HW8_ece220_2007 - Homework 8 (ECE220 - Fall 2007) Due:...

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Homework 8 (ECE220 - Fall 2007) Due: Wednesday, November 7 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. (37 points) Consider the LTI system described by the RLC circuit shown in the below figure. x ( t ) is the input and y ( t ) is the output. (a) (5 points) Find the differential equation that relates the input to the output. (b) (10 points) Determine the frequency response of the system. Let R = 1Ω, C = 1 F , and L = 1 H . (c) (5 points) Determine the output of the system in part a) if the input is x ( t ) = sin ( t ). (d) (5 points) Determine the output of the system in part a) if the input is x ( t ) = cos (2 t +1). (e) (12 points) Cascade the high pass filter introduced in class with the system to get the new system (drawn below). Calculate the frequency response of the system when the input is x ( t ) and the output is z ( t ). Leave you answer as a function R , L , and C .
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2. (18 points) Compute the Fourier Transform for the following signals.
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This note was uploaded on 05/31/2008 for the course ECE 2200 taught by Professor Johnson during the Fall '05 term at Cornell University (Engineering School).

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HW8_ece220_2007 - Homework 8 (ECE220 - Fall 2007) Due:...

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