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Parzen (de la Vallée Poussin) window



w = parzenwin(L) returns the L-point Parzen (de la Vallée Poussin) window.


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

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

{"String":"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.","Tex":["Time domain","Frequency domain"],"LaTex":[]}

Input Arguments

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Window length, specified as a real positive scalar.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Output Arguments

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Parzen window, returned as a column vector of length L. For the equation that defines the Parzen window, see Algorithms.


Parzen windows are piecewise-cubic approximations of Gaussian windows. Parzen window sidelobes fall off as 1/ω4.

This 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™.

Version History

Introduced before R2006a