Fuzzy Granular Synthesis Controlled by Walsh Functions

Adolfo Maia Jr.

Departamento de Matematica Aplicada, IMECC
Núcleo Interdisciplinar de Comunicação Sonora (NICS), UNICAMP
13.081-970, Campinas, SP, Brazil.

Eduardo R. Miranda

Computer Music Research, Faculty of Technology University of Plymouth
Plymouth, Devon PL4 8AA United Kingdom.


In this paper we present a model for granular synthesis in which the internal content (spectrum) of grains are defined as Fuzzy Sets. Markov Chains modulated by Membership Matrices related to the internal structure of the sound grains are used to control the evolution of the sound in time. The final sequencing of grains (sound stream) is controlled by the so called Walsh Functions. Using a number of channels the outputs may have complex polyphonic sound structures. We also provide the mathematical foundations of the model.

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