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f(t) M Consider the periodic wave shown above given by S(1) (l+nT) = = T-t S(l), 0

f(t) M Consider the periodic wave shown above given by S(1) (l+nT) = = T-t S(l), 0

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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f(t) M Consider the periodic wave shown above given by S(1) (l+nT) = = T-t S(l), 0<t<T n, -2, -1, 0, 1, 2, ... else which is known as a "sawtooth wave". Its period is T = 2 s. (a) Give the fundamental frequency wo of f(t), in rad/s. (b) Find the co, c₁, and c-1 coefficients of the complex Fourier Series where S(L) = Σ Cneinwot T Cn (l)e-inwat dl. (Hint: teateat (at - 1) for a 0) = (c) The first three harmonics of this Fourier Series (corresponding to c1, c2, and c3) are used to drive a transfer function (s) consisting of a single pole at p = -6, that is II(s) - three is amplified the most? = 8+6° Which of the
Transcribed Image Text:f(t) M Consider the periodic wave shown above given by S(1) (l+nT) = = T-t S(l), 0<t<T n, -2, -1, 0, 1, 2, ... else which is known as a "sawtooth wave". Its period is T = 2 s. (a) Give the fundamental frequency wo of f(t), in rad/s. (b) Find the co, c₁, and c-1 coefficients of the complex Fourier Series where S(L) = Σ Cneinwot T Cn (l)e-inwat dl. (Hint: teateat (at - 1) for a 0) = (c) The first three harmonics of this Fourier Series (corresponding to c1, c2, and c3) are used to drive a transfer function (s) consisting of a single pole at p = -6, that is II(s) - three is amplified the most? = 8+6° Which of the
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