aspcore.fouriertransform.dft.rdft_weighting

aspcore.fouriertransform.dft.rdft_weighting(dft_vec_len, dft_len, removed_freqs=0)

The weighting required for the real DFT to be the same as the complex DFT.

np.diag(c_diag) corresponds to C in the paper [brunnstromTimedomain2025]

Parameters:

  • dft_vec_len (int) – The number of frequencies in the resulting real-valued DFT. Technically redundant information as this is the same as dft_len // 2 + 1 - freqs_to_remove, so will not be necessary later.

  • dft_len (int) – The length of the DFT.

  • removed_freqs (int or 2-tuple of int, optional) – The number of frequencies that were remove from the lower end of the DFT. Default option is 0, which corresponds to the full real DFT. If a 2-tuple is provided, the first element is used for the lower end and the second for the upper end.

Returns:

c_diag

Return type:

np.ndarray of shape (num_freqs,)