20092ee132A_1_ca1

20092ee132A_1_ca1 - Convolve x3 and x4. Give the values of...

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EE132A, Spring 2009 Communication Systems Prof. John Villasenor Handout# 3 Computer Assignment #1 Assigned: Monday, April 6, 2009 Due: Monday, April 13, 2009 1. Using Matlab, convolve the discrete input signal x(n) with the discrete filter response h(n), where a. x=[ 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1] h(n)=1, 0 n<5 b. x(n)=0.8 n u(n) h(n)=1, 0 n<20 The bold faced 1 in x(n) denotes the location of the origin (n=0). Provide a plot of the x(n), h(n), and the output for each case. 2. Consider the sequences x3=[ 1 -3 2 -1] and x4=[ -2 3 -1 1]. Using Matlab, a.
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Unformatted text preview: Convolve x3 and x4. Give the values of the output (you do not need to turn in a plot). b. Use Fourier transform convolution theorem to find the convolution. Use the function FFT to get the Fourier transform of x3 and x4, using an FFT of length 4. Give the values of the output. Is the answer same as in part a? Why or why not? c. Consider x3' = [ 1-3 2 -1 0 0 0 0] and x4' = [-2 3 -1 1 0 0 0 0]. Use the function FFT to get the Fourier transform of x3 and x4, using an FFT of length 8. Give the values of the output. Is the answer same as in part a? Why or why not....
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