A stationary random process n(t) has a power spectral density of 10 -6 W/Hz, - < f < . It is passed through an ideal low pass filter with frequency response function H(f) = II (f / 500 kHz), where II(x) is the unit-area pulse function defined in Chapter 2. (a) Find and sketch the power spectral density of the
Chapter 7, Problem #18
A stationary random process n(t) has a power spectral density of 10-6 W/Hz, -∞ < f < ∞. It is passed through an ideal low pass filter with frequency response function H(f) = II (f / 500 kHz), where II(x) is the unit-area pulse function defined in Chapter 2.
(a) Find and sketch the power spectral density of the output?
(b) Obtain and sketch the auto correlation function of the output.
(c) What is the power of the output process? Find it two different ways.
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Answer
a. The output power spectral density is S out (f) = 10 -6 II (f/5 10 5 ) Note that the re…View the full answer
Related Book For 
Principles of Communications Systems, Modulation and Noise
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
ISBN: 978-8126556793