Nuttall-defined minimum 4-term Blackman-Harris window
w = nuttallwin(N)
w = nuttallwin(N,SFLAG)
returns a Nuttall defined
w = nuttallwin(
N-point, 4-term symmetric 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.
w = nuttallwin(N,
SFLAG window sampling.
SFLAG can be
'periodic'. The default is
'symmetric'. You can find the equations defining the symmetric
and periodic windows in Algorithms.
Compare 64-point Nuttall and Blackman-Harris windows. Plot them using
L = 64; w = blackmanharris(L); y = nuttallwin(L); wvtool(w,y)
Compute the maximum difference between the two windows.
ans = 0.0099
The equation for the symmetric Nuttall defined four-term Blackman-Harris window is
where n= 0,1,2, ... N-1.
The equation for the periodic Nuttall defined four-term Blackman-Harris window is
where n= 0,1,2, ... N-1. The periodic window is N-periodic.
The coefficients for this window are
a0 = 0.3635819
a1 = 0.4891775
a2 = 0.1365995
a3 = .0106411
 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.