Wavelet Functions#

Generating Functions#
Function Name	Description
`tiling_integrand()`	Tiling integrand for scale-discretised wavelets.
`part_scaling_fn()`	Computes Infinitely differentiable Cauchy-Schwartz function.
`k_lam()`	Computes wavelet generating function.
`tiling_direction()`	Generates harmonic coefficients for directional tiling functions.
`binomial_coefficient()`	Computes the binomial coefficient \(\binom{n}{k}\).

Wavelet Filters#
Function Name	Description
`construct_wav_lmp()`	Generate multiresolution wavelet filters.
`construct_f_wav_lmnp()`	Generate multiresolution wavelet Wigner-Laguerre coefficients for Numpy.
`construct_f_wav_lmnp_jax()`	Generate multiresolution wavelet Wigner-Laguerre coefficients for JAX.
`construct_wav_lmp()`	Compute multiresolution wavelet and scaling filters.
`tiling_axisym()`	Generates tuple of axisymmetric tiling functions.

Helper Functions#
Function Name	Description
`j_max()`	Computes the highest wavelet scale \(J_{\text{max}}\).
`radial_bandlimit()`	Computes the radial band-limit for scale \(j_p\).
`angular_bandlimit()`	Computes the angular band-limit for scale \(j_{\ell}\).
`wavelet_scale_limits()`	Computes the angular and radial band-limits for scale \(j_{\ell}/j_p\).
`wavelet_scale_limits_N()`	Computes the angular and radial band-limits and multiresolution directionality \(N_j\) for scale \(j_{\ell}/j_p\).