An Entropy Measure of Non-Stationary Processes

Shannon’s source entropy formula is not appropriate to measure the uncertainty of non-stationary processes. In this paper, we propose a new entropy measure for non-stationary processes, which is greater than or equal to Shannon’s source entropy. The maximum entropy of the non-stationary process has...

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Main Authors: Ling Feng Liu, Han Ping Hu, Ya Shuang Deng, Nai Da Ding
Format: Article
Language:English
Published: MDPI AG 2014-03-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/3/1493
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author Ling Feng Liu
Han Ping Hu
Ya Shuang Deng
Nai Da Ding
author_facet Ling Feng Liu
Han Ping Hu
Ya Shuang Deng
Nai Da Ding
author_sort Ling Feng Liu
collection DOAJ
description Shannon’s source entropy formula is not appropriate to measure the uncertainty of non-stationary processes. In this paper, we propose a new entropy measure for non-stationary processes, which is greater than or equal to Shannon’s source entropy. The maximum entropy of the non-stationary process has been considered, and it can be used as a design guideline in cryptography.
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spelling doaj.art-3c535e79f1be47c1a0966e1b8dce83672022-12-22T02:10:38ZengMDPI AGEntropy1099-43002014-03-011631493150010.3390/e16031493e16031493An Entropy Measure of Non-Stationary ProcessesLing Feng Liu0Han Ping Hu1Ya Shuang Deng2Nai Da Ding3School of Automation, Huazhong University of Science & Technology, Wuhan 430074, ChinaSchool of Automation, Huazhong University of Science & Technology, Wuhan 430074, ChinaSchool of Automation, Huazhong University of Science & Technology, Wuhan 430074, ChinaSchool of Automation, Huazhong University of Science & Technology, Wuhan 430074, ChinaShannon’s source entropy formula is not appropriate to measure the uncertainty of non-stationary processes. In this paper, we propose a new entropy measure for non-stationary processes, which is greater than or equal to Shannon’s source entropy. The maximum entropy of the non-stationary process has been considered, and it can be used as a design guideline in cryptography.http://www.mdpi.com/1099-4300/16/3/1493non-stationary processentropymaximum entropycryptography
spellingShingle Ling Feng Liu
Han Ping Hu
Ya Shuang Deng
Nai Da Ding
An Entropy Measure of Non-Stationary Processes
Entropy
non-stationary process
entropy
maximum entropy
cryptography
title An Entropy Measure of Non-Stationary Processes
title_full An Entropy Measure of Non-Stationary Processes
title_fullStr An Entropy Measure of Non-Stationary Processes
title_full_unstemmed An Entropy Measure of Non-Stationary Processes
title_short An Entropy Measure of Non-Stationary Processes
title_sort entropy measure of non stationary processes
topic non-stationary process
entropy
maximum entropy
cryptography
url http://www.mdpi.com/1099-4300/16/3/1493
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