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.

Highlights

  • This template, MP propagation is widely recognized as the main error source in Global Navigation Satellite Systems (GNSS) systems

  • 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)

  • The MP tracking performances depend on various signal and receiver parameters [2,3] like signal type of modulation scheme such as Binary Offset Carrier (BOC) [3] and Multiplexed BOC (MBOC) [4,5] modulations for Galileo signals and modernized Global Positioning System (GPS) signals [6] and Binary Phase Shift Keying (BPSK) for GPS signals [6], pre-correlation bandwidth and filter characteristics [7], type of Pseudo Random Noise (PRN) code, relative amplitude of MP signal, number of MP signals, MP delay, chip spacing between correlators in the DLL loop, type of discriminator used for tracking [8]

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Summary

Introduction

This template, MP propagation is widely recognized as the main error source in GNSS systems. In addition to the MP effect, another limitation exists in BOC and MBOC modulated signals due to the presence of side peaks in Correlation Function (CF) and the presence of several passages by zero in the DLL-DC which complicates the operation of the tracking process. For this reason various techniques are proposed for side peaks’ cancelation. The authors have proposed two other models which characterize respectively coherent DC and coherent MP tracking error These models are valid only for some categories of BOC (α, β) modulated signals. We end up by a comparison of the proposed models and the numerical ones based on computer implementations

Coherent DLL-DC and the Proposed Non-Coherent
C A GPS code chip spacing TC A and the parameter
M i 1
DM Segment
Proposed Non-Coherent MP Tracking Error
Test of the Proposed Closed form Solutions
Conclusion
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