VBOC1(alpha) GMGM Waveforms and ACF PSO: Part 2--Theory and Simulations

Ilir F. Progri

Abstract: This paper examines the VBOC1(alpha) generalized multidimensional geolocation modulation (GMGM) waveforms and the autocorrelation function (ACF) pure signal optimization (PSO) for the generalized subcarrier parameter frequency, (p = {1,...,8}). I.e., this paper is an extension of the work that was performed for VBOC1(alpha) GMGM waveforms and ACF PSO for the generalized subcarrier parameter frequency, (p = {1, 2, 3, 4}). There are a number of reasons why the extension of this work is important. First, it is neither really obvious nor intuitive how this extension is done. Second, so far no one has produced results to clearly demonstrate that this extension does not change the performance results VBOC1(alpha) GMGM waveforms and ACF PSO aside from my preliminary investigation. Third, this extension now serves as building block. One, should be able to easily extend this work for values of p = {9, 10, ..., infinity}; i.e., this work is really the closes thing to a complete poof that we can give. Afterwards, by employing any of the optimization algorithms such as sum, product, and MMSE on GPS L1C BOC(6,1) signals such as VBOC1(6,1,0.5) we are able to produce ACFs that are one hundred percent more efficient than the corresponding ACFs of the GPS L1C BOC(6,1) signals. Hence, we have the provision for a new L1C signal: TMVBOC(1,1,29/33,0.5) on the data and TMVBOC(6,1,4/33,0.5) on the pilot. 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 2017 International Technical Meeting of The Institute of Navigation
January 30 - 2, 2017
Hyatt Regency Monterey
Monterey, California
Pages: 20 - 50
Cite this article: Progri, Ilir F., "VBOC1(alpha) GMGM Waveforms and ACF PSO: Part 2--Theory and Simulations," Proceedings of the 2017 International Technical Meeting of The Institute of Navigation, Monterey, California, January 2017, pp. 20-50. https://doi.org/10.33012/2017.14870
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