Research On The Location Of Pseudo Satellites In High Precision Indoor Positioning System

With the increasingly weakness of GPS(Global Positioning System) in indoor positioning, and meanwhile, people's demand for indoor positioning is becoming more and more urgent, So the indoor positioning technology has been developed rapidly. The earliest pseudo satellites developed in order to assist the satellite positioning system, it gets more and more attention because of the advantages inherits from the GPS. The research on the application of the pseudo satellite in the indoor positioning is more and more deep, an important goal of the research is improving the accuracy of the positioning system. Positioning technology, positioning algorithm and positioning node layout are important factors affecting the accuracy of the positioning. In this paper, it analyzes the influence of the pseudo satellite layout on the positioning accuracy, when its positioning technology and positioning algorithm are determined.This paper is based on the range errer is zero mean Gauss model. And it gives the relative algorithm based on the TOA(Time Of Arrival) positioning principle. Mainly include the least square algorithm, the Taylor series expansion algorithm and approximate maximum likelihood positioning algorithm. The above algorithms are described in detail, and the algorithm is i mproved in theory, and the relative performance of several algorithms is analyzed by numerical simulation.When the positioning algorithm can reach the theoretical precision of CRLB(Cramer-Rao Lower Bound), analytic the CRLB formula of Single point target, it can get the direct relationship between the pseudo satellite position information and CRLB, ameliorating the placement position of the pseudo satellite to make the minimum value of the CRLB, in order to improve the positioning accuracy of the positioni ng systemThe study of the pseudo satellite layout of the regional target is more complex. The concept of conditional number is introduced into the analysis of two dimensional layout, can reduce the complexity of the layout research. And for three dimensional layout analysis, limiting the conditions to reduce the complexity of the layout research. Through the above correlation processing, the layout problem can be transformed into an optimal layout solution for the solution.A detailed study on the layout of the pseudo satellite network is studied in this paper, it provides a series of ideas and templates to improve the positioning accuracy. Meanwhile, the layout conclusion of this paper has provided important reference and scientific guidance for the pract ical application.