hw07su09 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2025 Summer 2009 Problem Set #7 Assigned: June 23, 2009 Due Date: July 6-7, 2009 Please check the T-square chat and announcements daily. All official course announcements will be posted there. ALL of the STARRED problems should be turned in for grading. PROBLEM 7.1 *: Determine the z-transforms of the following sequences. For each sequence, express your answer three different ways: (1) a sum of rational functions; (2) a ratio of polynomials in z- 1 ; and (3) a product of factors of the form (1- az- 1 ). (a) x [ n ] = (0 . 7) n u [ n ] + (- . 7) n u [ n ]. (b) x [ n ] = 3(0 . 8) n cos(0 . 2 πn ) u [ n ]. PROBLEM 7.2 *: Consider a discrete time LTI system with the system function H ( z ) = 2 + 1 . 3 z- 2- 4 . 9 z- 5 4 + 0 . 8 z- 3- . 1 z- 7 (a) Find the input/output equation that relates the output y [ n ] to an arbitrary input x [ n ]. (To be a causal system, this equation should have a y [ n ] by itself on the left hand side.)] by itself on the left hand side....
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This note was uploaded on 01/24/2010 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Institute of Technology.

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hw07su09 - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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