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Improved High-Degree Cubature Kalman Filter
2015 Sensor Signal Processing for Defence (SSPD), 2015In this paper, an improved filter has been proposed for solving the nonlinear estimation problem. The intractable integral appeared while solving the nonlinear estimation problem is decomposed into two parts, namely the surface and the line integrals. The surface integral is solved by using the arbitrary odd degree spherical cubature rule and the line ...
Abhinoy Kumar Singh, Shovan Bhaumik
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Spherical Simplex-Radial Cubature Kalman Filter
IEEE Signal Processing Letters, 2014In this letter, a new class of cubature Kalman filters (CKF) based on a spherical simplex-radial rule is proposed to further improve accuracy and efficiency of the traditional CKF. The transformation group of the regular simplex and the moment matching method are utilized to compute the spherical and radial integrals, respectively.
Shiyuan Wang, Jiuchao Feng, Chi K. Tse
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An Efficient Gauss-Seidel Cubature Kalman Filter
IEEE Transactions on Circuits and Systems II: Express Briefs, 2022The Cubature Kalman filter (CKF) is a widely used filter with excellent performance, particularly on large non-linear systems. However, the CKF is computationally challenging to implement. The matrix inversion operation increases the computational burden if exact inversion methods, such as the Cholesky decomposition, are used.
Qingwen Meng, Xuyou Li, Yanda Guo
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The high-degree cubature Kalman filter
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012Cubature Kalman filter (CKF) has recently drawn much attention due to its more stable performance than the unscented Kalman filter (UKF). This third-degree cubabure rule based nonlinear filter may not be accurate enough in many estimation problems. In this paper, a more general class of CKFs with arbitrary high-degree estimation accuracy is proposed ...
Bin Jia, Ming Xin, Yang Cheng
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ECG Denoising using Cubature Kalman Filter Framework
2020 5th International Conference on Communication and Electronics Systems (ICCES), 2020In this paper, the robust and efficient filtering framework based on the cubature Kalman filter (CKF) is proposed for electrocardiogram (ECG) denoising. The CKF preserves the second-order content in corrupted measurements and provides the best-known approximation under the Gaussian conjecture.
Roshan M. Bodile +1 more
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A New Derivation of the Cubature Kalman Filters
Asian Journal of Control, 2014ABSTRACTThis paper investigates the cubature Kalman filtering (CKF) for nonlinear dynamic systems. This third‐degree rule based filter employs a spherical‐radial cubature rule to numerically compute the integrals encountered in nonlinear filtering problems, thereby removing the requirements of explicitly computing the Jacobians.
Zhang, Xin-Chun, Teng, Yun-Long
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Variants of Cubature Kalman Filter
2018Cubature Kalman filter (CKF) discussed in the last chapter deals with nonlinear systems with single set of sensors and with Gaussian noise. In this chapter, variants of CKF, namely the cubature information filter (CIF), cubature \(\mathcal{H}_{\infty }\) filter (C\(\mathcal{H}_{\infty }\)F) and cubature \(\mathcal{H}_{\infty }\) information filter (C\(\
Kumar Pakki Bharani Chandra, Da-Wei Gu
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Higher degree cubature quadrature kalman filter
International Journal of Control, Automation and Systems, 2015In this paper, an algorithm has been developed to solve the nonlinear estimation problems. The intractable integrals, appeared during the estimation, have been approximately evaluated using any arbitrary but odd degree spherical cubature and higher order Gauss-Laguerre quadrature rule.
Abhinoy Kumar Singh, Shovan Bhaumik
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Event Triggered Cubature Kalman Filter
2020The Event-triggered state estimation problem has been at the forefront of systems research for several decades and has seen multiple successful applications in diverse areas such as signal processing, target tracking, and navigation systems. Event-triggered state estimation offers a promising solution to data traffic congestion, in which information ...
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Cubature-based Kalman filters for positioning
2010 7th Workshop on Positioning, Navigation and Communication, 2010We review a family of nonlinear filtering methods that includes unscented filters and cubature Kalman filters. These methods approximate the integrals occurring in the Bayesian formulation of the filtering problem by a sum of weighted integrand evaluations calculated at prescribed nodes.
H. Pesonen, R. Piche
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