| Title:
|
Continuity and quantization of channels with infinite alphabets (English) |
| Author:
|
Šujan, Štefan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
17 |
| Issue:
|
6 |
| Year:
|
1981 |
| Pages:
|
465-478 |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A17 |
| MSC:
|
94A24 |
| MSC:
|
94A34 |
| MSC:
|
94A40 |
| idZBL:
|
Zbl 0479.94012 |
| idMR:
|
MR674062 |
| . |
| Date available:
|
2009-09-24T17:24:16Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125639 |
| . |
| Reference:
|
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| Reference:
|
[2] J. C. Kieffer: A general formula for the capacity of a stationary nonanticipatory channel.Inform. and Control 26 (1974), 381-391. MR 0384324 |
| Reference:
|
[3] R. M. Gray D. S. Ornstein: Block coding for discrete stationary d-continuous noisy channels.IEEE Trans. Inform. Theory 25 (1979), 292-306. MR 0528007 |
| Reference:
|
[4] J. Wolfowitz: Coding Theorems of Information Theory.2nd ed. Springer-Verlag, Berlin - Gottingen -New York 1964. Zbl 0132.39704, MR 0176851 |
| Reference:
|
[5] J. C. Kieffer: Block coding for a stationary channel satisfying a weak continuity condition.(to appear). |
| Reference:
|
[6] R. M. Gray J. C. Kieffer: Mutual information rate, distortion and quantization in metric spaces.IEEE Trans. Inform. Theory 26 (1980), 412-422. MR 0581788 |
| Reference:
|
[7] Š. Šujan: Channels with additive asymptotically mean stationary noise.Kybernetika 17 (1981), 1, 1-15. MR 0629345 |
| Reference:
|
[8] P. Billingsley: Convergence of Probability Measures.J. Wiley, New York-London-Sydney-Toronto 1968. Zbl 0172.21201, MR 0233396 |
| Reference:
|
[9] J. C. Kieffer: On the transmission of Bernoulli sources over stationary channels.Ann. Prob. 8 (1980), 942-961. Zbl 0452.94012, MR 0586778 |
| Reference:
|
[10] Š. Šujan: A generalized coding problem for discrete information sources.Supplement. Kybernetika 13 (1977), 95 pp. MR 0465531 |
| Reference:
|
[11] P. Billingsley: Ergodic Theory and Information.J. Wiley, New York 1965. Zbl 0141.16702, MR 0192027 |
| Reference:
|
[12] R. L. Dobrushin: A general formulation of the basic Shannon theorem of information theory.(in Russian). Uspehi mat. nauk 14 (1959), 3-104. MR 0107574 |
| Reference:
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[13] K. Winkelbauer: On the asymptotic rate of non-ergodic information sources.Kybernetika 6 (1970), 2, 127-148. Zbl 0245.94013, MR 0275979 |
| Reference:
|
[14] R. M. Gray L. D. Davisson: Source coding without the ergodic assumption.IEEE Trans. Inform. Theory 20 (1974), 502-516. MR 0476163 |
| Reference:
|
[15] Š. Šujan: Block transmissibility and quantization.(submitted). |
| Reference:
|
[16] F. Topsøe: Preservation of weak convergence under mappings.Ann. Math. Statist. 38 (1967), 1661-1665. MR 0219097 |
| Reference:
|
[17] Š. Šujan: On the capacity of asymptotically mean stationary channels.Kybernetika 17 (1981), 3, 222-233. MR 0628210 |
| Reference:
|
[18] K. Jacobs: Über die Struktur der mittleren Entropie.Math. Z. 78 (1962), 33-43. Zbl 0105.32801, MR 0142717 |
| Reference:
|
[19] J. C. Kieffer: Some universal noiseless multiterminal source coding theorems.Inform. and Control 46 (1980), 93-107. Zbl 0452.94013, MR 0600773 |
| Reference:
|
[20] K. Winkelbauer: On discrete information sources.Trans. 3rd Prague Conf. Inform. Theory, NČSAV Prague 1964, 765-830. Zbl 0126.35702, MR 0166000 |
| Reference:
|
[21] K. Winkelbauer: On the capactiy of decomposable channels.Trans. 6th Prague Conf. Inform. Theory, Academia, Prague 1973, 903-914. MR 0371509 |
| Reference:
|
[22] R. M. Gray D. L. Neuhoff P. C. Shields: A generalization of Ornstein's d-distance with applications to information theory.Ann. Prob. 3 (1975), 315-328. MR 0368127 |
| . |
