Let k= -00 XI(z) = xi[O] + xi[1]z-I + + xi[NJ]z-N', X2(z) = x2[0] + x2[l]z-I + +

Chapter 10, Problem 10.57

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Let k= -00 XI(z) = xi[O] + xi[1]z-I + + xi[NJ]z-N', X2(z) = x2[0] + x2[l]z-I + + x2[N2]z-N2 Define and let M f(z) = L, y[k]z-k. k=O (a) Express Min terms of N1 and N2. (b) Use polynomial multiplication to determine y[O], y[l], and y[2]. (c) Use polynomial multiplication to show that, for 0 :::; k :::; M, y[k] = L, XI [m]x2[k- m].

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