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Hann (Hanning) window



w = hann(L) returns an L-point symmetric Hann window.

w = hann(L,sflag) returns a Hann window using the window sampling specified by sflag.


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Create a 64-point Hann window. Display the result using wvtool.

L = 64;

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

Input Arguments

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Window length, specified as a positive integer.

Data Types: single | double

Window sampling, specified as one of the following:

  • 'symmetric' — Use this option when using windows for filter design.

  • 'periodic' — This option is useful for spectral analysis because it enables a windowed signal to have the perfect periodic extension implicit in the discrete Fourier transform. When 'periodic' is specified, hann computes a window of length L + 1 and returns the first L points.

Output Arguments

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Hann window, returned as a column vector.


The following equation generates the coefficients of a Hann window:


The window length L = N + 1.


[1] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999.

Extended Capabilities

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

Introduced before R2006a