{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# hw8 - ECE220 Signals and Information Spring 2008 Homework 8...

This preview shows pages 1–2. Sign up to view the full content.

ECE220 Signals and Information Spring 2008 Homework 8: Due Monday, April 21st, at 10:08pm Drop your homework in the collection box marked ”ECE220 Spring 2008, homework” , located on the second floor of Phillips 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 20-66 and Chapter 12 in the textbook. Problem 1 A periodic signal x ( t ) with a period T s = 10 - 3 seconds is input to a bandpass filter with the frequency reponse H ( ) = 1 for 3000 π < | ω | < 5000 π . (a) The Fourier series for x ( t ) has coefficients a k = braceleftbigg 10 k = 0 2 j k k negationslash = 0 Find the output y ( t ). (b) Now assume that x ( t ) is bandlimited with X ( ) = 0 for | ω | > 3000 π . Suppose that x ( t ) is modulated by cos(4500 πt ) and next bandpass filtered with H ( ). Make a plot of the Fourier transform of Y ( ). Problem 2 Consider the following sampling and reconstruction system: x ( t ) −→ p ( t ) x s ( t ) −→ LTI system H r ( ) x r ( t ) −→ (a) Plot the Fourier transform X (

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

hw8 - ECE220 Signals and Information Spring 2008 Homework 8...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online