GNSS Modulation: A Unified Statistical Description

A unifying framework for all signals employed by the Global Positioning System (GPS) and Galileo system is presented. The framework reconciles split-spectrum modulations under a single analytical formulation. The formulation allows for the derivation of closed-form equations for the autocorrelation function (ACF) and power spectral density (PSD) containing, as special cases, the corresponding functions for GPS and Galileo signals. Simulation studies and comparisons with existing expressions demonstrate the generality and accuracy of the proposed statistical description.