Journal Article10.1134/S0005117908060180
Algorithm of multithreshold decoding for Gaussian channels
V. V. Zolotarev,G. V. Ovechkin +1 more
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TL;DR: It was demonstrated that the multithreshold decoding efficiency is close to the results ensured by the optimum exhaustive search methods.
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Abstract: Major principles of the method of the linear codes multithreshhold decoding as search for the global functional extremum for a great number of variables are considered. It was demonstrated that the multithreshold decoding efficiency is close to the results ensured by the optimum exhaustive search methods. Decoding complexity under software and hardware realizations is evaluated.
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Citations
The Performance of Concatenated Schemes Based on Non-binary Multithreshold Decoders
V. V. Zolotarev,G. V. Ovechkin,Pavel Ovechkin,Dina Satibaldina,Nurlan Tashatov +4 more
- 01 Jan 2014
TL;DR: The SER performance of qMTD is shown to be close to the results provided by optimum total search methods, which are not realizable for non-binary codes in general.
11
Developing the principle of divergent coding for Gaussian channels
Zolotarev Valery,Grinchenko Natalya,Lotsmanov Alexey,Ovechkin Gennady +3 more
- 01 Jun 2018
TL;DR: Mutithreshold decoding for convolutional codes implementing optimization methods to correct errors based on the search of global extremum of functionals in discrete spaces are considered.
4
Divergence coding for convolutional codes
Zolotarev Valery,Ovechkin Gennady,Satybaldina Dina,Tashatov Nurlan,Egamberdiyev Eldor +4 more
- 01 Jan 2017
TL;DR: A new divergent multithreshold decoder for convolutional self-orthogonal codes contains two threshold elements that allow to approach area of its effective work to channel capacity approximately on 0,5 dB.
Usage of divergence within concatenated multithreshold decoding convolutional codes
V. V. Zolotarev,G. V. Ovechkin,P. V. Ovechkin,E. Egamberdiyev +3 more
- 01 Nov 2017
TL;DR: The present paper has considered multithreshold decoders for self-orthogonal codes providing a near-optimal efficiency of the error correction under linear computational complexity and shown that usage of new divergence principle allows significantly approximating an area of the decoder effective operation to the channel capacity.
2
On the Prospects of Optimization Theory
V.V. Zolotarev,G.V. Ovechkin +1 more
- 01 Mar 2020
TL;DR: The situation resulted from the solution of Shannon problem by optimization theory of error-correcting coding in the applied studies of coding theory is analyzed and the main ways to develop coding theory for the coming years and for the future are listed.
1
References
•Proceedings Article
Near Shannon limit error-correcting coding and decoding : Turbo-codes
Claude Berrou
- 01 Jan 1993