Consider two sequences x[n] and h[n], and let y[n] denote their linear convolution, y[n] = x[n] *h[n]. Assume that x[n] is zero outside the interval 21 n 31, and h[n] is zero outside the interval 18 n 31. (a) The signal y[n] will be zero outside of an interval N n N. Determine the values of N and N. (b) We compute the 32-point DFTs of and x [n] = h [n]: = 0, (x[n], 0, (h[n], n = 0, 1,..., 20 n = 21, 22, ..., 31 n = 0, 1, ..., 17 18, 19, 31 n= ") (i.e., the zero samples at the beginning of each sequence are included). Then, we form the product Y[k] = X[k]H[k]. If we define y [n] to be the 32-point inverse DFT of Y[k], how is y [n] related to the linear convolution y[n]? Write an equation expressing y [n] in terms of y[n] for 0 n 31. (c) Suppose that you are free to choose the DFT length N in part (b) so that the sequences are also zero-padded at their ends. What is the minimum value of N so that y [n] = y[n] for 0 n N - 1?