提出一种基于傅里叶变换的频域多分辨分析的新理念,对频域空间进行2进制多分辨分解,并用于分解脑电信号的4种脑波主要分量,以及研究脑电信号各种节律的动态特性。结果表明,该方法物理意义清楚,能获得比小波多分辨分析更多的信息,并能够有效提取脑电不同节律的时频特性,是一种新的描述脑电信号动态时频变化特征的定量定性分析方法。
A new quantitative analysis method to describe the dynamic variation of electroencephalogram (EEG) signals was proposed. Based on the Fourier transformation, the method is called Fourier multi- resolution analysis (FMRA). FMRA decomposes the frequency domain with a binary system and can resolve EEG signals into the basic rhythms of the four waves to study the dynamic characteristics of EEG signal rhythms. FMRA has clear physical meaning, and can obtain more information than wavelet multi- resolution analysis does. FMRA can extract perfectly the rhythmic characteristics of EEG signals in the time and frequency domains.