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Unformatted text preview: NAME: 30 Nov. 2011 Digital Signal Processing I Exam 3 Fall 2011 Session 40 30 Nov. 2011 Cover Sheet WRITE YOUR NAME ON EACH EXAM SHEET Test Duration: 60 minutes. Open Book but Closed Notes. Calculators NOT allowed. This test contains two problems. All work should be done in the space provided. Do not just write answers; provide concise reasoning for each answer. 1 Problem 1. Let x [ n ] be a discretetime rectangular pulse of length L = 5 and h [ n ] be a discretetime rectangular pulse of length M = 3 as defined below: x [ n ] = u [ n ] u [ n 5] h [ n ] = u [ n ] u [ n 3] (a) With X N ( k ) computed as the 5pt DFT of x [ n ] = u [ n ] u [ n 5] and H N ( k ) computed as the 5pt DFT of h [ n ] = u [ n ] u [ n 3]. The 5point sequence y 5 [ n ] is computed as the 5pt inverse DFT of the product Y N ( k ) = X N ( k ) H N ( k ). Write out the 5 numerical values of y 5 [ n ] in sequence form as { y 5 [0] ,y 5 [1] ,y 5 [2] ,y 5 [3] ,y 5 [4] } ....
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This note was uploaded on 02/19/2012 for the course ECE 538 taught by Professor Zoltolski during the Fall '08 term at Purdue University.
 Fall '08
 ZOLTOLSKI
 Digital Signal Processing, Signal Processing

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