Assignment(3)_New - Signals and Systems(EENG 320...

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Signals and Systems (EENG 320) Assignment (3) 1) Compute the convolution of the following signals : [] yn xn hn =⊗ , n n un α β αβ = =≠ 2) Compute the convolution of the following signals, sketch the result: () yt xt ht a. t t x te u t e ut = = b. 2 () 2 ( 2) ( 5) (1 ) t ut e u t =−− + =− c. x(t), h(t) shown in fig(1) fig(1) 3) Let h(t) be a triangular pulse shown in fig(4) , and let x(t) be an impulse train shown in fig(5). Determine and sketch for the following values of T fig(2) fig(3)
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a. T = 4 b. T = 2 c. T = 3/2 d. T = 1 4) Determine whether each system is causal and/or stable .Justify your answer: a. 1 [] () [] 5 n hn un = b. [ ] (0.8) [ 2] n =+ c. 1 [] () [ ] 2 n u n =− d. [] ( 5 ) [ 3 ] n u n e. 1 [] ( ) [] ( 1 . 0 1 ) [ 1 ] 2 nn =+− f. 1 1 . 0 1 1 ] 2 u n g. 1 [] () [ 1 ]
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Assignment(3)_New - Signals and Systems(EENG 320...

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