# system #1 system #2 x(n) K Figure 1: The block diagram of the composite system: Problem 2 (e) Derive

system #1 system #2 x(n) K Figure 1: The block diagram of the composite system: Problem 2 (e) Derive the overall frequency response H(e), and the corresponding difference equation. (d) Plot the magnitude and phase responses. What is the kind of the filter? (e) Consider the signal z(n) = sin(a/2n + /3). Write an expression of the corresponding steady state out put.