Website owner: James Miller
Problem. Find the Fourier series representation for the periodic function of period T defined by
2) f(t + T) = f(t)
shown in Fig. 1.
Solution. The Fourier series representation is given by
where
Evaluation of an
= 0 for n ≠ 0
For n = 0,
since the average value of f(t) over a period is zero.
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Evaluation of bn
Since cos nπ = (-1)n
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Thus
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