20112ee113_1_Hw6

20112ee113_1_Hw6 - X ( e j ) without computing the...

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EE113: Digital Signal Processing Spring 2011 Prof. Mihaela van der Schaar (Instructor) Homework #6 Solve the following problems from the electronic versions of the chapters of An Undergraduate Course on Discrete-Time Signal Processing by Prof. A. H. Sayed: Problem 12.4. Problem 13.6. Problem 13.7. Problem 13.8. Problem 13.9. In addition, solve the following two problems. Problem A Let X ( e ) denote the DTFT of a length-9 sequence x ( n ) given by x ( n ) = n 4 , 2 , - 1 , 5 , - 3 , 1 , -2 , 4 , 2 o , - 6 n 2 . Evaluate the following functions of
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Unformatted text preview: X ( e j ) without computing the transform itself: (a) X ( e j ) (b) X ( e j ) (c) Z - X ( e j ) d (d) Z - X ( e j ) 2 d (e) Z - dX ( e j ) d 2 d Problem B Evaluate the following series by using the properties of the DTFT: X n =2 sin 3 n n 2 and X n =1 cos 3 n n 2 Hint : use X n =1 1 n 2 = 2 6 and cos 2 = 1-2 sin 2 . 1...
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This note was uploaded on 10/07/2011 for the course EE 113 taught by Professor Walker during the Spring '08 term at UCLA.

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