D.S. Demidov – Post-graduate Student, Department «Computing and Applied Mathematics», Ryazan State Radio Engineering University

E-mail: dmitri-demidiv@yandex.ru

G.V. Ovechkin – Dr. Sc. (Eng.), Associate Professor, Professor, Department «Computing and Applied Mathematics», Ryazan State Radio Engineering University

E-mail: g_ovechkin@mail.ru

Mulththreshold decoders (MTD) for self-orthogonal codes (SOC) are discussed. It is shown MTD provides near to optimal decoding of codes chosen correctly. It is noted MTD hardly provides low bit error rates at high noise level due low code distance of SOC. Decreasing of bit error rate is able with using of submitted concatenated code consisting of outer SOC and inner accumulate code. It is shown the using of submitted code provides bit error rate decreasing in 4 and more decimal orders in field of suboptimal decoding of SOC.

1. K. Deergha Rao. Channel Coding Techniques for Wireless Communications. Springer. 2015. 394 p.
2. Digital Video Broadcasting (DVB); Second generation framing structure, channel coding and modulation system for Broadcasting, Services, News Gathering and other broadcasting satellite applications // European Telecommunications Standards Institute. 2014. 139 p.
3. Content Download System for Digital Broadcasting. Downloading Procedures (Methodologies) on Terrestrial Multimedia Broadcasting by the Connected Segment Transmission // Association of Radio Industries and Businesses. 2015. 88 p.
4. Zolotarev V.V., Zubarev Y.B., Ovechkin G.V. Optimization Coding Theory and Multithreshold Algorithms. Published in Switzerland by ITU. March 2016. 158 p.
5. Ullah M.A., Okada K., Ogivara H. Multi-Stage Threshold Decoding for Self-Orthogonal Convolutional Codes // IEICE Trans. Fundamentals. November 2010. V. E93-A. № 11. P. 1932−1941.
6. Ovechkin G.V., Zolotarev V.V., Averin S.V. Algorithm of multithreshold decoding for self-orthogonal codes over Gaussian channels // 11th ISCTA’09. July. UK. Ambleside. 2009.
7. Zolotarev V., Ovechkin G. Algorithm of multithreshold decoding for Gaussian channels // Automation and Remote Control. 2008. № 69. P. 1086−1100.
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9. Ovechkin G., Zolotarev V., Ovechkin P., Satibaldina D., Tashatov N. The Performance of Concatenated Schemes Based on Non-binary Multithreshold Decoders // Advances in Systems Science. Springer International Publishing. 2014. V. 240. P. 251−259.
10. Ovechkin G., Ovechkin P., Satybaldina D., Beisebekova A., Tashatov N. Improving Performance of Non-Binary Multithreshold Decoder’s Work Due to Concatenation // Proc. 18th Int. Conf. on Communications (part of CSCC '14). Santorini Island. Greece. 17−21 July 2014. P. 100−104.
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12. Zhang Y., Ryan W.E. Structured IRA Codes: Performance Analysis and Construction // IEEE Trans. Comm. 2007. V. 55. № 5. P. 837−844.
13. Abbasfar A., Divsalar D., Yao K. Accumulate-Repeat-Accumulate Codes // IEEE Trans. Comm. April 2007. V. 55. № 4.
14. Ovechkin G.V. Teoriya kaskadnogo dekodirovaniya linejny'x kodov dlya czifrovy'x radiokanalov na osnove mnogoporogovy'x algoritmov. Doktorskaya dissertacziya. Ryazan'. 2011. 301 s. 15. Ardakani M. Efficient Analysis, Design and Decoding of Low-Density Parity-Check Codes // Ph.D. dissertation. University of Toronto. 2004.