New decoding scheme for LDPC codes based on simple product code structure
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866913566154555392 |
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| author | Shin, Beomkyu Hong, Seokbeom Park, Hosung No, Jong-Seon Shin, Dong-Joon |
| author_facet | Shin, Beomkyu Hong, Seokbeom Park, Hosung No, Jong-Seon Shin, Dong-Joon |
| contents | In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes act as horizontal codes of the product codes and simple algebraic codes are used as vertical codes to help decoding of the LDPC codes. The decoding capability of the proposed decoding scheme is defined and analyzed using the paritycheck matrices of vertical codes and especially the combined-decodability is derived for the case of single parity-check (SPC) and Hamming codes being used as vertical codes. It is also shown that the proposed decoding scheme achieves much better error-correcting capability in high signal to noise ratio (SNR) region with low additional decoding complexity, compared with a conventional decoding scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1203_4040 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | New decoding scheme for LDPC codes based on simple product code structure Shin, Beomkyu Hong, Seokbeom Park, Hosung No, Jong-Seon Shin, Dong-Joon Information Theory In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes act as horizontal codes of the product codes and simple algebraic codes are used as vertical codes to help decoding of the LDPC codes. The decoding capability of the proposed decoding scheme is defined and analyzed using the paritycheck matrices of vertical codes and especially the combined-decodability is derived for the case of single parity-check (SPC) and Hamming codes being used as vertical codes. It is also shown that the proposed decoding scheme achieves much better error-correcting capability in high signal to noise ratio (SNR) region with low additional decoding complexity, compared with a conventional decoding scheme. |
| title | New decoding scheme for LDPC codes based on simple product code structure |
| topic | Information Theory |
| url | https://arxiv.org/abs/1203.4040 |