Learn more about Signal Processing Toolbox

nuttallwin - Nuttall-defined minimum 4-term Blackman-Harris window

Syntax

w = nuttallwin(L)

Description

w = nuttallwin(L) returns a minimum, L-point, 4-term Blackman-Harris window in the column vector w. The window is minimum in the sense that its maximum sidelobes are minimized. The coefficients for this window differ from the Blackman-Harris window coefficients computed with blackmanharris and produce slightly lower sidelobes.

Examples

Compare 64-point Blackman-Harris and Nuttall's Blackman-Harris windows and plot them using WVTool:

L = 64;
w = blackmanharris(L);
y = nuttallwin(L);
wvtool(w,y)

The maximum difference between the two windows is

max(abs(y-w))

ans =

    0.0099

Algorithm

The equation for computing the coefficients of a minimum 4-term Blackman-Harris window, according to Nuttall, is

where and the window length is .

The coefficients for this window are

a₀ = 0.3635819

a₁ = 0.4891775

a₂ = 0.1365995

a₃ = .0106411

References

[1] Nuttall, Albert H. "Some Windows with Very Good Sidelobe Behavior." IEEE Transactions on Acoustics, Speech, and Signal Processing. Vol. ASSP-29 (February 1981). pp. 84-91.