ece 380 - Test 03 - F08

# ece 380 - Test 03 - F08 - a Assuming that the initial...

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ECE 3800 Fall 2008 Severance Opportunity Three 1. [24 points] Consider a signal whose spectral density is given by a. Find the total average power of this signal. b. Find the average power between the frequencies and . c. Compute the autocorrelation of this signal. 2. [34 points] Consider a signal , where the random variables are all statistically independent and defined as follows: A is uniformly distributed on , is uniformly distributed on is uniformly distributed on a. Find the autocorrelation . b. Find the spectral density . c. Sketch a graph of . d. Find the DC average power. e. Find the total average power.

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k 0 1 2 3 4 5 1 5 6 8 13 16 3. [22 points] Consider an asynchronous COM signal that alternates between -6 and 2 Volts. The transition times of one instance of this signal is tabulated below.
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Unformatted text preview: a. Assuming that the initial signal at time , the signal is low, sketch the instance . Be precise! b. Assuming that the statistics of the instance accurately reflect the statistics of the underlying process, find the autocorrelation . Be sure to show your work here! c. What is the total average power of ? 4. [20 points] Suppose that the autocorrelation of a process is given known to be a. Sketch the graph of . Be sure to carefully show important points, asymptotes and envelopes. b. Find the mean of the underlying process . c. Find the standard deviation of the underlying process too....
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## This note was uploaded on 03/17/2010 for the course ECE 3800 taught by Professor Staff during the Spring '08 term at Western Michigan.

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ece 380 - Test 03 - F08 - a Assuming that the initial...

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