Capacity of weakly (d,k)-constrained sequences

Kees A. Schouhamer Immink; Augustus J.E.M. Janssen

doi:10.1109/ISIT.2000.866436

Capacity of weakly (d,k)-constrained sequences

Kees A. Schouhamer Immink, Augustus J.E.M. Janssen

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In the presentation we find an analytic expression for the maximum of the normalized entropy - ¿_ieT p_i In p_i / ¿_ieT ip_i where the set T is the disjoint union of sets S_n of positive integers that are assigned probabilities P_n, ¿_n P_n = 1. This result is applied to the computation of the capacity of weakly (d,k)-constrained sequences that are allowed to violate the (d,k)-constraint with small probability.

Originele taal-2	Engels
Titel	2000 IEEE International Symposium on Information Theory
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	144
Aantal pagina's	1
ISBN van geprinte versie	0-7803-5857-0
DOI's	https://doi.org/10.1109/ISIT.2000.866436
Status	Gepubliceerd - 2000
Extern gepubliceerd	Ja

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10.1109/ISIT.2000.866436

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title = "Capacity of weakly (d,k)-constrained sequences",

abstract = "In the presentation we find an analytic expression for the maximum of the normalized entropy - ¿ieT pi In pi / ¿ieT ipi where the set T is the disjoint union of sets Sn of positive integers that are assigned probabilities Pn, ¿n Pn = 1. This result is applied to the computation of the capacity of weakly (d,k)-constrained sequences that are allowed to violate the (d,k)-constraint with small probability.",

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AB - In the presentation we find an analytic expression for the maximum of the normalized entropy - ¿ieT pi In pi / ¿ieT ipi where the set T is the disjoint union of sets Sn of positive integers that are assigned probabilities Pn, ¿n Pn = 1. This result is applied to the computation of the capacity of weakly (d,k)-constrained sequences that are allowed to violate the (d,k)-constraint with small probability.

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DO - 10.1109/ISIT.2000.866436

M3 - Conference contribution

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BT - 2000 IEEE International Symposium on Information Theory

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Capacity of weakly (d,k)-constrained sequences

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