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The realization of FIR filter by frequency sampling realization can be viewed as cascade of how many filters?

(a) Two

(b) Three

(c) Four

(d) None of the mentioned

The question was asked in an internship interview.

This question is from Structures for FIR Systems in portion Discrete Time Systems Implementation of Digital Signal Processing

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Right option is (a) Two

For explanation: In frequency sampling realization, the system function H(z) is characterized by the set of frequency samples {H(k+ α)} instead of {h(n)}. We view this FIR filter realization as a cascade of two filters. One is an all-zero or a comb filter and the other consists of parallel bank of single pole filters with resonant frequencies.

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