Implementation of the Discrete Fourier Transform in Python, for reference.

```
from numpy import *
def dft(x):
"""
My implementation of the discrete fourier transform
"""
N = shape(x)[1]
print "x", shape(x)
k = arange(0, N)
k.shape = N, 1
n = arange(0, N)
W = zeros((N, N), complex)
# don't forget to make it a complex number array!
for n in range(N):
for k in range(N):
W[n,k] = exp(-1j * n * k * 2.0 * pi/N)
X = asmatrix(x) * asmatrix(W)
return X
```