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IEEE TRANSACTIONS ON INFORMATION THEORY 1995年第5期41卷 1475-1479页

作者： BARBERO, AI TENA, JG UNIV VALLADOLID DEPT ALGEBRA GEOMETRY & TOPOLE-47011 VALLADOLIDSPAIN

Formulas to compute the first members of the weight hierarchy of a product code are given and proved. Basic patterns for the supports of subcodes in which the minimum cardinalities can be found are presented. Hence, formulas for every term of the hierarchy can be given, and the proof for each case will be a generalization of the proofs shown here.

关键词： product code HIERARCHY OF A LINEAR code

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Multirate asynchronous optical CDMA system with product code

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IEE PROCEEDINGS-COMMUNICATIONS 2002年第5-6期149卷 299-302页

作者： Liu, MY Tsao, HW Natl Taiwan Univ Dept Elect Engn Taipei 107 Taiwan Natl Taiwan Univ Grad Inst Commun Engn Taipei 107 Taiwan

The authors propose a new architecture for a multirate asynchronous optical CDMA (code division multiple access) system. An optical orthogonal code (OOC) is employed as the signature sequence. The serial multirate data is converted into parallel information bits and then transmitted simultaneously via spatial channels. Exploiting the essence of parallel transmission of spatial channels, the product code (i.e. rectangular code) through an extra protection channel performs error control, which can significantly improve the system performance. The authors' proposed scheme requires only one laser diode, sequence encoder and product-coded encoder/decoder. Moreover, the adverse impact of multiple access interference, APD (avalanche photodiode) noise and thermal noise are taken into consideration in system performance analysis.

关键词： codes spatial channels multiple access interference Multiple access communication optical orthogonal code thermal noise avalanche photodiode noise rectangular code OOC serial multirate data APD error control product code Optical fibre networks protection channel parallel information bits parallel transmission code division multiple access multirate asynchronous optical CDMA system signature sequence telecommunication channels codes optical fibre networks

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Constant amplitude multi-code CDMA with built-in single parity check product code

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IEEE COMMUNICATIONS LETTERS 2006年第1期10卷 4-6页

作者： Kim, YC Univ Seoul Dept Elect & Comp Engn Seoul South Korea

We show that a constant amplitude multi-code (CAMC) CDMA in a recursive structure can be reconfigured into a single parity check product code (SPCPC). CAMC can benefit from error correction by parity decoding. We present an algorithm which reconfigures CAMC into an SPCPC structure and then refines the log likelihood ratio of the received bits in an iterative way. Computer simulation results show that CAMC has a superior performance of error correction than a generic SPCPC. Hence, CAMC provides both a low PAPR and robustness to bit errors.

关键词： CDMA error correction multi-code PAPR product code

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Interleaving and decoding scheme for a product code for a mobile data communication

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IEEE TRANSACTIONS ON COMMUNICATIONS 1997年第2期45卷 144-147页

作者： Yi, CH Lee, JH SEOUL NATL UNIV DEPT ELECT ENGNSEOUL 151742SOUTH KOREA SEOUL NATL UNIV SCH ELECT ENGNSEOUL 151742SOUTH KOREA

In this letter, we propose anew ordered decoding scheme for a product code for mobile data communications, The ordered decoding scheme determines the order of decoding for both row and column component codewords according to the probability of decoding the component codeword correctly, Component codewords are decoded independently, To randomize burst errors in both row and column codewords, a diagonal interleaving scheme is used for code symbols in the codeword, It is shown that the ordered decoding scheme combined with diagonal interleaving improves the performance of a product code with reasonably long code length for mobile data communications.

关键词： diagonal interleaving ordered decoding mobile communication product code

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Iterative LDPC-LDPC product code for Bit Patterned Media

Iterative LDPC-LDPC Product Code for Bit Patterned Media

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Asia-Pacific Magnetic Recording Conference (APMRC)

作者： Jeong, Seongkwon Lee, Jaejin Soongsil Univ Sch Elect Engn Seoul 06978 South Korea

ISBN: (纸本)9781509021246

Bit patterned media aims at high density recording of more than 10 Tb per square inch, but a burst error mostly occurred by media defects, and data write failure can be a serious problem. However, if the burst errors are compensated by erasure decoding, the performance of low-density parity check (LDPC) code, which is a strong candidate for the error correcting code for storage systems, can be improved. In this paper, we propose an iterative LDPC-LDPC product code and show that it performs better than a simple LDPC-LDPC product code when there are only random errors and both random and burst errors.

关键词： Bit patterned media (BPM) burst error low-density parity check (LDPC) code product code

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Iterative Channel Detection With LDPC product code for Bit-Patterned Media Recording

Iterative Channel Detection With LDPC Product Code for Bit-P...

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IEEE International Magnetics Conference (Intermag)

作者： Jeong, Seongkwon Lee, Jaejin Soongsil Univ Dept ICMC Convergence Technol Seoul 06978 South Korea

ISBN: (纸本)9781538610879

Because of the explosion in data growth, the requirement for high-density storage systems has increased. Bit-patterned media recording (BPMR) is a candidate for the next-generation magnetic recording systems, and its many advantages facilitate the achievement of recording densities of 1 Tb/in(2) and beyond. In BPMR, each information bit is represented by a magnetic island;however, due to the small spacings between the along- and across-track islands that are for the achievement of a high areal density, severe extents of the inter-symbol interference and inter-track interference appear. These error factors degrade the system performance of the recording system. In this paper, an iterative channel detection scheme with a low-density parity check (LDPC) product code for which the extrinsic information between the soft output Viterbi algorithm and the LDPC product code is used for the BPMR is proposed. For the improvement of the BPMR performance, the modified extrinsic information data are exploited.

关键词： Bit-patterned media recording (BPMR) burst error low-density parity check (LDPC) code product code

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Novel UEP product code Scheme with Protograph-based Linear Permutation and Iterative Decoding for Scalable Image Transmission 18

Novel UEP Product Code Scheme with Protograph-based Linear P...

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18th IEEE International Workshop on Multimedia Signal Processing (MMSP)

作者： Wu, Huihui Dumitrescu, Sorina McMaster Univ Dept Elect & Comp Engn Hamilton ON Canada

ISBN: (纸本)9781509037247

This paper introduces a linear permutation module before the inner encoder of the iteratively decoded product coding structure, for the transmission of scalable bitstreams over error-prone channels(1). This can improve the error correction ability of the inner code when some source bits are known from the preceding outer code decoding stages. The product code consists of a protograph low-density parity-check code (inner code) and Reed-Solomon (RS) codes of various strengths (outer code). Further, an algorithm relying on protograph-based extrinsic information transfer analysis is devised to design good base matrices from which the linear permutations are constructed. In addition, an analytical formula for the expected fidelity of the reconstructed sequence is derived and utilized in the optimization of the RS codes redundancy assignment. The experimental results reveal that the proposed approach consistently outperforms the scheme without the linear permutation module, reaching peak improvements of 1:98 dB and 1:30 dB over binary symmetric channels (BSC) and additive white Gaussian noise (AWGN) channels, respectively.

关键词： product code linear permutation iterative decoding protograph code progressive transmission LDPC codes

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EMPC-SA: Error Correction Scheme using Modified product code for Space Applications 13

EMPC-SA: Error Correction Scheme using Modified Product Code...

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13th Brazilian Symposium on Computing Systems Engineering (SBESC)

作者： Magalhaes, Joao Freitas, David Junior, Otavio Marcon, Cesar Inst Fed Educ Ciencia & Tecnol Ceara IFCE Maracanau Brazil Pontificia Univ Catolic Rio Grande Sul PUCRS Porto Alegre RS Brazil

ISBN: (纸本)9798350394108

The advancement of semiconductor technology has significantly increased data density, enabling the storage and processing of vast amounts of information. However, this higher data concentration makes the system more vulnerable to radiation-induced errors, especially in critical applications like space. Radiation can cause temporary errors in multiple bits, referred to Multiple-Bit Upset (MBU), that traditional codes like Hamming cannot correct, thus emerging more powerful codes like the Two-Dimensional Error Correction codes (2D-ECCs). This paper proposes a 2D-ECC named Error correction scheme using a Modified product code for Space Applications (EMPC-SA), a product of two codes with fewer bits than traditional product codes. Each row and column of EMPC-SA is associated with a linear code consisting of three parity bits. The code was implemented using 16 data bits. The results of this work demonstrate that EMPC-SA achieves 100% error correction when 36 frequent error patterns from one to four bitflips are confined within the data matrix.

关键词： Error Correction code (ECC) Multiple-Bit Upset (MBU) critical applications product code

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Iterative Channel Detection With LDPC product code for Bit-Patterned Media Recording

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IEEE TRANSACTIONS ON MAGNETICS 2017年第11期53卷

作者： Jeong, Seongkwon Lee, Jaejin Soongsil Univ Dept ICMC Convergence Technol Seoul 06978 South Korea

关键词： Bit-patterned media recording (BPMR) burst error low-density parity check (LDPC) code product code

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Iterative LDPC-LDPC product code for Bit Patterned Media

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IEEE TRANSACTIONS ON MAGNETICS 2017年第3期53卷

作者： Jeong, Seongkwon Lee, Jaejin Soongsil Univ Sch Elect Engn Seoul 06978 South Korea

关键词： Bit patterned media (BPM) burst error low-density parity check (LDPC) code product code

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