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barthannwin

Modified Bartlett-Hann window

Description

example

w = barthannwin(L) returns an L-point modified Bartlett-Hann window.

Note

The Hann window is also called the Hanning window.

Examples

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

L = 64;
wvtool(barthannwin(L))

Figure Window Visualization Tool contains 2 axes objects and other objects of type uimenu, uitoolbar, uipanel. Axes object 1 with title Time domain, xlabel Samples, ylabel Amplitude contains an object of type line. Axes object 2 with title Frequency domain, xlabel Normalized Frequency (\times\pi rad/sample), ylabel Magnitude (dB) contains an object of type line.

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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Modified Bartlett-Hann window, returned as a column vector of length L.

Algorithms

The equation for computing the coefficients of a Modified Bartlett-Hanning window is

w(n)=0.620.48|(nN0.5)|+0.38cos(2π(nN0.5))

where 0nN and the window length is L=N+1.

Like Bartlett, Hann, and Hamming windows, this window has a mainlobe at the origin and asymptotically decaying sidelobes on both sides. It is a linear combination of weighted Bartlett and Hann windows with near sidelobes lower than both Bartlett and Hann and with far sidelobes lower than both Bartlett and Hamming windows. The mainlobe width of the modified Bartlett-Hann window is not increased relative to either Bartlett or Hann window mainlobes.

References

[1] Ha, Y. H., and J. A. Pearce. “A New Window and Comparison to Standard Windows.” IEEE® Transactions on Acoustics, Speech, and Signal Processing. Vol. 37, Number 2, 1999, pp. 298–301.

[2] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999, p. 468.

Extended Capabilities

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

Version History

Introduced before R2006a