11.10.3. astroML.fourier.PSD_continuous¶

astroML.fourier.PSD_continuous(t, h, axis=- 1, method=1)[source]¶

Approximate a continuous 1D Power Spectral Density of sampled data.

This function uses the Fast Fourier Transform to approximate the continuous fourier transform of a sampled function, using the convention

$H(f) = \int h(t) \exp(-2 \pi i f t) dt$

It returns f and PSD, which approximate PSD(f) where

$PSD(f) = |H(f)|^2 + |H(-f)|^2$

Parameters

tarray_like: regularly sampled array of times t is assumed to be regularly spaced, i.e. t = t0 + Dt * np.arange(N)
harray_like: real or complex signal at each time
axisint: axis along which to perform fourier transform. This axis must be the same length as t.

Returns

fndarray: frequencies of result. Units are the same as 1/t
PSDndarray: Fourier coefficients at each frequency.

11.10.2. astroML.fourier.IFT_continuous 11.10.4. astroML.fourier.wavelet_PSD