Mathematical modeling of harmonic-timbre structure with multi-beta-distribution

A large amount of signal processing technology research on applications associated with music is being carried out. Sound synthesis, in particular, is one of the most interesting research themes. In this paper we propose a new approach to mathematically modeling harmonic-timbre structure with multi-beta-distribution (MBD). This probabilistic distribution has the advantage of enabling one to easily express varied timbre-structure with only a few parameters. We will define MBD itself, and present a method of estimating MBD parameters. Some experimental results are presented to discuss the performance of this method.