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Structural identification of pseudorandom sequences based on using the nonlinear Kalman filter

Sergey V. Sokolov, P. A. Kucherenko


This study has shown the relevancy of investigating new techniques for notation and processing of signals built on pseudorandom sequences (PRS) of the maximum period. For the first time an arbitrary PRS was represented in the form of a multidimensional nonlinear finite-difference structure. On the basis of the above representation it was proposed to use a nonlinear suboptimal discrete algorithm of Kalman filtration for the problem of structural identification of received PRS. A numerical example of filtration of the sequence generated in accordance with the specified recurrent rule was considered and its efficiency was also shown.

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L. E. Varakin, Theory of Signal Systems (Sov. Radio, Moscow, 1978) [in Russian].

Yu. A. Solov’ev, Satellite Navigation and Its Applications (Eko-Trends, Moscow, 2003) [in Russian].

M. A. Ivanova and I. V. Chugunkova, Theory, Application, and Quality Estimation of Pseudorandom Sequence Generators (Kudits-Obraz, Moscow, 2003) [in Russian].

A. V. Chastikov, E. P. Petrov, and D. E. Prozorov, “Filtration methods of noise-like signals formed on recurrent pseudorandom sequences of the maximum period,” Radiotekh. Elektron. 46, No. 5 (2001).

S. M. Yarlykova, “Mathematical models of the received noise-like signals in satellite systems of mobile communications with code division of channels,” Radiotekhnika, No. 12 (2002).

R. Izerman, Digital Control Systems (Mir, Moscow, 1984) [in Russian].

V. V. Khutortsev, S. V. Sokolov, and P. S. Shevchuk, State-of-the-Art Principles of Control and Filtration in Stochastic Systems (Radio i Svyaz’, Moscow, 2001) [in Russian].

V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Radio Devices and Systems (Radio i Svyaz’, Moscow, 1991) [in Russian].

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