基于小波变换的混沌信号相空间重构研究

应用小波变换和非线性动力学方法研究了混沌信号在相空间中的行为，指出混沌时间序 列的小波变换实质上是在重构的相空间中，混沌吸引子向小波滤波器向量所张的空间中的投 影，与Packard等人提出的相空间重构方法本质上是一致的.实验结果表明，混沌信号经过 小波变换后，吸引子轨迹与原有轨迹具有相似的结构，同时，系统的关联维数、Kolmogorov 熵等非线性不变量仍然得到保留.这些结果表明，利用小波变换研究混沌信号是有效的. 关键词： 小波变换 相空间重构 混沌信号 脑电信号     

Partial electrical potential distribution around nanospheres in metallic nanostructured films

In light of the nanostructured surface model, where half-spherical nanoparticles grow out symmetrically from a plane metallic film, the mathematical model for the partial electrical potential around nanospheres is developed when a uniform external electric field is applied. On the basis of these models, the three-dimensional spatial distribution of the partial electrical potential is obtained and given in the form of a curved surface using a numerical computation method. Our results show that the electrical potential distribution around the nanospheres exhibits an obvious geometrical symmetry. These results could serve as a reference for investigating many abnormal phenomena such as abnormal infrared effects, which are found when CO molecules are adsorbed on the surface of nanostructured transition metals.     

相空间中脑电近似熵和信息熵的计算

提出一种基于相空间重构脑电信号来计算脑电近似熵和信息熵的新方法．实验计算结果表明，癫痫患者脑电和正常人脑电的近似熵和信息熵随相空间嵌入维数的变化有明显的不同．     

有缺陷的平行板电容器内的电场

利用复数坐标系上的保角变换和利用势的拉普拉斯方程分别讨论了带有半圆柱形凸出疤和半球形凸出疤两种有缺陷的平行板电容器内的电场分布,进而得出一些有益的结论     

Electric potential distribution near nanocone arrays on metal substrates

Based on the nanostructured surface model,where conical nanoparticle arrays grow out symmetrically from a plane metal substrate,a theoretical model of the local electric potential near nanocones is built when a uniform external electric field is applied.In terms of this model,the electric potential distribution near the nanocone arrays is obtained and given by a curved surface using a numerical computation method.The computational results show that the electric potential distribution near the nanocone arrays exhibit an obvious geometrical symmetry.These results could serve as a basis for explaining many abnormal phenomena,such as the abnormal infrared effects(AIREs) which are found on nanostructured metal surfaces,as well as a reference for investigating the applications of nanomaterials,such as nanoelectrodes and nanosensors.     

偏心圆柱形电容器的电场

利用复数坐标系ｚ平面的分式线性变换，讨论了偏心圆柱形电容器内的电场分布，概括了平行圆柱形电极间电场分布的一般性结论。     

锥形导体尖端的电场特性

以圆锥形导体为例，从求拉普拉斯方程在边界条件下的解出发，给出锥形导体尖端附近的电场表达式，并对电场特性作出详细分析，从而揭示尖端放电现象的物理本质。     

用时域有限差分法分析一氧化碳分子吸附在铂表面的CO-Pt振动光谱

根据CO分子吸附在Pt表面相互作用的类Rose势中的不同吸附能参量E0、振动参量α0和平衡间距γe,利用时域有限差分方法数值求解CO-Pt吸附体系的Schr(o)dinger方程,得到CO-Pt体系波函数的数值解.通过离散Fourier变换得到本征振动能量,并拟合成非谐性光谱项表达式.结果表明E0对CO-Pt体系的振动频率影响不大,而α0变小或γe变大时体系振动频率降低,导致谱线红移;同时表明CO-Pt体系的本征振动仍接近谐振动.     

Blind source separation of multichannel electroencephalogram based on wavelet transform and ICA

Combination of the wavelet transform and independent component analysis （ICA） was employed for blind source separation （BSS） of multichannel electroencephalogram （EEG）. After denoising the original signals by discrete wavelet transform, high frequency components of some noises and artifacts were removed from the original signals. The denoised signals were reconstructed again for the purpose of ICA, such that the drawback that ICA cannot distinguish noises from source signals can be overcome effectively. The practical processing results showed that this method is an effective way to BSS of multichannel EEG. The method is actually a combination of wavelet transform with adaptive neural network, so it is also useful for BBS of other complex signals.