# hw1 - ECE220 Signals and Information Spring 2008 Homework 1...

This preview shows pages 1–3. Sign up to view the full content.

ECE220 Signals and Information Spring 2008 Homework 1: Due Monday, February 4, 10:00am Drop your homework in the collection box marked ”ECE220 Spring 2008, homeworks” which is located at the south entrance to 219 Phillips, Print your name, NetId, and lab section in the top right corner on all pages. NOTE: This homework is based on lectures 1-5. Problem 1 Find the cyclic frequency, radian frequency, amplitude, phase shift and time shift of the following signals: 1. x ( t ) = 4 . 8 cos(876 πt + π 128 ) 2. x ( t ) = 0 . 25 sin(20 πt + π 3 ) 3. x ( t ) = (1 - j)(1 + j)(1 - 2 cos 2 (4096 πt )) where j = - 1 Problem 2 Let x ( t ) = sin(4 πt ). Plot 1. y ( t ) = x ( t - 1 8 ) 2. z ( t ) = 2 | x ( t + 1 16 ) | Remember to label axis. Problem 3 Express the following number in the form Ae j θ : 1. e j 2 5 π + e j 4 5 π 2. ( 15 - j) 2 3. I m (50 cos(2 π 100 t ) for t [0 , 2 π ]

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4. (2 + j) / (2 - j) Some calculations may need a calculator. You have to show all intermediate steps in your
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

hw1 - ECE220 Signals and Information Spring 2008 Homework 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online