Timoney, Joseph and Lysaght, Thomas and Lazzarini, Victor and Gao, Ruiyao
Computing Modified Bessel functions with large
Modulation Index for Sound Synthesis Applications.
CIICT 2009 : proceedings of the China-Ireland information and communications technologies conference.
Dept. of Computer Science, National University of Ireland, Maynooth, Co. Kildare, Ireland, pp. 52-55.
Ordinary Bessel functions are a common function
used when examining the spectral properties of frequency
modulated signals, particularly in sound synthesis applications.
Recently, it was shown that modified Bessel functions can also
be used for sound synthesis. However, to limit the impact of
aliasing distortion when using these functions, it is essential to
set an upper limit on the frequency-dependent modulation
index used when computing these functions. However, it can
be impossible to do this beyond a certain threshold when using
standard mathematical software tools such as Matlab, or the
scientific toolbox of the Python language, because of numerical
overflow issues. This short paper presents an approach to
overcome this limitation using the MaxStar algorithm. Results
are also presented to demonstrate the usefulness of this
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