Changes in the kurtosis parameter of super-Gaussian beams passing through a spherically aberrated lens

Based on the Collins formula and irradiance moments definition, the propagation of the kurtosis parameter of super-Gaussian beams through a spherically aberrated lens is studied. Detailed numerical results are given. It is shown that, as compared with aberration-free super-Gaussian beams, the profile of spherically aberrated super-Gaussian beams can be leptokurtic, mesokurtic or platykurtic, depending on the aberration and propagation distance. The results for the spherically aberrated Gaussian beams can be dealt with as a special case treated in this paper. Finally, the advantage of our method is pointed out.     

Spectral density distribution moments of a Hamiltonian of N coupled Morse oscillators: The large‐N limit

The expressions for moments of spectral density distribution of a Hamiltonian representing a system of N coupled Morse oscillators are reduced to the large‐N limit. The effect of the values of coupling constants on the spectral density distribution is analyzed. For the values of coupling constants within the pertinent range for real molecules, the relations between moments appear to be close to those for a Gaussian distribution. Outside this range, the deviations from the normal distribution are substantial. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002     

一个新的指数削减椭圆形分布族

A new family of univariate exponential slash distribution is introduced, which is based on elliptical distributions and defined by means of a stochastic representation as the scale mixture of an elliptically distributed random variable with respect to the power of an exponential random variable. The same idea is extended to the multivariate case. General properties of the resulting families, including their moments and kurtosis coefficient, are studied. And inferences based on methods of moment and maximum likelihood are discussed. A real data is presented to show this family is flexible and fits much better than other related families.     

一种基于峭度累积量比例微分控制的盲源分离学习率

自然梯度算法由于良好的分离性能在盲源分离中占有重要的地位,但该算法基于固定步长时,无法很好兼顾收敛速度和稳态误差。本文借鉴自动化控制的PID （Proportion Integration Differentiation ）算法,提出一种与分离状态紧密结合的变步长学习率算法。由于完成分离的信号峭度累积量是一个固有值,分离过程的信号峭度累积量与固有值将有一个不断减小的误差值。该算法以指数函数值来体现该误差值。再利用该误差构成比例微分的变步长算法,其中的步长初始值就相当于控制误差的比例值,而误差的微分项则得到加速的调整值。该算法仿真实验结果与固定步长自然梯度盲源分离算法的仿真实验结果对比：对应于初始步长的一个最大值和一个最小值,该算法的两次迭代次数均低于采用固定步长算法的迭代次数,并且对于不同类型信号在两次迭代次数间的差值约10～40次,而两种算法的稳态误差是相同的。     

Fast ICA 盲分离算法在雷达抗主瓣干扰中的应用研究

压制干扰信号从主瓣进入雷达天线,会严重影响雷达的性能,通常的副瓣抗干扰技术难以奏效。文中首先给出了Fast ICA 应用于雷达抗主瓣干扰的信号模型;在高信噪比的均匀噪声环境中,利用基于寻找峭度的局部极值点的Fast ICA盲分离算法分离接收到的主瓣干扰混合信号,通过脉压找出目标信号。仿真验证了算法用于抗主瓣干扰的有效性,该算法具有良好的抗干扰性能,在分离效率上具有较明显的优势。     

小波域阈值语音去噪的几点改进

根据含噪语音中噪声、清音和浊音的不同特点,提出了一种改进的多尺度小波域阈值去噪方法。采用常用的软阈值函数对清音和浊音进行不同的阈值处理,而对于噪声,将其对应的小波系数全部置零。该方法在很大程度上抑制了噪声,又减少了语音段清音的损失,提高了信噪比。仿真结果表明了该方法的可行性和有效性。     

Atomic force microscopy enabled roughness analysis of nanostructured poly (diaminonaphthalene) doped poly (vinyl alcohol) conducting polymer thin films

The Atomic Force Microscopy (AFM) helps in evaluating parameters like amplitude or height parameters, functional or statistical parameters and spatial parameters which describe the surface topography or the roughness. In this paper, we have evaluated the roughness parameters for the native poly (vinyl alcohol) (PVA), monomer diaminonaphthalene (DAN) doped PVA, and poly (diaminonaphthalene) (PDAN) doped PVA films prepared in different solvents. In addition, distribution of heights, skewness and Kurtosis moments which describe surface asymmetry and flatness properties of a film were also determined. At the same time line profiles, 3D and 2D images of the surface structures at different scanning areas i.e. 5 × 5 μm² and 10 × 10 μm² were also investigated. From the roughness analysis and the surface skewness and coefficient of Kurtosis parameters, it was concluded that for PVA film the surface contains more peaks than valleys and the PDAN doped PVA film has more valleys than peaks. It was also found that the PDAN doped PVA film with acetonitrile solvent was used for substrate in electronics applications because the film gives less fractal morphology. Thus, the AFM analysis with different parameters suggested that the PDAN doped PVA films are smooth at the sub-nanometer scale.     

基于小波变换的独立分量分析及其在图像分离中的应用

提出了一种新的基于小波变换的独立分量分析方法,对混合图像进行分离。研究表明,当各个源信号的概率密度分布相同时,自然梯度算法的稳态误差与源信号峭度成反比。因此,对峭度更大的小波域高频子图像进行独立分量分析可以获得更高的分离精度。同时混合图像在小波变换的过程中,可以利用小波阈值对混合图像进行去噪,提高图像的信噪比。最后通过实验证明该方法是有效的。     

基于峭度的盲分离在通信信号盲侦察中的应用

为实现复杂多信号环境下的通信信号侦察,采用一种新的盲侦察技术,即运用盲源分离算法,在没有任何先验知识的情况下分离出源信号,然后对分离的各个信号进行后续处理。提出一种改进的基于峭度的盲分离算法,可以自适应地确定激活函数。将其应用在通信信号盲侦察中,可以实现对任意源信号进行盲分离,而不管它是超高斯还是亚高斯信号。选择超高斯和亚高斯混合通信信号进行了仿真实验,结果验证了该算法的有效性。