• Title/Summary/Keyword: Iterative codes

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Low Latency Algorithms for Iterative Codes

  • Choi, Seok-Soon;Jung, Ji-Won;Bae, Jong-Tae;Kim, Min-Hyuk;Choi, Eun-A
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.3C
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    • pp.205-215
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    • 2007
  • This paper presents low latency and/or computation algorithms of iterative codes of turbo codes, turbo product codes and low density parity check codes for use in wireless broadband communication systems. Due to high coding complexity of iterative codes, this paper focus on lower complexity and/or latency algorithms that are easily implementable in hardware and further accelerate the decoding speed.

Formulation of Joint Iterative Decoding for Raptor Codes

  • Zhang, Meixiang;Kim, Sooyoung;Kim, Won-Yong;Cho, Yong-Hoon
    • Journal of Korea Multimedia Society
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    • v.17 no.8
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    • pp.961-967
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    • 2014
  • Raptor codes are a class of rateless codes originally designed for binary erasure channels. This paper presents a compact set of mathematical expressions for iterative soft decoding of raptor codes. In addition, an early termination scheme is employed, and it is embedded in a single algorithm with the formula. In the proposed algorithm, the performance is enhanced by adopting iterative decoding, both in each inner and outer code and in the concatenated code itself between the inner and outer codes. At the same time, the complexity is reduced by applying an efficient early termination scheme. Simulation results show that our proposed method can achieve better performance with reduced decoding complexity compared to the conventional schemes.

New Stop Criterion for Reduce of Decoding Delay of Turbo Codes (터보부호의 복호지연 감소를 위한 새로운 반복중단 알고리즘)

  • Shim B. S.;Lee W. B.;Jeong D. H.;Lim S. J.;Kim T. H.;Kim H. Y.
    • Proceedings of the IEEK Conference
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    • 2004.06a
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    • pp.39-42
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    • 2004
  • Turbo codes, proposed by Berrou, that increase the interleaver size and the number of iteration have better than conventional convolutional codes, in case of BER performance. However, because turbo codes has been required much decoding delay to increase iteration number, it demands unnecessary iterative decoding. Therefore, in this paper, we propose iterative decoding stop criterion that uses the variance of absolute value of LLR. This algorithm can be reduced average iterative decoding number and had lossless performance of BER, because of decreasing unnecessary iterative decoding.

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Iterative Reliability-based Decoding of LDPC Codes with Low Complexity BEC Decoding (이진 소실 채널 복호를 이용한 신뢰기반 LDPC 반복 복호)

  • Kim, Sang-Hyo
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.14-15
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    • 2008
  • In this paper, a new iterative decoding of LDPC codes is proposed. The decoding is based on the posteriori probability of each belief propagation (BP) decoding and an additional postprocessing, that is, erasure decoding of LDPC codes. It turned out that the new method consistently improves the decoding performance on various classes of LDPC codes. For example it removes the error floor of Margulis codes effectively.

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Analysis of Optimum Iterative Codes for Underwater Acoustic Communication based on Turbo Equalizer (수중 음향통신에 적합한 터보 등화기 기반의 최적의 반복 부호 기법 연구)

  • Park, Tae-Doo;Jung, Ji-Won
    • Journal of Navigation and Port Research
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    • v.37 no.5
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    • pp.487-492
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    • 2013
  • Underwater acoustic communication has multipath error because of reflection by sea-level and sea-bottom. The multipath of underwater channel causes signal distortion and error floor. In order to improve the performance, it is necessary to employ an iterative coding scheme. Among the iterative coding scheme, turbo codes, LDPC codes and convolutional code based on BCJR algorithm are dominant channel coding schemes in recent. Therefore this paper analyzed the performance of iterative codes based on turbo equalizer with the same coding rate and similar codeword length. The performances of three kinds of iterative codes were evaluated in the environment of underwater acoustic communication channel that are real data collected in Korean east sea. The distance of transmitter and receiver was 5Km and data rate was 1Kbps. As a result, convolutional code based on BCJR algorithm has better performance in underwater channel than turbo codes and LDPC codes.

Low Complexity Decoder for Space-Time Turbo Codes

  • Lee Chang-Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.4C
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    • pp.303-309
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    • 2006
  • By combining the space-time diversity technique and iterative turbo codes, space-time turbo codes(STTCS) are able to provide powerful error correction capability. However, the multi-path transmission and iterative decoding structure of STTCS make the decoder very complex. In this paper, we propose a low complexity decoder, which can be used to decode STTCS as well as general iterative codes such as turbo codes. The efficient implementation of the backward recursion and the log-likelihood ratio(LLR) update in the proposed algorithm improves the computational efficiency. In addition, if we approximate the calculation of the joint LLR by using the approximate ratio(AR) algorithm, the computational complexity can be reduced even further. A complexity analysis and computer simulations over the Rayleigh fading channel show that the proposed algorithm necessitates less than 40% of the additions required by the conventional Max-Log-MAP algorithm, while providing the same overall performance.

LLR Based Generalization of Soft Decision Iterative Decoding Algorithms for Block Turbo Codes (LLR 기반 블록 터보 부호의 연판정 복호 알고리즘 일반화)

  • Im, Hyun-Ho;Kwon, Kyung-Hoon;Heo, Jun
    • Journal of Broadcast Engineering
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    • v.16 no.6
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    • pp.1026-1035
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    • 2011
  • This paper presents generalization and application for the conventional SISO decoding algorithm of Block Turbo Codes. R. M. Pyndiah suggested an iterative SISO decoding algorithm for Product Codes, two-dimensionally combined linear block codes, on AWGN channel. It wascalled Block Turbo Codes. Based on decision of Chase algorithm which is SIHO decoding method, SISO decoder for BTC computes soft decision information and transfers the information to next decoder for iterative decoding. Block Turbo Codes show Shannon limit approaching performance with a little iteration at high code rate on AWGN channel. In this paper we generalize the conventional decoding algorithm of Block Turbo Codes, under BPSK modulation and AWGN channel transmission assumption, to the LLR value based algorithm and suggest an application example such as concatenated structure of LDPC codes and Block Turbo Codes.

Performance Experimentation and an Optimal Iterative Coding Algorithm for Underwater Acoustic Communication (수중음향통신에서 최적의 반복부호 알고리즘 및 성능 실험)

  • Park, Gun-Yeol;Lim, Byeong-Su;Jung, Ji-Won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.11
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    • pp.2397-2404
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    • 2012
  • Underwater acoustic communication has multipath error because of reflection by sea-level and sea-bottom. The multipath of underwater channel causes signal distortion and error floor. In order to improve the performance, it is necessary to employ an iterative coding scheme. Among the iterative coding scheme, turbo codes and LDPC codes are dominant channel coding schemes in recent. This paper concluded that turbo coding scheme is optimal for underwater communications system in aspect to performance, coded word length, and equalizer combining. Also, decision directed phase recovery was used for correcting phase offset induced by multipath. Based on these algorithms, we confirmed the performance in the environment of oceanic experimentation.

Iterative Symbol Decoding of Variable-Length Codes with Convolutional Codes

  • Wu, Hung-Tsai;Wu, Chun-Feng;Chang, Wen-Whei
    • Journal of Communications and Networks
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    • v.18 no.1
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    • pp.40-49
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    • 2016
  • In this paper, we present a symbol-level iterative source-channel decoding (ISCD) algorithm for reliable transmission of variable-length codes (VLCs). Firstly, an improved source a posteriori probability (APP) decoding approach is proposed for packetized variable-length encoded Markov sources. Also proposed is a recursive implementation based on a three-dimensional joint trellis for symbol decoding of binary convolutional codes. APP channel decoding on this joint trellis is realized by modification of the Bahl-Cocke-Jelinek-Raviv algorithm and adaptation to the non-stationary VLC trellis. Simulation results indicate that the proposed ISCD scheme allows to exchange between its constituent decoders the symbol-level extrinsic information and achieves high robustness against channel noises.

Iterative Reliability-Based Modified Majority-Logic Decoding for Structured Binary LDPC Codes

  • Chen, Haiqiang;Luo, Lingshan;Sun, Youming;Li, Xiangcheng;Wan, Haibin;Luo, Liping;Qin, Tuanfa
    • Journal of Communications and Networks
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    • v.17 no.4
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    • pp.339-345
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    • 2015
  • In this paper, we present an iterative reliability-based modified majority-logic decoding algorithm for two classes of structured low-density parity-check codes. Different from the conventional modified one-step majority-logic decoding algorithms, we design a turbo-like iterative strategy to recover the performance degradation caused by the simply flipping operation. The main computational loads of the presented algorithm include only binary logic and integer operations, resulting in low decoding complexity. Furthermore, by introducing the iterative set, a very small proportion (less than 6%) of variable nodes are involved in the reliability updating process, which can further reduce the computational complexity. Simulation results show that, combined with the factor correction technique and a well-designed non-uniform quantization scheme, the presented algorithm can achieve a significant performance improvement and a fast decoding speed, even with very small quantization levels (3-4 bits resolution). The presented algorithm provides a candidate for trade-offs between performance and complexity.