White Gaussian noise of double-sided power spectral density 1 W/Hz is passed through a filter with frequency
Question:
White Gaussian noise of double-sided power spectral density 1 W/Hz is passed through a filter with frequency response function H(f) = (1 +j2πf)-1.
(a) What is the power spectral density, SY(f), of the output process?
(b) What is the auto correlation function, RY (τ), of the output process?
(c) What is the mean of the output process?
(d) What is the variance of the output process?
(e) Is the output process stationary?
(f) What is the first-order pdf of the output process?
(g) Comment on the similarities and dissimilarities of the output process and the random process considered in Example 7.2.
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a The power spectral density of the output process is given by SYf Hf2 Sxf where Sxf is the power sp...View the full answer
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Related Book For 
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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