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On the optimal filtering problem for the cubic sensor

Circuits, Systems, and Signal Processing, 1988
We consider the problem of optimal filtering of a scalar diffusion process measured by a monotone nonlinear sensor in a low-noise channel. The specific sensors considered are of the form \(h_ n(x)=| x|^ nsgn(x)\). This case represents a wide class of sensors with a critical inflection point,since it is the leading term in Taylor's expansion of the ...
Steinberg, Y.   +2 more
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Optimal Filtering Problems

1993
This chapter discusses the power and utility of the polynomial approach in the area of signal processing and communications. Minimisation of mean-square error criteria by linear filters will be considered. We shall focus on the optimisation of realisable discrete-time IIR-filters, to be used for prediction, filtering or smoothing of signals. Stochastic
A. Ahlen, M. Sternad
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Stochastic global optimization as a filtering problem

Journal of Computational Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second-Order Filtering Algorithm for Streaming Optimization Problems

2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2019
We consider the minimization of the sum of convex objectives with overlapping decision variables. These types of objectives occur in streaming signal reconstruction applications, where the observations of the signal occur in frames, and the loss functions for each frame are connected through overlapping basis functions.
Tomer Hamam, Justin Romberg
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Microstatistics in signal decomposition and the optimal filtering problem

IEEE Transactions on Signal Processing, 1992
The author introduces and analyzes a large class of nonlinear filters which are based on signal decomposition and where the estimation in the decomposed space uses linear combinations of either the observation vector, the sorted observation vector, or, in general, a nonlinear transformation of the observation vector.
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Optimal filtering of a random background in image processing problems

Problems of Information Transmission, 2008
We describe a recurrent construction procedure for mean-square optimal linear spatio-temporal filtering of a random background, which makes it possible to construct filtered frames using explicitly written compact analytical expressions.
Alexander V. Bernstein   +1 more
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Theory of optimal nonlinear filtering in infocommunication's problems

East-West Design & Test Symposium (EWDTS 2013), 2013
On the basis of the Markovian theory of an optimal nonlinear filtering in modified polygauss approximation a posteriori density of probability the task synthesis of optimal and analysis of quasioptimal algorithms of processing of complex signals, characteristic for highly effective systems of transmission of the digital messages on band-limited data ...
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On the optimal and suboptimal nonlinear filtering problem for discrete-time systems

IEEE Transactions on Automatic Control, 1977
This paper examines optimal and sub-optimal algorithms for the state filtering problem in discrete time non-linear systems. The optimal equations of sequential filtering are analyzed and general conditions are obtained which ensure multimodal character for the a-posteriori densities.
Andrade Netto, M. L.   +2 more
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An Optimization Problem Related to Bloom Filters with Bit Patterns

2017
Bloom filters are hash-based data structures for membership queries without false negatives widely used across many application domains. They also have become a central data structure in bioinformatics. In genomics applications and DNA sequencing the number of items and number of queries are frequently measured in the hundreds of billions. Consequently,
Peter Damaschke, Alexander Schliep
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Problems in Optimal Filtering and Stochastic Control.

1981
Abstract : In this research we continue our investigations of approximation techniques for a wide class of discrete and continuous time stochastic control problems. Emphasis is placed on the development and theoretical justification of techniques which yield computationally tractable algorithms that answer the following: (1) approximations to the ...
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