中国激光, 2016, 43 (9): 0904005, 网络出版: 2018-05-25   

脉冲啁啾干涉绝对距离测量中的时频分析

Time-Frequency Analysis in Absolute Distance Measurement Using Chirped Pulse Interferometry
作者单位
1 天津大学精密测试技术及仪器国家重点实验室, 天津 300072
2 中国空间技术研究院北京卫星环境工程研究所, 北京 100029
摘要
介绍了飞秒脉冲啁啾干涉测距的原理和典型的时频变换方法,比较了这些方法对啁啾光谱干涉信号分析的影响,研究了影响结果的因素,并将这些方法用于处理啁啾光谱干涉的测距数据。通过实验比对发现,相对于参考的He-Ne干涉仪数据,这些时频变换方法的处理结果在65 m范围内的相对精度都优于6×10-7,满足高精度处理要求,其中SPWV(smoothed pseudo Wigner-Ville)分布、连续小波变换(CWT)和SCW(smoothed Choi-Williams)分布处理啁啾光谱数据性能较好,获得了预期的结果。
Abstract
This paper introduces the principle of chirped femtosecond pulse interference ranging and typical time-frequency analysis methods, and the influences of these methods on the analysis of the chirped spectra interference signal are compared. The factors which can affect the results are studied, and these methods are used for processing the ranging data of chirped spectrum interference. The experiment comparison shows that the relative precisions of the time-frequency transform methods are all better than 6×10-7 in a range up to 65 m, with respect to the reference He-Ne interferometer data, which meets the high-precision processing requirements. Wherein smoothed pseudo Wigner-Ville distribution, continuous wavelet transform and smoothed Choi-Williams distribution perform better in processing chirped spectral data and get the expected results.
参考文献

[1] 曲兴华, 戴建芳, 张福民. 基于激光测距的大尺寸测量应用研究[J]. 仪器仪表学报, 2009, 30(3): 481-485.

    Qu Xinghua, Dai Jianfang, Zhang Fumin. Application study on laser ranging in large-scale measurement[J]. Chinese Journal of Scientific Instrument, 2009, 30(3): 481-485.

[2] 王国超, 颜树华, 杨俊, 等. 基于飞秒光梳互相关的空间精密测距理论模型分析[J]. 光学学报, 2015, 35(4): 0412002.

    Wang Guochao, Yan Shuhua, Yang Jun, et al. Theoretical modeling analysis for precise space ranging based on cross-correlation of femtosecond optical frequency comb[J]. Acta Optica Sinica, 2015, 35(4): 0412002.

[3] Ye J. Absolute measurement of a long, arbitrary distance to less than an optical fringe[J]. Optics Letters, 2004, 29(10): 1153-1155.

[4] Wei D, Takahashi S, Takamasu K, et al. Time-of-flight method using multiple pulse train interference as a time recorder[J]. Optical Express, 2011, 19(6): 4881-4889.

[5] Wu H, Zhang F, Li J, et al. Intensity evaluation using a femtosecond pulse laser for absolute distance measurement[J]. Applied Optics, 2015, 54(17): 5581-5590.

[6] Matsumoto H, Wang X, Takamasu K, et al. Absolute measurement of baselines up to 403 m using heterodyne temporal coherence interferometer with optical frequency comb[J]. Applied Physics Express, 2012, 5(4): 046601.

[7] Joo K N, Kim S W. Absolute distance measurement by dispersive interferometry using a femtosecond pulse laser[J]. Optical Express, 2006, 14(13): 5954-5960.

[8] 王国超, 魏春华, 颜树华. 光梳多波长绝对测距的波长选择及非模糊度量程分析[J]. 光学学报, 2014, 34(4): 0412002.

    Wang Guochao, Wei Chunhua, Yan Shuhua. Wavelength selection and non-ambiguity range analysis for optical-comb-referenced multi-wavelength absolute distance measurement[J]. Acta Optica Sinica, 2014, 34(4): 0412002.

[9] Cui M, Zeitouny M G, Bhattacharya N, et al. High-accuracy long-distance measurements in air with a frequency comb laser[J]. Optics letters, 2009, 34(13): 1982-1984.

[10] 许艳, 周维虎, 刘德明. 飞秒激光脉冲序列互相关的数值模型与分析[J]. 中国激光, 2011, 38(11): 1108002.

    Xu Yan, Zhou Weihu, Liu Deming. Numerical experiment and analysis of cross-correlation between pulses of femtosecond laser sequence[J]. Chinese J Lasers, 2011, 38(11): 1108002.

[11] 安慰宁, 张福民, 吴翰钟, 等. 一种基于飞秒光频梳频域干涉的绝对测距方法[J]. 仪器仪表学报, 2014, 35(11): 2458-2465.

    An Weining, Zhang Fumin, Wu Hanzhong, et al. Absolute distance measurement method based on frequency-domain interference using a femtosecond optical frequency comb[J]. Chinese Journal of Scientific Instrument, 2014, 35(11): 2458-2465.

[12] 吴翰钟, 曹士英, 张福民, 等. 光学频率梳基于光谱干涉实现绝对距离测量[J]. 物理学报, 2015, 64(2): 020601.

    Wu Hanzhong, Cao Shiying, Zhang Fumin, et al. Spectral interferometry based absolute distance measurement using frequency comb[J]. Acta Physica Sinica, 2015, 64(2): 020601.

[13] 刘亭洋, 张福民, 吴翰钟, 等. 光学频率梳啁啾干涉实现绝对距离测量[J]. 物理学报, 2016, 65(2): 020601.

    Liu Tingyang, Zhang Fumin, Wu Hanzhong, et al. Absolute distance ranging by means of chirped pulse interferometry[J]. Acta Physica Sinica, 2016, 65(2): 020601.

[14] Wu X Y, Liu T Y. Spectral decomposition of seismic data with reassigned smoothed pseudo Wigner-Ville distribution[J]. Journal of Applied Geophysics, 2009, 68(3): 386-393.

[15] de SouzaN E P, Custaud M A, Frutoso J, et al. Smoothed pseudo Wigner-Ville distribution as an alternative to Fourier transform in rats[J]. Autonomic Neuroscience Basic & Clinical, 2001, 87(2): 258-267.

[16] Karlheinz G. Foundations of time-frequency analysis[M]. Berlin: Springer Science & Business Media, 2001.

[17] Tan J L,Bin Sha′ameri A Z. Signal analysis and classification of digital communication signals using adaptive smooth-windowed Wigner-Ville distribution[C]. Telecommunication Technologies 2008 and 2008 2nd Malaysia Conference on Photonics, 2008: 260-266.

[18] 杨梦玲, 苏新彦, 王鉴, 等. 膛内目标有效信号自动提取方法[J]. 激光与光电子学进展, 2015, 52(9): 092802.

    Yang Mengling, Su Xinyan, Wang Jian, et al. A method of automatic extraction of effective signal of target in interior ballistics[J]. Laser & Optoelectronics Progress, 2015, 52(9): 092802.

[19] Gabor D. Theory of communication[J]. Journal of the IEEE, 1946, 93: 429-457.

[20] Prior J, Castro E, Chin A W, et al. Wavelet analysis of molecular dynamics: efficient extraction of time-frequency information in ultrafast optical processes[J]. Journal of Chemical Physics, 2013, 139(22): 224103.

[21] 葛哲学, 陈仲生. Matlab时频分析技术及其应用[M]. 北京: 人民邮电出版社, 2006: 9-15.

    Ge Zhexue, Chen Zhongsheng. Matlab time-frequency analysis technology and its application[M]. Beijing: People′s Posts & Telecom Press, 2006: 9 -15.

[22] 刘寿先, 李泽仁, 吴建荣, 等. 基于连续小波变换的瞬态位移干涉仪信号处理[J]. 中国激光, 2008, 35(8): 1235-1239.

    Liu Shouxian, Li Zeren, Wu Jianrong, et al. Signal processing of displacement interferometer based on the continuous wavelet transform[J]. Chinese J Lasers, 2008, 35(8): 1235-1239.

[23] 王远干, 喻洪麟, 黄良明. 基于小波分析的光栅信号质量评估方法[J]. 中国激光, 2005, 32(3): 336-340.

    Wang Yuangan, Yu Honglin, Huang Liangming. Grating signal quality assessment based on wavelet analysis[J]. Chinese J Lasers, 2005, 32(3): 336-340.

[24] Hippenstiel R D, De Oliveira P M. Time-varying spectral estimation using the instantaneous power spectrum (IPS)[J]. IEEE Transactions Acoustics Speech & Signal Processing, 1990, 38(10): 1752-1759.

[25] Margenau H, Hill R N. Correlation between measurements in quantum theory[J]. Progress of Theoretical Physics, 1961, 26(5): 722-738.

[26] Wigner E. On the quantum correction for thermodynamic equilibrium[J]. Physics Review, 1932, 40(5): 749-759.

[27] Ville J. Théorie et applications de la notion de signal analytique[J]. Cables et Transmission, 1948, 2(1): 61-74.

[28] Cohen L. Time-frequency distributions-a review[J]. Proceedings of the IEEE, 1989, 77(7): 941-981.

[29] Cohen L. Generalized phase-space distribution functions[J]. J Mathematical Physics, 1966, 7(5): 781-786.

[30] 白雪, 郭磐, 陈思颖, 等. 相干多普勒测风激光雷达时域信号仿真及时频分析[J]. 中国激光, 2015, 42(1): 114003.

    Bai Xue, Guo Pan, Chen Siying, et al. Simulation in the time domain and time-frequency analysis for coherent Doppler wind lidar[J]. Chinese J Lasers, 2015, 42(1): 114003.

[31] Claasen T, Mecklenbrauker W. The Wigner distribution-A tool for time-frequency signal analysis[J]. Philips Journal of Research, 1980, 35: 217-250.

[32] Choi H I, Wolliams W J. Improved time-frequency representation of multicomponent signals using exponential kernels[J]. IEEE Transactions Acoustics Speech & Signal Processing, 1989, 37(6): 862-871.

[33] Wu H, Zhang F, Liu T, et al. Absolute distance measurement by chirped pulse interferometry using a femtosecond pulse laser[J]. Optical Express, 2015, 23(24): 31582-31593.

[34] Ciddor P E. Refractive index of airnew equations for the visible and near infrared[J]. Applied Optics, 1996, 35(9): 1566-1573.

[35] Qian S, Chen D. Joint time-frequency analysis[J]. IEEE Signal Process Magazine, 1999, 16(2): 52-67.

刘亭洋, 张福民, 吴翰钟, 曲兴华, 樊世超, 杨艳静, 高海洋. 脉冲啁啾干涉绝对距离测量中的时频分析[J]. 中国激光, 2016, 43(9): 0904005. Liu Tingyang, Zhang Fumin, Wu Hanzhong, Qu Xinghua, Fan Shichao, Yang Yanjing, Gao Haiyang. Time-Frequency Analysis in Absolute Distance Measurement Using Chirped Pulse Interferometry[J]. Chinese Journal of Lasers, 2016, 43(9): 0904005.

本文已被 2 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!