Timoney, Joseph and Lysaght, Thomas and Lazzarini, Victor and Gao, Ruiyao (2009) Computing Modified Bessel functions with large Modulation Index for Sound Synthesis Applications. In: 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. ISBN 9780901519672

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Abstract

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 solution.

Item Type:	Book Section
Additional Information:	Victor Lazzarini would like to acknowledge the funding support given by An Foras Feasa for this work.
Keywords:	Modified Bessel functions; numerical overflow; Maxstar algorithm;
Academic Unit:	Faculty of Science and Engineering > Computer Science
Item ID:	2552
Depositing User:	CS Editor
Date Deposited:	01 Jun 2011 15:42
Publisher:	Dept. of Computer Science, National University of Ireland, Maynooth
Refereed:	Yes
URI:	http://elm.eeng.dcu.ie/ciict/2009/procee...
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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