ece380 - Assign12 - F08

# ece380 - Assign12 - F08 - Assignment Twelve ECE 3800 Fall...

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Assignment Twelve ECE 3800 Fall 2008 Date Due: December 12

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1. A random process is defined by , where A is uniform on [0,2], B is uniform on [-1,5] and 2 is uniform on [0,2 B ]. Also, A, B and 2 are independent. a. Derive a formula for the autocorrelation of X ( t ) b. Find the spectral density of X ( t ). c. Sketch the graph of the spectral density d. Verify that the spectral density function satisfies all required properties.
2. A random process has autocorrelation . a. Calculate the mean of this process. b. Calculate the variance of this process. c. Find the spectral density of this process.

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3. A signal has spectral density a. Find the total average power of the signal. b. Find the dc average power of the signal. c. Find the total power over the frequency range from to . d. Find the total power over the frequency range from to . e. Find the total power over the frequency range from to .
A certain signal has spectral density . a.

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ece380 - Assign12 - F08 - Assignment Twelve ECE 3800 Fall...

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