Action Potential Generator Circuit

Few biological cells are as interesting to the electrical engineer as the neuron. Neurons are essentially capacitors (with a dielectric cell membrane separating conductive fluid on each side) with parallel charge pumps, leak currents, and nonlinear voltage-dependent currents. When massively parallelized, these individual functional electrical units yield complex behavior and underlie consciousness. The study of the electrical properties of neurons (neurophysiologically, a subset of electrophysiology) often involves the development and use of sensitive electrical equipment aimed at studying these small potentials produced by neurons and currents which travel through channels embedded in their membranes. It seems neurophysiology has gained an emerging interest from the hacker community, as evidenced by the success of Back Yard Brains, projects like the OpenEEG, and Hack-A-Day’s recent feature The Neuron – a Hacker’s Perspective.

In pondering designs for complex action potential detection and analysis circuitry, I realized that it would be beneficial to be able to generate action-potential-like waveforms on my workbench. The circuit I came up with to do this is a fully analog (technically mixed signal) action potential generator which produces lifelike action potentials.

 

Cellular Neurophysiology for Electrical Engineers (in 2 sentences): Neuron action potentials (self-propagating voltage-triggered depolarizations) in individual neurons are measured in scientific environments using single cell recording tools such as sharp microelectrodes and patch-clamp pipettes. Neurons typically rest around -70mV and when depolarized (typically by external excitatory input) above a threshold they engage in a self-propagating depolarization until they reach approximately +40mV, at which time a self-propagating repolarization occurs (often over-shooting the initial rest potential by several mV), then the cell slowly returns to the rest voltage so after about 50ms the neuron is prepared to fire another action potential. Impassioned budding electrophysiologists may enjoy further reading Active Behavior of the Cell Membrane and Introduction to Computational Neuroscience.

The circuit I describe here produces waveforms which visually mimic action potentials rather than serve to replicate the exact conductances real neurons employ to exhibit their complex behavior. It is worth noting that numerous scientists and engineers have designed more physiological electrical representations of neuronal circuitry using discrete components. In fact, the Hodgkin-Huxley model of the initiation and propagation of action potentials earned Alan Hodgkin and Andrew Huxley the Nobel Prize in Physiology and Medicine in 1936. Some resources on the internet describe how to design lifelike action potential generating circuits by mimicking the endogenous ionic conductances which underlie them, notably Analog and Digital Hardware Neural Models, Active Cell Model, and Neuromorphic Silicon Neuron Circuits. My goal for this project is to create waveforms which resemble action potentials, rather than waveforms which truly model them. I suspect it is highly unlikely I will earn a Nobel Prize for the work presented here.

The analog action potential simulator circuit I came up with creates a continuous series action potentials. This is achieved using a 555 timer (specifically the NE555) in an astable configuration to provide continuous square waves (about 6 Hz at about 50% duty). The rising edge of each square wave is isolated with a diode and used to charge a capacitor*. While the charge on the capacitor is above a certain voltage, an NPN transistor (the 2N3904) allows current to flow, amplifying this transient input current. The capacitor* discharges predictably (as an RC circuit) through a leak resistor. A large value leak resistor slows the discharge and allows that signal’s transistor to flow current for a longer duration. By having two signals (fast and slow) using RC circuits with different resistances (smaller and larger), the transistors are on for different durations (shorter and longer). By making the short pulse positive (using the NPN in common collector configuration) and the longer pulse negative (using the NPN in common emitter configuration), a resistor voltage divider can be designed to scale and combine these signals into an output waveform a few hundred mV in size with a 5V power supply. Pictured below is the output of this circuit realized on a breadboard. The blue trace is the output of the 555 timer.

*Between the capacitance of the rectification diode, input capacitance of the transistor, and stray parasitic capacitance from the physical construction of my wires and the rails on my breadboard, there is sufficient capacitance to accumulate charge which can be modified by changing the value of the leak resistor.

This circuit produces similar output when simulated. I’m using LTspice (free) to simulate this circuit. The circuit shown is identical to the one hand-drawn and built on the breadboard, with the exception that an additional 0.1 µF capacitor to ground is used on the output to smooth the signal. On the breadboard this capacitance-based low-pass filtering already exists due to the capacitive nature of the components, wires, and rails.

A few improvements naturally come to mind when considering this completed, functional circuit:

  • Action potential frequency: The resistor/capacitor network on the 555 timer determines the rate of square pulses which trigger action potentials. Changing these values will cause a different rate of action potential firing, but I haven’t attempted to push it too fast and suspect the result would not be stable is the capacitors are not given time to fully discharge before re-initiating subsequent action potentials.
  • Microcontroller-triggered action potentials: Since action potentials are triggered by any 5V rising edge signal, it is trivially easy to create action potentials from microcontrollers! You could create some very complex firing patterns, or even “reactive” firing patterns which respond to inputs. For example, add a TSL2561 I2C digital light sensor and you can have a light-to-frequency action potential generator!
  • Adjusting size and shape of action potentials: Since the waveform is the combination of two waveforms, you can really only adjust the duration (width) or amplitude (height) of each individual waveform, as well as the relative proportion of each used in creating the summation. Widths are adjusted by changing the leak resistor on the base of each transistor, or by adding additional capacitance. Amplitude and the ratio of each signal may be adjusted by changing the ratio of resistors on the output resistor divider.
  • Producing -70 mV (physiological) output: The current output is electirically decoupled (through a series capacitor) so it can float at whatever voltage you bias it to. Therefore, it is easy to “pull” in either direction. Adding a 10k potentiometer to bias the output is an easy way to let you set the voltage. A second potentiometer gating the magnitude of the output signal will let you adjust the height of the output waveform as desired.
  • The 555 could be replaced by an inverted ramp (sawtooth): An inverted ramp / sawtooth pattern which produces rapid 5V rising edges would drive this circuit equally well. A fully analog ramp generator circuit can be realized with 3 transistors: essentially a constant current capacitor charger with a threshold-detecting PNP/NPN discharge component.
  • This action potential is not all-or-nothing: In real life, small excitatory inputs which fail to reach the action potential threshold do not produce an action potential voltage waveform. This circuit uses 5V rising edges to produce action potential waveforms. However, feeding a 1V rising edge would produce an action potential 1/5 the size. This is not a physiological effect. However, it is unlikely (if not impossible) for many digital signal sources (i.e., common microcontrollers) to output anything other than sharp rising edge square waves of fixed voltages, so this is not a concern for my application.
  • Random action potentials: When pondering how to create randomly timed action potentials, the issue of how to generate random numbers arises. This is surprisingly difficult, especially in embedded devices. If a microcontroller is already being used, consider Make’s write-up on the subject, and I think personally I would go with a transistor-based avalanche nosie generator to create the randomness.
  • A major limitation is that irregularly spaced action potentials have slightly different amplitudes. I found this out the next day when I created a hardware random number generator (yes, that happened) to cause it to fire regularly, missing approximately half of the action potentials. When this happens, breaks in time result in a larger subsequent action potential. There are several ways to get around this, but it’s worth noting that the circuit shown here is best operated around 6 Hz with only continuous regularly-spaced action potentials.

In the video I also demonstrate how to record the output of this circuit using a high-speed (44.1 kHz) 16-bit analog-to-digital converter you already have (the microphone input of your sound card). I won’t go into all the details here, but below is the code to read data from a WAV file and plot it as if it were a real neuron. The graph below is an actual recording of the circuit described here using the microphone jack of my sound card.

import numpy as np
import matplotlib.pyplot as plt
Ys = np.memmap("recording.wav", dtype='h', mode='r')[1000:40000]
Ys = np.array(Ys)/max(Ys)*150-70
Xs = np.arange(len(Ys))/44100*1000
plt.figure(figsize=(6,3))
plt.grid(alpha=.5,ls=':')
plt.plot(Xs,Ys)
plt.margins(0,.1)
plt.title("Action Potential Circuit Output")
plt.ylabel("potential (mV)")
plt.xlabel("time (ms)")
plt.tight_layout()
plt.savefig("graph.png")
#plt.show()

Let’s make some noise! Just to see what it would look like, I created a circuit to generate slowly drifting random noise. I found this was a non-trivial task to achieve in hardware. Most noise generation circuits create random signals on the RF scale (white noise) which when low-pass filtered rapidly approach zero. I wanted something which would slowly drift up and down on a time scale of seconds. I achieved this by creating 4-bit pseudo-random numbers with a shift register (74HC595) clocked at a relatively slow speed (about 200 Hz) having essentially random values on its input. I used a 74HC14 inverting buffer (with Schmidt trigger inputs) to create the low frequency clock signal (about 200 Hz) and an extremely fast and intentionally unstable square wave (about 30 MHz) which was sampled by the shift register to generate the “random” data. The schematic illustrates these points, but note that I accidentally labeled the 74HC14 as a 74HC240. While also an inverting buffer the 74HC240 will not serve as a good RC oscillator buffer because it does not have Schmidt trigger inputs.

The addition of noise was a success, from an electrical and technical sense. It isn’t particularly physiological. Neurons would fire differently based on their resting membrane potential, and the peaks of action potential should all be about the same height regardless of the resting potential. However if one were performing an electrical recording through a patch-clamp pipette in perforated patch configuration (with high resistance between the electrode and the internal of the cell), a sharp microelectrode (with high resistance due to the small size of the tip opening), or were using electrical equipment or physical equipment with amplifier limitations, one could imagine that capacitance in the recording system would overcome the rapid swings in cellular potential and result in “noisy” recordings similar to those pictured above. They’re not physiological, but perhaps they’re a good electrical model of what it’s like trying to measure a physiological voltage in a messy and difficult to control experimental environment.

This project was an interesting exercise in analog land, and is completed sufficiently to allow me to move toward my initial goal: creating advanced action potential detection and measurement circuitry. There are many tweaks which may improve this circuit, but as it is good enough for my needs I am happy to leave it right where it is. If you decide to build a similar circuit (or a vastly different circuit to serve a similar purpose), send me an email! I’d love to see what you came up with.


     

Logging I2C Data with Bus Pirate and Python

I’m working on a project which requires I measure temperature via a computer, and I accomplished this with minimal complexity using a BusPirate and LM75A I2C temperature sensor. I already had some LM75A breakout boards I got on eBay (from China) a while back. A current eBay search reveals these boards are a couple dollars with free shipping. The IC itself is available on Mouser for $0.61 each. The LM75A datasheet reveals it can be powered from 2.8V-5.5V and has a resolution of 1/8 ºC (about 1/4 ºF). I attached the device to the Bus Pirate according to the Bus Pirate I/O Pin Descriptions page (SCL->CLOCK and SDA->MOSI) and started interacting with it according to the Bus Pirate I2C page. Since Phillips developed the I2C protocol, a lot of manufacturers avoid legal trouble and call it TWI (two-wire interface).

Here I show how to pull data from this I2C device directly via a serial terminal, then show my way of automating the process with Python. Note that there are multiple python packages out there that claim to make this easy, but in my experience they are either OS-specific or no longer supported or too confusing to figure out rapidly. For these reasons, I ended up just writing a script that uses common Python libraries so nothing special has to be installed.

Reading data directly from a serial terminal

Before automating anything, I figured out what I2C address this chip was using and got some sample temperature readings directly from the serial terminal. I used RealTerm to connect to the Bus Pirate. The sequence of keystrokes I used are:

  • # – to reset the device
  • m – to enter the mode selection screen
    • 4 – to select I2C mode
    • 3 – to select 100KHz
  • W – to turn the power on
  • P – to enable pull-up resistors
  • (1) – to scan I2C devices
    • this showed the device listening on 0x91
  • [0x91 r:2] – to read 2 bytes from I2C address 0x91
    • this showed bytes like 0x1D and 0x20
    • 0x1D20 in decimal is 7456
    • according to datasheet, must divide by 2^8 (256)
    • 7456/256 = 29.125 C = 84.425 F

Automating Temperature Reads with Python

There should be an easy way to capture this data from Python. The Bus Pirate website even has a page showing how to read data from LM75, but it uses a pyBusPirateLite python package which has to be manually installed (it doesn’t seem to be listed in pypi). Furthermore, they only have a screenshot of a partial code example (nothing I can copy or paste) and their link to the original article is broken. I found a cool pypy-indexed python module pyElectronics which should allow easy reading/writing from I2C devices via BusPirate and Raspberry Pi. However, it crashed immediately on my windows system due to attempting to load Linux-only python modules. I improved the code and issued a pull request, but I can’t encourage use of this package at this time if you intend to log data in Windows. Therefore, I’m keeping it simple and using a self-contained script to interact with the Bus Pirate, make temperature reads, and graph the data over time. You can code-in more advanced features as needed. The graphical output of my script shows what happens when I breathe on the sensor (raising the temperature), then what happens when I cool it (by placing a TV dinner on top of it for a minute). Below is the code used to set up the Bus Pirate to log and graph temperature data. It’s not fast, but for temperature readings it doesn’t have to be! It captures about 10 reads a second, and the rate-limiting step is the timeout value which is currently set to 0.1 sec.

NOTE: The Bus Pirate has a convenient binary scripting mode which can speed all this up. I’m not using that mode in this script, simply because I’m trying to closely mirror the functionality of directly typing things into the serial console.

import serial
import matplotlib.pyplot as plt

BUSPIRATE_PORT = 'com3' #customize this! Find it in device manager.

def send(ser,cmd,silent=False):
    """
    send the command and listen to the response.
    returns a list of the returned lines. 
    The first item is always the command sent.
    """
    ser.write(str(cmd+'\n').encode('ascii')) # send our command
    lines=[]
    for line in ser.readlines(): # while there's a response
        lines.append(line.decode('utf-8').strip())
    if not silent:
        print("\n".join(lines))
        print('-'*60)
    return lines

def getTemp(ser,address='0x91',silent=True,fahrenheit=False):
    """return the temperature read from an LM75"""
    unit=" F" if fahrenheit else " C"
    lines=send(ser,'[%s r:2]'%address,silent=silent) # read two bytes
    for line in lines:
        if line.startswith("READ:"):
            line=line.split(" ",1)[1].replace("ACK",'')
            while "  " in line:
                line=" "+line.strip().replace("  "," ")
            line=line.split(" 0x")
            val=int("".join(line),16)
            # conversion to C according to the datasheet
            if val < 2**15:
                val = val/2**8
            else:
                val =  (val-2**16)/2**8
            if fahrenheit:
                val=val*9/5+32
            print("%.03f"%val+unit)
            return val
    
    
# the speed of sequential commands is determined by this timeout
ser=serial.Serial(BUSPIRATE_PORT, 115200, timeout=.1)

# have a clean starting point
send(ser,'#',silent=True) # reset bus pirate (slow, maybe not needed)
#send(ser,'v') # show current voltages

# set mode to I2C
send(ser,'m',silent=True) # change mode (goal is to get away from HiZ)
send(ser,'4',silent=True) # mode 4 is I2C
send(ser,'3',silent=True) # 100KHz
send(ser,'W',silent=True) # turn power supply to ON. Lowercase w for OFF.
send(ser,'P',silent=True) # enable pull-up resistors
send(ser,'(1)') # scan I2C devices. Returns "0x90(0x48 W) 0x91(0x48 R)"

data=[]
try:
    print("reading data until CTRL+C is pressed...")
    while True:
        data.append(getTemp(ser,fahrenheit=True))
except:
    print("exception broke continuous reading.")
    print("read %d data points"%len(data))

ser.close() # disconnect so we can access it from another app

plt.figure(figsize=(6,4))
plt.grid()
plt.plot(data,'.-',alpha=.5)
plt.title("LM75 data from Bus Pirate")
plt.ylabel("temperature")
plt.xlabel("number of reads")
plt.show()

print("disconnected!") # let the user know we're done.

Experiment: Measuring Heater Efficacy

This project now now ready for an actual application test. I made a simple heater circuit which could be driven by an analog input, PWM, or digital ON/OFF. Powered from 12V it can pass 80 mA to produce up to 1W of heat. This may dissipate up to 250 mW of heat in the transistor if partially driven, so keep this in mind if an analog signal drive is used (i.e., thermistor / op-amp circuit). Anyhow, I soldered this up with SMT components on a copper-clad PCB with slots drilled on it and decided to give it a go. It’s screwed tightly to the temperature sensor board, but nothing special was done to ensure additional thermal conductivity. This is a pretty crude test.

I ran an experiment to compare open-air heating/cooling vs. igloo conditions, as well as low vs. high heater drive conditions. The graph below shows these results. The “heating” ranges are indicated by shaded areas. The exposed condition is when the device is sitting on the desk without any insulation. A 47k resistor is used to drive the base of the transistor (producing less than maximal heating). I then repeated the same thing after the device was moved inside the igloo. I killed the heater power when it reached the same peak temperature as the first time, noticing that it took less time to reach this temperature. Finally, I used a 1k resistor on the base of the transistor and got near-peak heating power (about 1W). This resulted in faster heating and a higher maximum temperature. If I clean this enclosure up a bit, this will be a nice way to test software-based PID temperature control with slow PWM driving the base of the transistor.

Code to create file logging (csv data with timestamps and temperatures) and produce plots lives in the ‘file logging’ folder of the Bus Pirate LM75A project on the GitHub page.

Experiment: Challenging LM7805 Thermal Shutdown

The ubiquitous LM7805 linear voltage regulator offers internal current limiting (1.5A) and thermal shutdown. I’ve wondered for a long time if I could use this element as a heater. It’s TO-220 package is quite convenient to mount onto enclosures. To see how quickly it heats up and what temperature it rests at, screwed a LM7805 directly to the LM75A breakout board (with a dab of thermal compound). I soldered the output pin to ground (!!!) and recorded temperature while it was plugged in.

Power (12V) was applied to the LM7805 over the red-shaded region. It looks like it took about 2 minutes to reach maximum temperature, and settled around 225F. After disconnecting power, it settled back to room temperature after about 5 minutes. I’m curious if this type of power dissipation is sustainable long term…

Update: Reading LM75A values directly into an AVR

This topic probably doesn’t belong inside this post, but it didn’t fit anywhere else and I don’t want to make it its own post. Now that I have this I2C sensor mounted where I want it, I want a microcontroller to read its value and send it (along with some other data) via serial USART to an FT232 (USB serial adapter). Ultimately I want to take advantage of its comparator thermostat function so I can have a USB-interfaced PC-controllable heater with multiple LM75A ICs providing temperature readings at different sites in my project. To do this, I had to write code to interface my microcontroller to the LM75A. I am using an ATMega328 (ATMega328P) with AVR-GCC (not Arduino). Although there are multiple LM75A senor libraries for Arduino [link] [link] [link] I couldn’t find any examples which didn’t rely on Arduino libraries. I ended up writing functions around g4lvanix’s L2C-master-lib.

Here’s a relevant code snippit. See the full code (with compile notes) on this GitHub page:

uint8_t data[2]; // prepare variable to hold sensor data
uint8_t address=0x91; // this is the i2c address of the sensor
i2c_receive(address,data,2); // read and store two bytes
temperature=(data[0]*256+data[1])/32; // convert two bytes to temperature

 

 

This project lives on my growing GitHub page for microcontroller projects:

https://github.com/swharden/AVR-projects/

 


     

1 Rotary Encoder, 3 Pins, 6 Inputs

Rotary encoders are a convenient way to add complex input functionality to small hardware projects with a single component. Rotary encoders (sometimes called shaft encoders, or rotary shaft encoders) can spin infinitely in both directions and many of them can be pressed like a button. The volume knob on your car radio is probably a rotary encoder.

With a single component and 3 microcontroller pins I can get six types of user input: turn right, turn left, press-and-turn right, press-and-turn left, press and release,  and press and hold. Let’s pretend “press and hold and turn” is not a thing…

A few years ago I [posted a video] on YouTube discussing how rotary shaft encoders work and how to interface them with microcontrollers. Although I’m happy it has over 13,000 views, I’m disappointed I never posted the code or schematics on my website (despite the fact I said on the video I would). A few years later I couldn’t find the original code anymore, and now that I’m working on a project using these devices I decided to document a simple case usage of this component. This post is intended to be a resource for future me just as much as it is anyone who finds it via Google or YouTube. This project will permanently live in a “rotary encoder” folder of my AVR projects GitHub page: AVR-projects. For good measure, I made a follow-up YouTube video which describes a more simple rotary encoder example and that has working links to this code.

At about $.50 each, rotary encoders are certainly more expensive than other switches (such as momentary switches). A quick eBay search reveals these components can be purchased from china in packs of 10 for $3.99 with free shipping. On Mouser similar components are about $0.80 individually, cut below $0.50 in quantities of 200. The depressible kind have two pins which are shorted when the button is pressed. The rotary part has 3 pins, which are all open in the normal state. Assuming the center pin is grounded, spinning the knob in one direction or the other will temporarily short both of the other pins to ground, but slightly staggered from each other. The order of this stagger indicates which direction the encoder was rotated.

I typically pull these all high through 10k series resistors (debounced with a 0.1uF capacitor to ground to reduce accidental readings) and sense their state directly with a microcontroller. Although capacitors were placed where they are to facilitate a rapid fall time and slower rise time, their ultimate goal is high-speed integration of voltage on the line as a decoupling capacitor for potential RF noise which may otherwise get into the line. Extra hardware debouching could be achieved by adding an additional series resistor immediately before the rotary encoder switch. For my simple application, I feel okay omitting these. If you want to be really thorough, you may benefit from adding a Schmidt trigger between the output and the microcontroller as well. Note that I can easily applying time-dependent debouncing via software as well.

Quick Code Notes

Setting-up PWM on ATTiny2313

I chose to use the 16-bit Timer/Counter to generate the PWM. 16-bits of duty control feels excessive for controlling an LED brightness, but my ultimate application will use a rotary encoder to finely and coarsely adjust a radio frequency, so there is some advantage to having this fine level of control. To round things out to a simple value, I’m capping the duty at 10,000 rather than the full 65,535. This way I can set the duty to 50% easily by setting OCR1A to 5,000. Similarly, spinning left/right can adjust duty by 100, and push-and-turn can adjust by 1,000.

void setupPWM_16bit(){
    DDRB|=(1<<PB3); // enable 16-bit PWM output on PB3
	TCCR1A|=(1<<COM1A1); // Clear OC1A/OC1B on Compare Match
	TCCR1B|=(1<<WGM13); // enable "PWM, phase and frequency correct"
	TCCR1B|=(1<<CS10); // enable output with the fastest clock (no prescaling)
	ICR1=10000; // set the top value (could be up to 2^16)
	OCR1A=5000; // set PWM pulse width (starts at 50% duty)
}

Simple (spin only) Rotary Encoder Polling

void poll_encoder_v1(){
	// polls for turns only
	if (~PINB&(1<<PB2)) {
		if (~PINB&(1<<PB1)){
			// left turn
			duty_decrease(100);
		} else {
			// right turn
			duty_increase(100);
		}			
		_delay_ms(2); // force a little down time before continuing 
		while (~PINB&(1<<PB2)){} // wait until R1 comes back high
	}
}

Simple (spin only) Rotary Encoder Polling

void poll_encoder_v2(){
	// polls for turns as well as push+turns
	if (~PINB&(1<<PB2)) {
		if (~PINB&(1<<PB1)){
			if (PINB&(1<<PB0)){
				// left turn
				duty_decrease(100);
			} else {
				// left press and turn
				duty_decrease(1000);
			}
		} else {
			if (PINB&(1<<PB0)){
				// right turn
				duty_increase(100);
			} else {
				// right press and turn
				duty_increase(1000);
			}
		}			
		_delay_ms(2); // force a little down time before continuing 
		while (~PINB&(1<<PB2)){} // wait until R1 comes back high
	}
}

What about an interrupt-based method?

A good compromise between continuous polling and reading pins only when we need to is to take advantage of the pin change interrupts. Briefly, we import avr/interrupt.h, set GIMSK, EIFR, and PCMSK (definitely read the datasheet) to trigger a hardware interrupt when a pin state change is detected on any of the 3 inputs. Then we run sei(); to enable global interrupts, and our functionality is identical without having to continuously call our polling function!

// run this only when pin state changes
ISR(PCINT_vect){poll_encoder_v2();}

int main(void){
	setupPWM_16bit();
	
	// set up pin change interrupts
	GIMSK=(1<<PCIE); // Pin Change Interrupt Enable 
	EIFR=(1<<PCIF); // Pin Change Interrupt Flag
	PCMSK=(1<<PCINT1)|(1<<PCINT2)|(1<<PCINT3); // watch these pins
	sei(); // enable global interrupts
	
	for(;;){} //forever
}

All code for this project is available on the GitHub:

https://github.com/swharden/AVR-projects

 


     

Raspberry Pi RF Frequency Counter

I build a lot of RF circuits, and often it’s convenient to measure and log frequency with a computer. Previously I’ve built standalone frequency counters, frequency counters with a PC interface, and even hacked a classic frequency counter to add USB interface (twice, actually). My latest device uses only 2 microchips to provide a Raspberry Pi with RF frequency measurement capabilities. The RF signal clocks a 32-bit counter SN74LV8154 ($1.04 on Mouser) connected to a 16-bit IO expander MCP23017 ($1.26 on Mouser) accessable to the Raspberry Pi (via I²C) to provide real-time frequency measurements from a python script for $2.30 in components! Well, plus the cost of the Raspberry Pi. All files for this project are on my GitHub page.

img_8773

The entire circuit is only two microchips! I have a few passives to clean up the RF signal (the RF input is loaded with a 1k resistor to ground, decoupled through a series 100 nF capacitor, and balanced at VCC/2 through a voltage divider of two 47k resistors), but if the measured signal is already a strong square wave they could be omitted. The circuit requires a gate pulse which typically will be 1 pulse per second (1PPS) and can be generated by dividing-down a 32.768kHz oscillator, a spare pin on a microcontroller, a fancy 1PPS time reference, or like in my case a GPS module (Neo-6M) with 1PPS output to provide an extremely accurate gate.

schem

The connections are intuitive! The I2C address is 0x20 when A0, A1, and A2 are grounded. GPB(1-4) control the register select of the counter, and GPA(0-7) reads each bit of the selected register. The whole thing is controlled from Python, but could be trivially written in any language.

img_8777

Here’s a quick summary describing how the code works: First I send bytes to address 0 and 1 to set all pins of GPIO A as inputs, and GPIO B as outputs. Note that only 4 of 8 pins are used for the output, so technically 4 extra pins could be used for things like blinking LEDs or controlling other devices. I then set the register select pins by sending a value to 0x13 (GPIO B), and read the entire GPIO A bus (INTCAPB, 0x18). For address details, consult the datasheet. I do this 4 times (1 for each byte of the 32-bit counter), do a little math to turn it into a frequency value, and compare the current value with the last value and take the difference to display as the measured frequency.

screenshot

An advantage of this continuously running mode is that no clock cycles are lost, so a gate which accidentally fires a bit early due to jitter and cuts-off a cycle will compensate for it on a subsequent read. This is shown above, as a very stable 10MHz frequency reference is measured with this method. A “slow” 1PPS clock tick causes a reading slightly higher, compensated-for by the next reading being slightly lower. In this way, clock sources which are extremely accurate but suffer from low precision (like GPS time sources) are able to maximize the long-term measurement of frequency. Combining this frequency measurement technique with the ability to generate an analog voltage with a Raspberry Pi will allow me to perform some interesting experiments with a voltage controlled crystal oscillator.

Useful Links:

 


     

Generating Analog Voltage with Raspberry Pi

I recently had the need to generate analog voltages from the Raspberry PI, which has rich GPIO digital outputs but no analog outputs. I looked into the RPi.GPIO project which can create PWM (which I wanted to smooth using a low pass filter to create the analog voltage), but its output on the oscilloscope looked terrible! It stuttered all over the place, likely because the duty is continuously under software control. I ended up solving my problem with a MCP4921 12-bit DAC chip (about $1.50 on eBay). It’s controlled via SPI, and although I could have written a python program to bit-bang its protocol with RPi.GPIO I realized I could write directly to the Raspberry Pi SPI device using the echo command. Dividing 3.3V into 12-bits (4096) means that I can control voltage in steps of less than 1mV each, right from the bash console!

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Video: The Problem (RPi PWM jitters)

Video: My Solution (SPI DAC)

Hardware Connection

There’s very little magic in how the microchip is connected to the Pi. It’s a straight shot to its SPI bus! Here’s a quick drawing showing which pins to connect. Check your device against the Raspberry Pi GPIO pinout diagram for different devices.

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Controlling the DAC with a Bus Pirate

Before I used a Raspberry Pi to control the DAC chip, I tested it out with a Bus Pirate. I don’t have a lot of pictures of the project, but I have a screenshot of a serial console used to send commands to the chip. One advantage of the Bus Pirate is that I can type bytes in binary, which helps to see the individual bits. I don’t have this ability when I’m working in the bash console.

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I’m less familiar with the Bus Pirate, but this was a good opportunity to get to know it a little better. It look me a long time (requiring I pull out the logic analyzer) to realize that I had to manually enable/disable the chip-select line, using the “[” and “]” commands. When I set up the SPI mode (command m5) I told it to use active low, but I wasn’t sure how to reverse the active level of the chip-select commands, so I just did ]this[ instead of [this] and it worked great.

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This is the signal probed when it was controlled by the Raspberry Pi, but it looked essentially identical when values were sent via the Bus Pirate. The only difference is there was an appreciable delay between the “]” commands and each of the bytes. It worked fine though.

Controlling the DAC with Console Commands

Once the hardware was configured, the software was trivial. I could control analog voltages by sending two properly-formatted bytes to the SPI hardware device. Importantly, you must use raspi-config to enable SPI.

# set analog voltage to minimum value (about 0V)
echo -ne "\x30\x00" > /dev/spidev0.0 # minimum

# set analog voltage to something a little higher
echo -ne "\x30\xAB" > /dev/spidev0.0 

# set analog voltage to maximum value (about 3.3V)
echo -ne "\x3F\xFF" > /dev/spidev0.0

Helpful Links:

 


     

Hacking a Cheap Ammeter / Voltmeter to Provide a Bluetooth PC Interface

I love analyzing data, so any time I see a cool device to measure something I usually want to save its output. I’ve lately come to enjoy the cheap panel-mount volt meters and current meters on eBay, and figured it would be cool to hack one to provide PC logging capability. After getting a few of these devices for ~$8 each on eBay and probing around, I realized they didn’t output measurement data on any of the pins (not that I really expected they would), so I coded a microcontroller to watch the lines of the multiplexed 7-segment display and figure out what the screen is displaying (an odd technique I’ve done once or twice before), then send its value to a computer using the microcontroller’s UART capabilities. Rather than interfacing a traditional serial port (using a MAX232 level converter, or even a TTL-level USB serial adapter) I decided to go full-scale-cool and make it wireless! I succeeded using a HC-06 Bluetooth serial adapter which you can find on eBay for ~$3. Although I have previously used custom software to hack the output of a TENMA multimeter to let me log voltage or current displayed on the multimeter, now I can measure current and voltage at the same time (wirelessly no less) and this is a far less expensive option than dedicating a multimeter to the task! The result is pretty cool, so I took pictures and am sharing the build log with the world.

The video summarizes the project, and the rest of this page details the build log. All of the code used to program the microcontroller (AVR-GCC), interface the device with the Bluetooth serial adapter, and plot the data (Python) is available as part of a GitHub project.

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This is what one of these modules looks like, and how it is intended to be used. One of the connectors has 3 wires (black = ground, red = power to run the display (anything up to 30V), and yellow = voltage sense wire). The other connector is thicker and is the current sense circuit. The black wire is essentially short-circuited to ground, so unfortunately this can only be used for low-side current sensing.

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The side of the display indicates which model it is. Note that if you wish to buy your own panel mount meters, look carefully at their current measuring range. Most of them measure dozens of amps with 0.1 A resolution. There are a few which only measure <1 A, but down to 0.1 mA resolution. This is what I prefer, since I rarely build equipment which draws more than 1 A.

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On the back you can see all of the important components. There’s a large current shunt resistor on the right, solder globs where the through-hole 4 character 7-segment displays fits in, and the microcontroller embedded in this device is a STM8S003 8-Bit MCU. This chip has UART, SPI, and I2C built-in, so it may be technically possible to have the chip output voltage and current digitally without the need for a man-in-the-middle chip like I’m building for this project. However, I don’t feel like reverse-engineering the hardware and software which takes measurements of voltage and current (which is an art in itself) and also figure out how to drive the display, so I’m happy continuing on developing my device as planned! I did probe all the pins just to be sure, and nothing looked like it was outputting data I could intercept. That would have been too easy!

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I snapped the device out of its plastic frame to be able to access the pins more easily.

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I then soldered-on headers to help with reverse-engineering the signals. Note that this was part of my investigation phase, and that these header pins were not needed for the end product. I have multiple panel mount ammeter / voltmeter modules on hand, so I left this one permanently “pinned” like this so I could access the pins if I needed to. A quick check with the continuity tester confirmed that every segment of every character (of both displays) is continuous (wired together).

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These headers made it easy to attach my 16-channel logic analyzer. I’m using an off-brand Saleae compatible logic analyzer. Their software is open source and very simple and easy to use. Saleae sells their official logic analyzers (which are well made and company supported) on their website, but they are expensive (although probably worth it). I purchased an eBay knock-off logic analyzer ($40) which “looks” like a Saleae device to the computer and works with the same open source software. If I were really serious about building professional products, I would certainly invest in an official Saleae product. For now, this is a good option for me and my hobby-level needs. An 8-channel version if as low as $10 on eBay, and $149 from Saleae.

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Connections are straightforward. I began probing only a single display. This is a good time to mention that an understanding of display multiplexing is critical to understanding how I’m reading this display! If you don’t know what a multiplexed display is, read up on the subject then come back here. It’s an important concept. While you’re at it, do you know what charlieplexing is?

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After gazing at the screen of squiggly lines, I was able to piece together which signals represented characters (due to their regularity) and which represented segments (which changed faster, and were more sporadic).

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I’ll be honest and say that I cheated a bit, using a very high value current limiting resistor and applying current (backwards) into the pins when the device was unplugged. I manged to illuminate individual segments of specific characters in the LCD. This supported what I recorded from the logic analyzer, and in reality could have been used to entirely determine which pins went to which characters/segments.

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Here’s what I came up with! It’s not that complicated: 16 pins control all the signals. The microcontroller raises all lines “high” to only one character at a time, then selectively grounds the segments (A-H) to pass current through only the LEDs intended to be illuminated. Characters are numbers and segments are letters. Note that “A” of the top display (voltage) is connected to the “A” of the second display (current), so both rows of 4 characters make 8 characters as far as the logic is concerned. The transistor isn’t really a discrete transistor, it’s probably the microcontroller sinking current. I used this diagram to conceptualize the directionality of the signals. The sample site of letters is high when a letter is illuminated, and the sample site of a segment is low when that segment is illuminated (the sample site of the segment is the base of the imaginary transistor).

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Knowing this, I can intentionally probe a few segments of a single character. Here is the logic analyzer output probing the second character (top), and two representative segments of that character (bottom). You can see the segments go nuts (flipping up and down) as other segments are illuminated (not shown). If you look closely at the blue annotations, you can see that each character is illuminated for about 1 ms and repeats every 13 ms.

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Now it was time to make my device! I started with a new panel meter and an empty project box. By this point I had reverse-engineered the device and concluded it would take 16 inputs of a microcontroller to read. I chose an ATMega328 which was perfect for the job (plenty of IO) although I could have used a much less powerful microcontroller if I wanted to interface an IO expander. The MCP23017 16-bit IO expander may have been perfect for the job! Anyway, I drilled a few circular holes in the back with a step-bit and cut-away a large square hole in the front with a nibbler so everything would snap-in nicely.

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I soldered wires to intercept the signal as it left the device’s microcontroller and went into the LED display.

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I then soldered the wires directly to my microcontroller. I also have an extra header available for programming (seen at the bottom) which I was able to remove once the software was complete. The red clip is clamping the serial Tx pin of the microcontroller and capturing the output into a USB serial adapter. Initially I debugged this circuit using the microcontroller’s on-board RC oscillator (1MHz) transmitting at 600 baud. I later realized that the serial bluetooth module requires 9600 baud. Although I could hack this with the internal RC clock, it was very unstable and garbage characters kept coming through. Luckily I designed around the potential of using an external crystal (pins 9 and 10 were unused) so it was an easy fix to later drop in a 11.0592 MHz crystal to allow stable transmission at 9600 baud.

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Now you can see the power regulation (LM7805) providing power to the MCU and wireless bluetooth module. Here’s the HC-06 datasheet (which is similar to HC-05) and another web page demonstrating how to use the breakout board. Also, I added a switch on the back which switches the voltage sense wire between the power supply and a sense connector which is on the back of the project box (red plastic banana jack).

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The bluetooth adapter expects 3.3V signals, so I added a quick and easy zener diode shunt regulator. I could have accomplished this by running my MCU on 3.3V (I didn’t have 3.3V regulators on hand though, and even so the module wants >3.6V to power the wireless transmitter) or perhaps a voltage divider on the output. On second thought, why did I use a zener ($!) over a resistor? Maybe my brain is stuck thinking about USB protocol standards.

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Since the chip was unstable transmitting 9600 baud, I tightened it up using a 11.0592 MHz crystal. The advantage of making your entire circuit look sketchy is that bodge jobs like this blend in perfectly and are unrecognizable!

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A quick reprogram to set the AVR fuses to switch from internal clock to external full-swing crystal was easy thanks to the female header I was able to pop out. I only recently started soldering-on headers like this with ribbon cable, but it’s my new favorite thing! It makes programming so easy.

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I packed it all in then added hot glue around the primary components (not shown). Again, if this were a production product I would have designed the hardware very differently. Since it’s a one-off job, I’m happy with it exactly like it is! It works, and it withstands bumps and shakes, so it’s good enough for me.

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I tested on a big piece of electrical equipent I’m building on the other side of the room. This device has its own 13.8V regulated power supply (and its own shelf!), so the wireless capability is fantastic to have. I just dropped this device between the power supply and the device under test. Rather than record the power supply voltage (which would always be a boring 13.8V) I decided to record a voltage test point of interest: the point just downstream of an LM7809 voltage regulator. I expected this voltage to swing wildly as current draw was high, and was very interested to know the voltage of this test point with respect to current draw. Although I have previously used custom software to hack the output of a TENMA multimeter to let me log voltage or current of this exact circuit, now I can measure both at the same time! Additionally, this is a far less expensive option than dedicating a multimeter to the task.

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I’m using RealTerm to access the serial port and log its output to a text file.

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A quick python script lets me graph the voltage/current relationship with respect to time. The (short) code to do this is on the GitHub page, and is demonstrated in the YouTube video.

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Here’s some data which shows the relationship between voltage (red trace) probed just downstream of an LM7809 voltage regulator and the total current draw of the system (blue trace). This data was recorded in real time, wirelessly, from across the room! This is exactly the type of interesting reading I was hoping to see.

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Now that it’s all together, I’m very happy with the result! This little device is happy serving as a simple voltage/current display (which is convenient in itself), but has the added benefit of continuously being available as a Bluetooth device. If I ever want to run an experiment to log/graph data, I just wirelessly connect to it and start recording the data. This build was a one-off device and is quite a hack (coding and construction wise). If I were interested in making a product out of this design, construction would greatly benefit from surface mount components and a PCB, and perhaps not necessitate super glue. For what it is, I’m happy how it came out, pleased to see it as a Bluetooth device I can connect to whenever I want, and I won’t tell anyone there’s super glue inside if you don’t.

Code used for this project is available at GitHub


     

Adding ADC to Microcontrollers without ADC

I recently had the need to carefully measure a voltage with a microcontroller which lacks an analog-to-digital converter (ADC), and I hacked together a quick and dirty method to do just this using a comparator, two transistors, and a few passives. The purpose of this project is to make a crystal oven controller at absolute minimal cost with minimal complexity. Absolute voltage accuracy is not of high concern (i.e., holding temperature to 50.00 C) but precision is the primary goal (i.e., hold it within 0.01 C of an arbitrary target I set somewhere around 50 C). Voltage measurement is usually a balance of a few factors: precision, accuracy, cost, simplicity, and speed. The method I demonstrate here maximizes precision and simplicity while minimizing cost. High speed operation is not of interest (1-2 measurements per second is fine), and as mentioned before accuracy is not a chief concern as long as precision is maximized. I would feel neglectful if I didn’t give a shout out to a few alternatives to this method: Using the 10-bit ADC built into most AVR microcontrollers (my go-to for ATMega328 at ATTiny85, but the ATTiny2313 doesn’t have any) often combined with an op-amp like this, using an IC like the MCP3208 8-channel 12-bit ADC (very expensive at $3.66 on mouser) are a good option, and fancy alternative dual slope methods as described in this really good youtube video and even mentioned nicely in the digital volt meter (DVM) / LCD driver ICL1706 datasheet. Those addressed, my quick and dirty idea uses only a couple cents of components and 3 pins of a microcontroller. There is much room for improvement (see my notes about a 555 timer, voltage reference, and operational amplifiers at the bottom) but this is a good minimal case starting point. This type of measurement is perfect for high precision temperature measuring using things like an LM335, LM35, or thermistor.

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The concept behind this method is simple: use a current-limiting circuit to charge a capacitor at a constant rate so voltage rises linearly with time (rather than forming an exponential RC curve), and time how long that voltage takes to cross your test voltage.

A circuit which compares two voltages and outputs high when one voltage surpasses the other is called a comparator, and many microcontrollers (including ATMEL AVRs) have analog comparators built in (which compare AIN0 and AIN1, the result of which accessable by accessing the ACSR&(1<<ACO)) bit value (at least for the ATMega328, according to the datasheet). I can use the AVR’s comparator to time how long it takes a capacitor to charge to the test voltage, and output to that to the serial port. Note that I designed this entire circuit to use the most common transistor/resistors I could think of. It can be fine-tuned to increase speed or increase precision, but this is a great starting point. To generate a constant current I need a PNP transistor (I had a 2N2907 on hand) with a voltage divider on the base and a current limiting resistor above the transistor for good measure (in retrospect, with a more carefully chosen set of values this may not be needed). This is all that’s needed to charge the capacitor linearly and generate a positive ramp.

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My test setup is a mess, but it demonstrates this idea works well, and is stable enough to run some experiments. In the frame you can see the ATMega328 microcontroller (big microchip), LM335 temperature sensor (the TO-92 closest to the MCU), a TTL FTDI serial/USB adapter (red board, top), and my USBTiny AVR programmer (blue board, right), and oscilloscope probes.

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To prevent this linear charger from charging forever, I make the microcontroller read the comparator which compares my test voltage with that of the ramp. If the test voltage is reached, or if the ramp reaches a cutoff voltage first (meaning the test voltage is too high to be measured), the count (time between last reset and now) is sent to the computer via serial port, and the capacitor is discharged through a PNP resistor. In the schematic, this is the “reset” pin. Note that the “measure” pin is AVR AC0, and AC1 is the test voltage. When all this is assembled, you can see how the linear ramps are created every time the reset transistor shuts off. Note that every 10th ramp is higher than the rest (shown here as the one left from center). This is because every 10th reading the data is summed and sent to the serial port, causing a little extra time before it is reset again. While the time value has been recorded of the comparator match of the test voltage and the ramp voltage, the capacitor is allowed to continue charging until the next cycle.

Interestingly, this method is largely insensitive to power supply noise. I’m using an extremely noisy environment (breadboard, DIP power regulator) but the recordings are rock solid. I suspect this is because the ramps are timed based on constant current, not abbsolute voltage, and that the ramps are fast enough to not be sensitive to slow changes in voltage. In reality, I don’t think I can adequately explain why the readings are so good when the supply is so shaky (the positive voltage rail is all over the place). It works, so I’m happy with it, and I’ll keep pushing forward.

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Lately I’ve been using RealTerm as a feature-rich alternative to HyperTerminal and a more convenient method than requiring custom python scripts be written every time I want to interact with the serial port in a way that involves debugging or logging or other advanced features. Here you can see the real time output of this device logging time to comparator match as it also logs to disk in a text file. This is great for simultaneously logging data (from RealTerm) and graphing it (from custom python scripts).

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This is what happens when I touch the temperature sensor for about 30s. I’m recording the time to voltage crossing of an LM335, so the number decreases as temperature increases. Also each data point is the average (actually the sum) of 10 points. It would be trivial to create some voltage test points, create a calibration curve, and infer the voltages involved, but this is more than enough already to prove that this method is robust and clean and precise and I couldn’t be more satisfied with the results! With a pair or capacitors and a few passives, this is totally implementable virtually anywhere. Considering my room is about 78F and my finger is about 98F, this 20F spread is about 1500 data points. That means each degree F is about 75 points, so I can resolve better 0.02 F (about 0.01 C) with this crude setup.

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If I let it run for about an hour, I catch my air conditioning coming on and off. Warmer temperature is higher voltage which means less time to charge, so the downslopes are my AC cooling my home and the up slope is my home passively warming. The fluctuations are only about 100 units which I (backwards calculate) assume are about 1-2 F.

These numbers seem so arbitrary! How can we calibrate this? This opens up a Pandora’s box of possible improvements. I’ll close by saying that this project works great exactly how it is to meet my needs. However, some modifications could be made to change the behavior of this device:

  • Slowing things down: A larger capacitor value (or higher resistor value) would increase the time or charging, lengthen the time to comparator threshold crossing, and increase precision. The readings would be slower (and more susceptible to noise), but it’s an option.
  • Self-calibration: Components (Rs and Cs) are sensitive to temperature and charge time can fluctuate with age, wear, temperature, etc. To self-calibrate with each sweep, add an additional comparator step which compares voltages between a precision voltage reference and your ramp would be a way to self-calibrate your ramp charge rate with each sweep. Optimally do this with two voltage references (3.3V and 1.8V are common) but comparing 0V to a single voltage reference would be a great step.
  • Don’t have the microcontroller gate: A 555 is perfectably capable of generating pulses to reset the ramp every so often, and frees up a pin of the microcontroller.
  • Use an op-amp for constant current charging. It seems like a lateral move, but if your deign already has an op-amp chances are there may be some unused amps, so eliminate a transistor for this purpose! Check out the constant current source section from TIs handbook on operational amplifier applications.
  • Use an op-amp for the comparator(s). The microcontroller’s comparator is handy, but if yours doesn’t have one (or you don’t feel like using one) configuring an unused op-amp stage as a comparator is a good option. The digital output could also trigger an interrupt on the digital input of a MCU pin as well!
  • Use timer and counters to measure time while using an external interrupt to gate the count. Your microcontroller’s on-board counter is likely extremely powerful so utilize it! This example doesn’t use it actually, but using it would let you count up to the CPU clock’s frequency of ticks between ramp starts and the comparator match.
  • Eliminate the microcontroller. Yeah, you heard me. If you use an op-amp keep resetting the ramps, and op-amp comparators to generate digital outputs of threshold crossings, you can use a standard counter (configured to latch then clear when the reset event is engaged by the 555 which induces resetting of the ramp by draining the capacitor), just use a counter IC to capture the value. You can clock it as fast as you want! You could even have it output its value directly to LED or LCD displays. In fact, this is how some digital volt meters work without the need for a microcontroller.

All code used in this project is available on its GitHub page


     

VHF Frequency Counter with PC Interface

Projects I build often involve frequency synthesis, and one of the most useful tools to have around is a good frequency counter. Being a budding programmer and data analysis guru, I love the idea of being able to access / log / analyze frequency readings on my computer too. Commercial frequency counters can be large, expensive, and their calibration is a chicken-and-egg problem (you need a calibrated frequency counter to calibrate a frequency reference you use to calibrate a frequency counter!). For about the cost of a latte I made a surprisingly good frequency frequency counter (which directly counts >100 MHz without dividing-down the input signal) by blending a SN74LV8154 dual 16-bit counter (which can double as a 32-bit counter, $1.04 on mouser) and an ATMega328 microcontroller ($3.37 on Mouser). Although these two chips are all you need to count something, the accuracy of your counts depend on your gate. If you can generate a signal of 1 pulse per second (1PPS), you can count anything, but your accuracy depends on the accuracy of your 1PPS signal. To eliminate the need for calibration (and to provide the 1PPS signal with the accuracy of an atomic clock) I’m utilizing the 1PPS signal originating from a GPS unit which I already had distributed throughout my shack (using a 74HC240 IC as a line driver). If you don’t have a GPS unit, consider getting one! I’m using a NEO-6M module ($17.66 on Amazon) to generate the 1PPS gate, and if you include its cost we’re up to $22.07. Also, all of the code for this project (schematics, C that runs on the microcontroller, and a Python to interact with the serial port) is shared on GitHub! You may be wondering, “why do GPS units have incredibly accurate 1PPS signals?” It’s a good question, but a subject for another day. For now, trust me when I say they’re fantastically accurate (but slightly less precise due to jitter) if you’re interested in learning more read up on GPS timing.

 

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This is the general idea behind how this frequency counter works. It’s so simple! It’s entirely digital, and needs very few passive components. sn74lv8154 is configured in 32-bit mode (by chaining together its two 16-bit counters, see the datasheet for details) and acts as the front-end directly taking in the measured frequency. This chip is “rare” in the sense I find very few internet projects using it, and they’re not available on ebay. However they’re cheap and plentiful on mouser, so I highly encourage others to look into using it! The datasheet isn’t very clear about its maximum frequency, but in my own tests I was able to measure in excess of 100 MHz from a breadboarded circuit! This utilized two cascaded ICS501 PLL frequency multiplier ICs to multiply a signal I had available (the 11.0592 MHz crystal the MCU was running from) by ten, yielding 110 MHz, which it was able to measure (screenshot is down on the page).

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The 1PPS gate signal is generated from an inexpensive GPS module available on AmazonI’ve hinted at the construction of this device before and made a post about how to send output signals like the 1PPS signal generated here throughout your shack via coax using a line driver, so I won’t re-hash all of those details here. I will say that this module has only VCC, GND, and TX/RX pins, so to get access to the 1PPS signal you have to desolder the SMT LED and solder a wire to its pad. It requires a bit of finesse. If you look closely, you can see it in this picture (purple wire).

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I first built this device on a breadboard, and despite the rats nest of wires it worked great! Look closely and you can see the ICS501 frequency multiplier ICs I wrote about before. In this case it’s measuring the 10x multiplied crystal frequency clocking the MCU (11 MHz -> 110 MHz) and reporting these readings every 1 second to the computer via a serial interface.

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Frequency measurements of the VHF signal are reported once per second. Measurements are transmitted through a USB serial adapter, and captured by a Python script. Note that I’m calling this signal VHF because it’s >30 MHz. I am unsure if this device will work up to 300 MHz (the border between VHF and UHF), but I look forward to testing that out! Each line contains two numbers: the actual count of the counter (which is configured to simply count continuously and overflow at 2^32=4,294,967,296), and the gated count (calculated by the microcontroller) which is the actual frequency in Hz.

This screenshot shows that my ~11.05 MHz crystal is actually running at 11,061,669.4 Hz. See how I capture the 0.4 Hz unit at the end? That level of precision is the advantage of using this VHF-capable counter in conjunction with a 10x frequency multiplier!

Once I confirmed everything was working, I built this device in a nice enclosure. I definitely splurge every few months and buy extruded split body aluminum enclosures in bulk (ebay), but they’re great to have on hand because they make projects look so nice. I added some rubber feet (cabinet bumpers from Walmart), drilled holes for all the connectors with a continuous step drill bit, made a square hole for the serial port using a nibbler, and the rest is pretty self-evident. Labels are made with a DYMO LetraTag (Target) and clear labels (Target, Amazon) using a style inspired by PA2OHH. I tend to build one-off projects like this dead-bug / Manhattan style.

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I super-glued a female header to the aluminum frame to make in-circuit serial programming (ICSP) easy. I can’t believe I never thought to do this before! Programming (and reprogramming) was so convenient. I’m going to start doing this with every enclosed project I build from now on. FYI I’m using a USBTiny ISP ($10.99, Amazon) to do the programming (no longer the BusPirate, it’s too slow) like I describe here for 64-bit Windows 7 (although I’m now using Windows 10 and it works the same).

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The front of the device has LEDs indicating power, serial transmission, and gating. Without a 1PPS gate, the device is set to send a count (of 0) every 5 seconds. In this case, the TX light will illuminate. If a gate is detected, the TX and GATE LEDs will illuminate simultaneously. In reality I just drilled 3 holes when I really needed two, so I had to make-up a function for the third LED (d’oh!)

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The back of the device has serial output, frequency input, gate input, and power. Inside is a LM7805 voltage regulator, and careful attention was paid to decoupling and keeping ripple out of the power supply (mostly so our gate input wouldn’t be affected). I’m starting to get in the habit of labeling all serial output ports with the level (TTL vs CMOS, which makes a HUGE difference as MAX232 level converter may be needed, or a USB serial adapter which is capable of reading TTL voltages), as well as the baud rate (119200), byte size (8), parity (N), and stop bit (1). I just realized there’s a typo! The label should read 8N1. I don’t feel like fixing it, so I’ll use a marker to turn the 2 into an 8. I guess I’m only human after all.

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I should have tried connecting all these things before I drilled the holes. I got so lucky that everything fit, with about 2mm to spare between those BNC jacks. Phew!

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This is an easy test frequency source. I have a dozen canned oscillators of various frequencies. This is actually actually a voltage controlled oscillator (VCO) with adjustment pin (not connected), and it won’t be exactly 50 MHz without adjustment. It’s close enough to test with though! As this is >30 MHz, we can call the signal VHF.

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You can see on the screen it’s having no trouble reading the ~50 MHz frequency. You’ll notice I’m using RealTerm (with a good write-up on sparkfun) which is my go-to terminal program instead of HyperTerminal (which really needs to go away forever). In reviewing this photo, I’m appreciating how much unpopulated room I have on the main board. I’m half tempted to build-in a frequency multiplier circuit, and place it under control of the microcontroller such that if an input frequency from 1-20MHz is received, it will engage the 10x multiplier. That’s a mod for another day though! Actually, since those chips are SMT, if I really wanted to do this I would make this whole thing a really small SMT PCB and greatly simplify construction. That sounds like a project for another day though…

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Before closing it up I added some extra ripple protection on the primary counter chip. There’s a 560 uH series inductor with the power supply, followed by a 100 nF capacitor parallel with ground. I also added ferrite beads to the MCU power line and gate input line. I appreciate how the beads are unsecured and that this is a potential weakness in the construction of this device (they’re heavy, so consider what would happen if you shook this enclosure). However, anything that would yank-away cables in the event of shaking the device would probably also break half the other stuff in this thing, so I think it’s on par with the less-than-rugged construction used for all the other components in this device. It will live a peaceful life on my shelf. I am not concerned.

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This is the final device counting frequency and continuously outputting the result to my computer. In the background you can see the 12V power supply (yellow) indicating it is drawing only 20 mA, and also the GPS unit is in a separate enclosure on the bottom right. Click here to peek inside the GPS 1PPS enclosure.

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I’m already loving this new frequency counter! It’s small, light, and nicely enclosed (meaning it’s safe from me screwing with it too much!). I think this will prove to be a valuable piece of test equipment in my shack for years to come. I hope this build log encourages other people to consider building their own equipment. I learned a lot from this build, saved a lot of money not buying something commercial, had a great time making this device, and I have a beautiful piece of custom test equipment that does exactly what I want.

Microcontroller code (AVR-GCC), schematics, and a Python script to interface with the serial port are all available on this project’s GitHub page



Afterthought: Using without GPS

One of the great advantages of this project is that it uses GPS for an extremely accurate 1 PPS signal, but what options exist to adapt this project to not rely on GPS? The GPS unit is expensive (though still <$20) and GPS lock is not always feasible (underground, in a Faraday cage, etc). Barring fancy things like dividing-down rubidium frequency standards or oven controlled oscillators, consider having your microcontroller handle the gating using either interrupts and timers precisely configured to count seconds. Since this project uses a serial port with a 11.0592 MHz crystal, your 1PPS stability will depend on the stability of your oscillator (which is pretty good!). Perhaps more elegantly you could use a 32.768 kHz crystal oscillator to create a 1 PPS signal. This frequency can be divided by 2 over and over to yield 1 Hz perfectly. This is what most modern wristwatches do. Many AVRs have a separate oscillator which can accomodate a 32 kHz crystal and throw interrupts every 1 second without messing with the system clock. Alternatively, the 74GC4060 (a 14 stage ripple counter) can divide 32k into 1 Hz and even can be arranged as an oscillator (check the datasheet). It would be possible to have both options enabled (local clock and GPS) and only engage the local clock if the GPS signal is absent. If anyone likes the idea of this simple VHF frequency counter with PC interface but doesn’t want to bother with the GPS, there are plenty of options to have something almost as accurate. That really would cut the cost of the final device down too, keeping it under the $5 mark.

Update: Integrating Counter Serial Output with GPS Serial Output

The NEO-M8 GPS module is capable of outputting serial data at 9600 baud and continuously dumps NEMA formatted GPS data. While this isn’t really useful for location information (whose frequency counter requires knowing latitude and longitude?) it’s great for tracking things like signal strength, fix quality, and number of satellites. After using this system to automatically log frequency of my frequency reference, I realized that sometimes I’d get 1-2 hours of really odd data (off by kHz, not just a few Hz). Power cycling the GPS receiver fixes the problem, so my guess it that it’s a satellite issue. If I combine the GPS RX and counter in 1 box, I could detect this automatically and have the microcontroller power cycle the GPS receiver (or at the least illuminate a red error LED). I don’t feel like running 2 USB serial adapters continuously. I don’t feel like programming my AVR to listen to the output from the GPS device (although that’s probably the correct way to do things).  Instead I had a simpler idea that worked really well, allowing me to simultaneously log serial data from my GPS unit and microcontroller (frequency counter) using 1 USB serial adapter.

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The first thing I did was open up the frequency counter and reconnect my microcontroller programmer. This is exactly what I promised myself I wouldn’t do, and why I have a nice enclosure in the first place! Scott, stop fidgeting with things! The last time I screwed this enclosure together I considered adding super glue to the screw threads to make sure I didn’t open it again. I’ll keep my modifications brief! For now, this is a test of a concept. When it’s done, I’ll revert the circuitry to how it was and close it up again. I’ll take what I learn and build it into future projects.

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I peeked at the serial signals of both the frequency counter (yellow) and the GPS unit output (blue). To my delight, there was enough dead space that I thought I could stick both in the same signal. After a code modification, I was able to tighten it up a lot, so the frequency counter never conflicts with the GPS unit by sending data at the same time.

img_8403

I had to slow the baud rate to 9600, but I programmed it to send fewer characters. This leaves an easy ~50ms padding between my frequency counter signal and the GPS signal. Time to mix the two! This takes a little thought, as I can’t just connect the two wires together. Serial protocol means the lines are usually high, and only pulled down when data is being sent. I had to implement an active circuit.

fullsizerender-2

Using a few components, I built an AND gate to combine signals from the two serial lines. For some reason it took some thought before I realized an AND gate was what I needed here, but it makes sense. The output is high (meaning no serial signal) only when both inputs are high (no serial signals on the input). When either signal drops low, the output drops low. This is perfect. My first thought was that I’d need a NOR gate, but an inverted AND gate is a NOR gate.

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Here’s my quick and dirty implementation. A reminder again is that this will be removed after this test. For now, it’s good enough.

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After connecting the GPS serial output and frequency counter serial output to the AND gate (which outputs to the computer), I instantly got the result I wanted!

serial-combine

RealTerm shows that both inputs are being received. It’s a mess though. If you want to know what everything is, read up on NEMA formatted GPS data.

combined-python

I whipped-up a python program to parse, display, and log key information. This display updates every 1 second. The bottom line is what is appended to the log file on ever read. It’s clunky, but again this is just for testing and debugging. I am eager to let this run for as long as I can (days?) so I can track how changes in satellite signal / number / fix quality influence measured frequency.


     

ICS501 Simple Frequency Multiplier

Today I made a high frequency multiplier using a single component: the ICS501 PLL clock multiplier IC. This chip provides 2x, 5x, 8x (and more) clock multiplication using an internal phased-lock loop (PLL). At less than a dollar on eBay$1.55 on mouser, and $0.67 on Digikey, they don’t break the bank and I’m glad I have a few in my junk box! I have a 10MHz frequency standard which I want to use to measure some 1Hz (1pps) pulses with higher precision, so my general idea is to use a frequency multiplier circuit to increase the frequency (to 80 MHz) and use this to run a counter IC to measure the number of clock pulses between the PPS pulses. I spent a lot of time working with the CD4046 micro-power phased lock loop IC which has a phase comparator and a voltage controlled oscillator built in. It seemed this chip was the go-to for many years, but it requires external circuitry (ICs in my case) to divide by N and is intended to adjust a VCO output voltage based on the phase difference of two different inputs. Although I made some great progress using this chip, I found a few SMT ICS501 ICs in my junk box and decided to give them a try. I was impressed how easy it was to use! I just fed it 5V and my clock signal, and it output 8x my clock signal! Since I don’t have my 10MHz reference frequency running at the moment, I tested it with a 1MHz canned oscillator. It worked great, and was so easy! I’ll definitely be using this chip to multiply-up crystal oscillator frequencies to improve the precision of frequency counting.

datasheet

The pin connections are straightforward: +5V and GND to pins 2 and 3, no connection for pins 7 and 8, clock goes in 1 and comes out on 5. Pins 4 and 6 are both set to +5V to yield a x8 multiplier, according to the chart. All of this is in the datasheet for the chip.

IMG_8104

The IC I had on hand was SOIC. I don’t think they make this IC in DIP. Luckily, I have breadboardable breakout boards on hand. These breakout boards are identical to those sold on dipmicro but I got mine from ebay and they’re all over ebay!

IMG_8111

I didn’t feel like changing my soldering iron tip so I gave it a go with a huge wedge, and it worked pretty well! I first melted a little bit of solder on all the rails, waited until it cooled, pressed the IC into the solder, then re-melted it with the iron. It was relatively easy and I had no shorts. I do have a hot air gun (which I also didn’t feel like setting up and waiting for to get warm) but this worked fine…

IMG_8113

Here’s the test circuit. I added a 100nF power decoupling capacitor and a SMT LED (with a 1 kOhm current limiting resistor) so I could tell when it was powered. I am using a 1MHz can oscillator at the input of the ICS501, and capturing both outputs through a 0.1uF capacitors terminating in a 50 ohm loads (at the oscilloscope, seen better in the next photo).

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It worked immediately with no trouble! The top trace is the original 1MHz clock signal, and the bottom is the 8MHz trace.

ics501-demo

The frequency isn’t exactly 1MHz because the adjustment pin of the can oscillator has been left floating. Also, I recognize the power supply is noisy which is also getting noise in the signals. None of that matters, I’m just testing the concept here. The bottom line is that the ICS501 is an extremely easy way to multiply a clock frequency to beyond 100 MHz and it requires no external components! I will definitely be using this IC in some of my future designs. I’m glad I have it! I had to search my email to see when I ordered it because I had no memory of doing so. It looks like I got them in August 2013 (3 years ago!) and never used them. Regardless, I’m happy to have found them in my junk box, and will definitely be using them from now on.

Update: Cascading Two ICS501s for 10x Frequency Multiplication

My ultimate goal is to build a frequency counter using a 10 MHz frequency source, multiplied to a higher value for greater precision. Although I could achieve 8x frequency multiplication with a single ICS501, I didn’t like the idea of frequency steps not being decimal. I decided to try to cascade two ICS501 chips configured to multiply by 2 then by 5 to yield 10. Supposedly this could work on a range of frequencies up through 64x multiplication, but for me generating 100 MHz from a 10 MHz reference is exactly what I need.

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Here’s my design. It’s simple. I configure S0 or S1 as floating, grounded, or high to set the multiplication factor (see the chart above).

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Here’s my implementation. I didn’t have enough space on the breakout board to fit the whole chip (I was missing a single row!). Luckily the SMT perf board is spaced perfectly for SOIC. I was surprised how easy this thing was to solder on the SMT perf board. I’m going to have to buy some more and try prototyping with it. It would be cool to get good at it. That’s another story for another day though…

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The breadboard design got way easier! This thing now just needs power (+5V and GND), an input signal (1 MHz in this demo), and the output signal is 10x the input (10 MHz).

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This is what the output looks like. Signals terminate into a 10 ohm load at the level of the oscilloscope.

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I had the USB drive in the thing so I went ahead and pushed the print button. Here’s the actual screen capture.

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Here it is converting 10 MHz into 100 MHz. The signals are a bit noisy, likely because both ICs are being powered together (behind the same inductor/capacitor). In a production device, each IC should have its own inductor/capacitor to isolate it from ripple on the power rail. Regardless, this works great in cascading arrangement to multiply HF frequencies to VHF frequencies. The 10MHz source is my oven controlled crystal oscillator (OCXO) which I haven’t written about yet.

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All in all, the ICS501 was an easy cheap single-component solution to frequency multiplication, and cascading two in series easily allows me to multiply the frequency of an incoming signal. I look forward to posting details of my frequency counter build soon!


     

TENMA Multimeter Serial Hack

I just spent the afternoon reverse-engineering the 72 series TENMA multimeter serial interface, and can now access all of its readings from a standalone Python script. This lets me send all measurements made with the multimeter to my computer in real time (using an optically isolated connection), and eliminates the need for the TENMA PC interface software. In addition to allowing the development of custom software to use measurements from TENMA multimeters in real time, this project also lets allows TENMA multimeters to interface with Linux computers (such as the raspberry pi). I’ve had a TENMA 72-7750 multimeter for several years, and over all I’ve been happy with it! To be honest, 90% of my multimeter needs are just using a continuity tester or checking to see if there is voltage on a line. For checking electrical signals, I love my no-name (actually it’s branded “KOMEC”) $15 eBay special multimeter. The screen updates about 4 times a second, and I don’t care if it’s off by 10%, it’s cheap and light and fast and easy for simple tasks. However, when I’m going to use a multimeter to actually measure something, I reach for a higher quality meter like my TENMA 72-7750. Although similar TENMA models may be more popular, I went with this particular one because it could measure frequency which is convenient when building RF circuits. While big fancy frequency counters are nice to have on your workbench, I liked the idea of having that functionality built into my multimeter. I believe my particular model is discontinued, but it looks like the 72-7745 is a similar product, and there are many TENMA multimeters on Amazon. Back in April of 2013 I mentioned on my website that I’d consider writing interface software in Python. Now that I’m [finally] out of school and have a little more free time, I decided to pick up the project again. I ran into a few tangles along the way, but I’m happy to report this project is now working beautifully! The pyTENMA project is open-sourced on my GitHub. I’m excited to see what kind of data I can get out of this thing!

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This is my multimeter taking a measurement (resistance) and sending the data to my computer using the optically-isolated serial connector (which ships with the multimeter). In this picture, it’s interacting with the official TENMA software. To try to figure out what was going on, I probed pins of the serial port while data was being exchanged. The yellow trace is the data signal. There was a problem, and this problem took me hours to figure it out, but now that I realize what’s going on it seems so obvious. The problem was that I could never get the multimeter to send my Python script data, despite the fact that the exact same configuration would send the commercial program data. I used serial port sniffing software to view the data too! I matched the baud rate (19200 / 19230), data bits (7), and parity (odd), and I just couldn’t figure out why the heck this thing wouldn’t work. I resorted to using an oscilloscope to probe the pins of the serial cable directly. I made a small man-in-the-middle test jig to give me headers I could easily probe or solder wires to. After poking around, I learned two things. (1) I really need a logic analyzer. They’re so cheap now, I went ahead and ordered one. (2) The RTS line goes low and the DSR line goes high when data is being sent. I realized that the Python software was disregarding these pins. You wouldn’t think you needed them if you’re just going to be receiving data with software control… but I immediately realized that those pins may be important for powering the optoelectronics (likely a phototransistor and some passive components) underlying the data exchange. After all, it’s not like the multimeter is able to source or sink appreciable current through an optical connection! I’ll note that some sketchy schematics are floating around Hackaday (pun intended), but the web page they link to doesn’t look very complete so I’m not sure how far that author got toward the same endeavor I’m chasing.

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Here you can see some of the adjacent (non-data) pins change their voltage state during transmissions. Once I realized replicating these states was also necessary, everything quickly fell into place. After manually commanding the RTS pin to lie low (1 line of code), the data starting coming in! I finished writing a basic pyTENMA class (which does a lot of hardware detection, string parsing, etc. to generate simple no-nonsense value/unit pairs to return to the user as well as log values to disk automatically) and tried to make it as simple as possible. Without going into too much detail (see the note in the top of my source code for more information), the multimeter just sends a 9-character ASCII string every second. I refer to this string as ABBBBCDEF. Byte 1 is a multiplier and bytes 2-5 are the value displayed on the screen. The actual value of a read is BBBB*10^A. The units depend on the mode (resistance, capacitance, etc), which is indicated by byte 6. It’s a little funny in that “4” means temperature and “;” means voltage, but once I figured out (through trial and error) which symbols match with which mode it was pretty easy to make it work for me. D is the sign (negative, zero, or positive), and I still haven’t really figured what E and F are. I thought they might be things like backlight or perhaps indicators of the range setting. I didn’t care to figure it out, because I already had access to the data I wanted!

To use the pyTENMA script, just drop it alongside a Python script you want to work on. Import it, tell it a COM port to use (if not, it’ll try to guess one) and a log file (optional). This is all the code you need:

import pyTENMA # make sure pyTENMA.py is in the same folder
PT=pyTENMA.pyTenma("COM4","log.txt")
PT.readUntilBroken()

The output is very simple. Here it is compared to the commercial TENMA software. PyroElectro has a good demonstration of the PC interface software that ships with this unit. While the TENMA software is functional, it has some serious limitations that motivate me to improve upon it. (1) It’s Windows only. (2) It doesn’t automatically log data (you have to manually click save to write it to disk). (3) It seems to be limited to COM1-COM4. My USB serial adapter was on COM7 and inaccessible to this program. I had to go in the device manager and change the advanced settings to allow the commercial software to read my device. (4) The graphs are poor, non-interactive, and often broken. (5) Data output format is only an Excel spreadsheet (.xls), and I don’t have control to save in other formats like CSV. If I’m going to use this on a raspberry pi, I don’t want to fumble around with Microsoft Office! Yeah I know I can get modules (even for Python) to access data in excel spreadsheets, but it seems like an unnecessary complexity just to retrieve some voltage readings. Over all it seems a little unfortunate that a relatively great product is pulled down when its weakest link is its software. It’s okay, we are on our way to can fixing this with pyTENMA!

pyTENMA
pyTENMA

 

official TENMA software
official TENMA software

Simple Example: Measuring capacitor leakage

I set up an experiment to demonstrate how logging data works. I charged a 22uF capacitor on a breadboard and let it sit there disconnected, slowly draining through leakage (and perhaps micro current draw from the multimeter). After a while I slowly charged it (using my body as a resistor, touching the +5V line and touching the capacitor lead with my fingers) and watched it discharge again. You can set pyTENMA software to save as little or often as you want. It defaults to every 10 reads, but I adjust it to every 100 reads for longer experiments. Also note that if you break it (with CTRL+C) it gently disconnects the serial device, logs remaining data to disk, then exits gracefully.
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In this demonstration, voltage across the capacitor on the breadboard is being measured by the multimeter, and reported (and logged) in real time by pyTENMA seen on the screen. Here is what that data looks like after about a half hour of run time. The code to read the log file and make graphs from it (using numpy and matplotlib) is in the logPlot source code.

logDemo

 

Real World Example: Measuring voltage and current during warm-up of an oven controlled crystal oscillator (OCXO)

Now that I know everything is up and running, I can use this device to make some measurements I’m actually interested in! In reality, this usage case is the reason I went through all the trouble to write custom data logging software for this multimeter is specifically for this case. I’m working on a large project involving a GPS-disciplined oven controlled crystal oscillator (OCXO) for a 1pps frequency reference, and spoiler alert it involves a raspberry pi to plot and upload live graphs of real-time frequency and accuracy statistics to my website. I don’t want to discuss it yet (it’s not complete), but I can’t avoid mentioning it since I’m showing photos of it. I’ll surely make a follow-up post when that project is complete and well documented. For now, the only relevant thing is that the device is an oven which takes a lot of current to heat from room temperature to a high temperature, and a smaller amount of current to maintain it at that temperature. I wanted to know how long it takes the current to stabilize over time (on a scale of hours), determine if its current draw oscillates, and also assess what the voltage at the oscillator reads during warm-up (high current draw) vs. stable conditions.

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My test setup uses the TENMA multimeter in current measuring configuration. Note the configuration of the multimeter test leads as being in series with the power supply.  This meter has two current measurement settings, one for <600 mA and one for up to 10 A. I know that the oscillator draws about 2 A during warm-up (this is because I’m intentionally limiting it to 2A), and stabilizes to somewhere near 200 mA after several minutes. To maximize my sample resolution, I started the recording using the 10 A setting, then after it dropped well below 600 mA I switched to the lower current setting. The data is colored red and blue, respectively:

current stabilizes within 10 minutes
current stabilizes within 10 minutes
Current is maxed-out for a few minutes, then oscillates (cool!) then stabilizes
Current is maxed-out for a few minutes, oscillates then stabilizes. 10 A / 600 mA measuring settings are in red and blue (respectively).
once stable, is stable for hours
once stable, current draw is stable for hours

I concluded that this thing stabilizes to within 10% of its final current draw well within 10 minutes. From there, it seems really stable, but slowly oscillates on a time scale of tens of minutes. I suspect this correlates with the AC unit of my house turning on and off. A similar recording of temperature of the oscillator (which the TENMA 72-7750 can also do with the thermocouple it was shipped with) may provide more insight as to whether or not the oscillator itself is actually changing temperature during these current oscillations. Now I’m curious what the voltage does during the warm-up period while the current is maxed out. I guess I need to reveal that my current limit is provided by two parallel LM7809 voltage regulators each in series with a 2 Ohm current limiting resistor before connecting to a common +9V rail which is running the oscillator. Since each regulator is current limited to about 1A, it’s no surprise my maximum current is about 2A, but I’d be interested to learn what the voltage is doing during that period.

I measured voltage just downstream of the voltage regulators.
I measured voltage just downstream of the voltage regulators.
The voltage reading is less exciting
The voltage reading is less exciting
During current max-out, the voltage is <<9V
During current max-out, the voltage is <<9V
voltage stabilizes after about 10 minutes
voltage stabilizes after about 10 minutes

I am interested in seeing what of these measurements (with more such as temperature and OCXO frequency) look like when they are all measured simultaneously. The TENMA multimeter I’m using can’t measure voltage and current at the same time (which would require a third lead, if you think about it), so this solution will require alternative equipment. Stay tuned, because I have a cool solution for that in the works! For now, I couldn’t be happier with my TENMA multimeter’s ability to log data to text files using pyTENMA and the ease in which numpy/matplotlib can read and graph them. A data logging multimeter is a great tool to have in any engineer’s toolbox, and I’m glad I now have one that plays nicely with Python.