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针对多个领域共同遭遇的重叠峰信号分离难题,提出了一种分离重叠峰信号的简单方法.利用Tsallis分布作为待处理峰信号的模型,借助分数阶微分作为信号变换工具,通过建立Tsallis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,获得了两类参数估计器,利用这些参数估计器,通过调节峰形参数能够估计出Gaussian峰、Lorentzian峰和Tsallis峰信号的峰位置、峰高和峰宽参数,根据获得的特征参数可拟合出待分析的峰信号,从而实现重叠峰信号的分离.
Aiming at the problem of overlapping peak signals in many fields, a simple method of separating overlapping peak signals is proposed. Using the Tsallis distribution as a model of the peak signals to be processed, by using fractional differential as a signal transformation tool, And the relation between its extremum and its differential order and the relationship between its zero-crossing and its differential orders, two types of parameter estimators are obtained. By using these parameter estimators, Gaussian peak, Lorentzian peak and Tsallis can be estimated by adjusting the peak parameters The peak position, peak height and peak width parameters of the peak signal can be fitted to the peak signal to be analyzed according to the obtained characteristic parameters so as to achieve the separation of overlapping peak signals.