VBOC2(alpha,1-alpha) Generalized Multidimensional Geolocation Modulation Waveforms

Ilir F. Progri

Abstract:	This paper presents the complete original definition of first generation Variable Binary Offset Carrier VBOC2(?,1-?) generalized multidimensional geolocation modulation waveforms, to improve the standardization of the United States DoD GPS, European Galileo, Russian GLONASS, Chinese Compass, Indian IRNSS in the L-band (1-2 GHz), and the United Nations International Telecommunications Union (ITU) GNSS or geolocation waveforms in the S-band (2-4 GHz) and C-band (4-8 GHz). In the paper it is argued that the selection of BOC(10,5) (or the military code or M-Code) on both GPS L1 and L2 frequencies is entirely arbitrary because BOC modulation is a special case of VBOC2(?,1-?) for ?=0 or ?=1; hence, all the current state-of-the-art GNSS waveforms exhibit sub-optimal signal design performance even at the end-user when generalized global objective functions are applied. VBOC2(?,1-?) pure signal design or broad definition of generalized autocorrelation function (ACF) and power spectral density (PSD) offers a unique signal design methodology and provides the necessary framework for VBOC2(?,1-?) ACF pure signal optimization to fill in substantial signal design gaps; hence, improving the GNSS signal design and standardization. Index Terms—Pulse generation, pulse amplitude modulation, pulse width modulation, multidimensional sequences, signal design, signal analysis, generalized functions, time-frequency analysis, minimization methods, optimization methods.
Published in:	Proceedings of the 2015 International Technical Meeting of The Institute of Navigation January 26 - 28, 2015 Laguna Cliffs Marriott Dana Point, California
Pages:	137 - 148
Cite this article:	Progri, Ilir F., "VBOC2(alpha,1-alpha) Generalized Multidimensional Geolocation Modulation Waveforms," Proceedings of the 2015 International Technical Meeting of The Institute of Navigation, Dana Point, California, January 2015, pp. 137-148.
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