Fourier Series Alternative Forms
Cuthbert Nyack
The general form of the Fourier series is shown below. Because
of the relation between sines and cosines, the series can be represented
as a sum of either sines or cosines.
Normalising the coefficients gives:-
The above expression can be represented by either of the
following alternative forms of the Fourier Series.
The 2 variables an and bn has been
replaced by cn (cn2 =
an2 + bn2 ) and qn
or fn.
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COPYRIGHT © 1996 Cuthbert Nyack.