needlets.standardneedlet

standardneedlet(B, j, lmax)[source]

Return the needlet filter b(l) for a standard needlet with parameters B and j.

Parameters

  • B (float) – The parameter B of the needlet, should be larger that 1.

  • j (int or np.ndarray) – The frequency j of the needlet. Can be an array with the values of j to be calculated.

  • lmax (int) – The maximum value of the multipole l for which the filter will be calculated (included).

Returns

A numpy array containing the values of a needlet filter b(l), starting with l=0. If j is an array, it returns an array containing the filters for each frequency.

Return type

np.ndarray

Note

Standard needlets are always normalised by construction: the sum (in frequencies j) of the squares of the filters will be 1 for all multipole ell.