Introduction to Communication Systems: Assignment 3 - Spring 2015, Thesis of Analog Communication

Question and answers about analog communication

Typology: Thesis

2018/2019

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University of Akron
Department of Electrical and Computer Engineering
4400 341: Introduction to Communication Systems - Spring 2015
Assignment โ€“ 3
3.8-4 Find the mean square value (or power) of the output voltage y(t) of the system shown in
Figure 1 if the input voltage PSD ๐‘†!๐‘“=!ฮ (๐œ‹๐‘“). Calculate the power (mean square
value) of the input signal x(t).
!
Figure 1
!Solution:
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University of Akron Department of Electrical and Computer Engineering 4400 341: Introduction to Communication Systems - Spring 2015 Assignment โ€“ 3 3.8- 4 Find the mean square value (or power) of the output voltage y(t) of the system shown in Figure 1 if the input voltage PSD ๐‘†! ๐‘“ = ฮ (๐œ‹๐‘“). Calculate the power (mean square value) of the input signal x(t). Figure 1

4.2- 1 You are given the baseband signals: I. ๐‘š ๐‘ก = cos( 1000 ๐œ‹๐‘ก) II. ๐‘š ๐‘ก = 2cos 1000 ๐œ‹๐‘ก + sin( 2000 ๐œ‹๐‘ก) III. ๐‘š ๐‘ก = cos( 1000 ๐œ‹๐‘ก) cos( 3000 ๐œ‹๐‘ก) IV. exp (โˆ’ 10 ๐‘ก ) For each one, do the following: a) Sketch the spectrum of m(t) b) Sketch the spectrum of the DSB-SC signal m(t)cos( 10 , 000 ๐œ‹๐‘ก) c) Identify the upper sideband (USB) and lower sideband (LSB) spectra.

4.2- 8 The system shown in Figure 2 is used for scrambling audio signals. The output y(t) is the scrambled version of the input m(t). a) Find the spectrum of the scrambled signal y(t) b) Suggest a method of descrambling y(t) to obtain m(t) Figure 2

4.3- 5 In a DSB-SC amplitude modulation system, the message signal is ๐‘š ๐‘ก = ๐‘’!!!๐‘ข(๐‘ก โˆ’ 2 ) and the carrier signal is cos( 2000 ๐œ‹๐‘ก). a) Find and sketch the Fourier transform of the message signal. b) Find and sketch the Fourier transform of the modulated signal.