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Fourier Series (FS) and Relation to DFT
In continuous time, a periodic signal
, with period
seconds,^{B.2} may be expanded
into a Fourier series with coefficients given by

(B.5) 
where
is the
th harmonic frequency
(rad/sec). The generally complex value
is called the
th Fourier series coefficient. The normalization by
is optional, but often included to make the Fourier series
coefficients independent of the fundamental frequency
, and
thereby depend only on the shape of one period of the time
waveform.
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