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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