Larry Molitor wrote:

The DSP filters and DSP modems following the IF
filters cannot re-constitute the "distorted" signal so

Do not, rather than cannot.

Firstly, the Finite Impulse Response (FIR) filters used need not, and are almost certainly constructed so that they do not, introduce any group delay distortion of their own. That means that you can still use narrow DSP filters, even if you have to compromise the roofing filter.

Moreover, it has been standard practice for at least a couple of decades, to use adaptive versions of such filters mitigate group delay distortion in telephone modems. In that context, they generally require synchonrous transmission, because the standard adaptive equalizers only fully cancel inter-symbol interference at the actual sampling points. Although synchronous operation does make the adaptive process easier, I'm not sure that the longer filters that can be implemented in modern fast DSPs, combined with the relatively fixed distortion the the receive filters, cannot compensate for non-synchronous signals.


--
David Woolley
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