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Structure, Property, and Design of Nonbinary regular cycle codes

IEEE TRANSACTIONS ON COMMUNICATIONS 2010年第4期58卷 1060-1071页

作者： Huang, Jie Zhou, Shengli Willett, Peter Univ Connecticut Dept Elect & Comp Engn Storrs CT 06269 USA

In this paper, we study nonbinary regular LDPC cycle codes whose parity check matrix H has fixed column weight j = 2 and fixed row weight d. Through graph analysis, we show that the parity check matrix H of a regular cycle code can be put into an equivalent structure in the form of concatenation of row-permuted block-diagonal matrices if.. is even, or, if.. is odd and the code's associated graph contains at least one spanning subgraph that consists of disjoint edges. This equivalent structure of H enables: i) parallel processing in linear-time encoding;ii) considerable resource reduction on the code storage for encoding and decoding;and iii) parallel processing in sequential belief-propagation decoding, which increases the throughput without compromising performance or complexity. On the code's structure design, we propose a novel design methodology based on the equivalent structure of H. Finally, we present various numerical results on the code performance and the decoding complexity.

关键词： LDPC regular cycle code Galois field graph theory decoding algorithm code design

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Nonbinary LDPC Coding for Multicarrier Underwater Acoustic Communication

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IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS 2008年第9期26卷 1684-1696页

作者： Huang, Jie Zhou, Shengli Willett, Peter Univ Connecticut Dept Elect & Comp Engn 371 Fairfield Way U-2157 Storrs CT 06269 USA

Recently, multicarrier modulation in the form of orthogonal frequency division multiplexing (OFDM) has been shown feasible for underwater acoustic communications via effective algorithms to handle the channel time-variability. In this paper, we propose to use nonbinary low density parity check (LDPC) codes to address two other main issues in OFDM: (i) plain (or uncoded) OFDM has poor performance in fading channels, and (ii) OFDM transmission has high peak to average power ratio (PAPR). We develop new methods to construct nonbinary regular and irregular LDPC codes that achieve excellent performance, match well with the underlying modulation, and can be encoded in linear time and in a parallel fashion. Based on the fact that the generator matrix of LDPC codes has high density, we further show how to reduce the PAPR considerably with minimal overhead. Experimental results confirm the excellent performance of the proposed nonbinary LDPC codes in multicarrier underwater acoustic communications.

关键词： Channel coding LDPC regular cycle code multicarrier underwater acoustic communication

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Nonbinary LDPC Coding for Multicarrier Underwater Acoustic Communications

Nonbinary LDPC Coding for Multicarrier Underwater Acoustic C...

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OCEANS 2008 - MTS/IEEE Kobe Techno-Ocean (OCEANS Kobe 2008), vol.1

作者： Jie Huang Shengli Zhou Peter Willett Department of Electrical and Computer Engineering University of Connecticut Storrs CT USA

In this paper, we propose to use nonbinary low density parity check (LDPC) codes to address two main issues in underwater acoustic OFDM communication: i) plain OFDM has poor performance in the presence of channel fading, and ii) OFDM transmission has a high peak-to-average-power ratio (PAPR). We propose new methods to construct nonbinary irregular LDPC codes that achieve excellent performance, match well with the underlying modulation, and can be encoded in linear time and in parallel. Simulation and experimental results confirm the excellent performance of the proposed nonbinary LDPC codes. Based on the property that the generator matrix of LDPC codes has high density, we further show how to reduce the PAPR considerably with minimal overhead.

关键词： Channel coding LDPC regular cycle code Underwater acoustic communications

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