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SPCoding School The São Paulo Coding School Forum 2014-11-24T15:02:23+00:00 https://ime.unicamp.br/spcodingschool/forum/feed.php?f=7&t=4 2014-11-24T15:02:23+00:00 2014-11-24T15:02:23+00:00 https://ime.unicamp.br/spcodingschool/forum/viewtopic.php?t=4&p=4#p4 <![CDATA[Matching Channels and Metrics]]> Matching Channels and Metrics.pdfThe most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well-known that maximum likelihood decoding coincides with nearest neighbor decoding with respect to the Hamming metric on the binary symmetric channel.

Back over 40 years, in a paper from 1971. Chiang and Wolf attribute the general question of matching metrics and channels to notes from a 1967 course given by Massey. The most significant work on this question was done by Seguin in 1980, in a paper where he studies necessary and sufficient conditions for a discrete memoryless channel to be matched to an additive metric.

Considering non-additive metrics, this question is widely open, some possible approaches for binnary asymmetric channels are proposed here.

Statistics: Posted by mfirer — Mon Nov 24, 2014 3:02 pm


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