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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