P-3.8 Consider the signal 1 x(t) 10+20 cos(2x(100)t + T+10 cos (2π(250)t) 4 a. Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.37) Determine values for fo, N, and all the complex amplitudes, a. It is not necessary to evaluate any integrals to obtain ak. b. Is the signal z(t) periodic? If so, what is the fundamental period? c. Plot the spectrum of this signal versus f in Hz. P-3.9 An amplitude-modulated cosine wave is represented by the formula 1 cos(13xt) 3 x(t)=12+7sin t sin(-) a. Use phasors to show that x(t) can be expressed in the form x(t) = A₁ cos(w₁t +41)+A₂ cos(wat +2)+A3 cos(wgt+43) where w₁

P-3.8 Consider the signal 1 x(t) 10+20 cos(2x(100)t + T+10 cos (2π(250)t) 4 a. Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.37) Determine values for fo, N, and all the complex amplitudes, a. It is not necessary to evaluate any integrals to obtain ak. b. Is the signal z(t) periodic? If so, what is the fundamental period? c. Plot the spectrum of this signal versus f in Hz. P-3.9 An amplitude-modulated cosine wave is represented by the formula 1 cos(13xt) 3 x(t)=12+7sin t sin(-) a. Use phasors to show that x(t) can be expressed in the form x(t) = A₁ cos(w₁t +41)+A₂ cos(wat +2)+A3 cos(wgt+43) where w₁

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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