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n(t) is a zero mean Gaussian white noise with a psd of n/2. no(1) is related to n(t) by no(Ts) = ™* n(t)s(t) dt where s(t)=0 for t outside the interval [0, To] and fh s²(t) dt = E₁ Show that E{no(Tb)} = 0 and E{[no(Tb)]²} = nE,/2.

n(t) is a zero mean Gaussian white noise with a psd of n/2. no(1) is related to n(t) by no(Ts) = ™* n(t)s(t) dt where s(t)=0 for t outside the interval [0, To] and fh s²(t) dt = E₁ Show that E{no(Tb)} = 0 and E{[no(Tb)]²} = nE,/2.

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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8.1. n(t) is a zero mean Gaussian white noise with a psd of n/2. no(1) is related to n(t) by no(Tb) = [Th n(t)s(t) dt where s(t)=0 for t outside the interval [0, To] and f¹h s²(t) dt = E, Show that E{no(Tb)} =0 and E{[no(Tb)]²} = nEs/2.
Transcribed Image Text:8.1. n(t) is a zero mean Gaussian white noise with a psd of n/2. no(1) is related to n(t) by no(Tb) = [Th n(t)s(t) dt where s(t)=0 for t outside the interval [0, To] and f¹h s²(t) dt = E, Show that E{no(Tb)} =0 and E{[no(Tb)]²} = nEs/2.
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