A Fixed-Length Source Coding Theorem on Quasi-Probability Space

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 367)

Abstract

The existing source coding theorems are established on probability meas-ure space or Sugeno measure space. It is difficult to deal with the source coding problems on quasi-probability space which is an extension of probability measure space and Sugeno measure space. In order to overcome the limitation, fixed-length source coding problems on quasi-probability space are discussed. Based on the definition and properties of information entropy on quasi-probability space, an asymptotic equipartition property of discrete memoryless information source on quasi-probability space is proved. Then, a fixed-length source coding theorem for discrete memoryless information source on quasi-probability space is provided.

Keywords

Fixed-length source coding theorem Sugeno measure Quasi-probability space Information entropy 

Notes

Acknowledgments

Thanks to the support by the National Natural Science Foundation of China (No. 60773062 and No.61073121), the Natural Science Foundation of Hebei Province of China (No.F2012402037 and No.A2012201033).

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Yang Yang
    • 1
  • Lin-qing Gao
    • 1
  • Chao Wang
    • 2
  • Ming-hu Ha
    • 2
  1. 1.Department of ManagementHebei UniversityBaodingPeople’s Republic of China
  2. 2.School of Economics and ManagementHebei University of EngineeringHandanPeople’s Republic of China

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