Challenge14_Convolution

Challenge14_Convolution - Digital Signal Processing Dr....

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Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: Convolution Challenge Challenge: [14] Challenge A 5-sample moving average (MA) filter is presented with a 10-sample unit step and 10-sample zero mean Gaussian random noise process at a sample rate of 1000 Sa/s. In each case there is a transient “build up.” “build down,” and what is called the stead-state phase. Q: What is the length, in seconds, of each of these phases? Response The input signal is of length N=10 samples or 10ms. The filter is of length M=5 of 5ms. The convolution sum is of length N+M-1=14 or 14 ms. The transient “build up: lasts for 4 samples of 4 ms. The transient “build down” has the same duration.
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This note was uploaded on 08/21/2010 for the course EEL 5525 taught by Professor Yang during the Summer '09 term at University of Florida.

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Challenge14_Convolution - Digital Signal Processing Dr....

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