Fast Additive Sound Synthesis Using Polynomials

Matthias Robine (1) , Robert Strandh (1) , Sylvain Marchand (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

This paper presents a new fast sound synthesis method using polynomials. This is an additive method, where polynomials are used to approximate sine functions. Traditional additive synthe- sis requires each sample to be generated for each partial oscillator. Then all these partial samples are summed up to obtain the result- ing sound sample, thus making the synthesis time proportional to the product of the number of oscillators and the sampling rate. By using polynomial approximations, we instead sum up only the os- cillator coefficients and then generate directly the sound sample from these new coefficients. Most of computation time is con- sumed by a data structure that manages the update of the generator coefficients as a priority queue. Practical implementations show that Polynomial Additive Sound Synthesis (PASS) is particularly efficient for low-frequency signals

Domaines: Autre [cs.OH]

Matthias Robine, Robert Strandh, Sylvain Marchand. Fast Additive Sound Synthesis Using Polynomials. Digital Audio Effects (DAFx06) Conference, Sep 2006, Montréal, Canada. pp.181--186. ⟨hal-00307931⟩