小波分形分析重叠峰信号  

The Resolution of Overlapping Peaks by Utilizing Wavelet Fractal

作　　者：邱建丁[1,2] 梁汝萍[1,2] 邹小勇[1] 莫金垣[1] 

机构地区：[1]中山大学化学与化学工程学院,广东广州510275 [2]萍乡高等专科学校化工系,江西萍乡337055

出　　处：《分析测试学报》2003年第5期1-5,共5页Journal of Instrumental Analysis

基　　金：国家自然科学基金资助项目(29975033);广东省自然科学基金资助项目(001237和980340)

摘　　要：用连续小波变换与分形理论相结合的小波分形峰位法对含噪重叠信号峰位置的提取进行了研究,同时考察了信噪比和分离度对该法提取峰位置的影响;结果表明:该法是一种提取含噪重叠信号中各单独峰峰位置的有效工具,即使对于重叠程度和噪声干扰严重的信号也能得到较好的结果;将其用于Cd(Ⅱ)和In(Ⅲ)重叠伏安信号的处理,峰位置提取的相对误差小于±1%;该法具有准确、快捷、简便易行等特点,发展前景广阔。The wavelet fractal peak positions method(WFPPM)for resolving overlapping peaks with noise by continuous wavelet transform(CWT)combined with fractal theory was proposed.The results exhibit that WFPPMis an efficient tool to extract the peak positions from unresolved signal,and satisfactory results can still be obtained even though in the case of considerable overlap and severe interference of noise.Relative errors of less than±1.0%in peak positions were obtained when WFPPMwas used in the processing of cadmium(Ⅱ)-indium(Ⅲ)mixture system.The analytical results demonstrate that the desired peak positions can be extracted conveniently,accurately and rapidly from an unresolved signal via WFPPM.This mehod is very promising for practical appliˉcation and tremendous development based on WFPPM in extracting overlapping signals would be expected in the near future.

关 键 词：小波变换 分形理论 小波分形峰位法 噪声干扰 重叠峰信号 化学分析 化学信息峰 仪器分析 

分 类 号：O657.1[理学—分析化学]