(a) For each of the four types of causal linear phase FIR filers discussed in Section 5.7.3, determine whether the associated symmetry imposes any constrain on the frequency response at ω = 0 and/or ω = π. 

(b) For each of the following types of desired filter, indicate which of the four FIR filter types would be useful to consider in approximating the desired filter: 

Lowpass

Bandpass

Highpass

 Differentiator