Design and performance of capacity approaching irregular low-density parity-check codes

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2009
Bardak, Erinç Deniz
In this thesis, design details of binary irregular Low-Density Parity-Check (LDPC) codes are investigated. We especially focus on the trade-off between the average variable node degree, wa, and the number of length-6 cycles of an irregular code. We observe that the performance of the irregular code improves with increasing wa up to a critical value, but deteriorates for larger wa because of the exponential increase in the number of length-6 cycles. We have designed an irregular code of length 16,000 bits with average variable node degree wa=3.8, that we call ‘2/3/13’ since it has some variable nodes of degree 2 and 13 in addition to the majority of degree-3 nodes. The observed performance is found to be very close to that of the capacity approaching commercial codes. Time spent for decoding 50,000 codewords of length 1800 at Eb/No=1.6 dB for an irregular 2/3/13 code is measured to be 19% less than that of the regular (3, 6) code, mainly because of the smaller number of decoding failures.
Citation Formats
E. D. Bardak, “Design and performance of capacity approaching irregular low-density parity-check codes,” M.S. - Master of Science, 2009.