publication . Preprint . Article . 2018

Rate-distortion functions of non-stationary Markoff chains and their block-independent approximations

Mukul Agarwal;
Open Access English
  • Published: 26 Mar 2018
Abstract
Comment: Submitted to the Journal Communications in Information and Systems
Subjects
free text keywords: Computer Science - Information Theory, Mathematics, Rate distortion, Mathematical analysis
Related Organizations

[1] C. E. Shannon, “Coding theorems for a discrete source with a fidelity criterion,” Institute of Radio Engineers, National Convention Record, vol. 7, part 4, pp. 142-163, March 1959.

[2] R. G. Gallager, Information theory and reliable communication. Wiley, January 1968.

[3] R. M. Gray, Entropy and information theory. Springer-Verlag, February 2011.

[4] C. E. Shannon, “A mathematical theory of communication,” Bell System Technical Journal, vol. 27, pp. 379-423 (Part 1) and pp. 623-656 (Part 2), July (Part 1) and October (Part 2) 1948.

[5] A. N. Kolmogorov, “Theory of transmission of information,” Acad. R. P. Romine An. Romino-Soviet, vol. 28, no. 1, pp. 5-33, 1959, translated in American Mathematical Society Translations, Series 2, Volume 33, 1963.

[6] T. Berger, Rate-distortion theory: mathematical basis for data compression, ser. Prentice-Hall series in information and system sciences. Prentice Hall, October 1971.

[7] B. V. Gnedenko, The theory of probability. pany, New York, N. Y., 1962.

[8] A. N. Shiryaev, Probability, 2nd ed. Springer, 1984.

[9] W. Feller, An introduction to probability theory and its applications, Volume 1, 3rd ed. Wiley, 1968.

[10] V. A. Zorich, Mathematical Analysis, I and II. Springer, March 2016.

[11] H. Palaiyanur and A. Sahai, “On the uniform continuity of the ratedistortion function,” in 2008 IEEE International Symposium on Information Theory.

[12] Y. V. Prohorov and Y. A. Rozanov, Probability theory: basic concepts, limit theorems, random processes, 1st ed., ser. Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berucksichtigung der Anwendungsgebiete, Band 157. Springer-Verlag, 1969.

[13] R. C. Bradley, “Basic properties of strong mixing conditions. a survey and some open questions,” Probability surveys, vol. 2, pp. 107-144, 2005. [OpenAIRE]

[14] M. Agarwal, S. Mitter, and A. Sahai, “Layered black-box, behavioral interconnection perspective and applications to problems in communications, Part II: sources satisfying ψ-mixing criterion,” Communications in Information and Systems, vol. 17, no. 4, 2017.

Any information missing or wrong?Report an Issue