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(a) Explain in brief the relation between magnitude and phase of Amplitude-Phase Fourier Series to the Exponential Fourier Series and Trigonometric Fourier Series coefficients for harmonics n ± 0. (b) A signal c(t) is given as: 1 Nnt c(t) =, + E Cn cos(,) n=1 n=odd (i) Find the coefficients of the first two harmonics of Exponential Fourier Series. Given that a =_ and b = 0. n 2 n (ii) Sketch the magnitude and phase for the answer in the Q1(b)(i). 8

(a) Explain in brief the relation between magnitude and phase of Amplitude-Phase Fourier Series to the Exponential Fourier Series and Trigonometric Fourier Series coefficients for harmonics n ± 0. (b) A signal c(t) is given as: 1 Nnt c(t) =, + E Cn cos(,) n=1 n=odd (i) Find the coefficients of the first two harmonics of Exponential Fourier Series. Given that a =_ and b = 0. n 2 n (ii) Sketch the magnitude and phase for the answer in the Q1(b)(i). 8

Introductory Circuit Analysis (13th Edition)
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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Q1 (a) Explain in brief the relation between magnitude and phase of Amplitude-Phase Fourier Series to the Exponential Fourier Series and Trigonometric Fourier Series coefficients for harmonics n + 0. (b) A signal c(t) is given as: 1 nnt c(t) =,+ E Cn cos( 2 n=1 n=odd (i) Find the coefficients of the first two harmonics of Exponential Fourier Series. Given that a = _ and b = 0. n 2 (ii) Sketch the magnitude and phase for the answer in the Q1(b)(i).
Transcribed Image Text:Q1 (a) Explain in brief the relation between magnitude and phase of Amplitude-Phase Fourier Series to the Exponential Fourier Series and Trigonometric Fourier Series coefficients for harmonics n + 0. (b) A signal c(t) is given as: 1 nnt c(t) =,+ E Cn cos( 2 n=1 n=odd (i) Find the coefficients of the first two harmonics of Exponential Fourier Series. Given that a = _ and b = 0. n 2 (ii) Sketch the magnitude and phase for the answer in the Q1(b)(i).
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