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Parzen (de la Vallée Poussin) window


w = parzenwin(L)


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 Algorithms for the equation that defines the Parzen window.


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

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

Figure Window Visualization Tool contains 2 axes objects and other objects of type uimenu, uitoolbar, uipanel. Axes object 1 with title Time domain contains 2 objects of type line. Axes object 2 with title Frequency domain contains 2 objects of type line.


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



[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.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Introduced before R2006a