itfitzme
VIP Member
- Jan 29, 2012
- 5,186
- 393
There's a graphical example to help you visualize the actual addition of Fourier components to make a square wave approx.. Nothing to do with correlation actually.. EVERY data vector has a Fourier component synthesis.
Yeah, so, like I said, I did that on my TI-89. I did it in discrete format, correlating the sine and cosine functions to a square wave. The Fourier constants are correlating factors of the set of sine and cosine functions.
If A*B = C*B then A = C. It is really that simple.
And if you had half a brain, as you claim you do, you should have no problem determining the components that are equivalent between the Fourier transform and the correlation equation. Heck, I did the hard part for you, I presented the correlation equation in integral form.