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HWA_ece220_2007 - sponds to this system 2(30 points The...

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Homework 10 (ECE220 - Fall 2007) Due: Wednesday, November 28 by 2PM in the drop box outside 219 Phillips Hall. Reasoning and work must be shown to gain full/partial credit. WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (30 points) An LTI system has input x [ n ] = [ a - n + a - 3 n ] u [ n ] and output x [ n ] = [ a - n + a - 4 n ] u [ n ] (a) (15 points) Determine the frequency response of the system. (b) (15 points) Use section 5.8 from the book to provide the difference equation that corre-
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Unformatted text preview: sponds to this system. 2. (30 points) The following system models the effect of a ”sample and hold” device. where h ( t ) is the impulse response of the following circuit: Prove that y ( kT ) can be written as the discrete time convolution of x ( kT ) with h ( kT ) = u ( kT ) 1 RC e kT RC 3. (20 points) Problem 5.43 from the book. 4. (20 points) Problem 9.21 from the book....
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