Variable-Weight Block Dual-Diagonal Structure for Low-Rate QC LDPC Codes With Low Error Floors
- Authors
- Park, Hosung; Kwak, Hee-Youl; Hong, Seokbeom; No, Jong-Seon; Shin, Dong-Joon
- Issue Date
- Mar-2020
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Parity check codes; Encoding; Hamming distance; Indexes; Electronic mail; Signal to noise ratio; Upper bound; Block dual-diagonal (BDD) structure; circulant matrices; efficient encoding; error floor; girth; minimum Hamming distance; protograph; quasi-cyclic (QC) low-density parity-check (LDPC) codes
- Citation
- IEEE TRANSACTIONS ON COMMUNICATIONS, v.68, no.3, pp.1344 - 1357
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON COMMUNICATIONS
- Volume
- 68
- Number
- 3
- Start Page
- 1344
- End Page
- 1357
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/10617
- DOI
- 10.1109/TCOMM.2019.2957474
- ISSN
- 0090-6778
- Abstract
- Irregular quasi-cyclic (QC) low-density parity-check (LDPC) codes with the block dual-diagonal (BDD) parity structure are widely adopted in many communication standards because the BDD structure supports an efficient encoding and many degree-2 variable nodes inside are adequate for the construction of mid- to high-rate codes. However, we observe that low-rate irregular QC LDPC codes with the BDD parity structure inherently contain too many degree-2 variable nodes and suffer from error floors in high signal-to-noise ratio (SNR) region. In this paper, a generalized BDD structure including double-weight circulants as well as circulant permutation matrices is proposed for low-rate irregular QC LDPC codes with low error floors which is achieved with a little bit giving up error performance in the waterfall region. When constructing the parity part of a code with the generalized BDD structure, the portion of double-weight circulants is variable so that the resulting LDPC code can achieve a desired degree distribution including degrees 2 and 3 while supporting the efficient encoding. We show that low-rate QC LDPC codes constructed with the proposed BDD structure have better theoretical properties and lower error floor than those with the conventional BDD structure.
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