4.6.16 pde.tools.spectral module
Functions making use of spectral decompositions.
Return a function creating an array of random values that obey. |
- make_colored_noise(shape, dx=1.0, exponent=0, scale=1, rng=None)[source]
Return a function creating an array of random values that obey.
\[\langle c(\boldsymbol k) c(\boldsymbol k’) \rangle = \Gamma^2 |\boldsymbol k|^\nu \delta(\boldsymbol k-\boldsymbol k’)\]in spectral space on a Cartesian grid. The special case \(\nu = 0\) corresponds to white noise. For simplicity, the correlations respect periodic boundary conditions.
- Parameters:
shape (tuple of ints) – Number of supports points in each spatial dimension. The number of the list defines the spatial dimension.
dx (float or list of floats) – Discretization along each dimension. A uniform discretization in each direction can be indicated by a single number.
exponent (float) – Exponent \(\nu\) of the power spectrum
scale (float) – Scaling factor \(\Gamma\) determining noise strength
rng (
Generator) – Random number generator (default:default_rng())
- Returns:
a function returning a random realization
- Return type:
callable