Q.4 Consider the sinuso idal signals:u(t) = cos(100zt -).v(t) = cos(105zt +), w(t) = cos(110t-31a) Give the time periods and frequencies of u(t),v(t) and w(t).b) How do you show that f(t) = 5 + 2u(t) + 5v(t) + 7w(t) is a periodic signalc)Find the findamental period and fiundamental frequency of f(t).d)Give MATLAB plots of u(t),v(t), w(t) and f(t).We know that a periodic signal f(t) can be expanded into the Fourier seriesin the following three forms:e)f(t) = a, +{az cos(kN,t) + b̟ sin (kN,t)}k=1= a, +2 21czl{cos(kN,t – 4z)}k=1Find az, ,bg , Cg and oz,and fill in the blanks in the table below (inchuding k).kbrPkWrite down the Fowrier-series expansion of f(t) in the three forms given above.g)Write down the harmonics of f(t).h)u(t),v(t) and w(t) are delayed by different amounts of time (from the origin). Cakcuatei)j)these delays.Draw the magnitude and phase frequency spectrums of f (t).Compute the average and RMS vahes of f(t).

Answered: Image /qna-images/answer/5cfdc932-e556-49fa-85e0-231c5582627a.jpg

Q.4 Consider the simisoidal signals: u(t) = cos(100zt -).v(t) = cos(105at +-), w(t) =cos(110xt - a) Give the time periods and frequencies of u(t),v(t) and w(t). b) How do you show that f(t) = 5 + 2u(t) + 5v(t) + 7w(t) is a periodic signal c) Find the findamental period and findamental frequency of f(t).

Q.4 Consider the simisoidal signals: u(t) = cos(100zt -).v(t) = cos(105at +-), w(t) =cos(110xt - a) Give the time periods and frequencies of u(t),v(t) and w(t). b) How do you show that f(t) = 5 + 2u(t) + 5v(t) + 7w(t) is a periodic signal c) Find the findamental period and findamental frequency of f(t).

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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