Description of VBOC2(alpha1,alpha2) GMGM Special Cases Waveforms ACF---Theory, Computation, Simulations, and Animation

Ilir F. Progri

Abstract: The main purpose of this research is the continuation of the theoretical analysis, modelling, and simulation framework of futuristic generalized multidimensional geolocation modulation (GMGM) waveforms. It is already been established that GNSS waveforms that have been selected by the GNSS community have suboptimal performance in terms of the autocorrelation function (ACF) pure signal optimization (PSO) theoretical analysis, modelling, and simulation. This paper examines the description of VBOC2(alpha1, alpha2) GMGM special cases waveforms ACF-theory, computation, simulations, and animation^i . I believe that we know very little about animation and about the animation of the ACF of signals such as the description of VBOC2 (alpha1, alpha2) GMGM special cases waveforms. Therefore there are a number of reasons why the animation of the ACF of VBOC2 (alpha1, alpha2) GMGM special cases should be investigated in great detail. First, it is not really obvious or intuitive the connection that exists for all these special cases. Second, there appears to be at least two formulations of VBOC1(alpha) and of VBOC2(alpha, beta-) as special cases of VBOC2 (alpha1, alpha2). Third, these special cases serve now as building blocks. One should be able to easily generalize this work to produce the complete investigation of VBOC2(alpha1, alpha2). Fourth, for the first time we have produced animation of the computation of the ACF as a result of the direct integration. The inspection of the VBOC2(alpha1, alpha2) signals by means of the special cases of the animation of the ACF demonstrates that we have produced one hundred percent more efficient ACFs than the corresponding ACFs of both/either VBOC1(alpha) signals and/or VBOC2(alpha, beta-). 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 2020 International Technical Meeting of The Institute of Navigation
January 21 - 24, 2020
Hyatt Regency Mission Bay
San Diego, California
Pages: 830 - 848
Cite this article: Progri, Ilir F., "Description of VBOC2(alpha1,alpha2) GMGM Special Cases Waveforms ACF---Theory, Computation, Simulations, and Animation," Proceedings of the 2020 International Technical Meeting of The Institute of Navigation, San Diego, California, January 2020, pp. 830-848.
https://doi.org/10.33012/2020.17212
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