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Homework%204

# Homework%204 - n u n Cos n u n x n 1(c Find the frequency...

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University of Southern California Ming-Hsieh Department of Electrical Engineering EE200, Homework 4, Spring 2009, Ali Zadeh ______________________________________________________________________________________________ (Q1) Consider the following Linear Time Invariant (LTI) system with impulse response h(n) and input signal x(n). Using convolution sum, find the output response y(n). _______________________________________________________________________________________________ (Q2) Consider the following Discrete-Time Linear-Time Invariant (DT-LTI) system with impulse response h(n) (a) Using Convolution sum, find the output response y(n) when the input signal x(n) is a unit step function. 0 0 0 1 n , n , ) n ( u ) n ( x (b) Using Convolution sum, find the output response y(n) when the input signal x(n) is:
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Unformatted text preview: ) n ( u ) n ( Cos ) n ( u ) ( ) n ( x n 1 (c) Find the frequency response of the system H( ) using complex exponential input signal. (d) Find the magnitude response of the filter M( ). Plot the magnitude response M( ) in the range of frequencies ± . (e) Find the phase response ( ) of the filter. Plot the phase response ( ) in the range of frequencies ± . _______________________________________________________________________________________________ (Q3) Solve problem 6 in Appendix B of the textbook on page 630. ______________________________________________________________________________________________...
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