EE112 HW 4 (1)

pdf

School

San Jose State University *

*We aren’t endorsed by this school

Course

112

Subject

Electrical Engineering

Date

May 8, 2024

Type

pdf

Pages

10

Report

Uploaded by UltraBookLeopard16

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.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
b. c. 4. a. % Given parameters a = 0.95 ; w_hat = - pi : 0.01 : pi ; % Calculate |V(e^(jw_hat))|^2 V_mag_squared = 1 ./ abs ( 1 - a * exp ( -1 j * w_hat)).^ 2 ; % Plotting
plot(w_hat, V_mag_squared); xlabel( 'Frequency (\omega)' ); ylabel( '|V(e^{j\omega^})|^2' ); title( '|V(e^{j\omega^})|^2 for -\pi < \omega^ \leq \pi' ); grid on; b. The response is a low pass filter c. % Given parameters a = 0.95 ; w_hat = - pi : 0.01 : pi ; % Calculate W(e^(jw_hat)) W = zeros ( size (w_hat)); for n = 0 : 20 w_n = a * n * cos ( 0.3 * pi * n); W = W + w_n * exp ( -1 j * w_hat * n); end % Calculate |W(e^(jw_hat))|^2 W_mag_squared = abs (W).^ 2 ;
% Plotting plot(w_hat, W_mag_squared); xlabel( 'Frequency (\omega)' ); ylabel( '|W(e^{j\omega^})|^2' ); title( '|W(e^{j\omega^})|^2 for -\pi < \omega^ \leq \pi' ); grid on; d. The response is a bandwidth filter 5. a.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
b. w = linspace ( 0 , 2 * pi , 1000 ); % Frequency vector from 0 to 2*pi H = 1. /( 1 + 0.81 * exp ( -1 j * 2 *w)); % Frequency response % Plot magnitude response figure; plot(w, abs (H)); xlabel( 'Frequency (radians/sample)' ); ylabel( '|H(e^{j\omega})|' ); title( 'Magnitude Response' ); grid on; c. % Calculate the phase response phase_H = angle (H);
% Unwrap the phase unwrapped_phase_H = unwrap (phase_H); % Plot wrapped and unwrapped phase responses figure; subplot( 2 , 1 , 1 ); plot(w, phase_H); xlabel( 'Frequency (radians/sample)' ); ylabel( 'Wrapped Phase (radians)' ); title( 'Wrapped Phase Response' ); grid on; subplot( 2 , 1 , 2 ); plot(w, unwrapped_phase_H); xlabel( 'Frequency (radians/sample)' ); ylabel( 'Unwrapped Phase (radians)' ); title( 'Unwrapped Phase Response' ); grid on; sgtitle( 'Wrapped and Unwrapped Phase Responses' ); d.
n = 0 : 50 ; % Define the range of n x = 2 * cos ( 0.5 * pi *n + deg2rad( 60 )); % Input signal b = 1.81 ; %value of b % Initialize y with zeros y = zeros ( size (n)); % Calculate y[n] using the difference equation for i = 3 : length (n) y( i ) = b * x( i ) - 0.81 * y( i -2 ); end e. % Define the system parameters b = sqrt ( 1 + 0.81 ^ 2 ); % Define the input signal x[n] n = 0 : 99 ; x = 2 * cos ( 0.5 * pi * n + deg2rad( 60 )); % Compute the steady-state response using the filter function y_ss = filter(b, [ 1 , 0 , -0.81 ], x); % Plot the steady-state response stem(n, y_ss); xlabel( 'n' ); ylabel( 'y[n]' ); title( 'Steady-State Response y[n] to x[n]' ); grid on; % Analytically calculate the response y[n] to the input x[n] y = b * x - 0.81 * [ 0 , 0 , y_ss( 1 :end -2 )]; % Compare y and y_ss to verify the result
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help

Related Documents

4420_Lab3.pdf
ELEX_4420_-_Lab_04_-_Single-Phase_FW_Rectifiers.docx
ELEX_4420_-_Lab_08_-_Switch_Mode_Power_Supply_SMPS.pdf
Unit 9 Assignment.pdf
Wireless - Mobile - Multimedia Quiz.pdf
Lab 04 - Ohm's Law and Resistance (1).docx
Fall22 Kirchhoffs Rules Lab Online SOLUTIONS EDITED 8.16.22.docx
Ross Landron Suicidio asistido medicamente final.docx
ITL 518 Unpack NGSS Standard Discussion 2 (1) (1).docx
INTE4010-2.1.docx
edited Phys2 Lab6.pdf
Copy of 5CL Pre-Lab 5 Submission Template - F23v2.pdf
Related Questions
85[1+0.4432/1-.85(sqrt(48.2625/V))]=100 Solve for V
5a. What is E2=? 5b. What is E3=? 5c. What is the potential difference of b relative to point a (V_ba)?
Find every thing on the chart and show work for each step
Please solved it in 30 min q
2) What is the area under the signal x(t) = 4sinc²(3t)?
Peak input voltage =(from graph) ?Peak output voltage =  (from graph)?DC voltage across RL = ?ripple factor=?
How do you do the maths?
Thank you for your help so far. The original question from my homework is the 1st attached image, but I just want to know 2 things. 1) How to calculate iD av and iD max? And if you're feeling extra nice; 2) What are iD av and iD max called on a datasheet? I'm looking at the data sheet and I dont see any currents related to "D". I attached a 2nd picture of the datasheet I'm looking at. If the 2nd question is too much for 1 solution on this site, please just answer my 1st question and I'll follow up with my 2nd. I don't want to type this whole question again, lol. Thanks again!
Please only typing format solve please
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Text book image
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Text book image
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Text book image
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Text book image
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
SEE MORE TEXTBOOKS
Related Questions
Recommended textbooks for you
Text book image
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Text book image
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Text book image
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Text book image
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Text book image
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,
SEE MORE TEXTBOOKS