Fourier Series For A Square Wave - HP 50g User Manual

From the plot it is very difficult to distinguish the original function from the
Fourier series approximation. Using k = 2, or 5 terms in the series, shows not so
good a fitting:
The Fourier series can be used to generate a periodic triangular wave (or saw
tooth wave) by changing the horizontal axis range, for example, from –2 to 4.
The graph shown below uses k = 5:

Fourier series for a square wave

A square wave can be generated by using the function
, 0 if
⎧
⎪
g ( x ) , 1 if
⎨
⎪
, 0 if
⎩
0 x 1
1 x 3
3 x 4
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