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Unformatted text preview: 1 EE113 Homework 2 Problem 2.2 Consider the complex numbers z 1 = 1 4 + j 3 4 , z 2 = 3 4 j 1 4 Find the polar representations of the numbers: z * 1 , z 2 , z * 1 z 2 , z 2 1 /z 2 , z 1 z 3 2 , and  z 1  z * 2 . Problem 2.6 Plot in polar coordinates the terms of the sequence x ( n ) = parenleftBig 2 2 + j 2 2 parenrightBig 2 n u ( n ) . What is the energy and average power of this sequence? Problem 2.8 Let x ( n ) = parenleftbigg 1 4 parenrightbigg n 2 e j ( 6 n 3 ) parenleftBigg 3 2 j 1 2 parenrightBigg and denote its polar representation by x ( n ) = ( n ) e j ( n ) , where both ( n ) and ( n ) are functions of n . (a) Determine ( n ) and ( n ) . (b) Determine the even and odd parts of ( n ) . (c) Determine the even and odd parts of ( n ) . Problem 2.10 Express the complex exponential sequence x ( n ) = parenleftbigg 1 2 + j 1 2 parenrightbigg 2 parenleftBigg 3 2 j 1 2 parenrightBigg 2 n in polar form and plot its terms at the time instants...
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This note was uploaded on 01/24/2012 for the course EE 113 taught by Professor Walker during the Fall '08 term at UCLA.
 Fall '08
 Walker

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