Shortcuts, *, center=None, tau=1.0, sym=True, dtype=None, layout=torch.strided, device=None, requires_grad=False)[source]

Computes a window with an exponential waveform. Also known as Poisson window.

The exponential window is defined as follows:

wn=exp(ncτ)w_n = \exp{\left(-\frac{|n - c|}{\tau}\right)}

where c is the center of the window.

The window is normalized to 1 (maximum value is 1). However, the 1 doesn’t appear if M is even and sym is True.


M (int) – the length of the window. In other words, the number of points of the returned window.

Keyword Arguments
  • center (float, optional) – where the center of the window will be located. Default: M / 2 if sym is False, else (M - 1) / 2.

  • tau (float, optional) – the decay value. Tau is generally associated with a percentage, that means, that the value should vary within the interval (0, 100]. If tau is 100, it is considered the uniform window. Default: 1.0.

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

  • dtype (torch.dtype, optional) – the desired data type of returned tensor. Default: if None, uses a global default (see torch.set_default_dtype()).

  • layout (torch.layout, optional) – the desired layout of returned Tensor. Default: torch.strided.

  • device (torch.device, optional) – the desired device of returned tensor. Default: if None, uses the current device for the default tensor type (see torch.set_default_device()). device will be the CPU for CPU tensor types and the current CUDA device for CUDA tensor types.

  • requires_grad (bool, optional) – If autograd should record operations on the returned tensor. Default: False.

Return type



>>> # Generates a symmetric exponential window of size 10 and with a decay value of 1.0.
>>> # The center will be at (M - 1) / 2, where M is 10.
tensor([0.0111, 0.0302, 0.0821, 0.2231, 0.6065, 0.6065, 0.2231, 0.0821, 0.0302, 0.0111])

>>> # Generates a periodic exponential window and decay factor equal to .5
>>>, sym=False,tau=.5)
tensor([4.5400e-05, 3.3546e-04, 2.4788e-03, 1.8316e-02, 1.3534e-01, 1.0000e+00, 1.3534e-01, 1.8316e-02, 2.4788e-03, 3.3546e-04])


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