Obtain the auto correlation functions and power spectral densities of the outputs of the following systems with

Question:

Obtain the auto correlation functions and power spectral densities of the outputs of the following systems with the input auto correlation functions or power spectral densities given.

(a) Transfer function:

H(f) = II(f / 2B)

Auto correlation function of input:

No 6(7) Rx(t) = 2 %3D

N₀ and B are positive constants.

(b) Impulse response:

h(t) = A exp(-Î±t) u(t)

Power spectral density of input:

S_X (f) = B / 1 + (2Ï€Î²f)²

A,Î±, B, and Î² are positive constants.

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Sep 22, 2018 11:37 AM

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Obtain the auto correlation functions and power spectral densities of the outputs of the following systems with

Question:

No 6(7) Rx(t) = 2 %3D

Step by Step Answer:

a The power spectral density is The auto correlation functio...View the full answer

Principles of Communications Systems, Modulation and Noise

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