Mathematical Model of Non-Coherent-DLL Discriminator Output and Multipath Envelope Error for BOC (α, β) Modulated Signals

Khaled Rouabah, Chebir Saifeddine, Salim Atia, Mustapha Flissi, Djamel Chikouche

Electronics Department, LMSE Laboratory, University of Mohamed El-Bachir El-Ibrahimi, Bordj Bou Arréridj, Algeria.
Electronis Department, LIS Laboratory, University of M’sila, M’sila, Algeria.

DOI: 10.4236/pos.2013.41008                

Abstract

In this paper we propose the derivation of the expressions for the non-coherent Delay Locked Loop (DLL) Discriminator Curve (DC) in the absence and presence of Multipath (MP). Also derived, are the expressions of MP tracking errors in non-coherent configuration. The proposed models are valid for all Binary Offset Carrier (BOC) modulated signals in Global Navigation Satellite Systems (GNSS) such as Global Positioning System (GPS) and Future Galileo. The non-coherent configuration is used whenever the phase of the received signal cannot be estimated and thus cannot be demodulated. Therefore, the signal must be treated in a transposed band by the non-coherent DLL. The computer implementations show that the proposed models coincide with the numerical ones.

Keywords

BOC Modulation; GNSS; PRN Code; Multipath; Discriminator; Envelope Error

Conflicts of Interest

The authors declare no conflicts of interest.

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