14 Consider the sequences x1(n) = {0, 1, 2, 3, 4), x2(11) = {0, 1, 0, 0, 0), s(n) = {1, 0, 0.0,0} %3D and their five-point DFTS. (a) Determine a sequence y(n) so that Y (k) = (b) Is there a sequence x3(n) such that S(k) = X1(k)X3(k)?

Given the Z-transform 3z2-z X(z) z2+z-6 a) What are the 3 possible regions of convergence for this X(z)? b) What are the poles and zeros of X(z)? Sketch the pole-zero plot c) Assuming causal ROC in part a), invert X(z) using the method of partial-fraction expansion

Simplify the following expression into sum of products using Karnaugh map F(A,B,C,D) =   ∑(1,3,4,5,6,7,9,12,13)

4.5-4. Find the z-transform of the following functions. The results of Problem 4.5-3 -0.6Ts (a) E(s) = = (c) E(s) = (e) E(s) - 68-0.3Ts (s + 1)(s + 2)(s + 3) s² + 25 + 28-1.17s s(s + 2)² s²e-0.3Ts + 2s + 3 s(s+ 2)²(s + 4) (b) E(s) = (d) E(s) (f) E(s) = = 48 s(s+ 2)² (s + 2)²-0.27s s²(s + 1)² -0.75Ts (2s + 7)e (s² + 2s + 5)(s + 3)