scipy.signal.gaussian

scipy.signal.gaussian(M, std, sym=True)[source]

Return a Gaussian window.

Parameters :

M : int

Number of points in the output window. If zero or less, an empty array is returned.

std : float

The standard deviation, sigma.

sym : bool, optional

When True, generates a symmetric window, for use in filter design. When False, generates a periodic window, for use in spectral analysis.

Returns :

w : ndarray

The window, with the maximum value normalized to 1 (though the value 1 does not appear if the number of samples is even and sym is True).

Notes

The Gaussian window is defined as

w(n) = e^{ -\frac{1}{2}\left(\frac{n}{\sigma}\right)^2 }

Examples

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