butterworth and chebyshev filter
The phase linearity of the Butterworth is better than that of the Chebyshev. In other words, the group delay (derivative of phase with respect to frequency) is more constant with respect to frequency. This means that the waveform distortion of the Butterworth is lower. Of course, with a single input frequency, there is no waveform dostortion in either filter.
Regards,
Kral
Added after 4 minutes:
Another point to consider; the Butterworth filter is completely defined mathematically by 2 parameters: Cutoff frequency and number of poles. The Chebyshev filter has a third parameter: Passband Ripple.
Regards,
Kral