Question: Suppose that you time-reverse and delay a real-valued 32-point sequence x [n] to obtain x 1 [n] = x[32 ? n]. If x 1 [n]

Suppose that you time-reverse and delay a real-valued 32-point sequence x [n] to obtain x₁[n] = x[32 ? n]. If x₁[n] is used as the input for the system in figure, find an expression for y[32] in terms of X(e ^j?), the discrete-time Fourier transform of the original sequence x[n]. ?

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

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