#### Kaiser Window Beta Parameter

The
parameter of the Kaiser window provides a convenient
continuous control over the fundamental window trade-off between
side-lobe level and main-lobe width. Larger
values give lower
side-lobe levels, but at the price of a wider main lobe. As discussed
in §5.4.1, widening the main lobe reduces
*frequency resolution* when the window is used for spectrum
analysis. As explored in Chapter 9, reducing the side lobes reduces ``channel cross
talk'' in an FFT-based filter-bank implementation.

The Kaiser beta parameter can be interpreted as 1/4 of the
``time-bandwidth product''
of the window
in radians (seconds times radians-per-second).^{4.13} Sometimes the Kaiser window is
parametrized by
instead of
. The
parameter is therefore half the window's time-bandwidth
product
in cycles (seconds times
cycles-per-second).

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Kaiser Windows and Transforms

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