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Principles of Navigation, INS & Advanced Numerical Analysis

Global Positioning Systems, Inertial Navigation, & Integration
by Mohinder S. Grewal, Lawrence R. Weill, Angus P. Andrews

Hardcover 400 pages 1st edition (December 2000)
John Wiley & Sons; ISBN: 047135032X ; Dimensions (in inches): 1.08 x 9.61 x 6.54

Review
The Global Positioning System (GPS) may be used in conjunction with Inertial Navigation Systems (INS) for tracking and navigation. Already integrated into automobiles and hand held electronic devices, this technology is finding new and innovative applications in numerous industries. This title examines Kalman filtering, an essential element in the signal processing of these systems, enabling them to function effectively.

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Introduction to Random Signals & Applied Kalman Filtering with MATLAB Exercises
by Robert G. Brown, Patrick Y.C. Hwang (Contributor)

Hardcover 484pages 3rd edition (November 1996)
John Wiley & Sons; ISBN: 0471128392 ; Dimensions (in inches): 1.06 x 10.29 x 7.31

Review
This book spotlights applied Kalman filtering and provides the necessary introductory material on random signal analysis. It presents a clear and precise study of random signals and optimal filtering-filtering noise that corrupts the desired signal, without requiring sophisticated math skills. Emphasizes applications throughout, providing hands-on opportunities for readers to apply Kalman filtering.



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Applied Optimal Filtering
by Arthur Gleb (Editor)

Paperback 382 pages (May 1974)
MIT Press; ISBN: 0262570483 ; Dimensions (in inches): 0.75 x 8.99 x 5.97

Review
"I received the first copy of the book from my employers when I took a short-course in Kalman Filters to augment my systems knowledge for performing inertial navigation analysis work for missile engineering at TRW in Redondo Beach, CA. That was 20 years or so ago. I can say I have yet to see another book that can match or surpass this one in simplicity in explanations, background materials (linear algebra, linear differential equations, state variable theory - control systems aspect, and random processes), cover many varied areas of applications and nonlinear problems, present the practical discrete-time equations alongside the more theoretically based continuous-time equations and demonstrate their uses and meaning, and discuss practical implemetation issues, schematically depict difficult ideas, equations and concepts through well organized and coherent diagrams and tables, and design manageable and solvable problems as exercises for learning at the end of each chapter, all of these done in a small inexpensive paperback. "

 



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Tracking & Kalman Filtering Made Easy
by Eli Brookner

Hardcover 448 pages (April 1998)
Wiley - Interscience; ISBN: 0471184071 ; Dimensions (in inches): 1.15 x 9.45 x 6.40

Review
An introduction for readers with some background in radar but who are not at all familiar with radar tracking and or who have specialized knowledge in the field that they would like to broaden. Targeting an advanced undergraduate level, describes the filters in very simple physical and geometric approaches. Presents many design equations, procedures, and curves to allow readers to design tracking filters quickly and easily, and then determine their performance with no more than a pocket calculator. This book is about radar tracking and the use of filters, particularly Kalman Filters. Tracking of moving targets, such as satellites, is complicated by the introduction of errors into the measurements resulting from noise and non-uniform vehicle motion. Such errors are smoothed out by filters. The book covers these filters from very simple, physical and geometric approaches.



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Kalman Filtering : Theory & Practice Using MATLAB
by Mohinder S. Grewal, Angus P. Andrews

Hardcover (January 2001)
Wiley - Interscience; ISBN: 0471392545

Review
Provides readers with a working familiarity with both the theoretical and practical aspects of Kalman filtering. The latest edition incorporates suggestions from the authors' colleagues and students since the first edition came out, in 1993. The text is organized for use in an introductory course in stochastic processes at the senior level or for a first-year graduate-level course in Kalman filtering theory and application. Grewal teaches electrical engineering at California State U., Fullerton, and Andrews is a senior scientist at the Rockwell Science Center. The purpose of a Kalman filter is to estimate the state of a system from measurements that contain random errors. An example of this is estimating the position and velocity of a satellite from radar data. The book includes real-world problems in practice as illustrative examples and also covers the more practical aspects of implementation. In addition, it is accompanied by MATLAB files available on the Wiley ftp site, and also an instructor's manual.



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Linear Algebra, Geodesy, and GPS
by Gilbert Strang, K. Borre

Hardcover (October 1997)
Wellesley Cambridge Pr; ISBN: 0961408863

Review
This book provides a comprehensive look at the mathematical algorithms for optimizing measurements for geodesy and global positioning. It contains three major sections. The first is Linear Algebra, which is the fundamental tool in positioning calculations. The second is Geodesy, which includes the correct weightings for observation errors and least squares. The third is GPS, which is described on several levels: the basic system structure, the algorithms that yield accurate positions from inaccurate pseudoranges, and Kalman filtering for superior accuracy in postprocessing observations. A large library of MATLAB files is freely available with the book. It also includes a very nice section on the RINEX format.

Gilbert Strang

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Fundamentals of High Accuracy Inertial Navigation
by Averil B. Chatfield

Hardcover 339 pages Volume 174 (September 1997)
Amer. Inst. of Aeronautics; ISBN: 1563472430

Review
The primary focus of Fundamentals of High Accuracy Inertial Navigation is on the physical and mathematical principles forming the basis for inertial navigation. It differs from other books on the subject by treating aspects of the blend of inertial navigation technology and geodesy. Accuracy criteria and evaluation are also discussed. Fundamentals of High Accuracy Inertial Navigation is divided into three parts: inertial navigation, inertial navigation with aids, and accuracy analysis. The first two parts are designed to give the reader an understanding of the fundamentals without requiring knowledge of the statistical analysis techniques involved in determining the effects of errors on accuracy. The third part defines the criteria for determining accuracy and then leads the reader through the complex process of that determination.

 



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Fundamentals of Global Positioning System Receivers : A Software Approach
by James B-Y. Tsui

Hardcover 258 pages (May 2000)
Wiley Series; ISBN: 0471381543 ; Dimensions (in inches): 0.89 x 9.56 x 6.47

Review
Provides engineers who use and design GPS systems with a reference on the operational principles guiding this technology, with an emphasis on software-based signal processing. Covers all aspects of receiver technology as well as relevant navigation schemes, concentrating on civilian C/A code used by commercial GPS receivers, rather than military code. Describes GPS basics and satellites, examines signal structure and tracking, and presents mathematical formulas for calculating a user's position. Illustrates application of important equations using computer programs, and explains how to build hardware to collect digitized data for a software GPS receiver. The author is a researcher at the Air Force Research Laboratory.

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Modern Inertial Technology : Navigation, Guidance, & Control
by Anthony Lawrence

Hardcover 280 pages 2nd edition (December 1998)
Springer-Verlag Books; ISBN: 0387985077 ; Dimensions (in inches): 0.75 x 9.51x 6.37

Review
While some automatic navigation systems can use external measurements to determine their position (as the driver of a car uses road signs, or more recent automated systems use satellite data), others (such as those used in submarines) cannot. They must rely instead on internal measurements of the acceleration to determine their speed and position. Such inertial guidance systems have been in use since Word War II, and modern navigation would be impossible without them. This book describes the inertial technology used for guidance, control, and navigation, discussing in detail the principles, operation, and design of sensors, gyroscopes, and accelerometers, as well as the advantages and disadvantages of particular systems. An engineer with long practical experience in the field, the author elucidates the most recent developments in inertial guidance. Among these are fiber-optic gyroscopes, solid-state accelerometers, and the Global Positioning System. The book should be of interest to researchers and practicing engineers involved in systems engineering, aeronautics, space research, and navigation on land and on sea. This second edition has been brought up to date throughout, and includes new material on micromachined gyroscopes.



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The Global Positioning System and Inertial Navigation
by Matthew Barth and Jay A. Farrell

Hardcover 350 pages (January 1999)
McGraw Hill Text; ISBN: 007022045X ; Dimensions (in inches): 1.20 x 9.57 x 7.66

Review
No longer just a military or government application, inexpensive Global Positioning Systems (GPS) systems are now routinely installed in new cars and ships or purchased by individual for a few hundred dollars. This is an engineering reference for navigation system designers and operators, and satellite communication engineers, equally useful whether they are working in autos, telecommunications, or surveying.

4 stars

Jay Farrell

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