光学学报, 2017, 37 (7): 0730001, 网络出版: 2017-07-10
光谱信号乘性加性混合随机噪声去除方法 下载: 550次
Denoising Method of Spectral Signal with Multiplicative and Additive Mixed Random Noises
光谱学 维纳滤波 同态滤波 加性噪声 乘性噪声 spectroscopy Wiener filtering homomorphic filtering additive noise multiplicative noise
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。
Abstract
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.
陈正伟, 张方, 周扬, 黄惠杰. 光谱信号乘性加性混合随机噪声去除方法[J]. 光学学报, 2017, 37(7): 0730001. Chen Zhengwei, Zhang Fang, Zhou Yang, Huang Huijie. Denoising Method of Spectral Signal with Multiplicative and Additive Mixed Random Noises[J]. Acta Optica Sinica, 2017, 37(7): 0730001.