The sliding-tape method is conceptually quite valuable in understanding the convolution mechanism. With it, we can verify that DT convolution of Eq XXXXXXXXXXcan be performed from an array using the...

The sliding-tape method is conceptually quite valuable in understanding the convolution mechanism. With it, we can verify that DT convolution of Eq. (5.23) can be performed from an array using the sets x[0], x[1], x[2], ... and h[0], h[1], h[2], ..., as depicted in Fig. P5.5-24. The (i, j)th element (element in the ith row and jth column) is given by x[i]h[j]. We add the elements of the array along diagonals to produce y[n] = x[n] ∗ h[n]. For example, if we sum the elements corresponding to the first

diagonal of the array, we obtain y[0]. Similarly, if we sum along the second diagonal, we obtain y[1], and so on. Draw the array for the signals x[n] and h[n] in Ex. 5.15, and find x[n] ∗ h[n].