Elimination of delay-free loops in discrete-time models of nonlinear acoustic systems

Author

Borin, Gianpaolo ; De Poli, Giovanni ; Rocchesso, Davide

Author_Institution

Dipt. di Elettronica e Inf., Padova Univ., Italy

Volume

8

Issue

5

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

597

Lastpage

605

Abstract

Nonlinear acoustic systems are often described by means of nonlinear maps acting as instantaneous constraints on the solutions of a system of linear differential equations. This description leads to discrete-time models exhibiting noncomputable loops. We present a solution to this computability problem by means of geometrical transformation of the nonlinearities and algebraic transformation of the time-dependent equations. The proposed solution leads to stable and accurate simulations even at relatively low sampling rates

Keywords

Chua´s circuit; digital circuits; discrete time systems; frequency synthesizers; linear differential equations; nonlinear network synthesis; algebraic transformation; computability; delay-free loops; discrete-time models; geometrical transformation; instantaneous constraints; linear differential equations; nonlinear acoustic systems; nonlinear maps; nonlinearities; sampling rates; time-dependent equations; Boring; Circuit simulation; Circuit synthesis; Computational modeling; Delay; Digital filters; Nonlinear acoustics; Nonlinear circuits; Nonlinear dynamical systems; Nonlinear equations;

fLanguage

English

Journal_Title

Speech and Audio Processing, IEEE Transactions on

Publisher

ieee

ISSN

1063-6676

Type

jour

DOI

10.1109/89.861380

Filename

861380