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Filters
An Improved Location Algorithm by Extend Square-root Cubature Kalman Filter
2013
Journal of Computers
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In this paper, the new nonlinear filter method Cubature Kalman Filter (CKF) is improved to solve the passive location problem. ...
; Meanwhile, the location process is improved by the way of square root to keep its stability and positivity, and the results of track with moving angle-measured sensors' measurements by Extend SCKF are ...
Unfortunately, it may be impossible for us to formulate the square-root UKF that enjoys numerical advantages similar to the Square-root Cubature Kalman Filter. ...
doi:10.4304/jcp.8.2.471-477
fatcat:cf5cyw3nwbf3bfs6ecckkuvkhi
Square Root Cubature Kalman Filter-Kalman Filter Algorithm for Intelligent Vehicle Position Estimate
2016
Procedia Engineering
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A new filtering algorithm, adaptive square root cubature Kalman filter-Kalman filter (SRCKF-KF) is proposed to reduce the problems of amount of calculation, complex formula-transform, low accuracy, poor ...
The method uses cubature Kalman filter (CKF) to estimate the nonlinear states of model while its linear states are estimated by the Kalman filter (KF). ...
The proposed filter is derived from an extended square-root cubature filter fused with a Kalman filter, which uses cubature Kalman filter (CKF) to estimate the nonlinear states of model while its linear ...
doi:10.1016/j.proeng.2016.01.258
fatcat:vif3kkqjgnek7b3gu5xm6jtkcy
An Improved Square Root Cubature Particle Filter for Navigation
2014
International Journal of Hybrid Information Technology
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For the lack of measurement information of the PF, it combines square root cubature Kalman filter (SRCKF) with strong tracking filter (STF), and proposes an improved square root cubature Kalman filter ...
In order to balance filtering accuracy and time cost, this paper introduces an improved square root cubature particle filter algorithm (ISRCPF) navigation method. ...
This work was supported by the Natural Science Foundation of Heilongjiang Province of China (Grant Nos. ...
doi:10.14257/ijhit.2014.7.6.39
fatcat:hohkoaqggzhdlfi5v5t7eutm3m
Nonlinear State Estimation Algorithms for Autonomous Vehicles
[chapter]
2014
Computational Intelligence in Aerospace Sciences
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We propose a couple of new nonlinear state estimation algorithms, namely, cubature information filters (CIFs) and cubature H ∞ filters (CH ∞ Fs), and their square root versions. ...
The extended Kalman filter (EKF) has been an important approach for nonlinear state estimation over the last five decades. ...
The proposed algorithm is derived from the square root CKF and square root H ∞ filter, and is called as square root cubature H ∞ filter. ...
doi:10.2514/5.9781624102714.0181.0220
fatcat:q3vzmwnlbvh75naeihwnni3cae
Cubature Kalman smoothers
2011
Automatica
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The cubature Kalman filter (CKF) is a relatively new addition to derivative-free approximate Bayesian filters built under the Gaussian assumption. ...
This paper extends the CKF theory to address nonlinear smoothing problems; the resulting state estimator is named the fixed-interval cubature Kalman smoother (FI-CKS). ...
Unlike filtering algorithms, the smoothed state-error covariance is not an integral part of smoothing algorithms. This is an important observation for two reasons. ...
doi:10.1016/j.automatica.2011.08.005
fatcat:6dvuw75ymvatldwof5uq546ehu
Ultra - Wideband - based Trajectory Estimation Algorithm with Adaptive Square Root Cubature Kalman Filtering
2016
Journal of Engineering Science and Technology Review
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Square root cubature Kalman filter (SRCKF) was used to estimate the trajectory. However, the filtering accuracy decreased when the measured value was abnormal. ...
The adaptive square root cubature Kalman filter (ASRCKF) method was proposed to deal with this problem. Judgment as to whether the ASRCKF method should be used was presented. ...
Square root cubature Kalman filter SRCKF is an improvement of the CKF ideology first proposed by Arasaratnam in 2009 [11] [12] , [18] . ...
doi:10.25103/jestr.093.22
fatcat:joqmubpndravro47yglsoeypby
Square-Root Cubature Kalman Filter Based on H∞ Filter for Attitude Measurement of High-Spinning Aircraft
2021
International Journal of Aerospace Engineering
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Kalman filter, square root cubature Kalman filter, and singular value decomposition cubature Kalman filter, which proves the effectiveness and superiority of the algorithm. ...
A novel H∞ filter called square-root cubature H∞ Kalman filter is proposed for attitude measurement of high-spinning aircraft. ...
Square-Root Cubature H∞ Kalman Filter (SR-CH∞KF). ...
doi:10.1155/2021/5589691
doaj:c2d89447d10b4fbfb86c14d51de113c5
fatcat:vnqocuua5fcrzi2exywwkxuf7a
Cubature Kalman Filters
2009
IEEE Transactions on Automatic Control
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In this paper, we present a new nonlinear filter for high-dimensional state estimation, which we have named the cubature Kalman filter (CKF). ...
The paper also includes the derivation of a square-root version of the CKF for improved numerical stability. The CKF is tested experimentally in two nonlinear state estimation problems. ...
square-root cubature Kalman filter (SCKF). ...
doi:10.1109/tac.2009.2019800
fatcat:3r57xz3zifdsjfh7bxhiaq3suq
Sensor Fusion with Square-Root Cubature Information Filtering
2013
Intelligent Control and Automation
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This paper derives a square-root information-type filtering algorithm for nonlinear multi-sensor fusion problems using the cubature Kalman filter theory. ...
The resulting filter is called the square-root cubature Information filter (SCIF). ...
filtering algorithm, they are required to send the square-root information matrices to the fusion center (see Figure 1) . ...
doi:10.4236/ica.2013.41002
fatcat:3kdpt2dzabf4bj22zggrsl5el4
Cubature Kalman Filtering for Continuous-Discrete Systems: Theory and Simulations
2010
IEEE Transactions on Signal Processing
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Index Terms-Bayesian filters, cubature Kalman filter (CKF), Itô-Taylor expansion, nonlinear filtering, square-root filtering. ...
In this paper, we extend the cubature Kalman filter (CKF) to deal with nonlinear state-space models of the continuousdiscrete kind. ...
SQUARE-ROOT CONTINUOUS-DISCRETE CUBATURE KALMAN FILTERING FOR IMPROVED RELIABILITY The CD-CKF performs numerically sensitive operations such as matrix inversion and subtraction of two positive definite ...
doi:10.1109/tsp.2010.2056923
fatcat:dwruagdjenejbi62mfptqlmgqi
Application of Spherical-Radial Cubature Bayesian Filtering and Smoothing in Bearings Only Passive Target Tracking
2019
Entropy
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The worth of spherical radial cubature Bayesian filtering and smoothing algorithms is validated by comparing with a conventional Unscented Kalman Filter (UKF) and an Unscented Rauch–Tung–Striebel (URTS ...
The nonlinear model of a Kalman filter based on a Spherical Radial Cubature Kalman Filter (SRCKF) and discrete-time Kalman smoother known as a Spherical Radial Cubature Rauch–Tung–Striebel (SRCRTS) smoother ...
By using the Bayesian methodology, researchers have developed many nonlinear filters to handle state estimation problem in an iterative pattern, like extended Kalman filter (EKF) [17] , unscented Kalman ...
doi:10.3390/e21111088
fatcat:46isdulbtfex7lpslfa2q27h3u
Adaptive Gaussian sum squared-root cubature Kalman filter with split-merge scheme for state estimation
2014
Chinese Journal of Aeronautics
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An efficient new algorithm called the adaptive Gaussian-sum square-root cubature Kalman filter (AGSSCKF) with a split-merge scheme is proposed. ...
It is developed based on the squared-root extension of newly introduced cubature Kalman filter (SCKF) and is built within a Gaussian-sum framework. ...
This work was supported by the National Natural Science Foundation of China ...
doi:10.1016/j.cja.2014.09.007
fatcat:q2cymzoxcjbwpfgw6twyhgyxwe
SCKF-STF-CN: a universal nonlinear filter for maneuver target tracking
2011
Journal of Zhejiang University SCIENCE C
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Square-root cubature Kalman filter (SCKF) is more effective for nonlinear state estimation than an unscented Kalman filter. ...
Second, we introduce the idea of a strong tracking filter to construct the adaptive square-root factor of the prediction error covariance with a fading factor, which makes SCKF-CN obtain outstanding tracking ...
Square-root cubature Kalman filter with correlated noises Because of the errors introduced by finite wordlength, two basic properties of an error covariance matrix, symmetry and positive definition, are ...
doi:10.1631/jzus.c10a0353
fatcat:fujswc7oirhlngscedktligst4
Nonlinear Bayesian Filters for Training Recurrent Neural Networks
[chapter]
2008
Lecture Notes in Computer Science
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From the empirical results, we conclude that the performance may be greatly improved by the new square-root cubature Kalman filter. ...
family called the cubature Kalman filter. ...
The square-root version of the cubature Kalman filter hereafter called squareroot cubature Kalman filter (SCKF), essentially propagates a square-root factor of the covariance matrix. ...
doi:10.1007/978-3-540-88636-5_2
fatcat:bh5r7jvfajgg5gk5q7sww7humy
Multi-UAV Doppler Information Fusion for Target Tracking Based on Distributed High Degrees Information Filters
2018
Aerospace (Basel)
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cubature Kalman filter (CKF). ...
A high-degree Gauss-Hermite information filter, as well as a seventh-degree cubature information filter (CIF), is developed to improve the fifth-degree and third-degree CIFs proposed in the most recent ...
Meng Li contributed to improving the paper in terms of formulation, simulation, and grammar.
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/aerospace5010028
fatcat:xfadt5sunjg6rcjsbebamgdwmq
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