Channel combining and splitting for cutoff rate improvement

dc.creatorArikan, Erdal
dc.date2005-08-04
dc.date.accessioned2026-07-07T08:15:34Z
dc.date.available2026-07-07T08:15:34Z
dc.descriptionThe cutoff rate $R_0(W)$ of a discrete memoryless channel (DMC) $W$ is often used as a figure of merit, alongside the channel capacity $C(W)$. Given a channel $W$ consisting of two possibly correlated subchannels $W_1$, $W_2$, the capacity function always satisfies $C(W_1)+C(W_2) \le C(W)$, while there are examples for which $R_0(W_1)+R_0(W_2) > R_0(W)$. This fact that cutoff rate can be ``created'' by channel splitting was noticed by Massey in his study of an optical modulation system modeled as a $M$'ary erasure channel. This paper demonstrates that similar gains in cutoff rate can be achieved for general DMC's by methods of channel combining and splitting. Relation of the proposed method to Pinsker's early work on cutoff rate improvement and to Imai-Hirakawa multi-level coding are also discussed.
dc.description5 pages, 7 figures, 2005 IEEE International Symposium on Information Theory, Adelaide, Sept. 4-9, 2005
dc.identifierhttps://arxiv.org/abs/cs/0508034
dc.identifierhttp://arxiv.org/abs/cs/0508034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133485
dc.subjectInformation Theory
dc.titleChannel combining and splitting for cutoff rate improvement
dc.typetext

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