Please use this identifier to cite or link to this item: https://doi.org/10.1109/ICICS.2007.4449724
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dc.titleDesign and performance of LDPC codes extended with parity-check symbols from a larger alphabet
dc.contributor.authorMo, E.
dc.contributor.authorArmand, M.A.
dc.date.accessioned2014-10-07T04:43:09Z
dc.date.available2014-10-07T04:43:09Z
dc.date.issued2007
dc.identifier.citationMo, E.,Armand, M.A. (2007). Design and performance of LDPC codes extended with parity-check symbols from a larger alphabet. 2007 6th International Conference on Information, Communications and Signal Processing, ICICS : -. ScholarBank@NUS Repository. <a href="https://doi.org/10.1109/ICICS.2007.4449724" target="_blank">https://doi.org/10.1109/ICICS.2007.4449724</a>
dc.identifier.isbn1424409837
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/83610
dc.description.abstractThis paper describes a method for constructing a certain class of LDPC codes over mixed integer residue rings. These codes are essentially extended LDPC codes where the additional redundant symbols come from a larger alphabet. In particular, we address the effects that zero divisors as edge weights in the Tanner graph of LDPC codes over ℤq have, from the pseudocodeword perspective. First, we show that weighting certain edges of a Tanner graph with zero divisors of ℤq can reduce the number of pseudocodewords arising from its finite degree covers. Second, we prove that in adding a redundant row to a given parity-check matrix, the smaller the number of zero divisors it contains, the more effective it is in constricting the corresponding fundamental polytope. Moreover, we argue that cycles of length four are not bad provided at least one of the four corresponding edge weights is a zero divisor. The culmination of these findings is a procedure for judiciously adding redundant check nodes to the Tanner graph representation of a mixed-alphabet code such that significant performance improvements under iterative decoding may be obtained. © 2007 IEEE.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1109/ICICS.2007.4449724
dc.sourceScopus
dc.typeConference Paper
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1109/ICICS.2007.4449724
dc.description.sourcetitle2007 6th International Conference on Information, Communications and Signal Processing, ICICS
dc.description.page-
dc.identifier.isiutNOT_IN_WOS
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