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bohmanwin

Syntax

w = bohmanwin(L)

Description

w = bohmanwin(L) returns an L-point Bohman window in column vector w. A Bohman window is the convolution of two half-duration cosine lobes. In the time domain, it is the product of a triangular window and a single cycle of a cosine with a term added to set the first derivative to zero at the boundary. Bohman windows fall off as 1/w4.

Examples

collapse all

Compute a 64-point Bohman window. Display the result using wvtool.

L = 64;
bw = bohmanwin(L);
wvtool(bw)

Algorithms

The equation for computing the coefficients of a Bohman window is

w(x)=(1|x|)cos(π|x|)+1πsin(π|x|),1x1

where x is a length-L vector of linearly spaced values generated using linspace. The first and last elements of the Bohman window are forced to be identically zero.

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

Introduced before R2006a

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