Fuzzy logic theory with applications to hybrid GPS and TDOA/AOA Positioning System

The paper integrates global positioning system (GPS) and global system for mobile communication (GSM) measurements form wireless communication network to solve the positioning problem in the case that the number of visible GPS satellites is not sufficient. Therefore, we propose how to select GPS and GSM system for positioning with fuzzy logic switch. With GPS, we use Fourier approximations to analyze the root mean square error (RMSE) and compare the difference between Taylor and Fourier approximations method. In addition, we use a hybrid time difference of arrival / angle of arrival (TDOA/AOA) location scheme that combine TDOA location with AOA location in GSM system. The solution is obtained by linearizing these equations via a Taylor-series expansion. For location estimator, we use the least square (LS) method for GSM location to obtain the solution of the TDOA/AOA location equations.