ecen444-fall09-hw7

# ecen444-fall09-hw7 - ECEN 444: Digital Signal Processing,...

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ECEN 444: Digital Signal Processing, Fall‘09 Homework #7 Homework Assignment #7 Due date – Nov. 13, 2009 (Fri), 12:40PM in class. Problem 1. Frequency response of LTI system (10 points) Solve problem P5.9 in the textbook. Problem 2. Moving average system (10 points) Consider a moving average system deﬁned by the following difference equation: y ( n ) = 7 X k =0 x ( n - k ) (a) Find the impulse response h ( n ) and the transfer function H ( z ) of the system. (b) Draw the pole-zero plot for H ( z ) . (c) Use Matlab to plot the magnitude response | H ( ω ) | for the range 0 ω π . * Hint: >> help freqz (d) Use Matlab to the phase response Θ( ω ) = 6 H ( ω ) for the range 0 ω π . * Hint: >> help angle (e) Let H 3 ( z ) = H ( z 3 ) . Use Matlab to plot | H 3 ( ω ) | and Θ 3 ( ω ) = 6 H 3 ( ω ) for the range 0 ω π .

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Problem 3. Digital resonator (10 points) Consider the following digital resonator: H ( z ) = b 0 (1 - re 0 z - 1 )(1 - re - 0 z - 1 ) (a) Let r = 0
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## This note was uploaded on 02/08/2010 for the course ECEN 444 taught by Professor Chan during the Fall '09 term at Texas A&M.

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ecen444-fall09-hw7 - ECEN 444: Digital Signal Processing,...

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