Stability of Two-Dimensional Recursive Filters

Stability of Two-Dimensional Recursive Filters

Author: Thomas S. Huang

Publisher:

Published: 1971

Total Pages: 21

ISBN-13:

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The paper discusses some aspects of the stability problem in two-dimensional recursive filtering. In particular, the author derives a simplified version of a stability theorem due to Shanks and shows that it is equivalent to some results of Ansell. The paper also gives several examples of stability tests and poses a few unsolved problems. (Author).


Recursive Filtering for 2-D Shift-Varying Systems with Communication Constraints

Recursive Filtering for 2-D Shift-Varying Systems with Communication Constraints

Author: Jinling Liang

Publisher: CRC Press

Published: 2021-09-05

Total Pages: 245

ISBN-13: 1000429296

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This book presents up-to-date research developments and novel methodologies regarding recursive filtering for 2-D shift-varying systems with various communication constraints. It investigates recursive filter/estimator design and performance analysis by a combination of intensive stochastic analysis, recursive Riccati-like equations, variance-constrained approach, and mathematical induction. Each chapter considers dynamics of the system, subtle design of filter gains, and effects of the communication constraints on filtering performance. Effectiveness of the derived theories and applicability of the developed filtering strategies are illustrated via simulation examples and practical insight. Features:- Covers recent advances of recursive filtering for 2-D shift-varying systems subjected to communication constraints from the engineering perspective. Includes the recursive filter design, resilience operation and performance analysis for the considered 2-D shift-varying systems. Captures the essence of the design for 2-D recursive filters. Develops a series of latest results about the robust Kalman filtering and protocol-based filtering. Analyzes recursive filter design and filtering performance for the considered systems. This book aims at graduate students and researchers in mechanical engineering, industrial engineering, communications networks, applied mathematics, robotics and control systems.


Two-Dimensional Digital Filters

Two-Dimensional Digital Filters

Author: Wu-Sheng Lu

Publisher: CRC Press

Published: 2020-08-11

Total Pages: 417

ISBN-13: 1000104567

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Presents basic theories, techniques, and procedures used to analyze, design, and implement two-dimensional filters; and surveys a number of applications in image and seismic data processing that demonstrate their use in real-world signal processing. For graduate students in electrical and computer e


Two-Dimensional Digital Filters

Two-Dimensional Digital Filters

Author: Wu-Sheng Lu

Publisher: CRC Press

Published: 2020-08-11

Total Pages: 420

ISBN-13: 1000147770

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Presents basic theories, techniques, and procedures used to analyze, design, and implement two-dimensional filters; and surveys a number of applications in image and seismic data processing that demonstrate their use in real-world signal processing. For graduate students in electrical and computer e


Digital Filtering in One and Two Dimensions

Digital Filtering in One and Two Dimensions

Author: M. Ahmadi

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 480

ISBN-13: 1489909184

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This book has been conceived to extend the generally published work on one- and two-dimensional digital filters in order to include some of the more recently developed ideas. It is intended to supplement and build on the classical books which cover the fundamental concepts of the topic. As a consequence of this, the basic theory is stated in a compact manner and is not developed thoroughly, as this would result in considerable duplication of existing books. The main theme of the book has been to provide a comprehensive background to the methods available for the realization of both recursive and nonrecursive digital filters, and to give an insight into some of the more recent implementation procedures. The book is planned to cover one- and two-dimensional systems in parallel, showing the techniques which are applicable in both areas, and also the limitations and constraints necessary when a one-dimensional technique is extended to systems of higher dimensionality. The theme of the book commences with several chapters on the design of filter transfer functions to meet given specifications. This is followed by a discussion of methods of implementing these in a practical system and the limitations imposed as a result of noise and finite word length. Finally, a discussion of some applications is included.