Problem 3: (a) A wide-sense stationary random process X(t) has a power spectral density given below. Find its autocorrelation function Rxx(7). You don't have to plot it, just give the expression as a function of T. -2π-π Sxx(w) π 2п (b) The signal X(t) from (a) is applied at the input of a linear time-invariant system that is an integrator with a frequency response H(w) = 1/(jw). Plot |H(w)|2. Label the axes and relevant points on the plot. = (c) Find and PLOT the power spectral density of Y(t), where Y(t) is the output of the system in (b). Label the axes and relevant points on the plot. (d) Find the power of the signal Y(t) from (c), which is the mean square value E[Y(t)²].

Problem 3: (a) A wide-sense stationary random process X(t) has a power spectral density given below. Find its autocorrelation function Rxx(7). You don't have to plot it, just give the expression as a function of T. -2π-π Sxx(w) π 2п (b) The signal X(t) from (a) is applied at the input of a linear time-invariant system that is an integrator with a frequency response H(w) = 1/(jw). Plot |H(w)|2. Label the axes and relevant points on the plot. = (c) Find and PLOT the power spectral density of Y(t), where Y(t) is the output of the system in (b). Label the axes and relevant points on the plot. (d) Find the power of the signal Y(t) from (c), which is the mean square value E[Y(t)²].

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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