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Unformatted text preview: 1 EE113 Homework 10 Problem 17.3 Let x ( n ) = ( n + 2) ( n ) + ( n 2) . (a) Determine its DTFT. (b) Sample the DTFT to obtain the 6point DFT of x ( n ) . (c) Obtain the same 6point DFT using (17.20). (d) Obtain the same 6point DFT using (17.21). Does aliasing in time occur? Problem 17.8 Find the inverse DFTs of the DFT sequences defined below over one period, k 5 : (a) X ( k ) = (1 , , 1 , , 1 , 0) . (b) Y ( k ) = e jk X ( k ) . (c) Y ( k ) = e j 3 k X ( k ) . (d) Y ( k ) = sin ( 3 k ) X ( k ) . In each case, plot  x ( n )  and x ( n ) . Problem 17.16 Determine the Npoint DFT of the sequences (a) x ( n ) = sin(2 n ) cos 2 ( n ) . (b) x ( n ) = cos( n ) sin 2 ( n ) . Problem 17.21 Figure 17.22 shows a 4point DFT. Give two sequences x ( n ) whose 4point DFTs agree with the figure. Problem 18.11 Let x ( n ) = { 1 , 2 , 1 , 1 2 } ....
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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
 Aliasing

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