Computation of the Fundamental Limits of Data Compression for Certain Nonstationary ARMA Vector Sources-Reference-Cited by-同舟云学术

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Computation of the Fundamental Limits of Data Compression for Certain Nonstationary ARMA Vector Sources

Published:2024-03 Issue:1 Volume:60 Page:1-11
ISSN:0032-9460
Container-title:Problems of Information Transmission
language:en
Short-container-title:Probl Inf Transm

Author:

Gutiérrez-Gutiérrez J.,Barasoain-Echepare Í.,Zárraga-Rodríguez M.,Insausti X.

Abstract

AbstractIn the present article, the differential entropy rate and the rate distortion function (RDF) are computed for certain nonstationary real Gaussian autoregressive moving average (ARMA) vector sources.

Publisher

Pleiades Publishing Ltd

Link

https://link.springer.com/content/pdf/10.1134/S0032946024010010.pdf

Reference15 articles.

1. Shannon, C.E., A Mathematical Theory of Communication, Bell Syst. Tech. J., 1948, vol. 27, no. 3, pp. 379–423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

2. Wyner, A., Fundamental Limits in Information Theory, Proc. IEEE, 1981, vol. 69, no. 2, pp. 239–251. https://doi.org/10.1109/PROC.1981.11956

3. Cover, T.M. and Thomas, J.A., Elements of Information Theory, Hoboken, NJ: Wiley, 2006, 2nd ed.

4. Toms, W. and Berger, T., Information Rates of Stochastically Driven Dynamic Systems, IEEE Trans. Inform. Theory, 1971, vol. 17, no. 1, pp. 113–114. https://doi.org/10.1109/TIT.1971.1054569

5. Gutiérrez-Gutiérrez, J. and Crespo, P.M., Asymptotically Equivalent Sequences of Matrices and Multivariate ARMA Processes, IEEE Trans. Inform. Theory, 2011, vol. 57, no. 8, pp. 5444–5454. https://doi.org/10.1109/TIT.2011.2159042

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