Digital Signal Processing

    

The Theoretical Average Encoding Length for Micro-States in Boltzmann System Based on Deng Entropy

Authors: Jixiang Deng, Yong Deng

Because of the good performance of handling uncertainty, Dempster-Shafer evidence theory (evidence theory) has been widely used. Recently, a novel entropy, named as Deng entropy, is proposed in evidence theory, which is a generalization of Shannon entropy. Deng entropy and the maximum Deng entropy have been applied in many fields due to their efficiency and reliability of measuring uncertainty. However, the maximum Deng entropy lacks a proper explanation in physics, which limits its further application. Thus, in this paper, with respect to thermodynamics and Shannon's source coding theorem, the theoretical average encoding length for micro-states in Boltzmann system based on Deng entropy is proposed, which is a possible physical interpretation of the maximum Deng entropy.

Comments: 14 Pages.

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[v1] 2020-05-07 04:13:58

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