Question

The linear equations for determining {h(n)} from {H(k+α)} are not simplified.

(a) True

(b) False

The question was posed to me by my college director while I was bunking the class.

My question comes from Design of Linear Phase FIR Filters by Frequency Sampling Method in chapter Digital Filters Design of Digital Signal Processing

Answer 1

The correct option is (b) False

To explain I would say: The symmetry condition, along with the symmetry conditions for {h(n)}, can be used to reduce the frequency specifications from M points to (M+1)/2 points for M odd and M/2 for M even. Thus the linear equations for determining {h(n)} from {H(k+α)} are considerably simplified.