Several properties of short LDPC codes |
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Authors: | Lei Wei |
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Affiliation: | Sch. of Electr. Eng. & Comput. Sci., Univ. of Central Florida, Orlando, FL, USA; |
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Abstract: | In this paper, we present several properties on minimum distance(d/sub min/) and girth(G/sub min/) in Tanner graphs for low-density parity-check (LDPC) codes with small left degrees. We show that the distance growth of (2, 4) LDPC codes is too slow to achieve the desired performance. We further give a tight upper bound on the maximum possible girth. The numerical results show that codes with large G/sub min/ could outperform the average performance of regular ensembles of the LDPC codes over binary symmetric channels. The same codes perform about 1.5 dB away from the sphere-packing bound on additive white Gaussian noise channels. |
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