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Problems 203
determine the impulse response h(n) analytically. Verify your answer using DFT as a
computation tool. Again choose the length N appropriately.
P5.12 Let X(k) denote the N-point DFT of an N-point sequence x(n). The DFT X(k) itself is an
N-point sequence.
1. If the DFT of X(k) iscomputed to obtain another N-point sequence x 1(n), show that
x 1(n) =Nx((−n)) N , 0 ≤ n ≤ N − 1
2. Using this property, design a MATLAB function to implement an N-point circular
folding operation x 2(n) =x 1((−n)) N . The format should be
x2 = circfold(x1,N)
% Circular folding using DFT
% x2 = circfold(x1,N)
% x2 = circularly folded output sequence
% x1 = input sequence of length