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Optimum Nonlinear Filters

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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Optimal Nonlinear Filtering

1967
A formal survey of nonlinear filtering with emphasis on some ad hoc truncation schemes.
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Particle filter with Lamarckian inheritance for nonlinear filtering

2016 IEEE Congress on Evolutionary Computation (CEC), 2016
The particle filter (PF) offers significant advantages over other nonlinear filters for non-Gaussian systems. However, it suffers from particle degeneracy and impoverishment, which can lead to deteriorated estimation performance. Through analyzing the filtering and Lamarckian evolution processes in this paper, we develop a Lamarckian PF (LPF), based on
Lin Li 0048   +3 more
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Predictive filtering for nonlinear systems

Guidance, Navigation, and Control Conference, 1996
A new real-time filter algorithm for nonlinear systems is presented. The optimal state estimate is found by using a one time-step ahead control approach, combined with the known minimum model error estimator algorithm. The major advantages of the new algorithm over the extended Kalman filter algorithms are: 1) the model error weighting matrix is ...
Crassidis, John L., Markley, F. Landis
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Nonlinear Filtering and Array Computation

Computer, 1983
The architecture of the array processor is well suited to signal processing problem and the numerical solution of partial differential equations. The authors application concerns developing code to build the best phase demodulator for use in areas such as deep-space and submarine communications.
Richard S. Bucy   +3 more
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Adaptive control with nonlinear filtering

Automatica, 1985
Nonlinear filters are not commonly used in parameter adaptive control. They make, however, a noteworthy alternative especially when state space models and control algorithms are used. In practice most of the well- known nonlinear filters like the extended Kalman filter suffer computational complexity and robustness problems.
Aarne Halme   +2 more
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Nonlinear filtering with particle filters

2014
Convective phenomena in the atmosphere, such as convective storms, are characterized by very fast, intermittent and seemingly stochastic processes. They are thus difficult to predict with Numerical Weather Prediction (NWP) models, and difficult to estimate with data assimilation methods that combine prediction and observations.
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Nonlinear Filtering

2017
Jitendra R. Raol   +2 more
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NONLINEAR FILTERING OF SMOOTH SIGNALS

Stochastics and Dynamics, 2005
A nonlinear online Kalman type filter is proposed for the estimation of unknown function S(t) with the known smoothness β for the diffusion observed process with small, of the order ε2, diffusion coefficient. Assuming that the drift coefficient of the observed process depends on an unknown function S(t), we propose an approach to the analysis of this ...
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Recursive filtering of networked nonlinear systems: a survey

International Journal of Systems Science, 2021
Jingyang Mao   +2 more
exaly  

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