Continuity and quantization of channels with infinite alphabets

Štefan Šujan

Kybernetika (1981)

  • Volume: 17, Issue: 6, page 465-478
  • ISSN: 0023-5954

How to cite

top

Šujan, Štefan. "Continuity and quantization of channels with infinite alphabets." Kybernetika 17.6 (1981): 465-478. <http://eudml.org/doc/28793>.

@article{Šujan1981,
author = {Šujan, Štefan},
journal = {Kybernetika},
keywords = {block transmission of abstract alphabet sources over abstract alphabet channels; block coding theorems; stationary and ergodic sources; stationary and weakly continuous channels},
language = {eng},
number = {6},
pages = {465-478},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Continuity and quantization of channels with infinite alphabets},
url = {http://eudml.org/doc/28793},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Šujan, Štefan
TI - Continuity and quantization of channels with infinite alphabets
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 6
SP - 465
EP - 478
LA - eng
KW - block transmission of abstract alphabet sources over abstract alphabet channels; block coding theorems; stationary and ergodic sources; stationary and weakly continuous channels
UR - http://eudml.org/doc/28793
ER -

References

top
  1. K. Winkelbauer, On the coding theorem for decomposable channels I, II, Kybernetika 7 (1971), 109-123, 230-255. (1971) MR0300751
  2. J. C. Kieffer, A general formula for the capacity of a stationary nonanticipatory channel, Inform. and Control 26 (1974), 381-391. (1974) MR0384324
  3. R. M. Gray D. S. Ornstein, Block coding for discrete stationary d-continuous noisy channels, IEEE Trans. Inform. Theory 25 (1979), 292-306. (1979) MR0528007
  4. J. Wolfowitz, Coding Theorems of Information Theory, 2nd ed. Springer-Verlag, Berlin - Gottingen -New York 1964. (1964) Zbl0132.39704MR0176851
  5. J. C. Kieffer, Block coding for a stationary channel satisfying a weak continuity condition, (to appear). 
  6. R. M. Gray J. C. Kieffer, Mutual information rate, distortion and quantization in metric spaces, IEEE Trans. Inform. Theory 26 (1980), 412-422. (1980) MR0581788
  7. Š. Šujan, Channels with additive asymptotically mean stationary noise, Kybernetika 17 (1981), 1, 1-15. (1981) MR0629345
  8. P. Billingsley, Convergence of Probability Measures, J. Wiley, New York-London-Sydney-Toronto 1968. (1968) Zbl0172.21201MR0233396
  9. J. C. Kieffer, On the transmission of Bernoulli sources over stationary channels, Ann. Prob. 8 (1980), 942-961. (1980) Zbl0452.94012MR0586778
  10. Š. Šujan, A generalized coding problem for discrete information sources, Supplement. Kybernetika 13 (1977), 95 pp. (1977) MR0465531
  11. P. Billingsley, Ergodic Theory and Information, J. Wiley, New York 1965. (1965) Zbl0141.16702MR0192027
  12. R. L. Dobrushin, A general formulation of the basic Shannon theorem of information theory, (in Russian). Uspehi mat. nauk 14 (1959), 3-104. (1959) MR0107574
  13. K. Winkelbauer, On the asymptotic rate of non-ergodic information sources, Kybernetika 6 (1970), 2, 127-148. (1970) Zbl0245.94013MR0275979
  14. R. M. Gray L. D. Davisson, Source coding without the ergodic assumption, IEEE Trans. Inform. Theory 20 (1974), 502-516. (1974) MR0476163
  15. Š. Šujan, Block transmissibility and quantization, (submitted). 
  16. F. Topsøe, Preservation of weak convergence under mappings, Ann. Math. Statist. 38 (1967), 1661-1665. (1967) MR0219097
  17. Š. Šujan, On the capacity of asymptotically mean stationary channels, Kybernetika 17 (1981), 3, 222-233. (1981) MR0628210
  18. K. Jacobs, Über die Struktur der mittleren Entropie, Math. Z. 78 (1962), 33-43. (1962) Zbl0105.32801MR0142717
  19. J. C. Kieffer, Some universal noiseless multiterminal source coding theorems, Inform. and Control 46 (1980), 93-107. (1980) Zbl0452.94013MR0600773
  20. K. Winkelbauer, On discrete information sources, Trans. 3rd Prague Conf. Inform. Theory, NČSAV Prague 1964, 765-830. (1964) Zbl0126.35702MR0166000
  21. K. Winkelbauer, On the capactiy of decomposable channels, Trans. 6th Prague Conf. Inform. Theory, Academia, Prague 1973, 903-914. (1973) MR0371509
  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. (1975) MR0368127

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.