I'm in the process of designing the analog front end for a RF receiver. The system will use BPSK modulation. I was wondering what effect non-linear phase filters (such as Chebyshev and Butterworth) would have on my system, and front ends in general.
I know that having a variable group delay in the band of interest will distort signals due to a nonlinear phase shift across frequencies (nonlinear in the sense that phase shift is not proportional to frequency). That being said, I also know that filters, such as Chebyshev filters, are commonly used in communication systems. Thus my question is how ordinary communications systems are able to communicate at all with so much variation in group delay? Do receivers perform group delay correction digitally? Note that I'm strictly speaking about analog filters here, not digital FIR filters (which I know can have linear phase).
As an example, I might design a receiver that has a narrow Chebyshev bandpass filter to select our band of interest. But within this band, the phase of the filter undergoes some change that does not linearly follow frequency, thus introducing non-flat group delay. Why doesn't this (or does it?) cause problems in standard communication systems?