基于改进的符号相对熵的脑电信号时间不可逆性研究

摘要

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。%In this letter, we show that the trajectory of electroencephalogram (EEG) possesses the character of time reversal asymmetry, which can provide information about the entropy production of EEG. We develop a kind of new method to estimate symbolic relative entropy and entropy production using forward and backward trajectories. Finally, we use this method to dispose and analyse the EEGs of younger and elder people, and is turned out that this method works and the average energy dissipation can be used as a parameter to detect nonequilibrium.