Question

4.27) For the following system: 1/4 x(n) a. Find A, b, g, d. b. Find H(z), and the pole/zero plot. c. Sketch H()

Answer 1

rite the emation at summug ion at S^m 4+ ViCo 5 -A

Mi M) -t F1-A-1 B +Γ。 n@= c てイ1/4 ス+)- 0-2 210 0.2 CewX -) 1 б.cosso) + 4.75% san.w

MATLAB code is given below to plot the magnitude response.

code:

clc;
close all;
clear all;

% define range of w from -pi to pi
w = -pi:0.01:pi;

% define H(w)
H = (2*exp(1j*w)+4.75)./(exp(2j*w)-0.2);

% Now plot the magnitude spectrum
figure;
plot(w/pi,abs(H),'linewidth',2);grid on;xlabel('w/\pi');ylabel('Magnitude');title('|H(w)|');

Response:

ー6 -1 0.8 0.6 -0.4 0.2 0 0.2 0.4 0.6 0.8 1 W/T