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R(D) Definition Domain Deriving of Limited Distortion Source Coding With Different Sources
School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
- 1 School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
- 2 School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
- 3 School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
- 4 School of Information Science and Engineering, Henan University of Technology, Zhengzhou, China
International Journal of Communications, Network and System Sciences·Volume 10 (2017)·Pages 263–268·Published 14 August 2017·DOI10.4236/ijcns.2017.108B028
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Abstract
For limited distortion source coding, it is generally considered that the minimum value of the coding average distortion is 0, and the maximum value is the minimum distortion value of making R(D) = 0. This is the definition domain of the information rate distortion function. In this paper, the upper and lower bounds of the information rate distortion function R(D) are derived and computed for the typical sources. The results show that the lower bound of the coding average distortion D is related to the symbol distortion function, which can further improve the theory of limited distortion source coding.
KeywordsThe Information Rate Distortion FunctionLimited Distortion CodingDefinition Domain
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