摘要
In this paper,we mainly discuss a discrete estimation of the average differential entropy for a continuous time-stationary ergodic space-time random field.By estimating the probability value of a time-stationary random field in a small range,we give an entropy estimation and obtain the average entropy estimation formula in a certain bounded space region.It can be proven that the estimation of the average differential entropy converges to the theoretical value with a probability of 1.In addition,we also conducted numerical experiments for different parameters to verify the convergence result obtained in the theoretical proofs.
作者
Zhanjie SONG
Jiaxing ZHANG
宋占杰;张家兴(Georgia Tech Shenzhen Institute,Tianjin University,Shenzhen,518055,China;Tianjin Key Laboratory of Brain-Inspired Intelligence Technology,Tianjin,300072,China;School of Mathematics,Tianjin University,Tianjin,300354,China)
基金
supported by the Shenzhen sustainable development project:KCXFZ 20201221173013036 and the National Natural Science Foundation of China(91746107).
