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GPS Signal Offset Detection and Noise Strength Estimation in a Parallel Kalman Filter Algorithm

This is a AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING report procured by the Pentagon and made available for public release. It has been reproduced in the best form available to the Pentagon. It is not spiral-bound, but rather assembled with Velobinding in a soft, white linen cover. The Storming Media report number is A377163. The abstract provided by the Pentagon follows: Measurements from Global Positioning System (GPS) satellites are subject to corruption by signal interference and induced offsets. This thesis presents two independent algorithms to ensure the navigation system remains uncorrupted by these possible GPS failures. The first is a parameter estimation algorithm that estimates the measurement noise variance of each satellite. A redundant measurement differencing (RMD) technique provides direct observability of the differenced white measurement noise samples. The variance of the noise process is estimated and provided to the second algorithm, a parallel Kalman filter structure, which then adapts to changes in the real-world measurement noise strength. The parallel Kalman filter structure detects and isolates signal offsets in individual GPS satellites. The offset detection algorithm calculates test statistics on each of the filters and makes decisions on whether to remove satellites from the solution based on these statistics. The two algorithms contain several user-defined parameters that have significant effects when adjusted. The various effects of parameter variation are described and a parameter set is chosen at which to evaluate the algorithms. The combined algorithm performs quite well in computer simulations.

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A Software-Defined GPS and Galileo Receiver: A Single-Frequency Approach (Applied and Numerical Harmonic Analysis)

Satellite navigation receivers are used to receive, process, and decode space-based navigation signals, such as those provided by the GPS constellation of satellites. There is an increasing need for a unified open platform that will enable enhanced receiver development and design, as well as cost-effective testing procedures for various applications. This book and companion DVD provide hands-on exploration of new technologies in this rapidly growing field.

One of the unique features of the work is the interactive approach used, giving readers the ability to construct their own Global Navigation Satellite Systems (GNSS) receivers. To construct such a reconfigurable receiver with a wide range of applications, the authors discuss receiver architecture based on software-defined radio (SDR) techniques. The presentation unfolds in a systematic, user-friendly style and goes from the basics to cutting-edge research.

Additional 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
* Presentation and analysis of different methods of signal acquisition-serial search; parallel-frequency space search; and parallel-code phase search-as well as code/carrier tracking and navigation data decoding
* A complete GPS software receiver implemented using MATLAB code as well as GPS and GIOVE-A signal records-available on the companion cross-platform DVD-allowing readers to change various parameters and immediately see their effects
* MATLAB-based exercises
* A hands-on method of testing the material covered in the book: supplementary front-end hardware equipment-which may be purchased at http://ccar.colorado.edu/gnss-enables readers working on a Windows or LINUX system to generate real-world data by converting analog signals to digital signals
* Supplementary course material for instructors available at http://gps.aau.dk/softgps
* 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

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