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Filtering by nonlinear systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008Synchronization of nonlinear systems forced by external signals is formalized as the response of a nonlinear filter. Sufficient conditions for a nonlinear system to behave as a filter are given. Some examples of generalized chaos synchronization are shown to actually be special cases of nonlinear filtering.
Campos Cantón, E. +2 more
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Introducing Legendre nonlinear filters
2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014This paper introduces a novel sub-class of linear-in-the-parameters nonlinear filters, the Legendre nonlinear filters. Their basis functions are polynomials, specifically, products of Legendre polynomial expansions of the input signal samples. Legendre nonlinear filters share many of the properties of the recently introduced classes of Fourier ...
Alberto Carini +3 more
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Journal of Applied Physics, 1953
The theory of optimum nonlinear filters outlined in this paper is based on the consideration of a sequence of classes of nonlinear filters, designated as 𝔑1, 𝔑2, 𝔑3, …, such that each class in the sequence includes all the preceding classes and, furthermore, the class of linear filters is a subclass of every class in the sequence.
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The theory of optimum nonlinear filters outlined in this paper is based on the consideration of a sequence of classes of nonlinear filters, designated as 𝔑1, 𝔑2, 𝔑3, …, such that each class in the sequence includes all the preceding classes and, furthermore, the class of linear filters is a subclass of every class in the sequence.
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Locally nonlinear matched filtering
Optics Letters, 1993A new matched filter for pattern recognition is introduced. Previous researchers have introduced matched filters that are nonlinear functions of the spectrum, for which the classical matched filter is divided by some power m of the spectrum of interest.
O, Gualdron, H H, Arsenault
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Toward nonlinear wave digital filters
IEEE Transactions on Signal Processing, 1999The wave digital filter (WDF) theory provides us with a systematic methodology for building digital models of analog filters through the discretization of their individual circuit components. In some situations, WDF principles can also be successfully used for modeling circuits in which a nonlinear circuit element is present under mild conditions on ...
SARTI, AUGUSTO, DE POLI G.
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Benchmarking Nonlinear Filters
2006 IEEE Nonlinear Statistical Signal Processing Workshop, 2006Algorithm developers need relevant and practical criteria to evaluate and compare the performance of different discrete-time filters or filter variants. This paper discusses some pit-falls in different approaches and proposes a combination of criteria on which to base comparisons. A comparison of eight filters for a class of hybrid personal positioning
Niilo Sirola +2 more
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1967
A formal survey of nonlinear filtering with emphasis on some ad hoc truncation schemes.
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A formal survey of nonlinear filtering with emphasis on some ad hoc truncation schemes.
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Signal Processing, 2014
In this paper, two new sub-classes of linear-in-the-parameters nonlinear discrete-time filters, derived from the truncation of multidimensional generalized Fourier series, are presented. The filters, called Fourier nonlinear filters and even mirror Fourier nonlinear filters, are universal approximators for causal, time-invariant, finite-memory ...
Alberto Carini, Giovanni L. Sicuranza
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In this paper, two new sub-classes of linear-in-the-parameters nonlinear discrete-time filters, derived from the truncation of multidimensional generalized Fourier series, are presented. The filters, called Fourier nonlinear filters and even mirror Fourier nonlinear filters, are universal approximators for causal, time-invariant, finite-memory ...
Alberto Carini, Giovanni L. Sicuranza
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IEEE Transactions on Signal Processing, 1997
This paper is composed of two parts. The first part surveys the literature regarding optimum nonlinear filtering from the (continuous-time) stochastic analysis point of view, and the other part explores the impact of recent applications of neural networks (in a discrete-time context) to nonlinear filtering.
S. Haykin, P. Yee, E. Derbez
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This paper is composed of two parts. The first part surveys the literature regarding optimum nonlinear filtering from the (continuous-time) stochastic analysis point of view, and the other part explores the impact of recent applications of neural networks (in a discrete-time context) to nonlinear filtering.
S. Haykin, P. Yee, E. Derbez
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ICASSP '77. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
In conventional filter design there are generally two underlying assumptions. First, it is assumed that the precise nature of the operation to be performed on a signal is known. Second, the signal conditioning is generally a linear operation. (There are certain notable exceptions such as waveform hard-limiting in FM demodulation; but even in this ...
A. Mucciardi, D. Cleveland, E. Orr
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In conventional filter design there are generally two underlying assumptions. First, it is assumed that the precise nature of the operation to be performed on a signal is known. Second, the signal conditioning is generally a linear operation. (There are certain notable exceptions such as waveform hard-limiting in FM demodulation; but even in this ...
A. Mucciardi, D. Cleveland, E. Orr
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