Question: Consider the system shown in figure. If the input to the system, x[n], is a 32-point sequence in the interval 0 ? n ? 31,

Consider the system shown in figure. If the input to the system, x[n], is a 32-point sequence in the interval 0 ? n ? 31, the output y[n] at n = 32 is equal to X(e^?j?) evaluated at a specific frequency ?_k. What is ?_k for the coefficients shown in Figure?

y[n] x[n] 147 2cos (32) -1

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