Nonlinear Bayesian Tracking Loops for Multipath Mitigation

Abstract

This paper studies Bayesian filtering techniques applied to the design of advanced delay tracking loops in GNSS receivers with multipath mitigation capabilities. The analysis includes tradeoff among realistic propagation channel models and the use of a realistic simulation framework. After establishing the mathematical framework for the design and analysis of tracking loops in the context of GNSS receivers, we propose a filtering technique that implements Rao-Blackwellization of linear states and a particle filter for the nonlinear partition and compare it to traditional delay lock loop/phase lock loop-based schemes.

Seismic Hazard Evaluation of the North and Northwest Iranian Plate Considering the Bayesian Perspective

“…e Bayesian statistical method is very important in seismic hazard analysis for two reasons. [16] First, the Bayesian theory is an accurate way to count seismic prior information.…”

Wavelet and power spectrum analysis of global navigation satellite system multipath error modeling and mitigation

“…In the high‐precision GNSS static positioning of short baselines, differential techniques can eliminate or reduce most types of satellite, receiver, and atmospheric errors, whereas multipath disturbances do not indicate any clear correlation at the starting and end points of the baselines 7–11 . GNSS multipath errors occur when GNSS signals travel from satellites; subsequently, because of reflection or diffraction to the surrounding objects, the signals reach the receiver via distinct paths 12,13 . The GNSS antenna receives signals from both direct and indirect paths, resulting in differences in the signal amplitude and phase 14,15 .…”

Correlator‐based multipath detection technique for a global positioning system/GNSS receiver

“…The second class of techniques alters the receiver tracking loop to make it resistant to MP signals. Some techniques that fall under this class include the narrow correlator [11], the edge correlator [12], the strobe correlator [12], the high‐resolution correlator [13], the gated correlator [14], the MP elimination technology [15], the a‐posteriori MP estimation technique [16] and the non‐linear Bayesian tracking loops [17]. The third class is based on joint detection and estimation of the LOS and/or MP signal parameters (amplitude, delay, and phase).…”