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Predictive coding--I

Elias, P.·1955·IEEE Transactions on Information Theory

Abstract

Predictive coding is a procedure for transmitting messages which are sequences of magnitudes. In this coding method, the transmitter and the receiver store past message terms, and from them estimate the value of the next message term. The transmitter transmits, not the message term, but the difference between it and its predicted value. At the receiver this error term is added to the receiver prediction to reproduce the message term. This procedure is defined and messages, prediction, entropy, and ideal coding are discussed to provide a basis for Part II, which will give the mathematical criterion for the best predictor for use in the predictive coding of particular messages, will give examples of such messages, and will show that the error term which is transmitted in predictive coding may always be coded efficiently.

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Research works printed but not linked: 29

  1. 10.1109/JRPROC.1950.231821 · DOI · Paper page
  2. wiener, 1949, The Mathematical Theory of Communication, 52
  3. shannon, 1949, The Mathematical Theory of Communication, 52
  4. fano, 1949, The Transmission of Information
  5. wienes, 1949, Cybernetics, 76
  6. wiener, 0, The Extrapolation Interpolation and Smoothing of Stationary Time Series with Engineering Applications, 13
  7. 10.1109/3468.568739 · doi:10.1109/3468.568739
  8. fano, 1949, Shannon's, 52
  9. shannon, 1949, The Mathematical Theory of Communication, 29
  10. shannon, 1949, The Mathematical Theory of Communication, 15
  11. fano, 1949, Tech Rep
  12. shannon, 1949, The Mathematical Theory of Communication, 30
  13. shannon, 1949, The Mathematical Theory of Communication, 9
  14. cheatham, 0, Tech Rep
  15. shannon, 1949, The Mathematical Theory of Communication, 52
  16. shannon, 1949, The Mathematical Theory of Communication, 19
  17. frechet, 1948, Processus Stochastiques et Mouvement Brownien
  18. lee, 1949, The Application of Correlation Functions in the Detection of Small Signals in Noise
  19. shannon, 1949, The Mathematical Theory of Communication, 25
  20. shannon, 1949, The Mathematical Theory of Communication, 28
  21. shannon, 1949, The Mathematical Theory of Communication, 56
  22. shannon, 1949, The Mathematical Theory of Communication, 21
  23. 10.1109/JRPROC.1948.231941 · DOI · Paper page
  24. 10.1002/j.1538-7305.1948.tb01340.x · DOI · Paper page
  25. shannon, 1949, The Mathematical Theory of Communication, 31
  26. wiener, 0, The Extrapolation Interpolation and Smoothing of Stationary Time Series with Engineering Applications, 13
  27. 10.1109/JRPROC.1949.232969 · DOI · Paper page
  28. wiener, 1942, The Extrapolation Interpolation and Smoothing of Stationary Time Series with Engineering Applications, 37
  29. shannon, 1949, The Mathematical Theory of Communication, 52

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Metadata

Authors
Elias, P.
Venue
IEEE Transactions on Information Theory
Published
1955-03
Volume
1
Issue
1
Pages
16-24
ISSN
0018-9448 (ISSN-L)
OpenAlex
W2112129677
Cited by
428
References
0
FWCI
0.00
Type
journal article
Language
en
Open access
closed

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Elias, P. (1955). Predictive coding--I. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1955.1055126

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