光谱信号乘性加性混合随机噪声去除方法  

Denoising Method of Spectral Signal with Multiplicative and Additive Mixed Random Noises

作　　者：陈正伟[1,2,3] 张方[1] 周扬[3] 黄惠杰[1,2] 

机构地区：[1]中国科学院上海光学精密机械研究所信息光学与光电技术实验室,上海201800 [2]中国科学院大学,北京100049 [3]浙江科技学院工程训练中心,浙江杭州310023

出　　处：《光学学报》2017年第7期334-341,共8页Acta Optica Sinica

基　　金：政府间国际科技创新合作重点专项(2016YFE0110600);浙江省公益技术研究社会发展项目(2015C33087);上海市国际科技合作基金项目(16520710500)

摘　　要：提出一种光谱信号噪声的乘性加性混合分析模型,并采用维纳滤波和同态滤波相结合的算法对光谱信号进行去噪处理。仿真结果表明,该算法比移动平均算法、最小均方算法和递归最小均方算法具有更好的去噪性能。实验结果表明,氙灯光谱信号中的噪声符合乘性加性混合模型。与移动平均算法、最小均方算法和递归最小均方算法相比,从该算法处理后的汞灯光谱信号中能够提取更加稳定的谱峰谷位置、谱峰幅度、谱峰半峰全宽等特征值,定量分析时能获得更好的结果。An analysis model for mixed multiplicative and additive noise of spectral signal is built,and an algorithm combining Wiener filtering and homomorphic filtering is proposed to denoise the spectral signal.Simulation results show that the proposed algorithm has better performance than moving average algorithm,least mean square algorithm and recursive least square algorithm.Experimental results indicate that the noise in xenon lamp spectral signal matches the mixed multiplicative and additive model.Compared with moving average algorithm,least mean square algorithm,and recursive least squares algorithm,after the mercury lamp spectral signal is processed by the proposed algorithm,more stable characteristic spectral parameters can be extracted,such as peak and valley locations,peak amplitude and full width at half maximum.Better result can be obtained in quantitative analysis with the proposed algorithm.

关 键 词：光谱学 维纳滤波 同态滤波 加性噪声 乘性噪声 

分 类 号：O433.4[机械工程—光学工程] TP391[理学—光学]