Problem 4: (a) A wide-sense stationary random process has a power spectral density given below. The signal is applied at the input of a linear time-invariant system that is an ideal lowpass filter with a cutoff frequency of 100 radians/s and a gain of 4. Plot the power spectral density of the output signal of this lowpass filter. Label the axes and relevant points on the plot. Sxx(w) -200T 5 200T w (rad/s) (b) The output of the filter in (a) is applied at the input of a linear time-invariant system that is an ideal differentiator. Plot the power spectral density of the output signal of the differentiator. Label the axes and relevant points on the plot. (c) Find the average power of the output of the differentiator in (b).

Problem 4: (a) A wide-sense stationary random process has a power spectral density given below. The signal is applied at the input of a linear time-invariant system that is an ideal lowpass filter with a cutoff frequency of 100 radians/s and a gain of 4. Plot the power spectral density of the output signal of this lowpass filter. Label the axes and relevant points on the plot. Sxx(w) -200T 5 200T w (rad/s) (b) The output of the filter in (a) is applied at the input of a linear time-invariant system that is an ideal differentiator. Plot the power spectral density of the output signal of the differentiator. Label the axes and relevant points on the plot. (c) Find the average power of the output of the differentiator in (b).

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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