ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 6. Vol. 24. 2018

DOI: 10.17587/it.24.427-432

L. E. Nazarov, D. Sc., Leading Researcher, e-mail: nazarov@ire.rssi.ru, Kotel'nikov Institute of Radio-Engineering and Electronics of RAS, Fryazino, P. V. Shishkin, e-mail: p_v_s@bk.ru, JSC Academician M. F. Reshetnev "Information Satellite Systems", Zheleznogorsk

The Characteristics of Error-Ñorrecting Block Turbo-Codes Based on Low-Density Parity-Check Codes

The focus of this paper is directed towards the investigation of the characteristics of error-correcting block turbo-codes which enable communication at relatively low received signal/noise and provide very high power efficiency. Specific feature of investigated turbo-codes is construction with usage of low-density parity-check codes (LDPC) and these turbo-codes are in the class of LDPC too. According to this fact the considered turbo-codes have symbol-by-symbol decoding algorithms developed for total class LDPC codes, namely, BP (belief propagation) and BP modification (mBP) decoding algorithms. The BP and mBP decoding algorithms are iterative and for that implementation the signal/noise is not required. The resulted characteristics of turbo-codes constructed with usage of LDPC based on Euclidean geometry (namely, duration of code words, information volume, code rate, error performances) are presented in this paper. These component LDPC codes are cyclic and have encoding and decoding algorithms with low complexity implementation. The computer simulations for encoding and iterative decoding algorithms for the number of turbo-codes with different code rate and information volumes are performed. The results of computer simulations have shown that the mBP decoding algorithm is more effective than BP decoding algorithm (difference between signal/noise is more 0.2 dB). The simulations have shown that the error performances of investigated turbo-codes are better than that for convolutional codes with equivalent code rate 1/3, the degradation is about 2 dB for bit-error 0.00001.
Keywords: block product codes, low-density parity-check codes, iterative decoding

P. 427–432

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