Computer Science – Information Theory
Scientific paper
2009-05-22
Computer Science
Information Theory
5 pages, to appear in proc. IEEE ISIT, June 2009
Scientific paper
The serial concatenation of a repetition code with two or more accumulators has the advantage of a simple encoder structure. Furthermore, the resulting ensemble is asymptotically good and exhibits minimum distance growing linearly with block length. However, in practice these codes cannot be decoded by a maximum likelihood decoder, and iterative decoding schemes must be employed. For low-density parity-check codes, the notion of trapping sets has been introduced to estimate the performance of these codes under iterative message passing decoding. In this paper, we present a closed form finite length ensemble trapping set enumerator for repeat multiple accumulate codes by creating a trellis representation of trapping sets. We also obtain the asymptotic expressions when the block length tends to infinity and evaluate them numerically.
Amat Alexandre Graell i.
Costello Daniel J. Jr.
Kliewer Joerg
Koller Christian
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