pymc.gp.cov.Matern52.power_spectral_density

Matern52.power_spectral_density(omega)

The power spectral density for the Matern52 kernel is:

\[S(\boldsymbol\omega) = \frac{2^D \pi^{\frac{D}{2}} \Gamma(\frac{D+5}{2}) 5^{5/2}} {\frac{3}{4}\sqrt{\pi}} \prod_{i=1}^{D}\ell_{i} \left(5 + \sum_{i=1}^{D}\ell_{i}^2 \boldsymbol\omega_{i}^{2}\right)^{-\frac{D+5}{2}}\]