# Algorithms for Global Positioning

## Gilbert Strang; Kai Borre

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Good mathematics and great technology now produce highly accurate positions (latitude, longitude, and height). This book describes the ideas, the hardware, and the algorithms that make this accuracy possible.

Here is how the process happens: satellites broadcast their positions (and those signals contain their departure times); receivers decode the signals (and establish their arrival times); an algorithm using the speed of light multiplied by the travel times gives the distances from the satellites to the receiver (the pseudoranges); four or more pseudoranges determine the X, Y, and Z position of the receiver; and new satellites and new receivers, together with least squares and Kalman filters, reduce the errors in position, signal speed, and signal path.

The authors present the essential ideas in two ways: words and equations to explain the algorithms; and MATLAB® codes to implement the algorithms. The reader will want to learn (in both ways) how this astonishing system works. This book aims to help. Contents: Preface and Outline; Abbreviations; The Fundamental Theorem of Linear Algebra; A GPS Software Receiver; Part I: Satellite Signals and Coordinate Systems; 1: Essential Ideas and Applications of GNSS; 2: GNSS Signals and Modulations; 3: Change of Coordinate Systems; Part II: Optimal Estimates; 4: Random Variables and Covariance Matrices; 5: Random Processes; 6: Linear Algebra for Weighted Least Squares; 7: Singular Normal Equations and Networks; 8: Kalman Filters; Part III: Positioning Algorithms; 9: Receiver Position from One-Way Pseudoranges; 10: Differences on One-Way Observations; Part IV: Geodesy and Earth Coordinates; 11: Geometry of the Ellipsoid; 12: Conformal Mappings of the Ellipsoid; Glossary; Bibliography; Index of M-Files; Index

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Book Description:

A detailed and self-contained guide to the mathematical and algorithmic aspects of GPS, complete with numerous ready-made MATLAB codes for the reader. Ideal for engineers and researchers who wish to master both the theory and practical application of GPS technology.

Kai Borre is a professor in geodesy at Aalborg University, Denmark. For more than 30 years Borre has conducted research and performed education in the area of satellite based positioning. In 1996 he established the Danish GPS Center and since 2000 has been head of a two-year international M.Sc. program in GPS technology. Borre is a coauthor of the widely used textbooks, Linear Algebra, Geodesy, and GPS and A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach.

Gilbert Strang is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College, Oxford University. He is also a prolific author, with a dozen highly regarded textbooks and monographs to his credit. Strang served as SIAM's president from 1999-2000 and chaired the U.S. National Committee on Mathematics from 2003-4. He won the Henrici and Su Buchin prizes at ICIAM 2007 and the Von Neumann Medal of the U.S. Association of Computational Mechanics. He is a SIAM Fellow and a member of the National Academy of Sciences.

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## 1.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge Press (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
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Descripción Wellesley-Cambridge Press, 2012. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FM-9780980232738

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## 2.Algorithms for Global Positioning (Hardback)

Editorial: Wellesley-Cambridge Press,U.S., United States (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
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The Book Depository
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Descripción Wellesley-Cambridge Press,U.S., United States, 2012. Hardback. Estado de conservación: New. UK ed.. Language: English . Brand New Book. The emergence of satellite technology has changed the lives of millions of people. In particular, GPS has brought an unprecedented level of accuracy to the field of geodesy. This text is a guide to the algorithms and mathematical principles that account for the success of GPS technology and replaces the authors previous work, Linear Algebra, Geodesy, and GPS (1997). An initial discussion of the basic concepts, characteristics and technical aspects of different satellite systems is followed by the necessary mathematical content which is presented in a detailed and self-contained fashion. At the heart of the matter are the positioning algorithms on which GPS technology relies, the discussion of which will affirm the mathematical contents of the previous chapters. Numerous ready-to-use MATLAB codes are included for the reader. This comprehensive guide will be invaluable for engineers and academic researchers who wish to master the theory and practical application of GPS technology. Nº de ref. de la librería AAA9780980232738

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## 3.Algorithms For Global Positioning

ISBN 10: 0980232732 ISBN 13: 9780980232738
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Descripción Estado de conservación: New. Nº de ref. de la librería 16232026-n

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## 4.Algorithms for Global Positioning (Hardback)

Editorial: Wellesley-Cambridge Press,U.S., United States (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Wellesley-Cambridge Press,U.S., United States, 2012. Hardback. Estado de conservación: New. UK ed.. Language: English . Brand New Book. The emergence of satellite technology has changed the lives of millions of people. In particular, GPS has brought an unprecedented level of accuracy to the field of geodesy. This text is a guide to the algorithms and mathematical principles that account for the success of GPS technology and replaces the authors previous work, Linear Algebra, Geodesy, and GPS (1997). An initial discussion of the basic concepts, characteristics and technical aspects of different satellite systems is followed by the necessary mathematical content which is presented in a detailed and self-contained fashion. At the heart of the matter are the positioning algorithms on which GPS technology relies, the discussion of which will affirm the mathematical contents of the previous chapters. Numerous ready-to-use MATLAB codes are included for the reader. This comprehensive guide will be invaluable for engineers and academic researchers who wish to master the theory and practical application of GPS technology. Nº de ref. de la librería AAA9780980232738

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## 5.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge Press (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
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Descripción Wellesley-Cambridge Press, 2012. Estado de conservación: New. 2012. Hardcover. Num Pages: 450 pages, Illustrations. BIC Classification: UMB; UY. Category: (U) Tertiary Education (US: College). Dimension: 259 x 180 x 27. Weight in Grams: 980. 450 pages, Illustrations. Cateogry: (U) Tertiary Education (US: College). BIC Classification: UMB; UY. Dimension: 259 x 180 x 27. Weight: 982. . . . . . . Nº de ref. de la librería V9780980232738

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## 6.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge Press,U.S.
ISBN 10: 0980232732 ISBN 13: 9780980232738
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THE SAINT BOOKSTORE
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Descripción Wellesley-Cambridge Press,U.S. Hardback. Estado de conservación: new. BRAND NEW, Algorithms for Global Positioning, Gilbert Strang, Kai Borre. Nº de ref. de la librería B9780980232738

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## 7.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge Press (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
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Descripción Wellesley-Cambridge Press, 2012. Estado de conservación: New. book. Nº de ref. de la librería ria9780980232738_rkm

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## 8.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge Press
ISBN 10: 0980232732 ISBN 13: 9780980232738
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Kennys Bookstore
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Descripción Wellesley-Cambridge Press. Estado de conservación: New. 2012. Hardcover. Num Pages: 450 pages, Illustrations. BIC Classification: UMB; UY. Category: (U) Tertiary Education (US: College). Dimension: 259 x 180 x 27. Weight in Grams: 980. 450 pages, Illustrations. Cateogry: (U) Tertiary Education (US: College). BIC Classification: UMB; UY. Dimension: 259 x 180 x 27. Weight: 982. . . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780980232738

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## 9.Algorithms for Global Positioning

Editorial: Wellesley-Cambridge (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738
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Revaluation Books
(Exeter, Reino Unido)
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Descripción Wellesley-Cambridge, 2012. Hardcover. Estado de conservación: Brand New. 450 pages. 9.75x7.00x1.00 inches. In Stock. Nº de ref. de la librería __0980232732

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## 10.Algorithms for Global Positioning Hardback

Editorial: Wellesley-Cambridge Press (2012)
ISBN 10: 0980232732 ISBN 13: 9780980232738