基于分数阶微分的重叠峰分辨方法

根据特定峰信号微分的极值和过零点随着微分阶次的变化而改变, 建立了峰信号的极值和过零点与其相应微分阶次的关系式, 进而得到了两类参数估计器, 利用这些估计器可以估计出Gaussian峰、Lorentzian峰和Tsallis峰信号的特征参数. 首先, 利用分数阶微分器获得特定峰信号的分数阶微分; 其次, 根据峰信号的极值与其微分阶次的关系式和过零点与其微分阶次的关系式, 建立了估计器Ⅰ和估计器Ⅱ; 再利用这些估计器便可以提取峰信号的特征参数; 最后, 用Tsallis峰作为子峰模型对未知重叠峰信号进行分辨. 仿真和实测重叠峰信号的分辨实验表明本方法简单高效.     

分辨伏安分析重叠峰的研究

研究了一种处理伏安(极谱)重叠峰的数学模型。将几类具峰状的极谱电流公式归纳成一般的关系式,提出了一个通用的拟合函数,经非线性最小二乘法处理,可得到重叠组份的蜂高、峰电位和半峰宽等参数。本法适用于示差脉冲极谱、交流极谱、方波极谱、一阶导数卷积伏安法及其反向溶出伏安重叠峰的分离。已用于示差脉冲极谱和交流极谱重叠峰的分辨,得到满意结果。     

二次微分与样条小波自卷积联用分辨重叠伏安峰

本文采用二次微分法寻找重叠峰的各个峰位置，再利用样条小波自卷积（SWSC）方法直接对重叠的伏安峰进行处理，取得了较好的结果。被处理的重叠峰可达到基线分离，且峰位置的相对误差小于3．0％（完全掩盖峰为5．39％），峰面积的相对误差小于2．0％。方法不用于铅（Ⅱ）－铊（Ⅰ）体系的微分脉冲伏安信号处理，取得满意的结果。     

卷积伏安法实验数据的平方根卡尔曼滤波：Ⅱ卷积伏安法中重叠峰…

本文探讨采用平方根卡尔曼滤波进行卷积伏安重叠峰的分辨。     

卷积伏安法实验数据的平方根卡尔曼滤波Ⅱ卷积伏安法中重叠峰的分辨

本文探讨采用平方根卡尔曼滤波进行卷积伏安重叠峰的分辨．模拟数据试验表明，１∶Ｎ平方根卡尔曼滤波器、结合标准加入法和快速傅里叶变换，用于重叠峰的分辨，具有较高的准确度和较强的分辨能力，滤波结果有良好的线性关系．用于Ｉｎ（Ⅲ）～Ｃｄ（Ⅱ）重叠响应信号的分辨，获得满意结果     

重叠伏安峰的样条卷积法分辨

建立了分辨重叠峰的样条卷积法；利用三阶样条函数构成的峰分辨函数与原信号进行卷积，直接对重叠的伏安峰进行处理，取得了较好的结果；被处理的重叠峰可达到其线分离，且峰位置的相对误差小于3．0％（完全重叠峰为5．4％），峰面积的相对误差小于2．0％；应用于镉（Ⅱ）－铟（Ⅲ）实验体系的微分脉冲伏安信号处理，取得满意的结果。     

色谱图拟合及重叠峰快速分离解析

]本文以EMG分布函数作为色谱峰的数学模型,提出由柱系统的半峰宽规律与峰态偏斜度D计算EMG参数的连环公式,用于快速谱图拟合和重叠峰分解。实验表明校正后的峰面积和拟合精度令人满意;不用半峰宽规律,直接采用优化方法解谱也取得好的结果。     

流通池介质交换差示脉冲阳极溶出伏安法用于多元素重叠峰的分离及其同时测定

本文用流通池介质交换差示脉冲阳极溶出伏安法在盐酸介质中富集,而以碳酸钠-碳酸氢钠缓冲溶液为溶出介质,有效地分离了酸性介质中Cu(Ⅱ)、Sb(Ⅲ)、Pb(Ⅱ)、Tl(Ⅰ)、Cd(Ⅱ)、In(Ⅲ)的重叠溶出峰,实现了多离子的同时测定。     

离子色谱重叠色谱峰的处理

介绍通过信号微分处理分辨离子色谱中重叠峰的方法。实验将Ｆ＾－、Ｃｌ＾－、Ａｃ＾－、ＮＯ＾－２、ＮＯ＾－３、ＰｈＣＯＯ＾－、山梨酸根和葡萄糖酸根等常见离子分组按一定比例混合,对重叠峰进行微分处理,得到的微分谱图可由峰高定量,收到了较好的效果。     

Resolution method for overlapping peaks based on the fractional-order differential

Equations between the differential order and the maximum of the fractional-order differential for the specified peak signals are developed based on the variation of the maximum of the specified peak signals at different orders. Also, equations between the differential order and the zero-crossing of the fractional-order differential of the specified peak signals are proposed according to the variation of the zero-crossing of the specified peak signals at different orders. Characteristic paramters of the Gaus- sian peak, Lorentzian peak, and Tsallis peak can be estimated using estimator I and estimator II which are obtained by the equations above. As a result, a new method is presented to resolve the overlapped peaks signal. Firstly, a fractional-order differential of the specified peak signals is obtained with the fractional-order differentiation filter. Then, characteristic paramters of the specified peak signals can be extracted using estimator I and estimator II. Finally, the Tsallis peak is used as a model to assign the overlapping peak signals correctly. Experimental results show that the proposed method is efficient and effective for the simulated overlapping peaks and detected overlapping voltammetric peak signals.     

Study on Separation Method of Overlapped Peaks in Differential Thermal Analysis with Computer Simulation

With the computer simulations, it has been found that in Differential Thermal Analysis (DTA) the overlapped peaks do not satisfy the linear overlapping principle, and the relationship between the overlapped peaks is rather complex that is a function of sample thermal conductivity, specific heat, quantity and latent heats, etc. If the first point where the two peaks begin to overlap is at the posterior half of the first peak curve and the two overlapped peaks can be identified by two different peaks, from the curve of overlapped peaks we can know that the temperature corresponding to the first point deviating from the sample's first phase change curve is the sample's second phase change temperature. This revised version was published online in August 2006 with corrections to the Cover Date.     

Independent Components Analysis of the Overlapping Voltammetric Signals

This paper introduces the Independent Components Analysis (ICA) to voltammetry and extends possibility of the qualitative and quantitative analysis of binary mixtures of similar oxidation/reduction potentials. It was demonstrated that even in the case of distance between peaks potentials equal to 10 mV, determinations may be realized according to typical validation criteria. The methodology was presented using the simulated data and capabilities and limitations of the method were described. Further, the usefulness of ICA was presented for voltammograms registered during simultaneous determination of copper and antimony, and thallium and indium. The results of high practical importance for chemical analysis were achieved and documented. In the quantitative analysis a property was extensively used, that ICA is an unsupervised method.     

完全重叠色波二维谱的解析新方法

提出一种新的完全重叠色波二维谱解析方法。对于两组分色谱－光谱数据阵，只要在重叠区中存在单组分区，就能解得各组分的纯色谱和纯光谱，这种方法将求解纯谱问题转化为优化问题，再用数值遗传算法寻找最优解．本法用于２，４－二硝基苯酚和３，５－二硝基苯甲酸的合成实验以及四环素的杂质分析都得到满意的结果．     

正交投影用于一维重叠色谱峰分辨及背景扣除

对于两组份色谱重叠峰体系,当以小组份色谱峰作为干扰时,本文利用正交投影方法,通过构造正交投影矩阵,利用原始信号及其投影与背景之间的内在关系来确定真实背景,从而将背景干扰予以扣除,使含背景干扰的一维重叠色谱峰得以分辨。模拟研究表明,对于两组份色谱峰重叠体系当以小色谱峰为干扰时本文方法具有很好的分辨效果,对于完全重叠峰,即使其峰分离度为零能得到满意的结果。     

三元重叠色谱峰面积的定量方法

本从色谱峰的ＥＭＧ模型出发，通过对重叠色谱峰的模拟和回归分析，提出了一种三元重叠色谱峰的面积的定量方法，三元重叠色谱峰的每一个峰面积可以由峰面积比和总面积求得，此法所需的数据都由实验色谱图上测得，峰面积计算结果的相对误差小于±５％，适用于相对峰谷为５０％－９５％的三元重叠色谱峰面积的定量。     

人工神经网络方法用于脉冲极谱重叠峰解析

将人工神经网络用于脉冲极谱法中Ｐｂ和Ｔｌ重叠信号峰的解析，对神经网络参数的影响及优化作了研究。结果表明，网络的增益，学习速率和动量是影响网络收敛和稳定性的关键参数。本文还将神经网络与偏最小二乘法的计算结果作了比较。     

基于分形理论分辨重叠峰的新算法

将分形理论用于仪器分析信号的解析,提出一种面向分析谱图中重叠信号处理的分形分辨算法.通过对信号进行分形分析,采用分形维数可有效地反映信号的特征,准确地得到谱峰个数和位置的信息,避免人为判断的误差,实现重叠复合信号的分辨.实验表明,这种新的重叠谱峰分辨法能用于光谱、电化学、色谱等仪器分析数据的处理