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Unformatted text preview: ECE220 Signals and Information Spring 2008 Homework 1: Due Monday, March 3rd, 10:08am Drop your homework in the collection box marked ECE220 Spring 2008, homeworks , 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 8-12 and Chapters 6, 7 and 8 in the textbook. Problem 1 Consider a sound piece consisting of 2 sets of harmonics 1. 5 harmonics at frequencies 2 m 16 , m = 1 , 2 , 3 , 4 , 5, along with 2. 3 harmonics at frequencies 2 m 12 , m = 1 , 2 , 3 (a) The sound is filtered by a a length-8 moving averages filter. How many harmonics will be preserved in the output? (b) Is it possible to remove one set of harmonics while preserving the other set by a moving averages filter of any length? Problem 2 Determin the z-transform of the following sequences: (a) x [ n ] = [ n- 1]- 1 2 n u [ n ] (b) x [ n ] = 1 2 n +3 u [ n ] (3) x [ n ] =...
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