20111ee114_1_hw5

20111ee114_1_hw5 - 2--= after sampling and reconstruction....

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EE114, Winter 2011 Problem Set 5 ________________________________________________________________________ Problem Set #5 Due: February 16, 2011 1) Let ( 29 n m a , and ) , ( n m b be two discrete, aperiodic sequences as specified below. The underscore indicates the location of the origin. Find the convolution ( 29 ( 29 ( 29 n m b n m a n m c , , , = ( 29 1 1 2 , - = n m a ( 29 3 1 2 1 4 0 1 , - - = n m b 2) Consider a continuous 2D signal of the form ( 29 [ ] y x y x f 3 4 2 cos ) , ( + = π . Suppose you wish to design a sampling/reconstruction system that fails to satisfy the Nyquist requirement, and that gives the aliased signal ( 29 ( 29 [ ] y x y x f 2 2 cos ,
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Unformatted text preview: 2--= after sampling and reconstruction. What should the sampling frequency of ( 29 y x F F , in this system be? 3) Find the 2D unitary DFT ( 29 l k v , of the following matrices: (a) = 1 1 ) , ( n m u (b) -= 1 1 4 ) , ( n m u (c) --------= 1 1 1 1 1 1 1 1 4 1 ) , ( j j j j j j j j n m u...
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This note was uploaded on 05/21/2011 for the course EE 114 taught by Professor Vanschaar during the Spring '11 term at UCLA.

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