Relaxed direct position estimation as strategy for open-loop GNSS receivers

Direct Position Estimation (DPE) approach fully exploits geometrical relationships between receiver and observable global navigation satellite system satellites. In this paper, we present a novel method based on this approach especially suitable for navigation receivers implemented on the open-loop batch signal processing architecture. In contrast to DPE, the method brings benefits in terms of computational complexity whereas the position accuracy degradation is minimal. We make a performance comparison using an extensive Monte Carlo simulation that includes navigation signals buried in additive white Gaussian noise, as well as a realistic satellite constellation.