EE4150_2003_final

# EE4150_2003_final - EE4150 Digital Signal Processing Dr....

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1 EE4150 Digital Signal Processing Dr. Hsiao-Chun Wu Final Examination, Spring of 2003 Time: 7:30~9:30 a.m., Saturday, May 17, 2003 Please ALWAYS work on the FRONT SIDE of each page. No answer on the BACK SIDE of any page will be GRADED! Ask for additional blank papers if necessary! You may check any textbook, classnote or other references alone during the test. However, NO CHEATING or COLLABORATION is allowed and such violation of the university regulations will be reported. Please write down your name and social security number here: Full Name: __________________ SOLUTION ______________________ Social Security Number: ___________________________________________ Partition Score Question 1 Question 2 Question 3 Question 4 Total

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2 Question 1 (30%) The Z-transform of a discrete-time sequence x ( n ) is ) ( ) ( ) ( b z a z z z X = 2 2 , 0 1 > > > b a . (a) What is the partial fraction expansion of X ( z )? (10%) (b) What is x ( n ) if the ROC is b z a > > ? (10%) (c) What is x ( n ) if the ROC is a z > ? (10%)
3 Answer to Question 1: (a) Assume b z A a z A a z A z z X + + = 21 2 12 11 ) ( ) ( ) ( . 2 2 2 11 ) ( ) ( ) ( ) ( ) ( b a b b z z b z z z X a z dz d A a z a z = = = = = ) ( ) ( ) ( ) ( b a a b z z z z X a z A a z a z = = = = = 2 12 2 2 21 ) ( ) ( ) ( ) ( b a b a

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## This note was uploaded on 02/26/2012 for the course EE 4150 taught by Professor Wu during the Fall '10 term at LSU.

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EE4150_2003_final - EE4150 Digital Signal Processing Dr....

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