Bicomplex Representation and Processing of GNSS Signals

IF 3.1 3区地球科学 Q1 ENGINEERING, AEROSPACE

Navigation-Journal of the Institute of Navigation Pub Date : 2023-01-01 DOI:10.33012/navi.621

Daniele Borio

引用次数: 0

Abstract

Summary

Generalized binary offset carrier (BOC) modulations and global navigation satellite system (GNSS) meta-signals require advanced processing algorithms to overcome problems associated with their multi-peaked correlation functions. In this paper, bicomplex numbers are introduced for GNSS signal representation and for algorithm development. Bicomplex numbers generalize complex numbers and are characterized by four real components. These numbers have the potential to represent multicomponent signals, such as GNSS meta-signals, leading to a compact notation that allows effective derivations and algorithm development. Moreover, bicomplex numbers allow one to express a meta-signal as the product of a code, a carrier, and a subcarrier component: this representation leads to acquisition and tracking algorithms that are capable of effectively processing GNSS meta-signals, thus solving the code ambiguity problem. Theoretical developments are demonstrated using real data collected using software-defined radio front-ends for the Galileo alternative BOC modulation and the BeiDou B1I/B1C meta-signal.

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GNSS信号的双复表示与处理

广义二进制偏移载波(BOC)调制和全球导航卫星系统(GNSS)元信号需要先进的处理算法来克服其多峰相关函数的相关问题。本文将双复数引入GNSS信号表示和算法开发中。双复数是复数的推广，由四个实数组成。这些数字有可能表示多分量信号，如GNSS元信号，从而形成紧凑的符号，从而允许有效的推导和算法开发。此外，双复数允许将元信号表示为代码、载波和子载波组件的乘积:这种表示导致能够有效处理GNSS元信号的获取和跟踪算法，从而解决代码模糊问题。利用软件定义无线电前端收集的伽利略替代BOC调制和北斗B1I/B1C元信号的实际数据，演示了理论发展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Navigation-Journal of the Institute of Navigation ENGINEERING, AEROSPACE-REMOTE SENSING

CiteScore

5.60

自引率

13.60%

发文量

期刊介绍： NAVIGATION is a quarterly journal published by The Institute of Navigation. The journal publishes original, peer-reviewed articles on all areas related to the science, engineering and art of Positioning, Navigation and Timing (PNT) covering land (including indoor use), sea, air and space applications. PNT technologies of interest encompass navigation satellite systems (both global and regional), inertial navigation, electro-optical systems including LiDAR and imaging sensors, and radio-frequency ranging and timing systems, including those using signals of opportunity from communication systems and other non-traditional PNT sources. Articles about PNT algorithms and methods, such as for error characterization and mitigation, integrity analysis, PNT signal processing and multi-sensor integration, are welcome. The journal also accepts articles on non-traditional applications of PNT systems, including remote sensing of the Earth’s surface or atmosphere, as well as selected historical and survey articles.