Kalman Filtering Under Information Theoretic Criteria

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Kalman Filtering Under Information Theoretic Criteria

Author : Badong Chen
Publisher : Springer Nature
ISBN 13 : 3031337646
Total Pages : 304 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Kalman Filtering Under Information Theoretic Criteria by : Badong Chen

Download or read book Kalman Filtering Under Information Theoretic Criteria written by Badong Chen and published by Springer Nature. This book was released on 2023-09-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides several efficient Kalman filters (linear or nonlinear) under information theoretic criteria. They achieve excellent performance in complicated non-Gaussian noises with low computation complexity and have great practical application potential. The book combines all these perspectives and results in a single resource for students and practitioners in relevant application fields. Each chapter starts with a brief review of fundamentals, presents the material focused on the most important properties and evaluates comparatively the models discussing free parameters and their effect on the results. Proofs are provided at the end of each chapter. The book is geared to senior undergraduates with a basic understanding of linear algebra, signal processing and statistics, as well as graduate students or practitioners with experience in Kalman filtering.

Restricted Kalman Filtering

Author : Adrian Pizzinga
Publisher : Springer Science & Business Media
ISBN 13 : 1461447380
Total Pages : 66 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Restricted Kalman Filtering by : Adrian Pizzinga

Download or read book Restricted Kalman Filtering written by Adrian Pizzinga and published by Springer Science & Business Media. This book was released on 2012-07-25 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: In statistics, the Kalman filter is a mathematical method whose purpose is to use a series of measurements observed over time, containing random variations and other inaccuracies, and produce estimates that tend to be closer to the true unknown values than those that would be based on a single measurement alone. This Brief offers developments on Kalman filtering subject to general linear constraints. There are essentially three types of contributions: new proofs for results already established; new results within the subject; and applications in investment analysis and macroeconomics, where the proposed methods are illustrated and evaluated. The Brief has a short chapter on linear state space models and the Kalman filter, aiming to make the book self-contained and to give a quick reference to the reader (notation and terminology). The prerequisites would be a contact with time series analysis in the level of Hamilton (1994) or Brockwell & Davis (2002) and also with linear state models and the Kalman filter – each of these books has a chapter entirely dedicated to the subject. The book is intended for graduate students, researchers and practitioners in statistics (specifically: time series analysis and econometrics).

Kalman Filtering Theory

Author : A. V. Balakrishnan
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Kalman Filtering Theory by : A. V. Balakrishnan

Download or read book Kalman Filtering Theory written by A. V. Balakrishnan and published by . This book was released on 1987 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kalman Filtering

Author : Mohinder S. Grewal
Publisher : John Wiley & Sons
ISBN 13 : 111898496X
Total Pages : 640 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Kalman Filtering by : Mohinder S. Grewal

Download or read book Kalman Filtering written by Mohinder S. Grewal and published by John Wiley & Sons. This book was released on 2015-02-02 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive textbook and professional reference on Kalman Filtering – fully updated, revised, and expanded This book contains the latest developments in the implementation and application of Kalman filtering. Authors Grewal and Andrews draw upon their decades of experience to offer an in-depth examination of the subtleties, common pitfalls, and limitations of estimation theory as it applies to real-world situations. They present many illustrative examples including adaptations for nonlinear filtering, global navigation satellite systems, the error modeling of gyros and accelerometers, inertial navigation systems, and freeway traffic control. Kalman Filtering: Theory and Practice Using MATLAB, Fourth Edition is an ideal textbook in advanced undergraduate and beginning graduate courses in stochastic processes and Kalman filtering. It is also appropriate for self-instruction or review by practicing engineers and scientists who want to learn more about this important topic.

Kalman Filtering

Author : Charles K. Chui
Publisher : Springer Science & Business Media
ISBN 13 : 3540878483
Total Pages : 241 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Kalman Filtering by : Charles K. Chui

Download or read book Kalman Filtering written by Charles K. Chui and published by Springer Science & Business Media. This book was released on 2009 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method and an indirect method.

Kalman Filtering

Author : Charles K. Chui
Publisher : Springer Science & Business Media
ISBN 13 : 366202666X
Total Pages : 209 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Kalman Filtering by : Charles K. Chui

Download or read book Kalman Filtering written by Charles K. Chui and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to making a number of minor corrections and updat ing the references, we have expanded the section on "real-time system identification" in Chapter 10 of the first edition into two sections and combined it with Chapter 8. In its place, a very brief introduction to wavelet analysis is included in Chapter 10. Although the pyramid algorithms for wavelet decompositions and reconstructions are quite different from the Kalman filtering al gorithms, they can also be applied to time-domain filtering, and it is hoped that splines and wavelets can be incorporated with Kalman filtering in the near future. College Station and Houston Charles K. Chui September 1990 Guanrong Chen Preface to the First Edition Kalman filtering is an optimal state estimation process applied to a dynamic system that involves random perturbations. More precisely, the Kalman filter gives a linear, unbiased, and min imum error variance recursive algorithm to optimally estimate the unknown state of a dynamic system from noisy data taken at discrete real-time. It has been widely used in many areas of industrial and government applications such as video and laser tracking systems, satellite navigation, ballistic missile trajectory estimation, radar, and fire control. With the recent development of high-speed computers, the Kalman filter has become more use ful even for very complicated real-time applications.

Approximate Kalman Filtering

Author : Guanrong Chen
Publisher : World Scientific
ISBN 13 : 9789810213596
Total Pages : 248 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis Approximate Kalman Filtering by : Guanrong Chen

Download or read book Approximate Kalman Filtering written by Guanrong Chen and published by World Scientific. This book was released on 1993 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kalman filtering algorithm gives optimal (linear, unbiased and minimum error-variance) estimates of the unknown state vectors of a linear dynamic-observation system, under the regular conditions such as perfect data information; complete noise statistics; exact linear modeling; ideal well-conditioned matrices in computation and strictly centralized filtering.In practice, however, one or more of the aforementioned conditions may not be satisfied, so that the standard Kalman filtering algorithm cannot be directly used, and hence ?approximate Kalman filtering? becomes necessary. In the last decade, a great deal of attention has been focused on modifying and/or extending the standard Kalman filtering technique to handle such irregular cases. It has been realized that approximate Kalman filtering is even more important and useful in applications.This book is a collection of several tutorial and survey articles summarizing recent contributions to the field, along the line of approximate Kalman filtering with emphasis on both its theoretical and practical aspects.

Data Assimilation

Author : Geir Evensen
Publisher : Springer Science & Business Media
ISBN 13 : 3540383018
Total Pages : 285 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Data Assimilation by : Geir Evensen

Download or read book Data Assimilation written by Geir Evensen and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews popular data-assimilation methods, such as weak and strong constraint variational methods, ensemble filters and smoothers. The author shows how different methods can be derived from a common theoretical basis, as well as how they differ or are related to each other, and which properties characterize them, using several examples. Readers will appreciate the included introductory material and detailed derivations in the text, and a supplemental web site.

Kalman Filtering

Author : C. K. Chui
Publisher : Springer Science & Business Media
ISBN 13 : 9783540646112
Total Pages : 0 pages
Book Rating : 4.6/5 (461 download)

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Book Synopsis Kalman Filtering by : C. K. Chui

Download or read book Kalman Filtering written by C. K. Chui and published by Springer Science & Business Media. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kalman Filtering with Real-Time Applications presents a thorough discussion of the mathematical theory and computational schemes of Kalman filtering. The filtering algorithms are derived via different approaches, including a direct method consisting of a series of elementary steps, and an indirect method based on innovation projection. Other topics include Kalman filtering for systems with correlated noise or colored noise, limiting Kalman filtering for time-invariant systems, extended Kalman filtering for nonlinear systems, interval Kalman filtering for uncertain systems, and wavelet Kalman filtering for multiresolution analysis of random signals. The last two topics are new additions to this third edition. Most filtering algorithms are illustrated by using simplified radar tracking examples. The style of the book is informal, and the mathematics is elementary but rigorous. The text is self-contained, suitable for self-study, and accessible to all readers with a minimum knowled

Adaptive Learning Methods for Nonlinear System Modeling

Author : Danilo Comminiello
Publisher : Butterworth-Heinemann
ISBN 13 : 0128129778
Total Pages : 390 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Adaptive Learning Methods for Nonlinear System Modeling by : Danilo Comminiello

Download or read book Adaptive Learning Methods for Nonlinear System Modeling written by Danilo Comminiello and published by Butterworth-Heinemann. This book was released on 2018-06-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to address particular issues.

Mathematics of Kalman-Bucy Filtering

Author : P.A. Ruymgaart
Publisher : Springer Science & Business Media
ISBN 13 : 3642968422
Total Pages : 181 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematics of Kalman-Bucy Filtering by : P.A. Ruymgaart

Download or read book Mathematics of Kalman-Bucy Filtering written by P.A. Ruymgaart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but also in the social sciences, biological sciences, medical sciences, as well as all other physical sciences. Despite all the good that has come out of this devel opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without them fully understanding its underlying mathematical workings. This book addresses a mathematical approach to Kalman-Bucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to Kalman-Bucy filters. The material is meant to be a theoretical complement to courses dealing with applications and is designed for students who are well versed in the techniques of Kalman-Bucy filtering but who are also interested in the mathematics on which these may be based. The main topic addressed in this book is continuous-time Kalman-Bucy filtering. Although the discrete-time Kalman filter results were obtained first, the continuous-time results are important when dealing with systems developing in time continuously, which are hence more appropriately mod eled by differential equations than by difference equations. On the other hand, observations from the former can be obtained in a discrete fashion.

System Parameter Identification

Author : Badong Chen
Publisher : Newnes
ISBN 13 : 0124045952
Total Pages : 266 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis System Parameter Identification by : Badong Chen

Download or read book System Parameter Identification written by Badong Chen and published by Newnes. This book was released on 2013-07-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, criterion functions based on information theoretic measures (entropy, mutual information, information divergence) have attracted attention and become an emerging area of study in signal processing and system identification domain. This book presents a systematic framework for system identification and information processing, investigating system identification from an information theory point of view. The book is divided into six chapters, which cover the information needed to understand the theory and application of system parameter identification. The authors’ research provides a base for the book, but it incorporates the results from the latest international research publications. Named a 2013 Notable Computer Book for Information Systems by Computing Reviews One of the first books to present system parameter identification with information theoretic criteria so readers can track the latest developments Contains numerous illustrative examples to help the reader grasp basic methods

Kalman Filter Recent Advances and Applications

Author : Beata Akselsen
Publisher :
ISBN 13 : 9781681172675
Total Pages : 308 pages
Book Rating : 4.1/5 (726 download)

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Book Synopsis Kalman Filter Recent Advances and Applications by : Beata Akselsen

Download or read book Kalman Filter Recent Advances and Applications written by Beata Akselsen and published by . This book was released on 2016-04-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kalman filter is an algorithm that estimates the state of a system from measured data. It was predominantly developed by the Hungarian engineer Rudolf Kalman, for whom the filter is named. The filters algorithm is a two-step process: the first step predicts the state of the system, and the second step uses noisy measurements to refine the estimate of system state. There are now several variations of the original Kalman filter. The Kalman filter has plentiful applications in technology. A common application is for guidance, navigation and control of vehicles, particularly aircraft and spacecraft. Furthermore, the Kalman filter is a widely applied concept in time series analysis used in fields such as signal processing and econometrics. Kalman filters also are one of the main topics in the field of robotic motion planning and control, and they are sometimes included in trajectory optimization. Kalman filters are used for object tracking to predict an objects future location, to account for noise in an objects detected location, and to help associate multiple objects with their corresponding tracks. The output of the Kalman filter is denoted by the red circles and the object detection is denoted in black. Notice when the ball is occluded and there are no detections; the filter is used to predict its location. The purpose of the book entitled Kalman Filter Recent Advances and Applications is to provide an overview of recent developments in Kalman filter theory and their applications in engineering and scientific fields. This book corresponding to modern advances in Kalman filtering theory, solicitations in medical and biological sciences, tracking and positioning systems, electrical engineering and, finally, industrial processes and communication networks.

Optimal Filtering

Author : Brian D. O. Anderson
Publisher : Courier Corporation
ISBN 13 : 0486136892
Total Pages : 370 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Optimal Filtering by : Brian D. O. Anderson

Download or read book Optimal Filtering written by Brian D. O. Anderson and published by Courier Corporation. This book was released on 2012-05-23 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text extends studies of signal processing, particularly regarding communication systems and digital filtering theory. Topics include filtering, linear systems, and estimation; discrete-time Kalman filter; time-invariant filters; more. 1979 edition.

Optimal State Estimation

Author : Dan Simon
Publisher : John Wiley & Sons
ISBN 13 : 0470045337
Total Pages : 554 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Optimal State Estimation by : Dan Simon

Download or read book Optimal State Estimation written by Dan Simon and published by John Wiley & Sons. This book was released on 2006-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.

Tracking and Kalman Filtering Made Easy

Author : Eli Brookner
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Tracking and Kalman Filtering Made Easy by : Eli Brookner

Download or read book Tracking and Kalman Filtering Made Easy written by Eli Brookner and published by Wiley-Interscience. This book was released on 1998 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: TRACKING, PREDICTION, AND SMOOTHING BASICS. g and g-h-k Filters. Kalman Filter. Practical Issues for Radar Tracking. LEAST-SQUARES FILTERING, VOLTAGE PROCESSING, ADAPTIVE ARRAY PROCESSING, AND EXTENDED KALMAN FILTER. Least-Squares and Minimum-Variance Estimates for Linear Time-Invariant Systems. Fixed-Memory Polynomial Filter. Expanding- Memory (Growing-Memory) Polynomial Filters. Fading-Memory (Discounted Least-Squares) Filter. General Form for Linear Time-Invariant System. General Recursive Minimum-Variance Growing-Memory Filter (Bayes and Kalman Filters without Target Process Noise). Voltage Least-Squares Algorithms Revisited. Givens Orthonormal Transformation. Householder Orthonormal Transformation. Gram--Schmidt Orthonormal Transformation. More on Voltage-Processing Techniques. Linear Time-Variant System. Nonlinear Observation Scheme and Dynamic Model (Extended Kalman Filter). Bayes Algorithm with Iterative Differential Correction for Nonlinear Systems. Kalman Filter Revisited. Appendix. Problems. Symbols and Acronyms. Solution to Selected Problems. References. Index.

Advances in Cooperative Control and Optimization

Author : Michael Hirsch
Publisher : Springer
ISBN 13 : 3540743561
Total Pages : 426 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Advances in Cooperative Control and Optimization by : Michael Hirsch

Download or read book Advances in Cooperative Control and Optimization written by Michael Hirsch and published by Springer. This book was released on 2007-10-24 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Across the globe, the past several years have seen a tremendous increase in the role of cooperative autonomous systems. The field of cooperative control and optimization has established itself as a part of many different scientific disciplines. The contents of this hugely important volume, which adds much to the debate on the subject, are culled from papers presented at the Seventh Annual International Conference on Cooperative Control and Optimization, held in Gainesville, Florida, in January 2007.