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http://hdl.handle.net/10397/78913
Title: | Tree-permutation-matrix based LDPC codes | Authors: | Jiang, S Mo, FL Lau, FCM Sham, CW |
Issue Date: | Aug-2018 | Source: | IEEE transactions on circuits and systems. II, Express briefs, Aug. 2018, v. 65, no. 8, p. 1019-1023 | Abstract: | Low-density parity-check (LDPC) codes are normally categorized into random structure or regular structure. In this brief, we introduce a new type of LDPC codes which is of semi-regular style. The parity-check matrices of the new LDPC code type are composed of sub-matrices termed tree-permutation matrices (TPMs). These TPMs are "semi-regular" and are constructed in a systematic way. Using the 2 x 2 identity matrix and anti-diagonal matrix as an example, we illustrate how 2(M) x 2(M ) TPMs are formed. During the formation of the 2(M) x 2(M) TPMs, we further apply the hill-climbing algorithm to avoid short cycles. Finally, we construct a girth-8 TPM-LDPC code with a base matrix of size 4 x 24 and a girth-10 TPM-LDPC code with a base matrix of size 3 x 10. We implement the TPM-LDPC decoders on an FPGA and compare the simulation results and decoder complexity with other LDPC codes. | Keywords: | FPGA implementation Low-density parity-check code Tree-permutation matrix |
Publisher: | Institute of Electrical and Electronics Engineers | Journal: | IEEE transactions on circuits and systems. II, Express briefs | ISSN: | 1549-7747 | EISSN: | 1558-3791 | DOI: | 10.1109/TCSII.2017.2785779 | Rights: | © 2017 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. The following publication S. Jiang, F. Mo, F. C. M. Lau and C. Sham, "Tree-Permutation-Matrix Based LDPC Codes," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 65, no. 8, pp. 1019-1023, Aug. 2018 is available at https://dx.doi.org/10.1109/TCSII.2017.2785779 |
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