Abstract

Binary offset carrier (BOC) modulation is a new modulation method that has been gradually applied to the Global Satellite Navigation System (GNSS) in recent years. However, due to the multi-peaks in its auto-correlation function (ACF), it will incur a false lock and generate synchronization ambiguous potentially. In this paper, an unambiguous synchronization method based on a reconstructed correlation function is proposed to solve the ambiguity problem. First, through the shape code vector constructed in this paper, the general cross-correlation function (CCF) expression of the BOC modulated signal will be obtained. Based on the features of the signal correlation function, it is decomposed into a matrix form of trigonometric functions. Then, it generates two local signal waves using a specific method, then the proposed method is implemented to obtain a no-side-peak correlation function by reconstructing the cross-correlation between the received signal and the two local signals. Simulations showed that it fully eliminates the side-peak threat and significantly removes the ambiguity during the synchronization of the BOC signals. This paper also gives the improved structure of acquisition and tracking. The detailed theoretical deduction of detection probability and code tracking error is demonstrated, and the corresponding phase discrimination function is given. In terms of de-blurring ability and detection probability performance, the proposed method outperformed other conventional approaches. The tracking performance was superior to the comparison methods and the phase discrimination curve only had a zero-crossing, which successfully removed the false lock points. In addition, in multipath mitigation, it outperformed the ACF of the BOC signal, and performs as well as the autocorrelation side-peak cancellation technique (ASPeCT) for BOC(kn,n) signals.

Highlights

  • In the future, binary offset carrier (BOC) modulation [1,2] will become the focus of design and research in the Global Navigation Satellite System (GNSS)

  • According to the general formula of the Binary offset carrier (BOC) signal correlation function given by Equation (6), the BOC auto-correlation function (ACF) is an image obtained by combining multiple shape code graphics

  • Synchronization ambiguity of BOC signals is a significant problem for modern high accuracy Global Satellite Navigation System (GNSS) applications

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Summary

Introduction

Binary offset carrier (BOC) modulation [1,2] will become the focus of design and research in the Global Navigation Satellite System (GNSS). (1) The BPSK-like [10] and modified sideband (MSB) [11] technique are two representative single-sideband algorithms, both of which use band-pass filters to deal BOC signals to obtain two side lobes They will achieve a wider main peak and wholly eliminate all the merits of BOC signal in synchronization. This paper will fully demonstrate the superiority of the synchronization algorithm from the following six aspects of de-blurring, detection probability, peak-to average ratio, code tracking accuracy, anti-multipath, and phase discrimination. Equation (6) can be applied into all BOC modulated signals to get correlation functions

Ambiguous Problem
Waveform Design of Local Code
Tracking Loop Structure
Complexity Analysis
Method Name
Detection Probability
Peak-to-Average Ratio Analysis
Anti-Noise Performance
Phase Discrimination Curve
Impact of Multipath
Findings
Conclusions
Full Text
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