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Determine the trigonometric form of Fourier series of the waveform shown below.

enter image description here

Subject : Signals & Systems

Topic : Fourier Series.

Difficulty: Medium

1 Answer
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From the figure,

Period of the signal x(t) = T x(t)= {A,0<x<t 2=""\[2ex]=""a,=""amp;=""t="" 2<x<t=""<="" p="">

The trigonometric Fourier series equation is given by

x(t) = a(0) + \sum_{k=1}^∞ a(k) cos⁡(kω_O t)\ +\sum_{k=1}^∞ b(k) sin⁡(kω_O t)\

$where a(0) = 1T\int_{\ltT\gt} x(t) \, …

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