脑电信号增量中的标度行为-浙江大学物理系.pdfVIP

生物医学工程学杂志（JOURNAL OF BIOMEDICAL ENGINEERING ） 1 Note: This is a sample article. It has been accepted by Journal of Biomedical engineering. 脑电信号增量中的标度行为* 1 2 1 1 郭宏记 ，刘少英 ，沈花 ，唐孝威 1 (浙江大学 物理系，浙江 杭州 310027) 2(浙江理工大学 心理学研究所，浙江 杭州 310018) 摘要：标度理论是研究复杂系统在不同尺度间变换的自相似性、研究复杂事物的过程和本质的重要方法。本文用DFA 的方法对脑电信 号增量以及增量的大小、符号序列的标度行为进行研究。对20 名被试19 个通道睁眼、闭眼两种状态下的数据进行分析得出：(1)脑电 信号的增量在两个标度区间内遵从幂次分布，两个标度区间的幂指数（标度因子）的不同主要是由脑电信号的线性性质引起的；(2)根 据两个标度区间标度因子的分布，能够把睁眼、闭眼两种状态区分开；（3 ）脑电信号的增量在大标度区间内有反关联特性；（4 ）小标 度区间的标度因子也可以区分睁眼、闭眼两种状态。根据标度特性我们可以从脑电信号的增量中提取出一些信息，此方法将有可能用 于脑电信号的疾病诊断等方面。 关键词：标度行为，脑电，关联特性，动力学 Scaling Behavior in Increment of Electroencephalogram 1 2 1 1 GUO Hongji , LIU Shaoying , SHEN Hua , TANG Xiaowei 1.(Departm ent of physics, Zhejiang U niversity, Hangzhou 310027, China) 2.(Departm ent of psychology , Zhejiang U niversity of Sciences, Hangzhou 310018, China) Abstract: Power-scaling law is an important method to investigate the process and essence of complex systems, which studies the self-similar of a complex system in different scales. Scaling behavior of human electroencephalogram has been studied by decomposing the increment series into magnitude and sign series. For 19 channels in each of the 20 subjects, it is found that (I) The increment series, its magnitude and sign series exhibit scaling behaviors in two scaling regions respectively, the linear property of the increment series lead to those two regions; (II) According to the dis