The input and output of a linear time-invariant system satisfy a difference equation of the form, Assume that an FFT program is available for computing the DFT of any finite-length sequence of length N = 2^v. Describe a procedure that utilizes the available FFT program to compute H(e^{j(2?/512) k}) for k = 0, 1, ? , 511, where H(z) is the system function of the system.

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м акуп - к] + bxln - k]. Уn] 3 k=1 k=0