Abstract
The critical importance of studies of alternative methods of representation and processing of signals constructed from pseudorandom sequences of maximal period is demonstrated. For the first time, it is proposed that a multidimensional nonlinear finite-difference representation of an arbitrary pseudorandom sequence be employed. A suboptimal algorithm for nonlinear discrete Kalman filtration of a pseudorandom sequence is obtained. A numerical example of filtration of a sequence formed on the basis of a given recurrence rule is considered and its efficiency is demonstrated.
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References
Chastikov, A.V., Petrov, E.P., and Prozorov, D.E., Methods of Filtration of Noise-like Signals Created with Recurrent Pseudorandom Sequences of Maximal Period, Radiotekh. Elektron., 2001, no. 5, pp. 553–557.
Varakin, L.E., Teoriya sistem signalov (Theory of Systems of Signals), Moscow: Sov. Radio, 1978.
Isermann, R., Digital Control Systems, Springer-Verlag, 2000.
Khutortsev, V.V., Sokolov, S.V., and Shevchuk, P.S., Sorvremennye printsipy upravleniya i fil’tratsii v stokhasticheskikh sistemakh (Modern Principles of Control and Filtration in Stochastic Systems), Moscow: Radio i Svyaz’, 2001.
Tikhonv, V.I. and Kharisov, V.N., Statisticheskii analiz i sintez radiotekhnicheskikh ustroistv i sistem (Statistical Analysis and Synthesis of Radio-technical Systems), Moscow: Radio i Svyaz’, 1991.
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Original Russian Text © S.V. Sokolov, P.A. Kucherenko, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 3, pp. 13–20.
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Sokolov, S.V., Kucherenko, P.A. Nonlinear suboptimal filtration of pseudorandom sequences. Aut. Conrol Comp. Sci. 41, 126–131 (2007). https://doi.org/10.3103/S0146411607030029
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DOI: https://doi.org/10.3103/S0146411607030029