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IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 56, NO. 10, OCTOBER 2008 4703 Computation of Delay-Free Nonlinear Digital Filter
 

Summary: IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 56, NO. 10, OCTOBER 2008 4703
Computation of Delay-Free Nonlinear Digital Filter
Networks: Application to Chaotic Circuits and
Intracellular Signal Transduction
Federico Fontana, Member, IEEE, and Federico Avanzini
Abstract--A method for the computation of nonlinear dig-
ital filter networks containing delay-free loops is proposed. By
preserving the topology of the network this method permits the
inspection of all signals flowing across the loops. Furthermore, it
enables to discretize analog filter networks described by nonlinear
ordinary differential equation systems on a block-by-block basis,
in such a way that ad hoc analog-to-digital maps can be individ-
ually applied to each filter. A nonlinear implicit system must be
solved at every computation step using iterative methods, holding
certain sufficient conditions for the existence of the solution. This
condition is in algebraic relationship with the causality and struc-
ture of the network and its filtering blocks. The proposed method
can be straightforwardly applied to the computation of several
interconnected networks. This property adds modularity to the
procedure, and enables to handle changes in the network topology.

  

Source: Avanzini, Federico - Department of Information Engineering, UniversitÓ degli Studi di Padova

 

Collections: Computer Technologies and Information Sciences