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为实现光反馈机理下激光自混合干涉信号相位的精确提取, 本文提出了一种基于经验模态分析(EMD)的方法.首先, 采用EMD算法对含噪的自混合干涉信号进行了降噪预处理, 提取有效的干涉信号.然后在对含有外腔物体运动信息的光反馈相位求解的过程中, 利用希尔伯特黄变换(HHT)原理实时提取每一时刻的瞬时相位, 将其去包裹处理后得到真实相位. 在弱、适度、强光反馈条件下, 分别对基于EMD的相位提取算法进行了仿真研究.最后, 搭建了基于自混合干涉效应的微位移测量实验平台, 进行实验研究.实验结果表明, 利用该方法可以实现对自混合干涉信号的相位提取, 最大误差小于1.6 rad.仿真和实验结果的一致性, 说明了EMD方法的有效性.In order to achieve precise extraction of the phase with a light feedback mechanism, based on empirical mode decomposition (EMD) algorithm, an adaptive phase extraction method is proposed in this paper. First of all, the EMD algorithm is acted on the self-mixing interference (SMI) mixed noise signals, then using the principle of HHT to extract the instantaneous phase information in the SMI signal in time and retrieve the true phase of the object from the wrapped phase. In this paper, the phase extraction algorithm based on EMD are simulated under different optical feedback conditions. Finally, an experimental setup based on SMI has been given for demonstration. Experimental results show that this method is correct in principle and can be used in the precise extraction and its maximum error is less than 1.6 rad. The simulation results are consistent with the experimental data, which show the effectiveness of the proposed method.
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Keywords:
- optical feedback self-mixing interference /
- phase extraction /
- EMD /
- denoising
[1] King P G R, Steward G J 1963 New Sci. 17 180
[2] Mao W, Zhang S L, Zhang L Q, Zhu J, Li Y 2006 Acta Phys. Sin. 55 4704 (in Chinese) [毛威, 张书练, 张连清, 朱钧, 李岩 2006 物理学报 55 4704]
[3] Zhu J, Zhao Y, Jin G F 2008 Chin. Phys. B 17 2979
[4] Ji J Y, Ye H Y, Yu Y G 2011 Laser Infrared 41 89 (in Chinese) [姬静毅, 叶会英, 禹延光 2011 激光与红外 41 89]
[5] Yang Y, Li X F, Kou K, Wang C 2012 Optics and Precision Engineering 20 1740 (in Chinese) [杨颖, 李醒飞, 寇科, 王错 2012 光学精密工程 20 1740]
[6] Servagent N, Bosch T, Lescure M 2000 Selected Topics in Quantum Electronics 6 798
[7] Guo D M, Tan S Q, Wang M 2006 Acta Optica Sinica 26 845 (in Chinese) [郭冬梅, 谈苏庆, 王鸣 2006 光学学报 26 845]
[8] Zhang Z Y, Gao Y, Zhao X H, Zhao X 2010 Laser Optoelectronics Progress 2010 96 (in Chinese) [张照云, 高杨, 赵兴海, 赵翔 2010 激光与光电子学进展 2010 96]
[9] Zweig D A, Hufnagel R E 1990 Advanced Optical Manufacturing and Testing, San Diego, July 01 1990 p295
[10] Pereira T, Vaz P, Oliverira T, Santos I, Pereira H C, Almeida V, Correia C, Cardoso J 2013 Physiological Measurement 34 3
[11] Liu G, Zhang S L, Xu T, Zhu J, Li Y 2005 Acta Phys.Sin. 54 4701 (in Chinese) [刘刚, 张书练, 徐亭, 朱钧, 李岩 2005 物理学报 54 4701]
[12] Zou M W, Feng G L, Gao X Q 2006 Chin. Phys. B 15 1384
[13] Huang N E, Shen Z, Long S R, Wu M C, Shih H H, Zheng Q, Yen N C, Tung C C, Liu H H 1998 Proc. Roy. Soc. Lond. A 454 903
[14] Wang F P, Zou W F, Ying Z 2009 Opto-Electronic Engineering 36 92 (in Chinese) [王凤鹏, 邹万芳, 尹真 2009 光电工程 36 92]
[15] Kong W, Xiao J, Chang Z T 2012 Journal of Projectiles, Rockets, Missiles and Guidance 32 189 (in Chinese) [孔伟, 肖剑, 常增田 2012 弹箭与制导学报 32 189]
[16] Andrade A O, Nasuto S, Kyberd P 2006 Biomedical Signal Processing and Control. 1 44
[17] Wei L, Xi J, Yu Y, Chicharo J 2006 Intelligent Signal Processing and Communications, Yonago, Dec 12-15 2006 p780
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[1] King P G R, Steward G J 1963 New Sci. 17 180
[2] Mao W, Zhang S L, Zhang L Q, Zhu J, Li Y 2006 Acta Phys. Sin. 55 4704 (in Chinese) [毛威, 张书练, 张连清, 朱钧, 李岩 2006 物理学报 55 4704]
[3] Zhu J, Zhao Y, Jin G F 2008 Chin. Phys. B 17 2979
[4] Ji J Y, Ye H Y, Yu Y G 2011 Laser Infrared 41 89 (in Chinese) [姬静毅, 叶会英, 禹延光 2011 激光与红外 41 89]
[5] Yang Y, Li X F, Kou K, Wang C 2012 Optics and Precision Engineering 20 1740 (in Chinese) [杨颖, 李醒飞, 寇科, 王错 2012 光学精密工程 20 1740]
[6] Servagent N, Bosch T, Lescure M 2000 Selected Topics in Quantum Electronics 6 798
[7] Guo D M, Tan S Q, Wang M 2006 Acta Optica Sinica 26 845 (in Chinese) [郭冬梅, 谈苏庆, 王鸣 2006 光学学报 26 845]
[8] Zhang Z Y, Gao Y, Zhao X H, Zhao X 2010 Laser Optoelectronics Progress 2010 96 (in Chinese) [张照云, 高杨, 赵兴海, 赵翔 2010 激光与光电子学进展 2010 96]
[9] Zweig D A, Hufnagel R E 1990 Advanced Optical Manufacturing and Testing, San Diego, July 01 1990 p295
[10] Pereira T, Vaz P, Oliverira T, Santos I, Pereira H C, Almeida V, Correia C, Cardoso J 2013 Physiological Measurement 34 3
[11] Liu G, Zhang S L, Xu T, Zhu J, Li Y 2005 Acta Phys.Sin. 54 4701 (in Chinese) [刘刚, 张书练, 徐亭, 朱钧, 李岩 2005 物理学报 54 4701]
[12] Zou M W, Feng G L, Gao X Q 2006 Chin. Phys. B 15 1384
[13] Huang N E, Shen Z, Long S R, Wu M C, Shih H H, Zheng Q, Yen N C, Tung C C, Liu H H 1998 Proc. Roy. Soc. Lond. A 454 903
[14] Wang F P, Zou W F, Ying Z 2009 Opto-Electronic Engineering 36 92 (in Chinese) [王凤鹏, 邹万芳, 尹真 2009 光电工程 36 92]
[15] Kong W, Xiao J, Chang Z T 2012 Journal of Projectiles, Rockets, Missiles and Guidance 32 189 (in Chinese) [孔伟, 肖剑, 常增田 2012 弹箭与制导学报 32 189]
[16] Andrade A O, Nasuto S, Kyberd P 2006 Biomedical Signal Processing and Control. 1 44
[17] Wei L, Xi J, Yu Y, Chicharo J 2006 Intelligent Signal Processing and Communications, Yonago, Dec 12-15 2006 p780
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