HW5 - ECE 301, Homework #5, due date: 9/28/2011...

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Unformatted text preview: ECE 301, Homework #5, due date: 9/28/2011 http://cobweb.ecn.purdue.edu/ chihw/11ECE301F/11ECE301F.html Question 1: [Basic] p. 141, Problem 2.21 (b,d). Question 2: [Basic] p. 141, Problem 2.22 (a,e). Question 3: [Basic] This question is to verify the following two properties of the convolu- tion sum / integral: Commutativity: (a) For an LTI system with h ( t ) = 2 U ( t + 1)- 2 U ( t ), find out the response y ( t ) when x ( t ) = U ( t + 1)- U ( t- 1). (b) For an LTI system with h ( t ) = U ( t +1)-U ( t- 1), find out the response y ( t ) when x ( t ) = 2 U ( t +1)- 2 U ( t ). Are your answers the same for the questions (a) and (b)? Distributivity: (a) For an LTI system with h ( t ) = 2- 3 t U ( t ), find out the response y ( t ) when x ( t ) = 2 U ( t +1)- 2 U ( t ) by computing the convolution integral x ( t ) * h ( t ). (b) For an LTI system with h ( t ) = 2- 3 t U ( t ), find out the response y 1 ( t ) when x 1 ( t ) = 2 U ( t + 1). Find out the response y 2 ( t ) when x...
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This note was uploaded on 02/05/2012 for the course ECE 301 taught by Professor V."ragu"balakrishnan during the Fall '06 term at Purdue University-West Lafayette.

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HW5 - ECE 301, Homework #5, due date: 9/28/2011...

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