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nuttallwin

Nuttall-defined minimum 4-term Blackman-Harris window

Syntax

w = nuttallwin(N)
w = nuttalwin(N,SFLAG)

Description

w = nuttallwin(N) returns a Nuttall defined 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 = nuttalwin(N,SFLAG) uses SFLAG window sampling. SFLAG can be 'symmetric' or 'periodic'. The default is 'symmetric'. You can find the equations defining the symmetric and periodic windows in Definitions.

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
```

Definitions

The equation for the symmetric Nuttall defined 4-term Blackman-Harris window is

where n= 0,1,2, ... N-1.

The equation for the periodic Nuttall defined 4-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

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.