Kai Borre – författare

This text introduces the concepts and applications behind plane networks. The book presents features on: fundamental material includin linear algebra and differential equations; an examination of tools for analyzing discrete networks; transition from the discrete to the continuous case is described via finite elements; Green's functions; problems and examples; techniques applied to levelling; practical problems that underscore the continuous theory; and others.

Satellite navigation receivers are used to receive and decode satellite navigation signals, including those provided by the GPS constellation of satellites. There is an increasing need for a unified platform that will enable enhanced receiver development and design, as well as cost-effective testing procedures for various applications. This book explores the use of such new technologies in the area of satellite navigation receivers. In order to obtain a reconfigurable receiver with a wide range of applications, the authors discuss receiver architecture based on software-defined radio techniques. The presentation unfolds in a systematic user-friendly style and goes from the basics to cutting-edge research.Key features and topics include:* presentation of basic signal structures used in GPS and Galileo---the European satellite navigation system * design and implementation of a GPS signal generator using the simulated signals * analysis of three different methods of signal acquisition: the serial search, the parallel-frequency space search, and the newer method of parallel-code phase search * implementation of analyzed methods in MATLAB and a discussion of the choice of algorithms involved * MATLAB-based exercises * a hands-on method of testing the material covered in the book: hardware equipment---which may be purchased online---enables readers to generate real-world data, and downloadable MATLAB software---available at www gps.aau.dk/~borre/sw--- allows readers to change various parameters and immediately see their effect * bibliography of recent results and comprehensive index The book is aimed at applied mathematicians, electrical engineers, geodesists, and graduate students. It may be used as a textbook in various GPS technology and signal processing courses, or as a self-study reference for anyone working with satellite navigation receivers.

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.

Build and operate multi-GNSS and multi-frequency receivers with state-of-the-art techniques using this up-to-date, thorough, and easy-to-follow text. Covering both theory and practise, and complemented by MATLAB© code and digital samples with which to test it, this package is a powerful learning tool for students, engineers, and researchers everywhere. Suggestions of hardware equipment allow you to get to work straight away and to create your own samples. Concisely but clearly explaining all the fundamental concepts in one place, this is also a perfect resource for readers seeking an introduction to the topic.

Surely most geodesists have been occupied by seeking optimal shapes of a net­ work. I'm no exception. This book contains the more fruitful results on the topic. No matter how you choose to understand the adjective "optimal," it is no doubt useful as a beginning to understand error propagation in various types of net­ works. Basically, geodesists are familar with the actual, discrete network. So this book brings together some elementary means of analyzing networks with a few hundred points. The effectofchanging boundary conditions is especially studied. The variance propagation in the network is derived from covariance matrices. During a symposium in Oxford in 1973 geodesists were asking: Is it possible to create a special theory for geodetic networks? The key is that geodetic networks share a fundamental characteristic: The connections are local. Observations are taken between neighbors. The underlying graph has no edges connecting distant points. And we can obtain stable information about the global problem for the whole network by solving a simpler problem for a local neighborhood within the network. This bookalso deals with networktheory in acontinuousmode. When the num­ ber of points becomes very large, it is natural to look for a substitute for the dis­ crete method. The fruitful transition from discreteness to continuum is to let the distance between points tend to zero and at the same time boundcertain functions. A major step is to redefine the weights for all observationsas weightperunitarea.

This volume contains selected papers by Torben Krarup, one of the most important geodesists of the 20th century. The collection includes the famous booklet "A Contribution to the Mathematical Foundation of Physical Geodesy" from 1969, the unpublished "Molodenskij letters" from 1973, the final version of "Integrated Geodesy" from 1978, "Foundation of a Theory of Elasticity for Geodetic Networks" from 1974, as well as trend-setting papers on the theory of adjustment.