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Complex Step-Shape Binary Offset Carrier Modulation for a Unitary Analytical Framework of GNSS Signals

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Abstract

The Binary Offset Carrier and Binary Coded Symbol modulation family is widely used in the existing Global Navigation Satellite Systems (GNSS). There are several modulation types in this family and new types are still being developed. However, the analysis of these modulations is still scarce of uniform theoretical frame. This paper presents a novel Complex Step-shape Binary Offset Carrier (CSBOC) modulation to build a unitary analytical framework for all these modulation types. This framework contains a unified signals expression based on the extended concept of step-shape symbols bits vector. It can denote sine and cosine phase, odd and even order, time division multiplex and complex modulations. Moreover, the unified formulas of important signal characteristics which include the power spectral density, the auto-correlation function, and the cross-correlation function are derived. The proposed formulas are verified through comparing with the results came from existing theories and signal simulations. The applications of the CSBOC in analyzing side-peaks cancellation methods of GNSS signals are also provided to show that this framework is a useful tool to analyze and design locally generated signals of side-peaks cancellation methods.

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Abbreviations

GNSS:

Global Navigation Satellite Systems

BOC:

Binary Offset Carrier

BPSK:

Binary Phase Shift Keying

ACF:

Auto correlation function

AltBOC:

Alternate Binary Offset Carrier

MBOC:

Multiplexed Binary Offset Carrier

CBCS:

Composite Binary Coded Symbols

BCS:

Binary Coded Symbol

PSD:

Power spectral density

CDBOC:

Complex Double Binary Offset Carrier

CCF:

Cross-correlation function

CSBOC:

Complex Step-shape Binary Offset Carrier

DSSS:

Direct Sequence Spread Spectrum

CBOC:

Composite Binary Offset Carrier

TMBOC:

Time Multiplexed Binary Offset Carrier

CSBOC:

Complex Step-shape Binary Offset Carrier

SCPC:

Sub carrier phase cancellation

ASPeCT:

Autocorrelation side-peak cancellation technique

PCF:

Pseudo correlation function

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Acknowledgments

This work was supported by National Nature Science Foundation of China (No. 61179004, 61179005).

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Authors and Affiliations

  1. Xi’an Research Institute of High Technology, Xi’an, 710025, China

    Jiawei Ren, Huihua Chen, Weimin Jia & Minli Yao

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  1. Jiawei Ren
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Correspondence to Jiawei Ren.

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Ren, J., Chen, H., Jia, W. et al. Complex Step-Shape Binary Offset Carrier Modulation for a Unitary Analytical Framework of GNSS Signals. Wireless Pers Commun 72, 1915–1934 (2013). https://doi.org/10.1007/s11277-013-1113-0

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