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Optimal and Quasi-Optimal Reception of BOC Signals Based on Reassignment Algorithms in Perspective Global Navigation Satellite Systems

  • THEORY AND METHODS OF SIGNAL PROCESSING
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Abstract

In this paper, we solve the problem of synthesis of optimal and quasi-optimal algorithms for receiving and processing sinBOC signals and cosBOC signals intended for use in global navigation satellite systems (GNSS), such as GPS (USA), Galileo (European Union), GLONASS (Russia), and BeiDou (China) based on the Markov theory of estimation of random processes by the method of reassigning the parameters of the vector of continuous processes. The problem of optimal nonlinear filtering is solved in relation to a vector discrete-continuous Markov random process for the case when its continuous part is a vector diffusion Markov process while the discrete part is characterized by a simple Markov chain for several positions. Useful BOC signals are assumed to be observed against a background of additive white Gaussian noise. Analytical relations of optimal and quasi-optimal algorithms for receiving and processing GNSS BOC signals are obtained based on the step-by-step solution of the Stratonovich equation. A block diagram of a quasi-optimal system for receiving and processing BOC signals with reassigning parameters as applied to promising GNSS is presented. The method used in this study for solving the problem of synthesizing optimal and quasi-optimal algorithms for receiving BOC signals is completely applicable for those operating GNSS modes, in which BOC signals (i.e., meander noise-like signals (NLSs)) are not used, but traditional NLSs are used.

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The author declares that he has no conflict of interest.

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  1. Editorial Office, Radio Engineering and Electronics Journal, 125009, Moscow, Russia

    M. S. Yarlykov

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  1. M. S. Yarlykov
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Correspondence to M. S. Yarlykov.

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Translated by A. Ivanov

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Yarlykov, M.S. Optimal and Quasi-Optimal Reception of BOC Signals Based on Reassignment Algorithms in Perspective Global Navigation Satellite Systems. J. Commun. Technol. Electron. 67, 529–558 (2022). https://doi.org/10.1134/S106422692204012X

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