For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x(t) = cos(5t - π/4) (f) x(t) = cos 3t + cos 5t

For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x(t) = cos(5t - π/4) (f) x(t) = cos 3t + cos 5t

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.

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For each of the following signals, compute the complex exponential Fourier series by using
trigonometric identities, and then sketch the amplitude and phase spectra for all values of k.
(a) x(t) = cos(5t - π/4)
(f) x(t) = cos 3t + cos 5t

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