{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ece 313 hw 7

# ece 313 hw 7 - ECE 313 Fall 2010 Homework 7 –...

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: ECE 313 Fall 2010 Homework 7 – Due Thursday, October 28 (All book problems are from Chapter 6  copies of the problems from the book are attached.) 1. Problem 18, part a, p. 194. (Hint: Use a double ­integrated version of the equation.) 2. Problem 20, p. 194. 3. Problem 22, parts a, b, c, g, h, p. 195. (Hint: First determine how a general signal x ( t ) is affected by convolution with the scaled and shifted impulse Aδ ( t − T0 ) . Then you can solve all of the parts of this problem without having to evaluate additional convolution integrals. Also note that δT ( t ) = € example, δ 2 ( t ) = ∞ ∑δ ( t − nT ) – so for n =€ −∞ ∞ ∑δ ( t − 2n ) .) n = −∞ € Consider a CT LTI system having impulse response h ( t ) = t [ u( t ) − u( t − 1)] . Use 4. convolution to find the response y ( t ) to each of the following input signals. € Graph h ( t ) , and for each part, graph x ( t ) and y ( t ) . € € € (a) x ( t ) = δ ( t ) € (b) x ( t ) = 4 δ ( t − 2) € (c) x ( t ) = u( t ) (d) x ( t ) = 2[ u( t ) − u( t − 2)] € € (e) x ( t ) = 2[ u( t ) − u( t − 4 )] € 5. € For the system in Figure E.27, part b, p. 196: Find the input ­output differential equation and transfer function of the system, and find the system output if the € input is x ( t ) = cos( t ) . 6. 7. Problem 29, p. 196. (Graph the magnitude and phase of the transfer function evaluated at s = − j 2 π f as functions of f .) € Problem 32, part a, p. 197. € € ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern