parzenwin

Parzen (de la Vallée Poussin) window

Syntax

w = parzenwin(L)

Description

w = parzenwin(L) returns the L-point Parzen (de la Vallée Poussin) window in a column vector, w. Parzen windows are piecewise-cubic approximations of Gaussian windows. Parzen window sidelobes fall off as 1/ω4. See Definitions for the equation that defines the Parzen window.

Examples

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Parzen and Gaussian Windows

Compare 64-point Parzen and Gaussian windows. Display the result using wvtool.

gw = gausswin(64);
pw = parzenwin(64);
wvtool(gw,pw)

Definitions

The following equation defines the N–point Parzen window over the interval (N1)2n(N1)2:

w(n)={16(|n|N/2)2+6(|n|N/2)30|n|(N1)/42(1|n|N/2)3(N1)/4<|n|(N1)/2

References

[1] Harris, Fredric J. "On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform." Proceedings of the IEEE®. Vol. 66, January 1978, pp. 51–83.

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