Signal Processing Toolbox™

gausswin - Gaussian window

Syntax

w = gausswin(L)
w = gausswin(L,α)

Description

w = gausswin(L) returns an L-point Gaussian window in the column vector w. L is a positive integer. The coefficients of a Gaussian window are computed from the following equation.

where , and the window length is

w = gausswin(L,α) returns an L-point Gaussian window where α is the reciprocal of the standard deviation. The width of the window is inversely related to the value of α; a larger value of α produces a more narrow window. If α is omitted, it defaults to 2.5.

Note   If the window appears to be clipped, increase the number of points (L) used for gausswin(n).

Examples

Create a 64-point Gaussian window and display the result in WVTool:

L=64;
wvtool(gausswin(L))

Note   The shape of this window is similar in the frequency domain because the Fourier transform of a Gaussian is also a Gaussian.

References

[1] Harris, F.J. "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform." Proceedings of the IEEE^®. Vol. 66, No. 1 (January 1978).

[2] Roberts, Richard A., and C.T. Mullis. Digital Signal Processing. Reading, MA: Addison-Wesley, 1987, pp. 135-136.

See Also

chebwin, kaiser, tukeywin, window, wintool, wvtool

gaussfir

gmonopuls