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Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C-Algebras [PDF]

open access: yesEntropy, 2020
A geometrical formulation of estimation theory for finite-dimensional C∗-algebras is presented. This formulation allows to deal with the classical and quantum case in a single, unifying mathematical framework.
Florio M. Ciaglia   +2 more
doaj   +2 more sources

Hammerstein system with a stochastic input of arbitrary/unknown autocorrelation – nonparametric estimator of the static nonlinear subsystem

open access: yesIET Signal Processing, 2021
This study proposes the first estimator in the open literature (to the present authors' best knowledge) to nonparametrically estimate a Hammerstein system's nonlinear static subsystem when excited by an input that is temporally self‐correlated with an ...
Tsair‐Chuan Lin, Kainam Thomas Wong
doaj   +1 more source

A New Strategy for Combining Nonlinear Kalman Filters With Smooth Variable Structure Filters

open access: yesIEEE Access, 2023
Bayesian filters exemplified by the celebrated Kalman Filter (KF), and its non-linear variants rely on a fairly accurate state-space model of the system under study.
Salman Akhtar   +3 more
doaj   +1 more source

Interacting Multiple Model Estimators for Fault Detection in a Magnetorheological Damper

open access: yesSensors, 2023
This paper proposes a novel estimator for the purpose of fault detection and diagnosis. The interacting multiple model (IMM) strategy is effective for estimating the behaviour of systems with multiple operating modes.
Andrew Sanghyun Lee   +3 more
doaj   +1 more source

Robust Universal Inference

open access: yesEntropy, 2021
Learning and making inference from a finite set of samples are among the fundamental problems in science. In most popular applications, the paradigmatic approach is to seek a model that best explains the data.
Amichai Painsky, Meir Feder
doaj   +1 more source

Quantum Estimation Theory [PDF]

open access: yes, 1979
In classical communication theory, the message to be transmitted is modulated and the resulting signal propagates through a given channel to produce a received waveform. The function of the receiver is to recover the signal from the received waveform, perhaps in an optimum manner, optimum being defined by some performance criterion.
Sanjoy K. Mitter, Stephen K. Young
openaire   +2 more sources

Formulation of the Alpha Sliding Innovation Filter: A Robust Linear Estimation Strategy

open access: yesSensors, 2022
In this paper, a new filter referred to as the alpha sliding innovation filter (ASIF) is presented. The sliding innovation filter (SIF) is a newly developed estimation strategy that uses innovation or measurement error as a switching hyperplane.
Mohammad AlShabi, Stephen Andrew Gadsden
doaj   +1 more source

Estimation of human gait features by trajectory tracking and recombination using radar range‐Doppler‐time data

open access: yesIET Radar, Sonar & Navigation, 2023
Radar enables a convenient, contactless way for gait analysis in daily scenarios, such as in‐home health monitoring. However, the overlapping of human limb components could occur in both range and velocity dimensions of the radar echo, which makes it ...
Tong Mao   +4 more
doaj   +1 more source

A View of Information-Estimation Relations in Gaussian Networks

open access: yesEntropy, 2017
Relations between estimation and information measures have received considerable attention from the information theory community. One of the most notable such relationships is the I-MMSE identity of Guo, Shamai and Verdú that connects the mutual ...
Alex Dytso   +3 more
doaj   +1 more source

Retrieval of unknown sinusoidal signals through the measurement of chaotic signals

open access: yesThe Journal of Engineering, 2014
Chaotic dynamical systems are extremely sensitive to initial conditions and their behaviour is unpredictable. On the other hand, in regulation theory, an exosystem is available when it is known; however, if it is unknown, it should be estimated with any ...
Guillermo Obregón-Pulido   +3 more
doaj   +1 more source

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