# torch.kaiser_window¶

torch.kaiser_window(window_length, periodic=True, beta=12.0, *, dtype=None, layout=torch.strided, device=None, requires_grad=False)Tensor

Computes the Kaiser window with window length window_length and shape parameter beta.

Let I_0 be the zeroth order modified Bessel function of the first kind (see torch.i0()) and N = L - 1 if periodic is False and L if periodic is True, where L is the window_length. This function computes:

$out_i = I_0 \left( \beta \sqrt{1 - \left( {\frac{i - N/2}{N/2}} \right) ^2 } \right) / I_0( \beta )$

Calling torch.kaiser_window(L, B, periodic=True) is equivalent to calling torch.kaiser_window(L + 1, B, periodic=False)[:-1]). The periodic argument is intended as a helpful shorthand to produce a periodic window as input to functions like torch.stft().

Note

If window_length is one, then the returned window is a single element tensor containing a one.

Parameters
• window_length (int) – length of the window.

• periodic (bool, optional) – If True, returns a periodic window suitable for use in spectral analysis. If False, returns a symmetric window suitable for use in filter design.

• beta (float, optional) – shape parameter for the window.

Keyword Arguments