Spatial Error Analysis

"SPATIAL ERROR ANALYSIS is an all-in-one sourcebook on error measurements in one-, two-, and three-dimensional spaces. This book features exhaustive, systematic coverage of error measurement relationships, techniques, and solutions used to solve general, correlated cases. It is packed with 62 figures and 24 tables. MATLAB-based M-files* for practical applications created especially for this volume are available on the Web at ftp://ftp.mathworks.com/pub/books/hsu.

Solutions to two- and three-dimensional problems are presented without relying on equal standard deviations from each channel. They also make no assumption that the random variables of interest are independent or uncorrelated.


* MATLAB (developed by MathWorks, Inc.) must be purchased separately."


Sponsored by:
IEEE Aerospace and Electronic Systems Society. Preface.

List of Figures.

List of Tables.

Introduction.

Prameter Estimation from Samples.

One-Dimensional Error Analysis.

Two-Dimensional Error Analysis.

Three-Dimensional Error Analysis.

Maximum Likelihood Estimation of Radial Error PDF.

Position Location Problems.

Risk Analysis.

Appendix A: Probability Density Functions.

Appendix B: Method of Confidence Intervals.

Appendix C: Function of N Random Variables.

Appendix D: GPS Dilution of Precisions.

Appendix E: Listing of Author-Generated M-files.

Bibliography.

Index.

About the Author. About the Author David Y. Hsu is currently a member of the Senior Technical Staff with the Advanced Systems Analysis Group at Litton Guidance and Control Systems Division. Since 1982, his principal tasks have included gravity modeling/compensation, simulation, and analysis. He has authored over 20 scientific articles in the ION, IEEE Plans, NAECON proceedings, and other Mathematical/Engineering journals. Dr. Hsu received his B.S.E.E. from the National Taiwan University and his Ph.D. in Applied Mathematics from the University of Virginia. He has taught in the Electrical Engineering, Mathematics, and Computer Science departments of various universities in the United States as well as in the Taiwan province of China. He is a member of the Institute of Navigation and the Mathematical Association of America. Electrical Engineering Spatial Error Analysis A Unified Application-Oriented Treatment The involved computations required by spatial error problems, and the variety and number of error measures being used by engineers and scientists associated with aerospace, navigation, and Global Positioning Systems (GPS) can make finding a balance point between seller claims and buyer specifications a huge challenge. Spatial Error Analysis clearly defines the full range of error measures and shows the correct conversion from one to another so that comparison from a common ground can be achieved. Spatial Error Analysis is an all-in-one sourcebook on error measurements in one-, two-, and three-dimensional spaces. This book features exhaustive, systematic coverage of error measurement relationships, techniques, and solutions used to solve general, correlated cases. It is packed with 62 figures and 24 tables. MATLAB-based M-files^* for practical applications created especially for this volume are available on the Web at ftp://ftp.mathworks.com/pub/books/hsu. Solutions to two- and three- dimensional problems are presented without relying on equal standard deviations from each channel. They also make no assumption that the random variables of interest are independent or uncorrelated. ^* MATLAB (developed by Math Works, Inc.) must be purchased separately.