comparison four.m @ 820:501750fbbfdb

Merge with feature/grids
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 07 Sep 2018 14:40:58 +0200
parents f6ada1719420
children
comparison
equal deleted inserted replaced
819:fdf0ef9150f4 820:501750fbbfdb
1 % four returns the fourier transform u_hat of the function u and the frequencies w
2 function [w, u_hat] = four(x, u)
3 u_hat = fft(u);
4
5 N = length(x);
6 L = x(end) - x(1);
7
8 k = shift_k(0:N-1);
9
10 u_hat = fftshift(u_hat);
11
12 dw = 2*pi/L;
13 w = dw*k;
14 end
15
16 function k_shifted = shift_k(k)
17 N = length(k);
18 k_shifted = [-floor(N/2):-1, 0, 1:ceil(N/2)-1];
19 end