Fourier Series, Even and odd Functions
Cuthbert Nyack
In this page, the decomposition of the Fourier series
into even and odd parts is studied.
Any Function can be represented by a sum of
even and odd parts
.
The even part can be represented by the Fourier Series
and the odd part can be represented by the Fourier Series.
A simple example is shown below.
Other examples can be seen by changing the parameters in the
applet below. The pulse is in purple, its even part in red
and its odd part in orange. The oscillations on the even and odd
parts are artefacts of the way they are calculated.
When activated the following gif image show how the applet should appear.
Return to main page
Return to page index
COPYRIGHT © 1996 Cuthbert Nyack.