Assign3_Convolution - t to the input x t where 3 1 2 2 sin...

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EE3210 Assignment 3: Convolution Due: (before lecture) Oct 14, 2009. 1. Compute the convolution y [ n ] = x [ n ] * h [ n ], where ]. 1 [ ] [ and ] 1 [ 3 1 ] [ = = n u n h n u n x n 2. Consider the following pair of signals: = = otherwise 0 16 11 or , 7 2 1 ] [ and otherwise 0 4 0 1 ] [ n n n h n n x a) Sketch the signals x [ n ] and h [ n ]. b) Determine and sketch y [ n ] = x [ n ] * h [ n ] using the graphical method. (Hint: see Example 2.2 in the Textbook.) 3. Find the response y ( t ) of the LTI system with impulse response h (
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Unformatted text preview: t ) to the input x ( t ), where [ ] [ ] ) 3 ( ) 1 ( 2 ) ( ) 2 ( ) ( sin ) ( − − − = − − = t u t u t h t u t u t t x π 4. The following are the impulse responses of discrete-time LTI systems. Determine whether each system is causal and/or stable. Justify your answers. a) ] 1 [ ) 01 . 1 ( ] [ ) 2 1 ( ] [ − + − = n u n u n h n n b) ] 1 [ ) 01 . 1 ( ] [ ) 2 1 ( ] [ n u n u n h n n − + − =...
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