gausswin (Signal Processing Toolbox)

Gaussian window

Syntax

```
w = gausswin(n)
w = gausswin(n,)
```

Description

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

where and .

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

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

Examples

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

```
N=64;
wvtool(gausswin(N))
```

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

See Also

chebwin, kaiser, tukeywin, window, wintool, wvtool

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.

gaussfir gmonopuls