Fourier Question
- To: mathgroup at smc.vnet.net
- Subject: [mg25623] Fourier Question
- From: xxx at uunet.uu.net
- Date: Mon, 16 Oct 2000 03:04:43 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello. I am reading a few books on Fourier Analysis, and I am stuck on
understanding a few concepts.
I was hoping someone who uses this function in Mathematica could point me in
the right direction.
To make it simple, suppose I have 4 sample points:
data = {1, 3, 2, 4}
Fourier[data, FourierParameters -> {-1, 1}] // Chop
This returns:
{2.5, -0.25 - 0.25 \[ImaginaryI], -1., -0.25 + 0.25 \[ImaginaryI]}
I am not sure how to interpret the results.
The best I understand is:
results = 2.5 + (-.25-.25 I ) Cos[1 t] -1 Sin [ 1 t] + (-.25 + .25 I Cos
2 t]...
As you can tell, I am sure this is not correct.
Could someone point me in the right direction. I am sure I will figure it
out from there once I understand how the results are used.
I am using FourierParameters -> {-1, 1} because I am mostly doing data
analysis.
Thank you in advance for any insight. Dana.