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Which of the following is the correct expression for h(n) in terms of H(k+α)?(a) \(\frac{1}{M} \sum_{k=0}^{M-1}H(k+α)e^{j2π(k+α)n/M}\); n=0,1,2…M-1(b) \(\sum_{k=0}^{M-1}H(k+α)e^{j2π(k+α)n/M}\); n=0,1,2…M-1(c) \(\frac{1}{M} \sum_{k=0}^{M+1}H(k+α)e^{j2π(k+α)n/M}\); n=0,1,2…M+1(d) \(\sum_{k=0}^{M+1}H(k+α)e^{j2π(k+α)n/M}\); n=0,1,2…M+1I have been asked this question at a job interview.This is a very interesting question from Design of Linear Phase FIR Filters by Frequency Sampling Method in division Digital Filters Design of Digital Signal Processing |
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Answer» Correct CHOICE is (a) \(\FRAC{1}{M} \sum_{k=0}^{M-1}H(k+α)E^{j2π(k+α)n/M}\); n=0,1,2…M-1 |
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