GNSS Multi-constellation Positioning Problem

Abstract

In this work we analyze the integration of multiple Global Navigation Satellite Systems to get the user position solution. We describe and analyze the different ways that the problem can arise and propose an approach to generalize them onto the same formulation. To solve the resulting problem, we propose two different numerical optimization techniques, the steepest descent method and the Quasi-Newton method. We validate and asses the performance of the proposed technique by means of simulation. Extensive simulations are also employed to analyze the solution availability and performance that the multi-constellation integration can offer. The enhancement obtained justifies the use of the proposed solution method.