This paper is concerned with a multiresolution approach to the piecewise-linear approximation of multivariate nonlinear continuous functions. The proposed technique has no restrictions on the number of variables the functions depend on, and is based on the use of piecewise-linear "hat" functions. The approximation levels are related to nested...
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2010 (v1)PublicationUploaded on: April 14, 2023
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2005 (v1)Publication
This paper proposes a method to find multiresolution piecewise-linear (PWL) approximations of multivariate continuous nonlinear functions defined over limited compact domains. The method is derived from the context of PWL prewavelets on arbitrary triangulations and is aimed to the circuit implementations of the obtained approximations. Two...
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1975 (v1)Publication
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2013 (v1)Publication
Il libro presenta un complesso di argomenti e metodi matematici importanti per una moderna preparazione in vari settori dell'ingegneria.Nella prima delle quattro parti dell'esposizione sono considerati i concetti base sugli spazi di funzioni e sugli operatori; inoltre si discutono gli aspetti generali sulla risolvibilità dei sistemi di...
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1985 (v1)Publication
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1997 (v1)Publication
A circuit representation of the nerve axon membrane equations proposed by Hodgkin and Huxley is presented and discussed. In contrast with the usual circuit formulation found in the literature and based on 'time-varying conductances', all the elements of the present circuit are time-invariant and the whole structure is sufficiently detailed to...
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2005 (v1)Publication
This paper deals with the circuit implementation of non-linear algebraic bivariate functions. The synthesis procedure is based on a piecewise-linear approximation technique and on a corresponding circuit architecture, whose basic element is a circuit block with the input=output function y(x) = max(0; x). Some known CMOS circuit structures that...
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1989 (v1)Publication
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1982 (v1)Publication
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1984 (v1)Publication
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1982 (v1)Publication
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1998 (v1)Publication
Some important features of static hysteretic phenomena can be suitably represented by a recently proposed ladder circuit model. The elementary cell of this ladder is constituted by a linear capacitor and a non-linear resistor with a proper piecewise linear (PWL) characteristic. With respect to the original formulation, the representation...
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1979 (v1)Publication
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1976 (v1)Publication
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1998 (v1)Publication
A chaos generator based on a simple hysteretic cell is described. The cell contains two passive nonlinear resistors; the only nonlinear elements of the circuit. The most important features of the circuit are investigated. A numerical simulation is presented.
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1975 (v1)Publication
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2018 (v1)Publication
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1981 (v1)Publication
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1986 (v1)Publication
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1987 (v1)Publication
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