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Analyzing the Statistical Dynamics of Tracking Systems in Radio Receivers: The Problem of Nonlinear Methods

Igor N. Kartsan, imeni gazety, Vladimir A. Mironov, Dmitrii D. Dmitriev, Svetlana V. Efremova


The aim of the study discussed in this paper was to increase the selectivity during the tracking procedure for a small satellite on orbit. During this complex operation it is necessary to eliminate electromagnetic interference from nearby antenna feeds. It is necessary to mention that a discussion on the statistical dynamics of tracking systems in radio receivers in the context of remote sensing for environmental purposes has been given by us at the Russophone conference ‘Teoriia i praktika mezhdistiplinarnykh issledovanii [Theory and practice of interdisciplinary research]’(4–5 December 2017) held in Atlanta, GA (USA). In this paper, however, we will focus exclusively on the technical aspects of the assessment of the critical ratios (required front-to-back ratios) of signal to noise, which enable the functioning of radio receiving devices (receivers) in environments where there is a deficit of interference immunity with a probability of at least 0.9. The assessment has been performed using Markov’s chain (processes) on the basis nonlinear methods for analyzing the statistical dynamics of tracking systems and the theory of optimal filtering of data processes. The authors have arrived at the conclusion that the tracking system, despite the increase in the constellation of satellites, allows to constantly follow small satellites from the point of entry to the point of departure from the visibility zone of the ground-based flight control center. Further, tracking of the satellite is transferred to a network-enabled ground flight control station. The values of the minimal width of the equivalent band for a PLL radio receiving system were estimated at 20 Hz with the threshold ratio of noise to signal being 42 dB and 32 dB.

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