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

被引:59
作者
Borin, G [1 ]
De Poli, G [1 ]
Rocchesso, D [1 ]
机构
[1] Univ Padua, Dipartimento Elettron & Informat, Ctr Sonol Computazionale, I-35131 Padua, Italy
来源
IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING | 2000年 / 8卷 / 05期
关键词
acoustic system modeling; Kirchhoff digital domain; noncomputable loops; nonlinear circuits; wave digital domain;
D O I
10.1109/89.861380
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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.
引用
收藏
页码:597 / 605
页数:9
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