This can be written in the following form by combining the cosine and sine
contributions for a particular harmonic order n using trigonometric identities.
(13.3-2)
13.4 CONDITIONS FOR EXISTENCE OF FOURIER SERIES
The exponential and trigonometric Fourier series exists for all v(t) which satisfy a set of
conditions known as Dirichlet’s conditions (see side-box).
There are functions that violate one or more of Dirichlet’s conditions. But they do
not come up in Electrical Circuits. Hence, we can safely assert that all waveforms we
encounter in physical circuits will satisfy these conditions.
If v(t) satisfies all the Dirichlet’s conditions, its Fourier series ...
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