Sun Xiyan, Song Shaojie, Ji Yuanfa, Gan Xingli, Yan Suqing, Jia Xizi
Guangxi Key Laboratory of Precision Navigation Technology and Application, Guilin University of Electronic Technology, Guilin 541004, China.
Information and Communication School, Guilin University of Electronic Technology, Guilin 541004, China.
Sensors (Basel). 2021 Mar 11;21(6):1982. doi: 10.3390/s21061982.
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(,) signals.
二进制偏移载波(BOC)调制是一种近年来已逐渐应用于全球卫星导航系统(GNSS)的新型调制方法。然而,由于其自相关函数(ACF)中存在多个峰值,它可能会导致误锁并产生同步模糊度。本文提出了一种基于重构相关函数的无模糊同步方法来解决模糊度问题。首先,通过本文构建的形状码向量,将获得BOC调制信号的广义互相关函数(CCF)表达式。基于信号相关函数的特性,将其分解为三角函数的矩阵形式。然后,使用特定方法生成两个本地信号波,接着通过重构接收信号与这两个本地信号之间的互相关来实现所提方法,从而获得无旁瓣相关函数。仿真表明,该方法完全消除了旁瓣威胁,并在BOC信号同步过程中显著消除了模糊度。本文还给出了捕获和跟踪的改进结构。论证了检测概率和码跟踪误差的详细理论推导,并给出了相应的鉴相函数。在所提方法的解模糊能力和检测概率性能方面,优于其他传统方法。其跟踪性能优于比较方法,且鉴相曲线仅有一个过零点,成功消除了误锁点。此外,在多径抑制方面,它优于BOC信号的ACF,并且对于BOC(,)信号的性能与自相关旁瓣消除技术(ASPeCT)相当。