Assessing the Accuracy of Navigation Algorithms Using a Combined System of GPS Satellites and Pseudolites

The purpose of this work is to assess the accuracy of different navigation algorithms utilized for a combined system of GPS satellites and pseudolites. The algorithms under investigation are the ordinary pseudorange least square algorithm (LSA), single difference and double difference Kalman based algorithms, and the newly derived algorithm which employs the Doppler measurements. An integrity measure of the combined system for the different algorithms is also provided along with the navigation accuracy. A list of pros and cons for different algorithms follows the last section of the paper. Introduction The design and implementation of a robust, highly accurate filter has been the focus of our research in recent years. Initially, we attempted to design a filter, which would perform a CAT III precision landing utilizing only a system of pseudolites [1-2]. The filter design was based upon the technique of double difference and thus required a minimum of two receivers and two satellites in view in order to have one independent measurement all the time. The evaluation of the probability of false alarm and miss-detection was an important part of the