A transmitter generates message signals that are described by a baseband stationary random process x(t). The power spectral density (PSD) of x(t) is shown in Figure Q4-A. The transmission channel is distortionless, but the receiver is affected by additive noise. The noise signals can be described by a stationary random process n(t). The PSD of n(t) is flat over the entire frequency range and is shown in Figure Q4-B. a. Find the Fourier transform of S(t), i.e., the PSD of x(t) with its variable renamed as t. b. Use the duality of the Fourier transform and the result in Q4-a, find the autocorrelation of x(t). Sx(f) 10-3 0 -f (Hz) Figure Q4-A 10-9 -104 Sn (f) 0 Figure Q4-B -ƒ (Hz) 104

A transmitter generates message signals that are described by a baseband stationary random process x(t). The power spectral density (PSD) of x(t) is shown in Figure Q4-A. The transmission channel is distortionless, but the receiver is affected by additive noise. The noise signals can be described by a stationary random process n(t). The PSD of n(t) is flat over the entire frequency range and is shown in Figure Q4-B. a. Find the Fourier transform of S(t), i.e., the PSD of x(t) with its variable renamed as t. b. Use the duality of the Fourier transform and the result in Q4-a, find the autocorrelation of x(t). Sx(f) 10-3 0 -f (Hz) Figure Q4-A 10-9 -104 Sn (f) 0 Figure Q4-B -ƒ (Hz) 104

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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