EE112 HW 4 (1)

Rohan Pradhan EE 112 Section 2 19 March 2024 Homework #4 1. Code: % Define the signal x3[n] n = 0 : 20 ; x3 = 7 * (heaviside(n - 1 ) - heaviside(n - 9 )); % Multiply x3[n] by 3 to get x[n] x = 3 * x3; % Plot the signal x[n] subplot( 3 , 1 , 1 ); stem(n, x); xlabel( 'n' ); ylabel( 'Amplitude' ); title( 'Signal x[n]' ); % Compute the frequency spectrum of x[n] [H, w] = freqz(x); % Plot the magnitude of the frequency spectrum subplot( 3 , 1 , 2 ); plot(w, abs (H)); xlabel( 'Frequency (radians/sample)' ); ylabel( 'Magnitude' ); title( 'Magnitude Spectrum' ); % Plot the phase of the frequency spectrum subplot( 3 , 1 , 3 ); plot(w, angle (H)); xlabel( 'Frequency (radians/sample)' ); ylabel( 'Phase (radians)' );

title( 'Phase Spectrum' ); Plots: There are phase jumps in the plot sue to the discontinuous portion of x[n] 2. a.

b. 3. a.