1) The non-ideal DSB-SC AM signal, x, (t) = x(1) cos(2wfet +) with a phase shift , is applied to the system whose block diagram is given in Fig. 1 where x(t) is a wide sense stationary (WSS) random process and is a uniformly distributed random variable within [0,2m]. x(t) and are independent. The autocorrelation function and power spectral density (PSD) of x(t) are denoted by R, (t) and G, (), respectively. a) Find the autocorrelation function of a(t), R, (t) and the power spectral density function of r(t), G,() in terms of system parameters. b) If the impulse response of the filter is h(t)e-, find the PSD of y(t), G,(). c) If we want to observe x(t) at the output of the system, propose a proper frequency response of the filter, H(). Demonstrate that y(t)= x(t). |xc(t) z(t) E 200 A\P h(t) H(f) y(t) cos(2nfet + 0) S\ (x5 200 + 1) = x $\(x$809-1) = %. Śnila Fig. 1. le S=

1) The non-ideal DSB-SC AM signal, x, (t) = x(1) cos(2wfet +) with a phase shift , is applied to the system whose block diagram is given in Fig. 1 where x(t) is a wide sense stationary (WSS) random process and is a uniformly distributed random variable within [0,2m]. x(t) and are independent. The autocorrelation function and power spectral density (PSD) of x(t) are denoted by R, (t) and G, (), respectively. a) Find the autocorrelation function of a(t), R, (t) and the power spectral density function of r(t), G,() in terms of system parameters. b) If the impulse response of the filter is h(t)e-, find the PSD of y(t), G,(). c) If we want to observe x(t) at the output of the system, propose a proper frequency response of the filter, H(). Demonstrate that y(t)= x(t). |xc(t) z(t) E 200 A\P h(t) H(f) y(t) cos(2nfet + 0) S\ (x5 200 + 1) = x $\(x$809-1) = %. Śnila Fig. 1. le S=

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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Consider the following amplitude modulated signals(t)= cos(2000t) 4cos(2400t) cos(2800t). If this signal is sampled, then what will be Nyquist's sampling frequency of this signal s(t)?
Subject : Communication Systems