b) Another periodic waveform is defined by St 0st< 9(t) = T. with g(t+ mT) (i) g(t) and m is an integer. Sketch g(t) over two full cycles in the time domain, labelling the %3D ахes. for (ii) Derive the formulae for the complex Fourier coefficients cn aft)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Part b only
()
Write down the real Fourier series for f(t), including the first five
non-zero terms.
Sketch the coefficlent spectrum of f(t) (plot b, against n,
(Iv)
including the components up to n = 5), labelling the axes.
b)
Another periodic waveform is defined by
T.
St
with g(t + mT) = g(t) and m is an integer.
(1)
Sketch g(t) over two full cycles in the time domain, labelling the
axes.
Derive the formulae for the complex Fourier coefficients c, for
g(t).
(ii)
For a periodic waveform h(t), if its complex Fourier coefficients are
57
57
2n-r*
5T
when n is odd
ST
4nm
when n is even and not zero
TOYeorm h(t), if its complex Fourier coefficients are
Transcribed Image Text:() Write down the real Fourier series for f(t), including the first five non-zero terms. Sketch the coefficlent spectrum of f(t) (plot b, against n, (Iv) including the components up to n = 5), labelling the axes. b) Another periodic waveform is defined by T. St with g(t + mT) = g(t) and m is an integer. (1) Sketch g(t) over two full cycles in the time domain, labelling the axes. Derive the formulae for the complex Fourier coefficients c, for g(t). (ii) For a periodic waveform h(t), if its complex Fourier coefficients are 57 57 2n-r* 5T when n is odd ST 4nm when n is even and not zero TOYeorm h(t), if its complex Fourier coefficients are
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