Assignment 4 soultion

Assignment 4 soultion - School of Engineering Science Simon...

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

View Full Document Right Arrow Icon
School of Engineering Science Simon Fraser University ENSC-380, Spring 2009 Solution of Assignment 4 Solution of Problem 1. This can be done using two methods: (1) do the convolution first and then take the CTFT of the result, or (2) compute the CTFT of each term seperately to avoid the convolution and then multiply the obtained CTFTs. You could try the first approach as an exercise. Here is the solution obtained using the second method: 5 cos( t ) * δ ( t + 1) ←→ F ( 5 cos( t ) ) F ( δ ( t + 1) ) (1) ←→ F ( 5 cos( t ) ) F ( δ ( t ) ) e j 2 πf time-shifting (2) ←→ 5 2 £ δ ( f - 1 2 π ) + δ ( f + 1 2 π ) / e j 2 πf using FT table (3) (4) Solution of Problem 2. As explained in page 319 of the textbook, if the time-domain signal is real-valued, its CTFT has the property that the behavior for the negative frequencies if the complex conjugate of the behavior for positive frequencies. Now let x ( t ) be a real-valued signal. The magnitude of X ( f ) is | X ( f ) | = X ( f ) X
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/12/2011 for the course ENSC 380 taught by Professor Atousa during the Spring '09 term at Simon Fraser.

Page1 / 2

Assignment 4 soultion - School of Engineering Science Simon...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online