Lowering Error Floor of Irregular LDPC Codes by CRC and OSD Algorithm(Fundamental Theories for Communications)
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概要
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Irregular Low-Density Parity-Check (LDPC) codes generally achieve better performance than regular LDPC codes at low E_b/N_0 values. They have, however, higher error floors than regular LDPC codes. With respect to the construction of the irregular LDPC code, it can achieve the trade-off between the performance degradation of low E_b/N_0 region and lowering error floor. It is known that a decoding algorithm can achieve very good performance if it combines the Ordered Statistic Decoding (OSD) algorithm and the Log Likelihood Ratio-Belief Propagation (LLR-BP) decoding algorithm. Unfortunately, all the codewords obtained by the OSD algorithm satisfy the parity check equation of the LDPC code. While we can not use the parity check equation of the LDPC code to stop the decoding process, the wrong codeword that satisfies the parity check equation raises the error floor. Once a codeword that satisfies the parity check equation is generated by the LLR-BP decoding algorithm, we regard that codeword as the final estimate and halt decoding; the OSD algorithm is not performed. In this paper, we propose a new encoding/decoding scheme to lower the error floor created by irregular LDPC codes. The proposed encoding scheme encodes information bits by Cyclic Redundancy Check (CRC) and LDPC code. The proposed decoding scheme, which consists of the LLR-BP decoding, CRC check, and OSD decoding, detects errors in the codewords obtained by the LLR-BP decoding algorithm and the OSD decoding algorithm using the parity check equations of LDPC codes and CRC. Computer simulations show that the proposed encoding/decoding scheme can lower the error floor of irregular LDPC codes.
- 2006-01-01
著者
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GOUNAI Satoshi
Graduate School of Electrical Engineering, Tokyo University of Science
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OHTSUKI Tomoaki
Department of Information and Computor Science, Keio University
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Gounai Satoshi
Graduate School Of Electrical Engineering Tokyo University Of Science
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Ohtsuki Tomoaki
Department Of Computer And Information Keio University
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Ohtsuki Tomoaki
Department Of Information And Computor Science Keio University
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