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Linear fusion is a cornerstone of estimation theory. Optimal linear fusion was derived by Bar-Shalom and Campo in the 1980s. It requires knowledge of the cross-covariances between the errors of the estimators. In distributed or cooperative…

Optimization and Control · Mathematics 2023-07-28 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

This paper introduces a new conservative fusion method to exploit the correlated components within the estimation errors. Fusion is the process of combining multiple estimates of a given state to produce a new estimate with a smaller MSE.…

Signal Processing · Electrical Eng. & Systems 2024-03-07 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

We show that Covariance Intersection (CI) is optimal amongst all conservative unbiased linear fusion rules also in the general case of information fusion of two unbiased partial state estimates, significantly generalizing the known…

Optimization and Control · Mathematics 2025-07-23 Jochen Trumpf , Behzad Zamani , Chris Manzie

Emerging large-scale engineering systems rely on distributed fusion for situational awareness, where agents combine noisy local sensor measurements with exchanged information to obtain fused estimates. However, at the sheer scale of these…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Leonardo Pedroso , Pedro Batista , W. P. M. H. Heemels

Covariance intersection (CI) methods provide a principled approach to fusing estimates with unknown cross-correlations by minimizing a worst-case measure of uncertainty that is consistent with the available information. This paper…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Leonardo Pedroso , W. P. M. H. Heemels , Pedro Batista

This paper is concerned with the sequential covariance intersection (CI) fusion problem that the fusion result is independent of fusion structure including the fusion order and the number of estimates fused in each sequential fusion. An…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Zhongyao Hu , Bo Chen , Wen-An Zhang , Li Yu

In this paper, low-complexity distributed fusion filtering algorithm for mixed continuous-discrete multisensory dynamic systems is proposed. To implement the algorithm a new recursive equations for local cross-covariances are derived. To…

Other Computer Science · Computer Science 2010-02-26 Seokhyoung Lee , Vladimir Shin

Linear fusion of estimates under the condition of no knowledge of correlation of estimation errors has reached maturity. On the other hand, various cases of partial knowledge are still active research areas. A frequent motivation is to deal…

Signal Processing · Electrical Eng. & Systems 2025-06-16 Jiří Ajgl , Ondřej Straka

The split covariance intersection filter (split CIF) is a useful tool for general data fusion and has the potential to be applied in a variety of engineering tasks. An indispensable optimization step (referred to as w-optimization) involved…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Hao Li

Disturbance noises are always bounded in a practical system, while fusion estimation is to best utilize multiple sensor data containing noises for the purpose of estimating a quantity--a parameter or process. However, few results are…

Systems and Control · Computer Science 2018-07-20 Bo Chen , Guoqiang Hu , Daniel W. C. Ho , Li Yu

Cooperative localization is considered a key solution for enabling autonomous navigation of multi-vehicle systems (MVS) in GNSS-denied environments. Among all solutions, distributed cooperative localization (DCL) has garnered widespread…

Signal Processing · Electrical Eng. & Systems 2025-12-17 Chenxin Tu , Xiaowei Cui , Gang Liu , Mingquan Lu

A key challenge in Bayesian decentralized data fusion is the `rumor propagation' or `double counting' phenomenon, where previously sent data circulates back to its sender. It is often addressed by approximate methods like covariance…

Robotics · Computer Science 2023-07-21 Christopher Funk , Ofer Dagan , Benjamin Noack , Nisar R. Ahmed

Distributed estimation in the context of sensor networks is considered, where distributed agents are given a set of sensor measurements, and are tasked with estimating a target variable. A subset of sensors are assumed to be faulty. The…

Signal Processing · Electrical Eng. & Systems 2022-12-26 Marian Temprana Alonso , Farhad Shirani , S. Sitharama Iyengar

Cooperative localization is a promising solution to improve the accuracy and overcome the shortcomings of GNSS. Cooperation is often achieved by measuring the distance between users. To optimally integrate a distance measurement between two…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François da Rocha

In this paper, we address the fusion problem in wireless sensor networks, where the cross-correlation between the estimates is unknown. To solve the problem within the Bayesian framework, we assume that the covariance matrix has a prior…

Information Theory · Computer Science 2015-09-14 Zhiyuan Weng , Petar Djuric

This paper proposes a computationally efficient algorithm for distributed fusion in a sensor network in which multi-Bernoulli (MB) filters are locally running in every sensor node for multi-target tracking. The generalized Covariance…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Wei Yi , Suqi Li , Bailu Wang , Reza Hoseinnezhad , Lingjiang Kong

This paper is concerned with distributed limited memory prediction for continuous-time linear stochastic systems with multiple sensors. A distributed fusion with the weighted sum structure is applied to the optimal local limited memory…

Other Computer Science · Computer Science 2010-02-18 Ha-ryong Song , Vladimir Shin

In semivarying coefficient models for longitudinal/clustered data, usually of primary interest is usually the parametric component which involves unknown constant coefficients. First, we study semiparametric efficiency bound for estimation…

Methodology · Statistics 2015-09-15 Ming-Yen Cheng , Toshio Honda , Jialiang Li

A distributed sensor fusion architecture is preferred in a real target-tracking scenario as compared to a centralized scheme since it provides many practical advantages in terms of computation load, communication bandwidth, fault-tolerance,…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Nikhil Sharma , Ratnasingham Tharmarasa , Thiagalingam Kirubarajan

A power constrained sensor network that consists of multiple sensor nodes and a fusion center (FC) is considered, where the goal is to estimate a random parameter of interest. In contrast to the distributed framework, the sensor nodes may…

Information Theory · Computer Science 2012-07-03 Swarnendu Kar , Pramod K. Varshney
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