Embedded Rank Distance Codes for ISI channels. Dusad, S., Diggavi, S N., & Calderbank, A R. IEEE Transactions on Information Theory, 54(11):4866–4886, November, 2008.
Embedded Rank Distance Codes for ISI channels [link]Arxiv  abstract   bibtex   
This paper introduces the problem of diversity embedded codes for inter-symbol interference (ISI) channels and gives algebraic constructions for them. These constructions are based on designing binary rank-distance codes with a specific (Toeplitz-like) constraint and lifting them to the complex domain through set-partitioning maps. As a special case these algebraic constructions also give rate-diversity optimal codes for transmission over ISI channels when there are transmit alphabet constraints.
@article{DDCj08,
 abstract = {This paper introduces the problem of diversity embedded codes for inter-symbol
interference (ISI) channels and gives algebraic constructions for them. These constructions
are based on designing binary rank-distance codes with a specific (Toeplitz-like) constraint
and lifting them to the complex domain through set-partitioning maps. As a special case
these algebraic constructions also give rate-diversity optimal codes for transmission over
ISI channels when there are transmit alphabet constraints.},
 author = {S. Dusad and S N. Diggavi and A R. Calderbank},
 file = {:papers:ddcfinalrankdist.pdf},
 journal = {IEEE Transactions on Information Theory},
 month = {November},
 note = {},
 number = {11},
 pages = {4866--4886},
 tags = {journal,DivEmb,OppComm,RankDistCod,CodTh,STcodes},
 title = {Embedded Rank Distance Codes for ISI channels},
 type = {2},
 url_arxiv = {http://arxiv.org/abs/0707.4311},
 volume = {54},
 year = {2008}
}

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