scipy.fft.fftfreq#

scipy.fft.fftfreq(n, d=1.0, *, xp=None, device=None)[source]#

Return the Discrete Fourier Transform sample frequencies.

The returned float array f contains the frequency bin centers in cycles per unit of the sample spacing (with zero at the start). For instance, if the sample spacing is in seconds, then the frequency unit is cycles/second.

Given a window length n and a sample spacing d:

f = [0, 1, ...,   n/2-1,     -n/2, ..., -1] / (d*n)   if n is even
f = [0, 1, ..., (n-1)/2, -(n-1)/2, ..., -1] / (d*n)   if n is odd

Parameters:

nint: Window length.
dscalar, optional: Sample spacing (inverse of the sampling rate). Defaults to 1.
xparray_namespace, optional: The namespace for the return array. Default is None, where NumPy is used.
devicedevice, optional: The device for the return array. Only valid when xp.fft.fftfreq implements the device parameter.

Returns:

fndarray: Array of length n containing the sample frequencies.

Examples

>>> import numpy as np
>>> import scipy.fft
>>> signal = np.array([-2, 8, 6, 4, 1, 0, 3, 5], dtype=float)
>>> fourier = scipy.fft.fft(signal)
>>> n = signal.size
>>> timestep = 0.1
>>> freq = scipy.fft.fftfreq(n, d=timestep)
>>> freq
array([ 0.  ,  1.25,  2.5 , ..., -3.75, -2.5 , -1.25])