单光子激光测距的漂移误差理论模型及补偿方法

黄科; 李松; 马跃; 田昕; 周辉; 张智宇

doi:10.7498/aps.67.20172228

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摘要

单光子激光测距系统采用高灵敏度的单光子探测器作为接收器件，更易实现高密度、高覆盖率的目标采样，是未来激光测距系统的发展方向.漂移误差作为限制单光子激光测距精度提高的瓶颈问题，其主要由平均回波信号光子数的变化引起.以激光雷达方程、单光子探测器的概率与统计理论为基础，建立了漂移误差的理论模型，给出了漂移误差与平均信号光子数、均方根脉宽等系统参数之间的理论关系式.同时，结合单光子探测概率模型给出了一种漂移误差的修正方法，并搭建实验系统对漂移误差模型和修正方法进行了验证.在回波信号均方根脉宽为3.2 ns、平均回波信号光子数为0.03到4.3个情况下，未经修正的漂移误差最大达到46 cm，经修正后的均方根误差为1.16 cm，平均绝对误差为0.99 cm，达到1 cm量级，漂移误差对测距精度的影响基本可以忽略.该方法可以解决漂移误差制约单光子激光测距精度提高的瓶颈问题.

关键词:

作者及机构信息

1.
武汉大学电子信息学院, 武汉 430072

通信作者: 李松, ls@whu.edu.cn

基金项目: 国家自然科学基金（批准号：41506210）、国家科技重大专项（批准号：42-Y20A11-9001-17/18）、中国博士后科学基金（批准号：2016M600612）和卫星测绘技术与应用国家测绘地理信息局重点实验室（批准号：KLSMTA-201701）资助的课题.

参考文献

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[2]	Abdullah Q A 2016 Photogramm. Eng. Rem. S. 82 307
[3]	Brown M E, Arias S D, Neumann T, Jasinski M F, Posey P, Babonis G 2016 IEEE Geosci. Remote S. 4 24
[4]	Yu A W, Krainak M A, Harding D J, et al. 2013 Proc. SPIE 8599 85990P
[5]	Gatt P, Johnson S, Nichols T L 2007 Proc. SPIE 6550 65500I
[6]	Apakwok R, Markus T, Morison J, Palm S P, Neumann T A, Brunt K M 2014 J. Atmos. Ocean. Technol. 31 1151
[7]	Zhang S, Tao X, Feng Z J, Wu G H, Xue L, Yan X C, Zhang L B, Jia X Q, Wang Z Z, Sun J, Dong G Y, Kang L, Wu P H 2016 Acta Phys. Sin. 65 188501 (in Chinese) [张森, 陶旭, 冯志军, 吴淦华, 薛莉, 闫夏超, 张蜡宝, 贾小氢, 王治中, 孙俊, 董光焰, 康琳, 吴培亨 2016 物理学报 65 188501]
[8]	Lai J, Jiang H, We Y, Wang C, Li Z 2013 Optik 124 5202
[9]	Luo H, Yuan X, Zeng Y 2013 Opt. Express 21 18983
[10]	Xu L, Zhang Y, Zhang Y, Yang C, Yang X, Zhao Y 2016 Appl. Opt. 55 1683
[11]	Oh M S, Kong H J, Kim T H, Hong K H, Kim B W 2010 Opt. Commun. 283 304
[12]	He W, Sima B, Chen Y, Dai H, Chen Q, Gu G 2013 Opt. Commun. 308 211
[13]	Gardner C S 1992 IEEE Trans. Geosci. Remote Sens. 30 1061
[14]	Kim S, Lee I, Kwon Y J 2013 Sensors 13 8461
[15]	Johnson S, Gatt P, Nichols T L 2003 Proc. SPIE 2003 5086
[16]	Williams G M, Huntington A S 2006 Proc. SPIE 6220 622008
[17]	Degnan J J 2002 J. Geodyn. 34 503
[18]	Fouche D G 2003 Appl. Opt. 42 5388
[19]	Markus T, Neumann T, Martino A, Abdalati W, Brunt K, Csatho B, Farrell S, Fricker H, Gardner A, Harding D, Jasinski M, Kwok R, Magruder L, Lubin D, Luthcke S, Morison J, Nelson R, Neuenschwander A, Palm S, Popescu S, Shum C, Schutz B E, Smith B, Yang Y, Zwally J 2017 Remote Sens. Environ. 190 260
[20]	Johnson S E, Nichols T L, Gat P, Klausutis T J 2004 Sensors 5412 72
[21]	Huang K, Li S, Ma Y, Zhou H, Yi H, Si G Y 2016 Chin. J. Lasers 11 1110001 (in Chinese) [黄科, 李松, 马跃, 周辉, 易洪, 史光远 2016 中国激光 11 1110001]
[22]	Sithole G 2001 Int. Arch. Photogramm. Remote Sens. 34 203
[23]	Zhang J S 2014 Ph. D. Dissertation (Rochester:Rochester Institute of Technology)

施引文献

[1]	Iqbal I A, Dash J, Ullah S, Ahmad G 2013 Int. J. Appl. Earth Obs. 23 109
[2]	Abdullah Q A 2016 Photogramm. Eng. Rem. S. 82 307
[3]	Brown M E, Arias S D, Neumann T, Jasinski M F, Posey P, Babonis G 2016 IEEE Geosci. Remote S. 4 24
[4]	Yu A W, Krainak M A, Harding D J, et al. 2013 Proc. SPIE 8599 85990P
[5]	Gatt P, Johnson S, Nichols T L 2007 Proc. SPIE 6550 65500I
[6]	Apakwok R, Markus T, Morison J, Palm S P, Neumann T A, Brunt K M 2014 J. Atmos. Ocean. Technol. 31 1151
[7]	Zhang S, Tao X, Feng Z J, Wu G H, Xue L, Yan X C, Zhang L B, Jia X Q, Wang Z Z, Sun J, Dong G Y, Kang L, Wu P H 2016 Acta Phys. Sin. 65 188501 (in Chinese) [张森, 陶旭, 冯志军, 吴淦华, 薛莉, 闫夏超, 张蜡宝, 贾小氢, 王治中, 孙俊, 董光焰, 康琳, 吴培亨 2016 物理学报 65 188501]
[8]	Lai J, Jiang H, We Y, Wang C, Li Z 2013 Optik 124 5202
[9]	Luo H, Yuan X, Zeng Y 2013 Opt. Express 21 18983
[10]	Xu L, Zhang Y, Zhang Y, Yang C, Yang X, Zhao Y 2016 Appl. Opt. 55 1683
[11]	Oh M S, Kong H J, Kim T H, Hong K H, Kim B W 2010 Opt. Commun. 283 304
[12]	He W, Sima B, Chen Y, Dai H, Chen Q, Gu G 2013 Opt. Commun. 308 211
[13]	Gardner C S 1992 IEEE Trans. Geosci. Remote Sens. 30 1061
[14]	Kim S, Lee I, Kwon Y J 2013 Sensors 13 8461
[15]	Johnson S, Gatt P, Nichols T L 2003 Proc. SPIE 2003 5086
[16]	Williams G M, Huntington A S 2006 Proc. SPIE 6220 622008
[17]	Degnan J J 2002 J. Geodyn. 34 503
[18]	Fouche D G 2003 Appl. Opt. 42 5388
[19]	Markus T, Neumann T, Martino A, Abdalati W, Brunt K, Csatho B, Farrell S, Fricker H, Gardner A, Harding D, Jasinski M, Kwok R, Magruder L, Lubin D, Luthcke S, Morison J, Nelson R, Neuenschwander A, Palm S, Popescu S, Shum C, Schutz B E, Smith B, Yang Y, Zwally J 2017 Remote Sens. Environ. 190 260
[20]	Johnson S E, Nichols T L, Gat P, Klausutis T J 2004 Sensors 5412 72
[21]	Huang K, Li S, Ma Y, Zhou H, Yi H, Si G Y 2016 Chin. J. Lasers 11 1110001 (in Chinese) [黄科, 李松, 马跃, 周辉, 易洪, 史光远 2016 中国激光 11 1110001]
[22]	Sithole G 2001 Int. Arch. Photogramm. Remote Sens. 34 203
[23]	Zhang J S 2014 Ph. D. Dissertation (Rochester:Rochester Institute of Technology)

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单光子激光测距的漂移误差理论模型及补偿方法

1. 武汉大学电子信息学院, 武汉 430072

通信作者: 李松, ls@whu.edu.cn

基金项目:

国家自然科学基金（批准号：41506210）、国家科技重大专项（批准号：42-Y20A11-9001-17/18）、中国博士后科学基金（批准号：2016M600612）和卫星测绘技术与应用国家测绘地理信息局重点实验室（批准号：KLSMTA-201701）资助的课题.

收稿日期: 2017-10-13

修回日期: 2017-12-06

刊出日期: 2019-03-20

摘要: 单光子激光测距系统采用高灵敏度的单光子探测器作为接收器件，更易实现高密度、高覆盖率的目标采样，是未来激光测距系统的发展方向.漂移误差作为限制单光子激光测距精度提高的瓶颈问题，其主要由平均回波信号光子数的变化引起.以激光雷达方程、单光子探测器的概率与统计理论为基础，建立了漂移误差的理论模型，给出了漂移误差与平均信号光子数、均方根脉宽等系统参数之间的理论关系式.同时，结合单光子探测概率模型给出了一种漂移误差的修正方法，并搭建实验系统对漂移误差模型和修正方法进行了验证.在回波信号均方根脉宽为3.2 ns、平均回波信号光子数为0.03到4.3个情况下，未经修正的漂移误差最大达到46 cm，经修正后的均方根误差为1.16 cm，平均绝对误差为0.99 cm，达到1 cm量级，漂移误差对测距精度的影响基本可以忽略.该方法可以解决漂移误差制约单光子激光测距精度提高的瓶颈问题.

关键词:

Theoretical model and correction method of range walk error for single-photon laser ranging

1.
School of Electronic Information, Wuhan University, Wuhan 430072, China

Fund Project:

Project supported by the National Natural Science Foundation of China (Grant No. 41506210), the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 42-Y20A11-9001-17/18), the China Postdoctoral Science Foundation (Grant No. 2016M600612), and the Key Laboratory of Satellite Mapping Technology and Application, National Administrator of Surveying, Mapping and Geoinformation, China (Grant No. KLSMTA-201701).

Received Date: 13 October 2017

Accepted Date: 06 December 2017

Published Online: 20 March 2019

Abstract: Single-photon laser ranging is a new generation of lidar which represents the future lidar development trend.It uses the single photon detector as the receiving device.Due to the fact that single-photon detector possesses the ultra-high sensitivity,the single-photon laser ranging is much easier to achieve the high density as well as the high coverage target sampling.However,the existence of the range work error in single-photon laser ranging,resulting from the fluctuation in the number of signal photoelectrons restricts the improvement of the ranging accuracy.In this paper,the range walk error model based on the lidar equation and the statistical property of single-photon detector is established.Then the relation between the range walk error and the number of signal photoelectrons is also derived.The range walk error of single-photon laser ranging is predicted and the corresponding compensation for the original result is obtained,with the derived function and the detection probability model of single-photon laser ranging.The experiment for its proof is also carried out.In the experiment,the number of signal photoelectrons is changed by the different attenuators for the same target and at the same distance.When the attenuator is changed,the pulse width of echo signal changes very little (about 3.2 ns).However,the average number of signal photoelectrons varies between 0.03 counts and 4.3 counts.So the range walk error,resulting from the fluctuation in the number of signal photoelectrons cannot be ignored.For example, when using an attenuation of 1/10 pass rate,the average number of signal photoelectrons is about 4.3 counts and the range walk error is almost 46 cm,which is the main factor of the range error.The reduction of the range walk error is achieved by applying the correction of the range walk error in this paper.After correction,the standard deviation of the range walk error decreases significantly from 15.17 cm to 1.16 cm.The mean absolute error is also reduced from 11.56 cm to 0.99 cm.Generally,the range walk error has an unnegligible influence on the ranging accuracy.The experimental result confirms that the theoretical model is accurate.It also shows that the bigger the number of the received signal photoelectrons,the greater the range walk error is,and the accuracy of single-photon laser ranging is improved by applying the technique proposed in this paper.Briefly,this paper presents the technical method of optimizing the design and evaluating the performance of single-photon laser ranging.

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