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Finite-Length Scaling for Iteratively Decoded LDPC Ensembles

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4 Author(s)
Amraoui, A. ; Fed. Inst. of Technol. (EPFL), Lausanne ; Montanari, A. ; Richardson, T. ; Urbanke, R.

We investigate the behavior of iteratively decoded low-density parity-check (LDPC) codes over the binary erasure channel in the so-called ldquowaterfall region.rdquo We show that the performance curves in this region follow a simple scaling law. We conjecture that essentially the same scaling behavior applies in a much more general setting and we provide some empirical evidence to support this conjecture. The scaling law, together with the error floor expressions developed previously, can be used for a fast finite-length optimization.

Published in:

Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 2 )

Date of Publication:

Feb. 2009

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