Fourier Series Applet, Square to Triangle
Cuthbert Nyack
The diagram below shows the signal examined here. As "a" changes
from 0 to 0.25 the signal changes from a square wave to a
triangle wave.
In the Applet below the spectrum change as the wave changes from a
square wave to a triangle wave can be seen. The convergence of the
series can also be studied as "a" changes. Having a wave with
"rounded" edges reduces its bandwidth.
The Fourier series coefficient an is given by:-
For a = 0.01, 39 terms give a good approximation.
For a = 0.02, 21 terms give a good approximation.
For a = 0.03, 15 terms give a good approximation.
For a = 0.06, 9 terms give a good approximation.
When activated the following gif image show how the applet should appear.
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COPYRIGHT © 1996 Cuthbert Nyack.