Determine the expression of the digital output Y(2) in the following block diagram: G,(s) U(s) T Y(z) G2(s) H(s) Select one: G2(2) U(2) [G(2)-1] 1+(G,H)(2) G2(2) U(2) [G(2)–1] 1-G2(2) H(2) O a. Y(z) = O b. Y(z) = O c. Y(z) = G2(2) U(2) [G(2)-1] %3D 1+G2(2) H(2) O d. Y(z) = G(2) U(2) [G(2)–1] 1-(G,H)(2)

Given the two sequences x[n] = [2, 3, 4] and h[n] = [1, 0,2], a) Find the circular convolution of x[n] and h[n]. Show your work. b) Explain how N-point DFT and IDFT can be used to find the linear convolution of x[n] and h[n]. You don't need to do the math. Just explain.

(c) A state diagram for a sequence detector is given in Fig. Q1(c). State So is the initial state. What is the shortest sequence for which the detector's output will be 1? What type of state machine is this detector? Explain with justifications 0/0 1/0 0/0 S S₂ 0/0 1/0 1/0 1/1 S₂ SA Figure Q1(c) 0/0 1/0 0/0

Please answer and show complete solutions. Please ignore the part where we will simulate through mathlab. This is under feedback and control system