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2. The received signals can be modeled by x(t)=s(t)+w(t), where s(t) is the desirable signals modeled by a zero-mean Gaussian random process with a Gaussian power spectrum density (PSD) of S, (f) = e 2² and w(t) is the additive white Gaussian noise (AWGN) with zero-mean and average power of Pn. Additionally, s(t) and w(t) are WSS and uncorrelated. (a) Find the autocorrelation function of x(t), (b) find the PSD of x(t), (c) plot both ACF and PSD of x(t) and properly label your plot to indicate Ps, Pn, and o. √₂πo

2. The received signals can be modeled by x(t)=s(t)+w(t), where s(t) is the desirable signals modeled by a zero-mean Gaussian random process with a Gaussian power spectrum density (PSD) of S, (f) = e 2² and w(t) is the additive white Gaussian noise (AWGN) with zero-mean and average power of Pn. Additionally, s(t) and w(t) are WSS and uncorrelated. (a) Find the autocorrelation function of x(t), (b) find the PSD of x(t), (c) plot both ACF and PSD of x(t) and properly label your plot to indicate Ps, Pn, and o. √₂πo

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Part B and C

2. The received signals can be modeled by x(t)=s(t)+w(t), where s(t) is the desirable signals modeled by a zero-mean Gaussian random process with a Gaussian power spectrum density f² Ps √2πO (PSD) of S, (f) = e 20² and w(t) is the additive white Gaussian noise (AWGN) with zero-mean and average power of Pn. Additionally, s(t) and w(t) are WSS and uncorrelated. (a) Find the autocorrelation function of x(t), (b) find the PSD of x(t), (c) plot both ACF and PSD of x(t) and properly label your plot to indicate Ps, P. and o.
Transcribed Image Text:2. The received signals can be modeled by x(t)=s(t)+w(t), where s(t) is the desirable signals modeled by a zero-mean Gaussian random process with a Gaussian power spectrum density f² Ps √2πO (PSD) of S, (f) = e 20² and w(t) is the additive white Gaussian noise (AWGN) with zero-mean and average power of Pn. Additionally, s(t) and w(t) are WSS and uncorrelated. (a) Find the autocorrelation function of x(t), (b) find the PSD of x(t), (c) plot both ACF and PSD of x(t) and properly label your plot to indicate Ps, P. and o.
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