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提出了一种新的使用过程的前向概率和后向概率计算符号相对熵,并利用符号相对熵来估计熵产的方法.该方法是基于熵增和过程不可逆特性关系的,同时证明脑电信号具有时间不可逆特性,而且该不可逆特性可以提供脑电信号的熵增信息.最后应用该方法对青老年脑电信号进行数值计算及对比,结果是老年人的平均能量损耗显著高于年轻人,证明符号相对熵可以作为一个物理过程不可逆程度的度量参数,这对脑电信号是否处于积极或平衡状态的诊断治疗具有积极的作用.
A new method to calculate the relative entropy of symbols by using the forward probability and the backward probability of the process and using the relative entropy of the symbols to estimate the entropy generation is proposed.The method is based on the relationship between the entropy increase and the irreversible characteristic of the process and at the same time, The signal has the property of time irreversible, and this irreversible characteristic can provide entropy increase information of EEG.Finally, this method is used to calculate and compare EEG signals of young and old with the result that the average energy loss of the aged is significantly higher than that of the young, It is proved that the relative entropy of symbols can be used as a measure of the irreversible degree of physical processes, which has a positive effect on the diagnosis and treatment of whether EEG is in a positive or balanced state.