Vestnik of Ryazan State
Radio Engineering University

UDC 621.396.988.6:629.19

DEVELOPING A MATHEMATICAL MODEL TO MAKE A DECISION ON SETTING UP SPOOFING CLUTTERS TO SATELLITE RADIO NAVIGATION SYSTEMS

I. A. Ermolaev, student of the Department of Radio Engineering Devices, RSREU, Ryazan, Russia;
orcid.org/0000-0003-0272-0696, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
I. M. Somov, student of the Department of Radio Engineering Systems, RSREU, Ryazan, Russia;
orcid.org/0000-0003-0272-0696, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I. S. Kholopov, Ph.D. (Tech.), Dean of the Faculty of Radio Engineering and Telecommunications, RSREU, Ryazan, Russia;
orcid.org/0000-0001-5220-0811, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

The solution to the problem of detecting the fact of setting up spoofing clutters to satellite radio navigation
systems by comparing navigation information from consumer equipment and auxiliary inertial navigation
system is considered. The aim of the work is to develop a mathematical model that implements the
simulation of navigation data from each of the systems, and to compare them with decision threshold. Geometrical
formulation of the problem and the algorithm to make a decision on setting up spoofing clutters are
presented. Mathematical modeling has been performed for the trajectory of the object with consumer navigation
equipment in ascending spiral with constant linear speed for the time interval of 120 sec length.

Key words: satellite radio navigation systems, spoofing clutters, inertial navigation systems, microelectromechanical sensors, Euler angles, quaternions, Kalman filter.

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UDC 621. 387.322

V. V. Zolotarev, Dr. Sc. (Tech.), full professor, Lead Researcher, SRI RAS, Moscow, Russia;
orcid.org/0000-0002-0277-6211, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
G. V. Ovechkin, Dr. Sc. (Tech.), full professor, Head of the Department, RSREU, Ryazan, Russia;
orcid.org/0000-0001-6887-2217, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Ch. T. Zhung, postgraduate student, RSREU, Ryazan, Russia; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Methods of simple implementation of concatenation in binary Gaussian channels based on multithreshold
decoders (MTD) for convolutional codes are considered. Cases of application in the second stage
of convolutional codes decoding for both binary and nonbinary classes, known in the Optimization Theory
(OT) as symbolic, are considered. A conclusion is made about a very simple implementation and about higher
efficiency characteristics of concatenated codes with MTD than those of the previous classical circuits
with Viterbi algorithm (VA) and Reed-Solomon (RS) (VA-RS) codes. It is noted that all schemes with MTD
have unlimited performance in hardware implementation. A very moderate increase in decoding delay is
indicated in comparison with non-concatenated versions of implementation, which is determined by the absence
of the need to use traditional two-dimensional concatenated structures.

Key words: 

error-correction coding, Gaussian channel, multithreshold decoder, error propagation,
symbolic code, concatenated scheme, convolutional codes, block codes, decoder complexity, throughput,
Optimization Theory, self-orthogonal code, Reed-Solomon code.

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UDC 621.371

USING REED – SOLOMON CODES IN UNDERWATER WIRELESS
OPTICAL COMMUNICATION CHANNEL WITH INTENSITY
CODE-PULSE MODULATION

L. V. Aronov, Senior lecturer, RSREU, Ryazan, Russia;
orcid.org/0000-0001-9010-3836, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Data transmission maximum distance in underwater wireless optical communication channel (UWOCC)
with pulse-code intensity modulation (PCM) is estimated. The aim of the work is to investigate the possibility
to use Reed-Solomon codes for increasing real time video data stream transmission distance, without increasing
radiation power. The article presents bit error rate (BER) modeling depending on the range for
various values of electrical bandwidth. The calculations were carried out for UWOCC without correcting
coding, as well as with Reed-Solomon codes. The use of Reed – Solomon codes is shown to provide a gain in
maximum range of not less than 38 meters with channel bandwidth of 100 MHz, not less than 32 meters with
channel bandwidth of 1 GHz, and not less than 30 meters with channel bandwidth of 10 GHz. The spread in
maximum length values lies in the range between 7 and 13 meters depending on electric channel bandwidth.

Key words: underwater optical wireless communication channel, optical wireless communication, free space optical channel, mathematical model, underwater communications systems.

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UDC 621.397.7

COMPARATIVE ANALYSIS OF ALGORITHMS FOR MULTISPECTRAL IMAGE FUSION

V. T. Dmitriev, Ph.D. (Tech.), head of department, RSREU, Ryazan, Russia;
orcid.org/0000-0001-5521-6886, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
P. N. Skonnikov, post-graduate student, RSREU, Ryazan, Russia;
orcid.org/0000-0002-4989-3757, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

The article shows the relevance of the problem for multispectral image fusion during search and rescue
operations. Well-known algorithms for such image fusion are considered and implemented. Based on the
publicly available datasets of multispectral images a combined database including 496 pairs of images has
been compiled to compare the algorithms considered. The results of image fusion using the considered algorithms
are obtained. The aim is to compare the known algorithms for multispectral image in terms of objective
quality indices. Comparison of fusion results was carried out by two criteria: Piella metric and combined
quality index. Based on the results of the comparison, it was concluded that the best values of combined
quality index for multispectral image fusion are provided by the algorithms based on local weighted
summation, principal components analysis and Laplace pyramid.

Key words: multispectral image fusion, local weighted summation, infrared range, objective quality index,Piella metric, image dataset, enhanced vision, rescue operations.

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