Kaiser Bessel Window

An amplitude weighting of the time signal used with gated continuous signals to give them a slow onset and cut-off in order to reduce the generation of side lobes in their frequency spectrum.

The Kaiser-Bessel window is superior to other windows with respect to selectivity. This is mainly due to the low level of the highest sidelobe, which is found at -67dB.

amplitude correction = 2.4875, energy correction = 1.8556

Due to the excellent selectivity, the main use of the Kaiser-Bessel window is for two-tone separation of closely spaced frequency components with widely different levels e.g. it would be possible to analyse two sinusoids separated by a 40dB difference in level and six times the line spacing in frequency.

The disadvantage is for system analysis using random excitation, as the window will cause more leakage than a Hanning window at resonances and anti-resonances, due to its wider bandwidth.

In the time domain this function is shown below:

The frequency response of this window is shown along with that of a rectangular window for comparison:

See also: Fast Fourier Transform, Hanning Window, Windowing.

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Subjects: Signal Processing