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ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa
CURRENT PROBLEMS IN REMOTE SENSING OF THE EARTH FROM SPACE

  

Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2020, Vol. 17, No. 4, pp. 9-26

Overview of polar codes problems from Optimization Error Correction Coding Theory technologies points of view

ARTICLE RETRACTED BY THE EDITORS 19.07.2021
N.A. Kuznetsov 1 , V.V. Zolotarev 2 , G.V. Ovechkin 3 , R.R. Nazirov 2 , D.Zh. Satibaldina 4 , E.D. Omirbayev 4 
1 Kotelnikov Institute of Radioengineering and Electronics RAS, Moscow, Russia
2 Space Research Institute RAS, Moscow, Russia
3 Utkin Ryazan State Radio Engineering University, Ryazan, Russia
4 Gumilyov Eurasian National University, Astana, Republic of Kazakhstan
Accepted: 29.06.2020
DOI: 10.21046/2070-7401-2020-17-4-9-26
The general situation in the applied issues of coding theory is considered. The main problems in the field of decoding of error-correction codes are stated. The main attention in addition to error-correcting performance is paid to decoding complexity. The latest results in the field of decoding algorithms for polar codes (PC) are presented, as well as the main problems of their development. The application results of Optimization Theory (OT) and extremely limited materials available for PC are compared. The results for low density parity check (LDPC) codes are briefly mentioned. The results of performance comparison for PC and block version of Viterbi decoder (BVA) for short codes are presented. Also comparison of possibilities for PC and MTD algorithms, including using concatenation, was fulfilled. The main directions for the development and improvement of characteristics of OT algorithms are suggested. Based on the results of comparison, it has been concluded that there is an unconditional leadership of OT and no need to use PC and a number of other codes anywhere at all due to inevitably weak capabilities and a large list of shortcomings of decoders of these directions and methods of their development in research for new satellite and space communication projects, including remote sensing of Earth systems.
Keywords: Shannon boundary, channel capacity, algorithm complexity, polar codes, list decoding, optimal decoding, Optimization Theory, block viterbi algorithm, Reed – Solomon codes, low density parity check and turbo codes, multithreshold decoders, parallel concatenation, divergent principle, direct control metric decoders
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