光学学报, 2019, 39 (9): 0930007, 网络出版: 2019-09-09
基于小波变换的干涉光谱信号检测与校正方法 
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Detection and Revision of Interference Spectral Signals Based on Wavelet Transforms
图 & 表
图 1. 两组模拟的光谱信号。(a)宽带光谱曲线;(b)窄带光谱曲线
Fig. 1. Two simulated spectral signals. (a) Broad-band spectral curve; (b) narrow-band spectral curve
图 2. 两组模拟光谱信号中的无效点。(a)宽带光谱干涉条纹的局部放大图;(b)宽带光谱干涉条纹;(c)窄带光谱干涉条纹的局部放大图;(d)窄带光谱干涉条纹
Fig. 2. Invalid data points of two simulated spectral signals. (a) Local magnification of broad-band spectrum interference fringe; (b) broad-band spectrum interference fringe; (c) local magnification of narrow-band spectrum interference fringe; (d) narrow-band spectrum interference fringe
图 3. 干涉信号小波变换后第15阶对应的信号。(a)宽带光谱小波信号;(b)窄带光谱小波信号
Fig. 3. 15th-order corresponding signal after wavelet transform of interferometer signal. (a) Broad-band spectrum wavelet signal; (b) narrow-band spectrum wavelet signal
图 4. 存在漏采样的干涉信号。(a)完整信号;(b)局部放大信号
Fig. 4. Interference signal with missing sample point. (a) Complete signal; (b) locally amplified signal
图 5. 由漏采样的干涉信号得到的复原光谱
Fig. 5. Recovery spectrum of interferometer signal with missing sample point
图 6. 存在漏采样点的干涉信号经小波变换后第15阶对应的信号。(a)完整信号;(b)局部放大信号
Fig. 6. 15th-order corresponding signal of interference signal with missing sample point after wavelet transform. (a) Complete signal; (b) locally amplified signal
图 7. 由校正的干涉信号复原得到的光谱信息。(a)宽带光谱曲线;(b)窄带光谱曲线
Fig. 7. Recovery spectral information from revised interference signal. (a) Broad-band spectral curve; (b) narrow-band spectral curve
图 8. 模拟干涉信号中复原光谱信号的相对误差。(a)宽带光谱误差曲线;(b)窄带光谱误差曲线
Fig. 8. Relative errors of recovery spectral signal from simulated interference signal. (a) Broad-band spectral error curve; (b) narrow-band spectral error curve
图 9. 实验系统。(a)原理图;(b)完整的实验系统;(c)干涉模块
Fig. 9. Experimental system. (a) Principle of system; (b) complete experimental system; (c) interference module
图 10. 实验获得的干涉信号与复原光谱信号。(a)干涉信号;(b)小波变换信号;(c)复原光谱信号
Fig. 10. Interference signal captured by experimental system and recovery spectral signal. (a) Interference signal; (b) wavelet transform signal; (c) recovery spectral signal
表 1校正后无效点位置的强度值与模拟值
Table1. Intensity values at invalid data points after revision and simulated values
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孟鑫, 刘磊, 江升, 张冰, 李志增. 基于小波变换的干涉光谱信号检测与校正方法[J]. 光学学报, 2019, 39(9): 0930007. Xin Meng, Lei Liu, Sheng Jiang, Bing Zhang, Zhizeng Li. Detection and Revision of Interference Spectral Signals Based on Wavelet Transforms[J]. Acta Optica Sinica, 2019, 39(9): 0930007.
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