Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability

Ryo Nomura; Hideki Yagi

doi:10.1109/ISIT.2015.7282466

Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability

Ryo Nomura, Hideki Yagi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (Scopus)

Abstract

This paper deals with a fixed-length lossy source coding problem with some excess distortion probability called the source coding problem with ϵ-fidelity criterion. In this problem, the rate-distortion function and the distortion-rate function have already been characterized for i.i.d. sources with an additive distortion measure in the sense of first-order and second-order coding rates. However, general formulas for these functions have not been revealed up to present. Hence, in this paper we derive general formulas for the rate-distortion function and the distortion-rate function with the ϵ-fidelity criterion in both of the first-order and second-order cases. A relationship between our general formulas and previous results are also discussed.

Original language	English
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	306-310
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282466
Publication status	Published - 2015 Sept 28
Externally published	Yes
Event	IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: 2015 Jun 14 → 2015 Jun 19

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2015-June
ISSN (Print)	2157-8095

Other

Other	IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	Hong Kong
City	Hong Kong
Period	15/6/14 → 15/6/19

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modelling and Simulation
Applied Mathematics

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10.1109/ISIT.2015.7282466

Cite this

Nomura, R., & Yagi, H. (2015). Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 306-310). Article 7282466 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282466

Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability. / Nomura, Ryo; Yagi, Hideki.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 306-310 7282466 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nomura, R & Yagi, H 2015, Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282466, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 306-310, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 15/6/14. https://doi.org/10.1109/ISIT.2015.7282466

Nomura R, Yagi H. Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 306-310. 7282466. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2015.7282466

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Information spectrum approach to fixed-length lossy source coding problem with some excess distortion probability

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