2
$\begingroup$

I am new user of Mathematica, sorry if my question odd.

I not understanding, how to Mathematica apply the discrete Fourier transform for matrix:

Print[Fourier[{{-50, 50}, {50, 50}, {50, -50}}]];
(*Result is:
{{40.8248 +0. I,0. +0. I},
{-20.4124+35.3553 I,-61.2372-35.3553 I},
{-20.4124-35.3553 I,-61.2372+35.3553 I}}
*)

Can you explain the step-by-step execution of this program using only Fourier for 1-d lists?

$\endgroup$
  • $\begingroup$ Check out Fourier in the docs. You may also want to look into a tutorial for new users - this is a good resource. $\endgroup$ – N.J.Evans Oct 18 at 12:41
4
$\begingroup$

Fourier does a 2D discrete Fourier transform.

You can decompose this into the individual 1D transforms using the techniques illustrated in the following example:

M = {{-50, 50}, {50, 50}, {50, -50}};
Transpose[Fourier /@ Transpose[Fourier /@ M]] == Fourier[M]
(* True *)
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.