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If the filter has symmetric unit sample response with M odd, then what is the value of Q(ω)?(a) cos(ω/2)(b) sin(ω/2)(c) 1(d) sinωThe question was asked at a job interview.This interesting question is from Design of Optimum Equi Ripple Linear Phase FIR Filters topic in chapter Digital Filters Design of Digital Signal Processing

Answer»

Correct answer is (c) 1

For explanation: If the filter has a symmetric unit SAMPLE response, then we KNOW that

H(n)=h(M-1-n)

and for M odd in this case, Q(ω)=1.



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