Question

In a practical implementation of the frequency sampling realization, quantization effects preclude a perfect cancellation of the poles and zeros.

(a) True

(b) False

I had been asked this question during an internship interview.

My doubt stems from Design of Linear Phase FIR Filters by Frequency Sampling Method topic in division Digital Filters Design of Digital Signal Processing

Answer 1

The correct option is (a) True

Easiest explanation: In the ideal situation, the zeros cancel the poles and, consequently, the actual zeros of the H(z) are determined by the selection of the frequency samples H(k+α). In a practical implementation of the frequency sampling realization, however, quantization effects preclude a perfect cancellation of the poles and zeros.