Let X (e) denote the Fourier transform of the sequence x[n] = (0.5) u[n]. Let y[n] denote a finite-duration sequence of

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Let X E Denote The Fourier Transform Of The Sequence X N 0 5 U N Let Y N Denote A Finite Duration Sequence Of 1 (34.31 KiB) Viewed 24 times

Let X (e) denote the Fourier transform of the sequence x[n] = (0.5) u[n]. Let y[n] denote a finite-duration sequence of length 10; i.e., y[n] = 0, n < 0, and y[n] = 0, n ≥ 10. The 10-point DFT of y[n], denoted by Y[k], corresponds to 10 equally spaced samples of X(e³w); i.e., Y[k] = X(ej2nk/10). Determine y[n]. As your answer, provide the value of y[n] for n=3. Provide this value as a number with FOUR decimal digits of accuracy, i.e., 0.1234. Hint: You can use MATLAB to sample the DFT of Y(e) directly and use the ifft() in MATLAB to determine values of y[n].