Hi,
Nice problem you got there. In any case, have you considered performing
matched filtering (thus maximizing SNR), outputting more than one sample
per symbol (in fact, without decimation at all), then equalize (so that the
signal looks as if it was sent and received with a squared-root Nyquist
pulse) and after all that use a standard clock recovery block? Since you
know the shaping pulse, and as long as it does not go to zero over the
range of frequencies of interest, you should be able to transform it into a
Nyquist pulse. I may be wrong, but in any case Viterbi decoding for symbols
will be difficult, so this may be worth trying.
best
Federico

2017-06-15 9:57 GMT-03:00 Phil Frost <[email protected]>:

> I am working on a receiver for the amateur radio mode PSK31[1]. It's BPSK
> where the pulses are a raised cosine (impulse, not frequency domain) twice
> the symbol duration[2], no error correction, at 31.25 baud. The transmitted
> signal has no ISI, but after matched filtering it does:
>
> [image: 0SDEq.png]
>
> I had hoped to do matched filtering and compensate ISI with a Viterbi
> equalizer, but I'm unsure how to do clock recovery.
>
> I hoped to use the polyphase clock recovery block, but it seems this won't
> work since the derivative of the signal may not be zero at the ideal
> sampling points. Is that an accurate assessment?
>
> [image: 2017-06-15-083544_393x230_scrot.png]
>
> Perhaps the clock recovery MM block? The zero crossings aren't exactly in
> the middle of the ideal sampling points, but the error is probably
> negligible. I can't get it to work: I think it outputs the correct bits,
> but exactly 1 or -1, even though I should be getting +/- 0.5, 0.75, or 1
> depending on the adjacent bits. I'm using the default settings. Is that the
> intended behavior?
>
> [image: 2017-06-15-084108_1038x201_scrot.png]
> [image: 2017-06-15-084340_475x253_scrot.png]
>
> Finally, any other algorithms I should be considering?
>
>   [1]: http://bipt106.bi.ehu.es/psk31.html
>   [2]: https://ham.stackexchange.com/a/7744/218
>
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