Analytical Models of Correlation Functions, DLL Discriminator Outputs and Multipath Envelope Errors for CosBOC(m, n) Modulated Signals in Coherent and Non-coherent Configurations

This paper focuses on analytically modeling the multipath error effects in the code tracking Delay-Locked-Loop (DLL) with standard and narrow early–late correlators of Global Navigation Satellite System (GNSS) for Cosine Binary Offset Carrier (CosBOC) modulated signal. The latter one will be part of the modernized American Global Positioning System (GPS), the Russian GLONASS (GLObal NAvigation Satellite System in English), the new European Galileo and the Chinese Compass/BeiDou systems, signal plan. The mathematical formalism of the analytical model of the Correlation Function is proposed for any CosBOC modulated signal. Also derived, are the models of the DLL Discriminator Functions and the Multipath Error Envelopes for both coherent and non-coherent configurations. The computer implementations have shown that all the proposed models match closely the numerical ones.