Capturing repetitive waveforms at 1 million samples per second using PWM and a comparator.
Download AVR Studio Source wfcao 030326 .asm
The impetus for developing this technique came from my own need to capture repetitive waveforms using the least expensive and lowest part-count means possible. I wanted to be able to view the waveforms on either a liquid crystal display dedicated to the purpose or upload the waveform to a computer to manipulation on a spreadsheet.
The approaches using on-chip A-to-D converters on AVR, PIC, and Cypress controllers reached sample rates of up to about 60 kHz. Not really very useful for the sort of thing I was thinking about using this for: encoded data, radio control signals, A-to-D converter waveforms, checking the dynamic range of amplifiers and capturing audio waveforms for filtering and power calculations. I realized that the comparators in AVR devices were pretty fast with a response time of several hundred nanoseconds, and that the PWM (pulse width modulation) circuit could be made fairly responsive. If there was just some way to combine these to sample analog values quickly…
Eventually it became apparent that repetitive sampling was the only way to get high enough voltage and temporal sampling resolution using these on-chip components. Rather trying to sample and digitize the waveform as is comes in, this method finds out a little bit about the waveform using the relatively high speed comparator every time the waveform is repeated, building up a more and more detailed picture with each repetition by changing the relatively low speed PWM voltage each time.
It's all in the timing. Firmware timing loops set the interval between
samples in a burst of waveform samplings that starts with a trigger signal.
The Green dots represent voltage levels of the sampled signal at the time of sampling.
Capture time = 100 x [sample interval] x 64 (+ 64 X ([ trigger latency]) + 68 ms ,
where is ” trigger latency” is the average time the controller waits for the trigger edge after the last sample, and the 68 milliseconds comes from 1 millisecond settling time of the PWM circuit after each step, plus 5 milliseconds for initial settling.
When capturing waveforms with long periods, the total time needed to capture the waveform is dominated by the time it takes the waveform to make the requisite number of repetitions. For shorter periods, the total time is dominated by the settling times for the PWM. For example, for the example design to capture a waveform with 64 level resolution over a 100 microsecond interval, sampling at 1 microsecond intervals, it takes a little over 72 milliseconds. To capture a 1 second waveform at the same resolution, it takes a little over a minute.
The preceding suggests that the higher the sampling rate, the greater the possible reduction in sampling time by speeding up the DAC. A resistor network connected to some port pins could suffice for low resolution (6 bit) waveform capture. An integrated circuit DAC would probably be much better for higher resolution measurements.
The quality of the trigger signal is very important. The trigger signal must consistently appear at the same time with respect to the captured signal otherwise sever distortion will result . This means that a noisy trigger signal directly derived from the incoming waveform will give poor results . You’ll get the best results with a digital trigger signal taken directly from the source of the signal if such a trigger source is available.
Unsynchronized signals, such as noise will not be represented accurately and be underrepresented in the captured waveform. This quality, which results from synchronous sampling, is sometimes a good thing in that it can effectively pull a signal out of the noise, an important property in applications such as ultra wideband and spread spectrum signal decoding.
Another aspect of sampled data systems, it susceptibility to aliasing. Aliasing is a phenomenon in which a signal appears to occur at a frequency other than that at which it actually occurs. For example, when a 250 kHz square wave is views with a 1 microsecond sampling interval it shows up as properly as two high samples followed by two low samples, but when captured at a 100 microsecond sampling interval, it appears as 625 Hz signal, or 1/400 the actual frequency. The way to prevent aliasing is to insert an analog filter in the signal path before the sampling point, in this case the comparator’s input.
In the example circuit discussed here, the AT90S2313 samples the signal at 1 megasample per second. The on-chip comparator has a propagation delay of 500ns to 700 ns, providing inherent filtering for components of signals above about 800 kHz, thus restricting the range of frequencies that can be aliased from above the sampling rate down into those below the sampling rate. To reduce aliasing of signal components lower in frequency than the sampling rate, an additional external would need to be used.
For more detail: Minimum Mass Waveform Capture using AVR microcontroller