nuttallwin (Signal Processing Toolbox)

Compute a minimum 4-term Blackman-Harris window, as defined by Nuttall

Syntax

```
w = nuttallwin(n)
```

Description

w = nuttallwin(n) returns a minimum, n-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:

N = 64;
w = blackmanharris(N);
y = nuttallwin(N);
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 .

The coefficients for this window are

a₀
=
0.3635819

a₁
=
0.4891775

a₂
=
0.1365995

a₃
=
0.0106411

a₀	=	0.3635819
a₁	=	0.4891775
a₂	=	0.1365995
a₃	=	0.0106411

See Also

barthannwin, bartlett, blackmanharris, bohmanwin, parzenwin, rectwin, triang, window, wintool, wvtool

References

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

modulate parzenwin