Math/Eng: How do you find an equation from a graphical signal?

misle

Diamond Member
Nov 30, 2000
3,371
0
76
I have a Fourier Series problem, but we were just given a graph, no equation.

The signal is periodic with a period of T
Max and min amplitudes are A & -A

I can't scan it in, so here is what I've figured out:
=A for 0 < t < T/3
=0 for T/3 < t < 2T/3
=-A for 2T/3 < t < T

then repeats. It looks like a broken square wave. If needed I could probably take a picture of it and post it.

How do I determine an equation? It should be something like A(X)(nwt) where n is number, w is omega - angular frequency and t is time.

Help!
 

mAdD INDIAN

Diamond Member
Oct 11, 1999
7,804
1
0
isn't that heavyside function? well thats more of a pulse...which seems to be what your describing.
 

silverpig

Lifer
Jul 29, 2001
27,703
12
81
Mathworld should be able to tell you the exact steps in the integration. I'm too lazy to type :)
 

TuxDave

Lifer
Oct 8, 2002
10,571
3
71
You can look at it as a summation of two pulse trains, each with a period T and an amplitude of A or -A with one of them delayed by T/3. You can then find the fourier series of a pulse train. Ya?