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Design a linear phase FIR filter to determine its coefficients of length M=15 which has a symmetric unit sample response and a frequency response that

Design a linear phase FIR filter to determine its coefficients of length M=15 which has a symmetric unit sample response and a frequency response that satisfies the conditions:

Hr(2*3.14/15)={1 k=0,1,2,3

{0.4 k=4

{0 k=5,6,7

this is a question from chapter 10, problem 10.7 of book "digital signal processing by proakis 4th edition" of which i need a solution manual.

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