mid09dsp

# mid09dsp - EE 4541 Digital Signal Processing Summer Session...

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EE 4541 – Digital Signal Processing – Summer Session, 2009 Midterm Exam (12:20 – 2:15 PM) Closed book, closed notes, no calculators, no electronic devices. One 8.5”x11” information sheet allowed. NOTE : Be sure to clearly show how you obtained your answer to each question! 1. (10 points) Let y(n) be the sequence obtained by a linear convolution of h(n) and x(n) , where all 3 sequences begin at n = 0 . The sequences y(n) and x(n) are as follows: y(n) = {-3, -11, -16, -23, -30, -17, -2} x(n) = {3, 2, 4, 7, 1} Determine the sequence h(n) . 2. (15 points) Determine the fundamental period of the following sequence: ( ) ) 8 . 0 7 . 0 cos( 3 2 . 0 56 . 0 sin 2 ) ( π + + = n n n x 3. (15 points) Give the value that is produced when the following MATLAB code is executed. (Explain clearly how you obtain your answer!) x = pi/24; y = cos(x) - j*sin(x); z = y^108; A = [z zeros(1,99)]; a = ifft(A); b = round(500*j*sum(a)) 4. (15 points) Determine the z-transform of the following sequence and its ROC:

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## This note was uploaded on 04/09/2010 for the course EE -1 taught by Professor -1 during the Summer '08 term at Stanford.

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mid09dsp - EE 4541 Digital Signal Processing Summer Session...

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