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

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 prob...

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Bibliographic Details
Published in:IEEE transactions on speech and audio processing 2000-09, Vol.8 (5), p.597-605
Main Authors: Borin, G., De Poli, G., Rocchesso, D.
Format: Article
Language:English
Subjects:
Acoustics
Applied sciences
Boring
Circuit simulation
Circuit synthesis
Computational modeling
Delay
Differential equations
Digital filters
Exact sciences and technology
Information, signal and communications theory
Mathematical analysis
Mathematical models
Nonlinear acoustics
Nonlinear circuits
Nonlinear dynamical systems
Nonlinear equations
Nonlinearity
Sampling
Signal processing
Speech processing
Telecommunications and information theory
Transformations
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Description
Summary: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.
ISSN:1063-6676
2329-9290
1558-2353
2329-9304
DOI:10.1109/89.861380