Hey guys,
Bit of a mathy question here. I am looking at implementing a filter to process some mixed frequency data with the end result being a decomposition of the data using discreet Fourier transform into the frequency components. When designing a filter, the phase response of the system has to be considered in case it is non-linear (which is most likely is) which causes phase distortion in the non linear regions of the phase response. Now, from my understanding, a non-linear phase response will simply shift different frequencies by different amounts without changing the fundamental frequency components. Does that mean that a Fourier transform of a signal that passed through a linear-phase response would be the same as if it were passed through a non-linear phase response? In other words, if I just want to perform a Fourier analysis on the filtered waveform, do I have to worry about phase distortion at all?