@comment{ generated by <http://infoscience.epfl.ch/> }

@InProceedings{LTHC-CONF-2007-006,
   abstract    = {We want to extend the approximation of the error
                 probability via a scaling approach from the BEC to
                 general binary-input memoryless output-symmetric (BMS)
                 channels. In particular, we consider such scaling laws
                 for regular LDPC ensembles and message-passing (MP)
                 decoders with a finite number of messages. We first show
                 how to re-derive the scaling law for transmission over
                 the BEC using an “EXIT-like” curve instead of the density
                 evolution curve of the peeling decoder. The advantage of
                 the new derivation is that the new expression of the
                 scaling parameter α only contains quantities that can be
                 meaningfully interpreted also for general message-passing
                 algorithms. In particular, this expression only depends
                 on the curvature of the EXIT-like curve as well as the
                 variance of the messages, both taken at the critical
                 channel parameter. We discuss how to compute these
                 quantities for general MP algorithms and we evaluate the
                 expressions for the specific cases of the Gallager
                 algorithm A as well as the Decoder with Erasures and
                 compare the resulting predictions on the error
                 probability with simulation results.},
   address     = { },
   affiliation = {EPFL},
   author      = {Ezri, J and Montanari, A. and Urbanke, R.},
   booktitle   = {Proc. {o}f the {IEEE} {I}nt. Symposium on {I}nform. Theory},
   details     = {http://infoscience.epfl.ch/record/104409},
   documenturl = {http://infoscience.epfl.ch/record/104409/files/isit2007.pdf},
   extra-id    = {000257010201034},
   keywords    = {ldpc codes; finite-length; scaling; NCCR-MICS; NCCR-MICS/CL1},
   location    = {Nice, France},
   oai-id      = {oai:infoscience.epfl.ch:104409},
   oai-set     = {conf},
   pages       = {P.1011--1015},
   publisher   = { },
   review      = {REVIEWED},
   series      = { },
   status      = {PUBLISHED},
   title       = {A {G}eneralization of the {F}inite-{L}ength {S}caling
                 {A}pproach {B}eyond the {BEC}},
   unit        = {LTHC},
   url         = { },
   year        = 2007
}