ece380 - Assign10 - F08

ece380 - Assign10 - F08 - Assignment Ten ECE 3800 Fall 2008...

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Assignment Ten ECE 3800 Fall 2008 Date Due: November 19
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1. Consider the random process defined by , where A is a random variable uniformly distributed on [1,4]. a. Sketch a graph of the ensemble of X ( t ). Be sure to include all key points! b. Find the statistical mean of X . c. Find the time average of X . d. Is X ergodic? e. Is X stationary in the variance?
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2. Consider the random process . A is a Gaussian random variable with mean 2 and standard deviation 2. B is uniformly distributed on the interval . a. Find the time average . b. Find the statistical average . c. Find the statistical variance . d. Is X ( t ) Ergodic? Why/not?
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3. A random process has the form , where 2 is uniformly distributed on [0, B ]. a. Find the mean of b. Find the variance of c. Find the autocorrelation of . d. Is wide sense stationary? Why/not?
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A random process has the form , where 2 and N are random variables that are uniformly distributed on [- B , B ]. a.
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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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ece380 - Assign10 - F08 - Assignment Ten ECE 3800 Fall 2008...

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