FOURIER SERIES OF A TRIANGULAR-WAVE

The Fourier series of a triangular-wave is given by [Kamen-Heck, pp.148]:

ftriangular(t) = 1 - {2*L^2/pi^2}*{ (1/1^2)*cos(pi*x/L) + (1/3^2)*cos(3*pi*x/L)  + ... }

where L is the half-period of the triangle (L=2). The following applet shows how this approximation works. Use the slider to vary the number of terms in the approximation and see what happens. Try to explain why do we get fast convergence. 


                   

 

This file was last edited on:  04-Jun-01