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A wide sense stationary process X(t) is passed through a linear time-invariant filter with impulse response h(t) and a process Y(t) is obtained at output. The power spectral density (PSD) Sx(f) of the process X(t) and the Fourier transform magnitude of the filter h(t) are given below.

A wide sense stationary process X(t) is passed through a linear time-invariant filter with impulse response h(t) and a process Y(t) is obtained at output. The power spectral density (PSD) Sx(f) of the process X(t) and the Fourier transform magnitude of the filter h(t) are given below.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A wide sense stationary process X(t) is passed through a linear time-invariant filter with impulse response h(t) and a process Y(t) is obtained at output. The power spectral density (PSD) Sx(f) of the process X(t) and the Fourier transform magnitude of the filter h(t) are given below. XA) hct) Sx(f) K if (K Hz] of (K He] -12 12 a) Plot the power spectral density (PSD) Sy(f) of the process Y(t) b) Determine the Nyquist sampling frequency for the process Y(t) c) Assuming that after sampling the samples of the process are quantized with N = 256 levels. What is the bit rate R, for transmitting this samples in binary format? d) What is the bandwidth in Hz required to transmit this bit rate?
Transcribed Image Text:A wide sense stationary process X(t) is passed through a linear time-invariant filter with impulse response h(t) and a process Y(t) is obtained at output. The power spectral density (PSD) Sx(f) of the process X(t) and the Fourier transform magnitude of the filter h(t) are given below. XA) hct) Sx(f) K if (K Hz] of (K He] -12 12 a) Plot the power spectral density (PSD) Sy(f) of the process Y(t) b) Determine the Nyquist sampling frequency for the process Y(t) c) Assuming that after sampling the samples of the process are quantized with N = 256 levels. What is the bit rate R, for transmitting this samples in binary format? d) What is the bandwidth in Hz required to transmit this bit rate?
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