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blackmanharris

Minimum four-term Blackman-Harris window

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Syntax

w = blackmanharris(N)
w = blackmanharris(N,sflag)

Description

example

w= blackmanharris(N)returns anN-point symmetric four-term Blackman-Harris window.

w= blackmanharris(N,sflag)returns a Blackman-Harris window using the window sampling method specified bysflag.

Examples

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Open Live Script

Create a 32-point symmetric Blackman-Harris window. Display the result usingwvtool.

N = 32; wvtool(blackmanharris(N))

Input Arguments

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Window length, specified as a positive integer.

Data Types:single|double

Window sampling method, specified as:

  • '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, the function computes a window of lengthL+ 1 and returns the firstLpoints.

Output Arguments

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Blackman-Harris window, returned as a column vector.

Algorithms

The equation for the symmetric four-term Blackman-Harris window of lengthNis

w ( n ) = a 0 − a 1 cos ( 2 π n N − 1 ) + a 2 cos ( 4 π n N − 1 ) − a 3 cos ( 6 π n N − 1 ) , 0 ≤ n ≤ N − 1

The equation for the periodic four-term Blackman-Harris window of lengthNis

w ( n ) = a 0 − a 1 cos 2 π n N + a 2 cos 4 π n N − a 3 cos 6 π n N , 0 ≤ n ≤ N − 1

The periodic window isN-periodic.

Coefficient Value
a0 0.35875
a1 0.48829
a2 0.14128
a3 0.01168

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.

Extended Capabilities

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

See Also

Apps

Functions

Introduced before R2006a

Signal Processing Toolbox Documentation
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