Recently, I’ve sucessfully tested the new driver ciruit for my ultrasonic anemometer. It performed even better than I expected and I will be happy to use it pretty much as it is.
By the way: If you want to get an overview over how this project has developed over time check out the overview page. If you’re more interested in my latest design, this link will take to my new attempt.
So we have a circuit that can send powerful ultrasonic pulses from the right transducer, receive the signal from the opposite transducer and route it through an amplifier. The next task is to tell the time-of-flight from the received signal. A contemporary approach would probably involve some sort of DSP and software. My last approach used some analog circuitery to detect the zero crossings as well as the envelope of the received signal. Since most of the heavy lifting was done in hardware, a simple 8-bit microcontroller like the one on the Arduino UNO could be used to do the measurements.
For my new approach I haven’t quite decided which route to take. To me they both have a certain appeal. And over the last year or so I’ve had quite some ideas on how to process the signal in hardware so I’ll give it a try and see how it works out. In this post I’ll go through this new circuit and explain how it works (or is supposed to work) step-by-step.
The zero crossing detector (ZCD) is almost identical to to my last design. The amplifier output is biased to half the positive supply voltage and fed into a fast comparator (Microchip MCP6561R). On the comparator’s output we get a precise digital signal indicating if we are currently looking at the positive or negative half-wave. Right at the logic edge we observe a zero crossing which can then be used to very precisely determine the phase shift relative to the transmitted singal.
The more challenging part is to tell the absolute phase – this is where my last project was only partly successful. It used an active low-pass filter to get the envelope of the received singal. This envelope was then compared to some threshold and the time from the transmition of the singal to when the envelope exceeded the threshold was measured. With plenty of averaging this gave a usable but far from perfect indication of absolute phase. So this time I’ll try something entirely new.
The amplified singal is first run trough an active full-wave rectifier as found on page 257 of Horowitz and Hill’s 3rd edition of Art of Electronics. It uses two op amps as well as some resistors and diodes to produce a singal that corresponds to the absolute value of its input. The two op amps come in a single package. It’s the same type as for the amplification stage of the driver circuit – a Texas LMC6482.
Now the rest of the circuit is a bit more adventurous. It attempts to produce a signal that corresponds to the peak of the previous half-wave. So it is steady during each halv-wave period and should give a (hopefully precise) indication of the amplitude of the received signal. This singal can then sampled by an ADC at 80kHz triggered by the zero crossing detector. 80kHz is not that fast for a (say) 10-bit ADC and definitely much slower than what we’d need if we sampled the amplified signal directly.
The advantage of measuring the amplitude is the following: We can find the peak of the amplitude in simple software and use the time when the peak occured to find the absolute phase. So we are no longer dependant on the absolute amplitude (as we were with the envelope detector approach) but only care about when the peak in amplitude occured. I think (hope) this is a much more reliable approach.
In order to find the peak of each half-wave I use a pair of simple diode-plus-capacitor peak detectors. One is held stable (“hold”) and fed through an op-amp buffer to minimize droop while the other is looking for the next peak (“sample”). At the beginning of the sample period the capacitor is discharged through a n-channel mosfet that is turned on for just an instance.
The whole mechanism is controlled by the output of the zero-crossing detector so absolutely no software intervention is needed to produce it. The microcontroller can just wait for the ZCD to trigger an interrupt (as before) and take a sample of the output.
The circuit is not that complex and used an inexpensive and readily available 74HC4053 multiplexer at its center. I don’t have any idea yet how this thing will perform but I must say this little circuit was a lot of fun to design.
Until my next post I will have built and tested this cuircuit and will let you know how it performs. Until then I leave you with the eagle files as well as PDFs of the schematic and layout as a zip file.
Here’s how the final circuit looks and how it performs: Part 19.
When I first powered on the new shield, only two out of the four transducers worked. As it turned out, I had two different Direction signals on my schematic: one named DIR and one named DIRECTION. They should be one and the same signal but Eagle had no way of knowing about that so they ended up unconnected on the board as well. But luckily it was easy to fix with a piece of wire. After that, the circuit was quite ok. This was the first impression (with some comments of mine):
But let’s go through it step by step.
This was the main design flaw of the first version. Yes, it eventually worked but drew much more current than necessary. This one got the gain right the first time as can be seen from the screenshot above. Output amplitude was about 5.6V pp and the signal looked nice an clean.
So all I had to do was to tune the LC tanks to get them to resonate at 40kHz. The inductor has a 20 or even 30 percent tolerance rating and I can’t measure it. So I had to start somewhere, see how it performs and adjust it from there. I started with a 15nF cap and used a signal generator to find the resonance frequency for each amplifier stage.
At resonance, the phase shift is exactly 180 degrees. Maximizing gain should give the same result but I found it easier to look at the phase shift. Above you see two screenshots: one with the first amplifier stage in resonance at 40.98kHz and one with the second stage in resonance at 38.78kHz.
From that you can calculate how much more or less capacitance you need. It took me 3 attempts to get it really right but the final result looks like this:
Both stages are perfectly at resonance at 40kHz.
About the biasing: I’ve removed the 10k speed-up resistors R6 and R11. I guess they were unnecessary to start with and they lowered imput impedance too much. I noticed by the fact that there was a noticable voltage drop across the 100k biasing resistors R3 and R4. So while the emitter of the biasing transistor pairs was precisely 1V above ground as intended (I measured 1.015V), the actual amplifier’s darlington pair had it’s emitter only about 0.85V above ground. Not at all what I was looking for.
With the two resistors removed everything is fine. 1V emitter voltage for each of the four darlington pairs. And no measurable voltage drop accross the 100k resistors.
Zero Crossing Detector
I had changed the comparator to a much faster type and this is the result. Now it triggers exactly at the zero crossing, without any noticable delay.
Before it triggered nowhere near the actual zero crossing because it always lagged behind so much. Now this problem is gone and the edges of the ZCD output are very clean and steep. If you zoom in even more you’ll see that rise and fall times are only around 20ns and there is no overshoot and ringing.
No excuses for the Arduino to not trigger accurately on them.
I had changed the envelope circuit quite a bit. It has now two op-amp buffered low-pass filters. And this is what I get before the first stage (yellow), after the first stage (pink) and the final envelope (blue).
The first buffer has a gain of 2.5 set by the 15k and 10k resistors (R9 and R10). This has caused the op-amp to rail before the maximum amplitude was reached. I thought about reducing the gain but then decided to leave it as it is.
It doesn’t matter if we cut off the top of the envelope. All we care about is the rising edge, this is what we trigger on. We don’t care what happens after that. So the high gain gives us some more resolution in the area that we care about.
I’m using the same fast comparator for the envelope detector as for the ZCD. And it works just as perfectly here. Above you see how it generates a perfectly clean output signal (pink) when the envelpe (blue) crosses the threshold (yellow).
As you can see, there is still a small amount of ripple in the envelope. I have set the -3db points of the filters quite a bit higher than in the first version: 15k plus 1nF results in about 10.6kHz. So I’m smoothing the envelope quite a bit less than I used to.
I might try increasing the 100k resistor at the input to maybe 150k. That would result in less saw-toothing at the filter input (ENV1 above). But for now I leave it as it is.
Signal routing / multiplexer
I’m now using the second, otherwise unused half of the 74HC4052 to route the PWM signal to the right buffer of the 74HC126. This works flawlessly.
What doesn’t work is routing the pre-biased received signals to the amplifier. Well, the signal does get to the amplifier but look at the shape of the amplifier input (yellow signal) in the overview screenshot at the very top. It gets pulled down to zero every time I change the input channel.
So I had to change that back to how it was in the first version. The unbiased signal goes through the multiplexer and gets capacitively coupled into the amplifier where it is biased to the right level. But this time I don’t have the -5V supply at the multiplexer any more.
Here I’m again using a signal generator to generate an unbiased sine wave with 200mV amplitude pp which is applied at the multiplexer input. As you can see above, it reaches the amplifier input in perfect condition.
Even when I biased it to -300mV it passed almost unattenuated. Only when I increased the biasing to -700mV, the amplitude was cut in half:
So I’ve replaced the four capacitors at the multiplexer inputs (C16, C24, C25, C26) with zero-ohms resistors and placed one of them at between the multiplexer and the amplifier input. For this second part I had to do a bit of surgery on the board but nothing major.
Now the amplifier input looks ok:
Crosstalk / Mute signal
I’ve eliminated two of the three multiplexers in this design and was prepared to get quite a bit of cross-talk because of that. This is why I planned ahead and included a mute signal that lets me mute both the amplifier input and output.
As it turned out, there was not much of a crosstalk problem. Yes, the received signal does pick up some (around 100mV pp) of noise from the transmitted signal but it doesn’t do much harm.
Most of the noise is high frequency spikes and they don’t make it trough the amplifier. Apart from that: We are never transmitting and receiving at the same time. Note that the screenshots above are with the mute signal disabled. So I probabely won’t use that mute functionality going forward. One singal less to worry about. And if I change my mind the circuit is still there.
Temperature sensor / Voltage reference
Not much of a surprise here. I’ve measured the voltage reference output at 2.4989 volts, very close to the rated 2.5V and well within specs.
The temperature sensor also works like advertised. But It seems to be significantly (several degrees) warmer than ambient. I’ve used a thermocouple to measure the temperature of the sensor and the board around it and really found it to be several degrees warmer.
I have placed it a bit close to the LED which heats it up a bit. The orange LED I’ve used turned out to be very efficient so it was very bright with the 330 ohms resistor. I’ve changed that resistor to 1k now and the LED is still quite bright and only consumes a third of the power. But it didn’t help much as far as the temperature sensor is concerned.
Seems the heat is not mainly coming from the LED. Which brings us to the next topic.
I’ve measured the current (at 12V) the arduino was pulling at its DC plug. Since the Arduino is using a linear regulator, current should be independant of input voltage. Anything above 5V is just disposed as heat.
These are my results:
Arduino + shield + display: 67.3mA
Arduino + shield: 61.0mA
Arduino only: 52.4mA
So the display is pulling 6.3mA and the shield another 8.6mA. Most of the current is used by the Arduino itself.
The power consumption of the shield makes sense: Every darlington pair is pulling 1mA, the LED uses about 3mA. Makes 7mA so far which leaves 1.6mA for everything else.
The Arduino is using quite a bit more power than I thought. At 12V this makes about 0.6 watts. Which is probably what’s heating up our shield and the temperature sensor with it.
My first wind meter prototype is kind of working. The software will need improvement to make this wind meter into something really useful. But both hardware and software are basically functional and can be built up upon.
The next thing I will do is re-design the entire hardware. Instead of two distinct boards with wires all over the place I will design a single, standard-sized Arduino Shield that can be stacked on an Arduino Uno. Just like any of those commercially available shields that add motor control, Ethernet or whatever. That will make the whole setup much smaller and simpler. And I hope this will also make it easier for others (like you?) who want to build their own.
This re-design is what I’m going to talk about today so I guess there won’t be much in the way of photos, just some schematics and board layouts. And I’ll put all the Eagle files on the overview page as a zip download. Here’s what I’ve changed and why:
The first version used the (unregulated) Vin of the Arduino so it had a linear 5V regulator of its own. On top of that there was also a flying capacitor type inverter to generate a -5V rail for the analog multiplexer. Both of these chips have been eliminated. I’m now using the the 5V rail straight from the Arduino, there is just a 100uF tantal input cap. The -5V is no longer needed by the multiplexer. I’ll later explain why.
Signal routing / pulse generation / drive
The drivers are entirely new: I’ve replaced the two 74HC368 inverters with a single 74HC126 non-inverting line driver / buffer. It has four 3-state buffers, one for each transducer. The negative pin of each transducer is simply grounded in the new design. That costs us half the signal amplitude but simplifies things greatly. And our two-stage amplifier should have more than enough gain to make up for that.
As suggested earlier, there is only a single 74HC4052 left (instead of 3). We will get some crosstalk issues but we’re always transmitting or receiving, never both at the same time. Plus, the tuned amplifier filters out most of that high frequency stuff (such as square waves). And we have the option to mute the amplifier, this time both at the input as well as on the output. Not sure if we’ll need it, I’ll check once everything else is working.
Permanently grounding the negative pin of the transducers means we only have four signals to worry about. So I’m only using half of the 4052 to chose exactly one of the four signals. Y0, Y1, Y2, Y3 as inputs from the four transducers and Y as output that goes to the amplifier.
But why don’t I need the -5V anymore? Here is why. In my first design I routed the signal from the transducers straight through the 4052. Because this signal swings around ground, it will be negative half of the time and positive the other half. So I needed both a negative and a positive supply. Later, that signal was capacitively coupled into the amplifier where it was biased so somewhere around 2.3 volts. Now I already do the biasing before the 4052. So the signal will be positive at all times and hence there’s no longer a need for a negative voltage. I find this a really elegant solution, I just hope it will work 😉
There is still an Axis and Direction signal controlling a 74HC139 encoder generating the enable signals for the transducer drivers / output buffers. I had LEDs on these enable signals in the first version, these are no longer present. The software changes the axis/direction every 2ms so you won’t be able to see anything now.
The 74HC126 has active high enable signals (as opposed to the 125 which is otherwise identical). Since all but one enable signals are high, only one transducer can float freely. That’s our receiving transducer. That also means that the other 3 transducers are actively driven so only one of them must receive the PWM signal.
This is how I’ve solved this: As I said, I only used half of the 4052 for the tranducer signals. So the other half can be used to route the PWM signal from the Arduino to the correct output buffer. So the signal from the Arduino is connected to the input X and the outputs X0, X1, X2, X3 carry the signal to the different gates of the 74HC126. There is one potential problem: The outputs that are not selected are floating freely so there are 10k pull-down resistors on X0, X1, X2 and X3.
So from the 8 large ICs on the first version, only 3 are left. That saves plenty of board space so we can fit our circuit on a standard sized Arduino shield.
The basic design with two stages of tuned common emitter amplifiers with NPN darlington pairs has worked well so I’ll stick to that.
The main shortcoming of my first version was the 47uH plus 330nF LC tank (see part 4) so I’m changing that to 1mH plus 15.82nF. Same resonant frequency but much higher impedance. The inductor I’ve chosen has a dc resistance of a bit more than 16 ohms which will give a Q-factor of around 15 – comfortable for our application.
The main change is the biasing. A wind meter will be deployed outside so it is likely to see great variation in temperature. So the biasing of our amplifier and thus the quiscent current need to be stable over a wide temperature range. Two things make this a difficult task here: First, we’re using darlington pairs which means twice the variation in base-emitter drop. Second, our rather low operating voltage of 5 volts.
A common solution for difficult biasing situations is the use of a matched transistor to generate the base biasing voltage. And that’s what I’ll do here. Each stage has an additional darlington pair with collector and base connected for this purpose. So the collector will always be 2 diode drops (around 1.3V at room temperature) above its emitter. I want the emitter to sit 1V above ground and 1mA of quiscent current. So I add a 1k emitter resistor and a 2.7k collector resistor and get just that.
Base emitter drop will change by about -2mV per degree per transistor. So for a 50 degree increase in change in temperature, the drop accross our darlington pair will change from 1.3V to 1.1V – quite substantial. But quiscent current will only increase to 1.054mA and the emitter will then sit 1.054V above ground. A 5.4% variation for a 50 degree change in temperature. Not bad at all I think.
The last change to the amplifier is that I’ve put the gain limitting resistors (R7 and R12) in series with only the bypass caps (C5 and C10). This will let me change the gain without affecting biasing which is given by R8 and R13.
Zero Crossing Detector (ZCD)
Almost no change here. I’ve only changed my comparator to be a Microchip MCP6561R. It has a worst-case propagation delay of only 80ns which is 100 times faster than the one I used last time. And it’s still cheap: CHF 0.43 at Farnell if you buy 10.
I told you earlier that I had some trouble with my last envelope detector which utilized a VCVS active low-pass filter. If I turned up the gain too much I got wild output swings. I found a screen shot of that:
Green is the amplifier output. We’re trying to get the envelope of that. But look what happens to the pink line when I turn up the gain. Nothing to do with an envelope. And I would like even more gain to make the envelope use (almost) all of the 0…5 volts range.
I haven’t really understood why that is. Suggestions anyone? The only thing I can think of is the rather narrow gain-bandwidth product of the op amp, 600kHz if I remember correctly.
So I’m using two op-amp buffers, each followed by a normal RC low-pass filter. So I can set any gain I want for the two buffers without affecting the signal shape. As an added benefit, I can now look at the signal after each buffer / filter. I’ve also changed the op-amps to be Microchip MCP601R. Less precise (we don’t need precision here) but fast (2.8MHz) and cheaper.
At the very input of the envelope detector I’m now using a second (not really matched but same type) diode (D2) to produce a bias voltage just a diode drop above ground to precisely compensate for the rectifying diode (D1) of the envelope detector.
The comparator at the output is now a MCP6561R as for the ZCD. Not that we need the speed here, just to use the same type.
Everything new here. LMT86 as a temperature sensor. Cheap, works from -50 to +150 degrees centigrade and is accurate to 0.4 degrees. Its output is between 1.5 and 2.5volts over the temperature of interest. It comes in a SC-70 package. That’s a bit small but still hand-solderable without problem.
There is no more op-amp to scale it up but I’ve added a rather precise 2.5V voltage reference, the ADR361. Quite an overkill maybe but I thought if you are measuring wind speed you are likely to also measure things like humidity, pressure, light intensity or something like that. So with the anemometer shield you get a precise and stable reference for all your measurements.
As you can see, I ended up changing quite a lot. When laying out the board I was surprised how easily everything fitted in. Not only did the fewer logic ICs save space themselves, it also greatly simplified signal routing. As you can see from the photos, I’ve already made a board. All the components have arrived as well so I’m ready to go ahead and build it up. I’m really looking forward to seeing how it will perform. I just hope everything works as planned.
All the board and schematic PDFs as well as the Eagle files can be found on the overview page as a .zip file: http://soldernerd.com/arduino-ultrasonic-anemometer/
In my last post I talked about how to get the Arduino to output bursts of 40kHz pulses. Today I’ll go through the rest of the software so by the end of this post we’ll have a very rudimentary but working sketch for our ultrasonic wind meter.
If you’ve read part 7 of this series you will have noticed that all the key tasks are handled not in the main code but in interrupt service routines (ISRs). That’s fairly typical for an application like this one.
In this project, there are 2 ISRs:
TIMER1_COMPB Interrupt: It is triggered by Timer/Counter1. It sends 15 PWM pulses every 2ms and takes care of the Axis, Direction and Mute signals. Named TMR_INT on the screen shots in this post. This is what I’ve covered last time.
TIMER1_CAPT Interrupt: This is where all the measurement takes place. It is triggered by the envelope detector and zero-crossing detectcor. It reads the current value of Timer/Counter1. Named CAPT_INT on the screen shots in this post. This is what I’ve covered last time. This is mainly what I’ll be covering today.
The basic Idea of the software is as follows:
Every measurement takes 2ms. It takes 375us (15 times 25us) to send the pulses plus 500us – 1500us for the pulses to arrive (assuming very extreme wind situations). So 2ms gives us plenty of time to finish our measurement.
Shortly after sending the pulses we start listening and wait for the envelope detector to trigger TIMER1_CAPT interrupt. We save the current value of timer1, this is our coarse measurement of time-of-flight. We then set up interrupts to capture a rising edge of our zero-crossing detector (ZCD).
A rising edge of our ZCD triggers TIMER_CAPT interrupt. We save the current value of timer1 and set up interrupts to capture a falling edge of the ZCD.
A falling edge of our ZCD triggers TIMER_CAPT interrupt. We save the current value of timer1 and set up interrupts to capture a rising edge of the ZCD.
Repeat steps 3 and 4 until we’ve captured 8 rising and 8 falling edges. Averaging these will give us a very precise measurement of the phase shift.
After every measurement we change the direction we measure: N->S, E->W, S->N, W->E, …
We measure each direction 32 times until we calculate the actual wind speed. So one full measurement will take 4 x 32 x 2ms = 256ms. So we take about 4 measurements per second.
The screen shot above shows how a measuement proceeds: AXIS and DIRECTION are set depending on the direction to be measured. MUTE is driven high and 15 PWM pulses are sent. TMR_INT triggers after every pulse in order to count them. After a short break, TMR_INT triggers again and turns MUTE off again. Eventually, the envelope detector (ENV_DETCT) triggers CAPT_INT. Shortly afterwards, CAPT_INT is triggered 16 more times by the zero-crossing detector (ZCD).
There are 2 sets of variables to save all the measurements from the envelope and zero-crossing detector: At any point in time, one is in use by the ongoing measurements, i.e. they’re being updated. The other set represents the last set of measurements and is static. This second set can be used by software in our main loop to calculate the wind speed and direction. As I’ve said, capturing one set of measurements takes 256ms. So we also have 256ms to do all the calculations, send data (via USB or whatever), write the new measurement to the display, do some data logging or whatever else we have in mind. There is likely to be some floating-point math, square roots and tigonometric functions going to be needed to arrive at the wind speed and direction but 256ms should be pretty comfortable even for that.
This is what I’ve tried to show in the screenshot above: There is a signal named CALC which is driven high when a new set of measuements becomes available and driven low when the calculations are finished. So this signal shows you how much time the Arduino’s Atmega328 spends processing the data and writing to the display. As you can see, it’s less than 25ms so there is ample of room for more complex calculations or other tasks. We’ll definitely need some of that head room since the calculations performed so far are really just the bare minimum.
There definitely is still a lot to be improved, mainly how the raw measurements are evaluated to get the actual wind speed. But what’s more important to me at this time is that the basic idea/setup works. With no wind, my measuements fluctuate somewhere between plus/minus 0.3 meters per second without having done any calibration. It also reacts nicely when I blow a bit of air towards it.
I’ve changed the pinout many times while developing this software but I’m confident that I won’t have to change the pinout any more. So my plan is to now build version 2 of the hardware first. The entire setup will be much less complex (and prone to errors) without all the lose wires going back and forth between the different boards. Then, with the updated and hopefully final (or nearly final) hardware I’ll go ahead and finish the software.
Speaking of software: You can download the Arduino sketch from the overview page where you also find the Eagle files for both boards: http://soldernerd.com/arduino-ultrasonic-anemometer/. I’ll make it a habit to post all the download material for this project on the overview page so people don’t need to go through all the posts trying to find a certain file.
Ok, so the the analog board is finally ready and all the components have been soldered into place. Time to see if it works as expected. My test setup looked as follows: I’ve programmed an Arduino (a Mega as you can see in the background, I didn’t have a Uno at that time but it doesn’t matter for what I’m doing here) to output 15 pulses at 40kHz from one of its pins (followed by a break of a few milliseconds). That pin was connected to one of the pins of a transducer while the other transducer pin was grounded. A second transducer was placed accross from the first one in a 20cm distance. That’s the distance/size I’m planning to use in the final design as it keeps the wind meter nice and compact. One pin of that second transducer was grounded while the other one was connected to the amplifier input of the analog board. So there are only 2 transducers at this time. One constantly transmitting, the other constantly receiving. Software is also minimal. Keep it simple for now, we’re just trying out the analog circuit.
Here we have the transmitted signal in red at the bottom left, together with the amplifier input (yellow), output of the first stage (green) and output of the second stage (purple). On the positive side, the received signal (amplifier input) is quite strong, around 350mV peak-to-peak. But the amplifier is barely working. At the output of the second stage we want a signal in the range of 5V pp but we get just a bit more than 700mV. We’re using a two-stage tuned amplifier and only double the signal amplitude. That’s hopeless.
As I’ve said in part 3, the root cause for this is my poor choice for the inductor/capacitor combination. 47uH or 330nF at 40kHz only give an impedance of 12 Ohms. Even with a decent Q-factor the impedance across the LC tank will never be high enough. I’d rather use something like 1mH / 15nF or 470uH / 33nF as as Carl did. But I didn’t have a inductor like that at hand so I had to change some other components to fix it.
First I changed the bypass capacitors (C5 and C10) from 100nF to 1uF. That makes the emitter ‘more grounded’ at signal frequencies (4 ohms instead of 40 ohms if you do the math). That did help but was not enough to save the show.
I then changed the emitter resistors (R8 and R13) from 330 ohms to only 47 ohms. The logic behind this is simple: The voltage across the LC tank is too small because the impedance is too low. Voltage is current times resistance (or impedance). I can’t change the impedance because I don’t have a suitable inductor so I have to increase the current. Changing the base resistors does just that.
Now I have plenty of gain at the price of a much-higher-than-planned quiescent current. Actually, gain was even a bit too high so I put in 15 ohms for R7 and R12 to slightly reducing the gain. Power consumption is not really a concern in this prototype so we’re fine for now. But if you’re going to build your own, use a big enough inductor in the first place and you won’t have to jerk up the current just to squeeze out enough gain.
Amplifier input (yellow), output of the second stage(green) and output of the second stage (purple). Note the different scales of 200mV, 1V and 2V per division. As you can see, the gain’s fine now. We’re getting a bit more than 4 Volts of amplitude peak-to-peak which is just what we need.
You can also see how much cleaner the output is compared to the input. The yellow signal has picked up quite a bit of noise gut the purple signal looks perfectly clean. That’s the benefit we get from the narrow bandwidth of the tuned amplifier. And that’s why you don’t want to just use an op-amp.
Let’s turn to the envelope detector now. Fortunately this part worked right from the start but that doesn’t mean it can’t be improved. I’ve used a voltage divider of 1M and 47k (R14 and R15) to get a voltage of 2.2 Volts which just about compensates for the drop over the schottky diode D1. Maybe I’ll use an identical diode in my next design to get a voltage exactly one diode drop above ground.
Here we see the transmitted signal (red) together with the amplifier output (purple), the output of the diode / input of the low-pass filter (green) and the filter output (yellow). Note how the filter makes the stairs in the green signal disapear. That’s exactly its purpose.
I found the envelope to be a bit slow so I’ve changed the resistors R16 and R17 from 47k to 22k. Together with the 1nF caps (C15 and C16) that gives a -3db point of 7.2kHz. That makes the envelope quite a bit faster which means the rising edge will also be steeper. That makes it easier to precisely trigger on it, provided it is still smooth. Obviously you have to strike some balance here. Not sure if my values now are perfect but they definitely do work ok.
One problem I’ve encountered is that I get some nasty oscillations in the envelope if I turn up the gain too high (via the pot R1). Making the envelope faster has made it even worse. I’m not quite sure why that is. It’s my first time to work with a VCVS (voltage controlled voltage source) circuit such as this active filter. I might use two stages of simple op-amp buffers and RC filters in my next design. That means I’ll need an extra op amp but anyway. For now, I just have to be modest with the gain setting and everything is fine.
This screenshot shows the envelope detector in action: Transmitted signal (red), amplifier output (purple), envelope (yellow) and output of the envelope detector (green). Note that this screenshot was taken before the changed cutoff frequency of the filter. The yellow curve is very smooth but doesn’t track the purple amplifier output very well. That’s why I thought it was a bit slow.
The green signal is the output of the comparator which is also the output of our envelope detector. It will be connected to the Arduino where it will trigger an interrupt and serve as a coarse measurement of the time-of-flight.
My zero-crossing detector is extremely simple. I set the inverting input of the comparator to half the supply rail by means of R23 and R24. The 100nF cap across R24 (C21) makes sure it stays there and doesn’t swing around itself. I bias the amplifier output to the very same 2.5 volts so I really trigger exactly when the sine wave crosses zero. R22 makes sure the non-inverting input to the comparator can swing freely and the input impedance is reasonably high.
Here we see the output of the amplifier / input to the zero-crossing detector (purple) together with the zero-crossing detector output. Everything seems to work fine. As expected, the detector also triggers on very small signals and potentially noise but that should not pose a problem.
These are the same two signals watched a bit more closely. You might notice that there is quite a bit of time delay from the actual zero-crossing to where the green signal changes. This won’t be a problem as long as the delay is constant but I’m planning to use a faster comparator in my next design. This one has a propagation delay of 8us according to its data sheet. You can get others that are two orders of magnitude faster for nearly the same price such as the MCP6561R with a propagation delay of only 80ns.
No surprises here. The output of the LM35 is 10mV per degree centigrade as expected and is amplified by a factor of 4.3 by the op amp. Can’t quite remember why I chose only 4.3, I might change that to 11 by changing R25 to 10k.
This is what I would consider the heart of this wind meter. This is where the received signal is amplified and processed so the overall accuracy and reliability of the entire project really depends on it. The functionality of this board can be summarized as follows:
Amplify the received signal
Generate a digital signal when the amplitude exceeds a given threshold (envelope detector)
Generate a digital signal every time the received signal crosses zero (zero crossing detector)
Measure the temperature
This circuit runs on the +5V rail generated on the digital board. There’s no need for a negative voltage here, the +5V is all we need. The input to the amplifier (i.e. the received signal) also comes straight from the digital circuit. The 3 outputs temperature (analog), zero-crossing detector (digital) and envelope detector (digital) are all connected to the Arduino Uno. I’ll go through each of the four parts now.
Just as Carl, I have used two tuned amplifier stages. Each stage uses a NPN darlington pair built from two discrete transistors. The parallel LC tank at the collector determines the resonant frequency of 40kHz as well as the bandwidth. Check out this wiki page http://en.wikipedia.org/wiki/Common_emitter or google for ‘degenerated common emitter amplifier’ if you’re not familiar with this topology.
The main difference to Carl’s design is that it’s running from 5 volts instead of 8 which eliminates the need for an extra rail.
I’ve added a 10k resistor from the emitter of the first transistor to the emitter of the second. This is often done to to enable Q1 to turn of Q2 faster. It’s probably not necessary at our low frequency but leaving it away later is much easier than adding it.
I’ve also added an extra resistor to the emitter degeneration. There is a bypassed resistor as with Carl’s design but I’ve added another resistor in series that can be used to reduce the gain. I’ll use a zero-ohm resistor at the beginning and replace that with whatever is needed to get just the right amount of gain. Thinking of it, it would have been smarter to put the gain setting resistor in series with the bypass capacitor only. That way I could adjust the gain without affecting the biasing. But that’s something for the next version.
For simplicity, I’ve biased the input of both stages to half the supply rail or 2.5 volts. The emitter will be two diode drops lower at around 1.2 volts. That should be sufficient to get a stable quiescent current over a reasonably wide temperature range. Speaking of quiescent current: The 330 ohms emitter resistor will yield a quiescent current of around 3.5mA.
I’ve made a rookie error on the LC tank. Carl had used a 470uH coil with a 33nF capacitor which gives just the right resonant frequency. He reports the DC resistance of his coil to be around 10 ohms which gives a Q-factor of around 10 – not great but sufficient. I didn’t have a 470uH inductor around but there were a few 47uH ones from a previous project. They had a DC resistance of slightly below 1 ohm so the Q-factor would also be just above 10. So I decided to use them, together with a 330nF cap to get the right frequency. Onetenth of the inductance, one tenth of the resistance, ten times the capacity. Same frequency, same Q, just perfect I thought. And yes, the resistance across the LC tank does have the same shape. But it only has one tenth of the value. So I got very little gain out of the amplifier when I first turned it on and had to correct this later. Lesson learned.
I’ve changed little for the envelope detector. It still uses a two-pole active low-pass filter. The values have changed somewhat but the time constants and cuttoff frequencies remain similar.
I’ve used a 1M plus 47k resistor at the input before the diode. At a 5V supply this yields a voltage of about 0.2 volts which just about compensates for the voltage drop over the schottky diode.
I’ve added a 10k pot to adjust the gain of the active filter. So there are two parameters you can adjust without grabbing your soldering iron: filter gain and threshold voltage.
I have included a (positive) feedback resistor across the comparator just in case I need some extra hysteris but don’t plan to use one unless tests show it’s really needed. I found that most of the time the comparator itself has enough hysteris of its own. But that remains to be seen, there is space on the board in case we need it.
About the components: The op-amp is a Microchip MCP6061, a precision op-amp. We don’t need this here but I happened to have some of them from a previous project. The comparator is a Microchip MCP6541. A bit slow (up to 8us of propagation delay) but as with the op-amp I already had some at hand.
I’ve simplified the zero-crossing detector somewhat. I want it to trigger every time the received signal crosses zero. When the signal is small it will most likely trigger on random noise but I’m not worried about that. I’m planning to average a number (say, 16) zero-crossings for each measurement. Exactly half of them shall be positive-to-negative and negative-to-positive. This will help to cancel some of the errors I hope. My plan is to set up my interrupts on the Arduino to trigger on the envelope detector first. Only after that I will enable the zero-crossing interrupts. Once I have captured all of my 16 (or whatever the number happens to be) zero-crossings, I’ll disable both time of interrupts until the next measurement. So this zero-crossing detector may random-trigger as much as it likes during all other times.
So I bias the signal at half the supply rail at 2.5 volts. The threshold is at 2.5 volts as well so I can even use the same resistive voltage divider.
As with the other comparator, I’ve included a feedback resistor across it but don’t plan to actually use it.
At the heart of the temperature measurement is a LM35 temperature sensor. It outputs a voltage of 10mV per degree centigrade. So there’s no way you can measure any temperatur below zero. That’s of course a problem depending on where you live but I see this version as a prototype and for testing it will do just fine.
There is also an op-amp that lets you scale up the rather small voltage of the LM35 to the 0…5V measurement range of the Arduino ADCs.
Here are the links to the board layout and the schematic as PDFs. As I’ve mentioned before I’m happy to share the Eagle files if anyone’s interested but at the moment I can’t upload them here. Seems you have to go premium to upload zip files and the like.