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Šujan, Štefan

A local structure of stationary perfectly noiseless codes between stationary non-ergodic sources. II: Applications. (English) Zbl 0533.94001

Kybernetika 18, 465-484 (1982).
This is Part II of a two-part paper and applies the results of Part I [Kybernetika 18, 361-375 (1982; Zbl 0504.94021)] to determine a complete set of invariants for the class of all conditionally Bernoulli sources, with respect to both metric and finitary isomorphisms. The results extend Ornstein and Keane-Smorodinsky isomorphism theorems. A generalization of Krieger’s finite generator theorem is proved in a form which exhibits a close connection between generator problems of ergodic theory and noiseless source coding. A finitary version of it yields an extension of an almost topological generator theorem of Denker and Keane. A result of Kieffer on zero-error transmission of ergodic sources over stationary channels is generalized to the transmission of aperiodic non-ergodic sources. A sufficient condition for \(\epsilon\)-transmissibility is derived which offers a new interpretation of \(\epsilon\)-rates.
Reviewer: G.Longo

Cited in 1 Review
Cited in 2 Documents

MSC:

94A29 Source coding
28D20 Entropy and other invariants

Keywords:

information sources; epsilon transmissibility; invariants; conditionally Bernoulli sources; metric; finitary isomorphisms; generator problems; ergodic theory; noiseless source coding; transmission of aperiodic non- ergodic sources

Citations:

Zbl 0504.94021
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\textit{Š. Šujan}, Kybernetika 18, 465--484 (1982; Zbl 0533.94001)
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References:

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