{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW7 (S 2007) - ELCT 321 Digital Signal Processing Homework...

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

ELCT 321 Digital Signal Processing Homework Assignment # 7 (Frequency Response of FIR/ IIR Filters) by Dr. Yong-June Shin Assigned: April 12, 2007 Due: April 26, 2007 1. (20 Points) Consider a liner time-invariant system has frequency re- sponse H ω ) = (1 + e - j ˆ ω )(1 - e jπ/ 2 e - j ˆ ω )(1 - e - jπ/ 2 e - j ˆ ω ) The input ti the system is x [ n ] = 1 + 10 cos( π 2 n - π 4 ) + 5 δ [ n - 2] Use superposition to determine the corresponding output of the LTI system y [ n ]. 2. (20 Points) Suppose that S is a linear time-invariant system whose exact form is unknown. It is to be tested by observing the output signals corresponding to several different test inputs. Suppose that the following input-output pairs are the result of the tests: x [ n ] = δ [ n ] 7-→ y [ n ] = δ [ n ] - δ [ n - 3] x [ n ] = cos(2 πn/ 3) 7-→ y [ n ] = 0 x [ n ] = cos( πn/ 3 + π/ 2) 7-→ y [ n ] = 2 cos( πn/ 3 + π/ 2) (a) Determine the output when the input is x [ n ] = 2 δ [ n - 2] (b) Determine the output when the input is x [ n ] = 10 cos( π ( n - 3) / 3) (c) Determine the output when the input is x [ n ] = 10 cos(2 π ( n - 3) / 3)

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 ]}

### 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