Joe Gwinn wrote:
It occurs to me that there is a possible alternative to the ZCD-chain approach typical in DMTDs, if one is willing to provide two mixers and two ADCs per channel, with a 90 degree phase offset between LO signals provided to the mixers of a channel. The output of the four ADCs will be a pair of I+Q signals, one pair per DMTD channel.

The key observation is that if one has two signals, one being a time delayed replica of the other, if one multiplies one signal by the complex complement of the other signal, the result is Exp[j(phase difference)]. This is true whatever the waveform of the signal, so long as the only difference in signals is a delay. The mathematical argument function of this exponential is the desired phase.

In practice, one will sample far faster than 1 Hz, say 1 MHz, and will heavily average the resulting stream of products.

Now I have not gone through the math to estimate performance compared to the traditional ZCD approach, but the complex multiply and average approach should be quite robust against noise, and is easily implemented in a DSP or FPGA.

The time-difference between the two sampling points could be minimized in such an approach as the phase could be shifted arbitrarilly in the post-processing such that the effective phase difference between the two chains reduces to near zero and hence the correlation between the channels for the transfer oscillator would be better in phase and cancel the transfer oscillator out better.

The postprocessing would then slowly tune the I/Q phase and keep a phase adjustment track such that post-correlation could turn it back for proper phase-trace.

An alternative approach is to use the Costas tracking loop as Bruce suggested.

Regardless this first stage of digital processing can be done in a FPGA frontend and bring the resulting signal bandwidth into very reasnoble rates, just as for a GPS receiver.

Cheers,
Magnus

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