ecen444-fall09-hw8

# ecen444-fall09-hw8 - ECEN 444 Digital Signal Processing...

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Unformatted text preview: ECEN 444: Digital Signal Processing, Fall‘09 Homework #8 Homework Assignment #8 Due date – Nov. 23, 2009 (Mon), 12:40PM in class. Problem 1. Modulation (10 points) Solve problem P7.7 in the textbook. Problem 2. Circular convolution (5 points) Solve problem P7.8 in the textbook. Problem 3. Circular convolution (9 points) Compute the 5-point circular convolution of the following signals. For each signal, the first value in the set corresponds to n = 0 and the last value corresponds to n = 4 . (a) x ( n ) = { 1 , 2 , 3 , 4 , 5 } and y ( n ) = { 1 , 1 , 1 , 1 , 1 } . (b) x ( n ) = { 1 , 2 , 3 , 2 , 1 } and y ( n ) = { 1 , 2 , 3 , 2 , 1 } . (c) x ( n ) = { 3 , 2 , 1 , 1 , 2 } and y ( n ) = { 2 , 1 , 1 , 2 , 3 } . Problem 4 DFT and circular convolution (5 points) Solve problem P7.9 in the textbook. Problem 5. DFT and Fourier transform (9 points) Solve problem P7.25 in the textbook. Problem 6. Matlab (Filtering using DFT) (12 points) We can use DFT for simple frequency-domain filtering, e.g., lowpass filtering and highpass filtering. GivenWe can use DFT for simple frequency-domain filtering, e....
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ecen444-fall09-hw8 - ECEN 444 Digital Signal Processing...

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