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Received: 2007-02-27

Revision Accepted: 2007-04-09

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.8 P.1263~1270

http://doi.org/10.1631/jzus.2007.A1263


On Wyner-Ziv Problem for general sources with average distortion criterion


Author(s):  YANG Sheng-tian, ZHAO Min-jian, QIU Pei-liang

Affiliation(s):  Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   yangshengtian@zju.edu.cn

Key Words:  Rate-distortion with side information, Information spectrum, Fixed-length coding, Average distortion criterion


YANG Sheng-tian, ZHAO Min-jian, QIU Pei-liang. On Wyner-Ziv Problem for general sources with average distortion criterion[J]. Journal of Zhejiang University Science A, 2007, 8(8): 1263~1270.

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author="YANG Sheng-tian, ZHAO Min-jian, QIU Pei-liang",
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DOI - 10.1631/jzus.2007.A1263


Abstract: 
The Wyner-Ziv Problem for general sources with average distortion under fixed-length coding is investigated in this paper. To solve the problem, an enhanced covering lemma for a Markov chain is first established. Then based on the lemma, a general formula for the rate-distortion function of the problem is derived, where the distortion is only assumed uniformly bounded and may be nonadditive. Finally, it is further pointed out that such methods can be used to establish more general results on multiterminal source coding problems.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Cover, T.M., Thomas, J.A., 1991. Elements of Information Theory. John Wiley & Sons, New York.

[2] Gastpar, M., 2004. The Wyner-Ziv problem with multiple sources. IEEE Trans. on Inf. Theory, 50(11):2762-2768.

[3] Han, T.S., 2003. Information-Spectrum Methods in Information Theory. Springer, Berlin.

[4] Iwata, K., Muramatsu, J., 2002. An information-spectrum approach to rate-distortion function with side information. IEICE Trans. on Fund., E85-A(6):1387-1395.

[5] Miyake, S., Kanaya, F., 1995. Coding theorems on correlated general sources. IEICE Trans. on Fund., E78-A(9):1063-1070.

[6] Wyner, A.D., Ziv, J., 1976. The rate-distortion function for source coding with side information at the decoder. IEEE Trans. on Inf. Theory, 22(1):1-10.

[7] Yang, S., Qiu, P., 2006. An information-spectrum approach to multiterminal rate-distortion theory. Submitted to IEEE Trans. on Inf. Theory, draft available at http://arxiv.org/abs/cs/0605006

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