(i) Show that x(t) = el@ot is a periodic signal where wo is a constant. Also find the period of the signal. (ii) A frequency modulated signal can be represented by x(t) = A cos(w.t + B sin wmt). Write an expression for the complex signal (exponential form) î (t) whose real part is x(t). (iii) Separate the periodic part of £ (t) and express it a complex Fourier series. (iv) The Bessel function Jn(x) is defined as ej(ß sinx-nx) dx. Express x(t) in terms of summation of Bessel functions. (v) For the frequency modulated signal given in 2(b)(ii), find and sketch the frequency spectrum (with appropriate values) if ß « 1.

(i) Show that x(t) = el@ot is a periodic signal where wo is a constant. Also find the period of the signal. (ii) A frequency modulated signal can be represented by x(t) = A cos(w.t + B sin wmt). Write an expression for the complex signal (exponential form) î (t) whose real part is x(t). (iii) Separate the periodic part of £ (t) and express it a complex Fourier series. (iv) The Bessel function Jn(x) is defined as ej(ß sinx-nx) dx. Express x(t) in terms of summation of Bessel functions. (v) For the frequency modulated signal given in 2(b)(ii), find and sketch the frequency spectrum (with appropriate values) if ß « 1.

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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