| Definition | |
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For a periodic function  The Fourier Coefficients  where
Also Note that the above integration interval from -
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Important: For non-periodic functions, one can argue that they are periodic with
an infinite period, that is, |
with
fundamental period 
, the corresponding Fourier Series representation is given by:
and 
can be determined from the following integrals:
can be interpreted as
the average value of 
.
to
at point 
where both the left-hand and right-hand first derivatives of 
. The Fourier Series then
becomes the | Complex Form of Fourier Series |
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If one uses the complex forms
of  where:  |
and 
, the
Fourier Series of function | Fourier Series of Selected Functions | |||||||||||||||||||
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