Post-Correlator Modeling for Fast Simulation and Joint Performance Analysis of GNSS Code and Carrier Tracking Loops

A.R. Golshan

Abstract:	An equivalent discrete-time model is developed for the early, prompt, and late correlators in a GNSS receiver operating in white Gaussian noise. Signal and noise at the output of the correlators are evaluated and characterized statistically as functions of the signaling waveform (NRZ(l) or BOC(ql,l)), carrier power to noise density ratio, early-late spacing, and the residual delay, phase and frequency offsets. On each iteration of the feedback loops, the equivalent model is used to generate the correlator outputs directly as functions of the feedback terms without explicitly carrying out the integrate and dump operation, which computationally is very intensive when implemented via accumulation of samples. Post-correlator modeling allows for the code and carrier tracking loop performances to be analyzed jointly in a Monte-Carlo simulation where GNSS signals are simulated on time intervals longer than previously possible. Numerical results are presented for several modernized GPS and Galileo signals. They include mean-time to cycle slip and mean-time to lose (delay) lock performance results for first and second order tracking loops.
Published in:	Proceedings of the 2006 National Technical Meeting of The Institute of Navigation January 18 - 20, 2006 Hyatt Regency Hotel Monterey, CA
Pages:	312 - 318
Cite this article:	Golshan, A.R., "Post-Correlator Modeling for Fast Simulation and Joint Performance Analysis of GNSS Code and Carrier Tracking Loops," Proceedings of the 2006 National Technical Meeting of The Institute of Navigation, Monterey, CA, January 2006, pp. 312-318.
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