相位式激光测距谱分析鉴相的无偏改进

王选钢; 缑宁祎; 张珂殊

doi:10.3788/OPE.20122004.0888

您当前的位置：

首页 >

文章列表页 >

相位式激光测距谱分析鉴相的无偏改进

信息科学 | 更新时间：2020-08-12

- 相位式激光测距谱分析鉴相的无偏改进
- Unbiased improvement of spectrum analysis phase discrimination for phase-shift laser range finder
- 光学精密工程 2012年20卷第4期页码：888-895
- 作者机构：
  
  1. 中国科学院光电研究院北京,100094
  2. 中国科学院研究生院北京,100039
- 作者简介：
- 基金信息：
  
  国家863高技术研究发展计划资助项目(No.2008AA121304)()
- DOI：10.3788/OPE.20122004.0888
  中图分类号： P225.2;TN249
- 收稿日期：2012-01-18，
  
  修回日期：2012-02-15，
  
  网络出版日期：2012-04-22，
  
  纸质出版日期：2012-04-22
- 稿件说明：
移动端阅览
王选钢, 缑宁祎, 张珂殊. 相位式激光测距谱分析鉴相的无偏改进[J]. 光学精密工程, 2012,(4): 888-895

WANG Xuan-gang, GOU Ning-yi, ZHANG Ke-shu. Unbiased improvement of spectrum analysis phase discrimination for phase-shift laser range finder[J]. Editorial Office of Optics and Precision Engineering, 2012,(4): 888-895
王选钢, 缑宁祎, 张珂殊. 相位式激光测距谱分析鉴相的无偏改进[J]. 光学精密工程, 2012,(4): 888-895 DOI： 10.3788/OPE.20122004.0888.

WANG Xuan-gang, GOU Ning-yi, ZHANG Ke-shu. Unbiased improvement of spectrum analysis phase discrimination for phase-shift laser range finder[J]. Editorial Office of Optics and Precision Engineering, 2012,(4): 888-895 DOI： 10.3788/OPE.20122004.0888.

摘要

针对相位式激光测距中的鉴相误差

建立了谱分析鉴相的误差模型

提出了在数据预处理中引入希尔伯特变换来消除相位差估计偏差的测量方法。分析了传统谱分析鉴相的偏差和方差

指出这些测量偏差受初相位的影响

在高速测距中不容忽略。提出了一种无偏改进方法

通过窗函数法设计正弦信号的简易希尔伯特变换器

将离散傅里叶变换的对象转换为解析信号

在仅增加4次加减法运算和2次移位操作的情况下

实现了近似无偏谱分析鉴相。仿真分析和实验验证结果表明

鉴相均值与真实相位差相同;当信噪比为40 dB时

每秒百万次高速鉴相的误差为0.1;当调制频率为100 MHz时

测距精度达到0.4 mm。实验表明

将希尔伯特变换应用于谱分析鉴相

可实现高准确度相位差测量

并可应用于高速相位式激光测距。

Abstract

An error model of phase discrimination based on spectral analysis is deduced to reduce the phase discrimination error for a phase-shift laser range finder

and the Hilbert transform is induced to data pre-processing to eliminate the estimation bias of phase difference. The bias and deviation of conventional spectrum analysis phase discrimination are analyzed. The analysis shows that the bias is influenced by initial phases and it can not be ignored in fast and precision measurement.This paper proposes an unbiased improvement method. The method uses a window function to design a simple Hilbert transformer to convert the objective of Discrete Fourier Transform into an analytic signal. Then the nearly unbiased phase difference measurement is achieved by spectral analysis only in increasing four addition and two shift operations. Simulation and experimental results indicate that the mean phase is the same as the real phase difference. When the signal to noise ratio is 40 dB

the measurement accuracy for the high speed phase discriminaton is 0.1?. When the modulation frequency is 100 MHz

the distance measurement accuracy is 0.4 mm. Results show that the Hilbert transform can help spectral analysis realize high accuracy phase difference measuring and the method can be applied to fast phase-shift laser range finders.

关键词

Keywords

references

贾方秀,丁振良,袁锋. 相位法激光测距接收系统 [J]. 光学精密工程, 2009,17(10):2377-2384. JIA F X, DING Z L, YUAN F. Phase-shift laser range finder receiver system [J]. Opt. Precision Eng., 2009,17(10):2377-2384. (in Chinese)[2] 张婷, 张珂殊. 基于Matlab的相位式激光测距研究[J]. 激光与红外,2010,40(1):22-27. ZHANG T, ZHANG K S. Study of phase-shift laser measuring based on Matlab [J]. Laser & Infrared, 2010,40(1):22-27. (in Chinese)[3] 冯志辉, 刘恩海. 用于激光测距的高精度时间数字转换电路 [J]. 光学精密工程, 2010,18(12):2665-2671. FENG Z H, LIU E H. High-accuracy TDC for laser range finder [J]. Opt. Precision Eng., 2010,18(12):2665-2671. (in Chinese)[4] BAUD C, TAP-BETEILLE H, LESCURE M, et al.. Analog and digital implementation of an accurate phasemeter for laser range finding [J]. Sensors and Actuators A: Physical, 2006,132(1):258-264.[5] 谢蕾, 李季, 陈结祥,等. 基于fft的激光测距数字相位计的实现 [J]. 量子电子学报, 2003,20(1):85-89. XIE L, LI J, CHEN J X, et al.. Realization of digital phase detector based on fft algorithm in laser distance measurement system [J]. Chinese Journal of Quantum Electronics, 2003,20(1):85-89.[6] POUJOULY S, JOURNET B. A twofold modulation frequency laser range finder [J]. Journal of Optics A: Pure and Applied Optics, 2002,4(6):356-363.[7] 孙懋珩, 赵雯. 应用欠采样原理提高相位式激光测距精度 [J]. 红外与激光工程, 2009, 38(1):70-73. SUN M H, ZHAO W. Precision improvement of undersampling theory using phasic laser rangefinder [J]. Infrared and Laser Engineering, 2009,38(1):70-73. (in Chinese)[8] 李春宇, 张晓林, 张展,等. 基于DFT的正弦波初相估计算法及误差分析 [J]. 北京航空航天大学学报, 2007,33(5):580-584. LI C Y, ZHANG X L, ZHANG Z, et al.. Phase estimation of sinusoid signal based on DFT and error analysis [J]. Journal of Beijing University of Aeronautics and Astronautics, 2007,33(5):580-584.(in Chinese)[9] 齐国清. 离散实正弦信号参数估计的Cramer Rao方差下限 [J]. 数据采集与处理, 2003, 18(2):151-154. QI G Q. Cramer rao bounds of real sinusoid parameter estimation from discrete-time observations [J]. Journal of Data Acquisition & Processing, 2003,18(2):151-154.(in Chinese)[10] 齐国清. 利用FFT相位差校正信号频率和初相估计的误差分析 [J]. 数据采集与处理, 2003, 18(1):7-11. QI G Q. Error analysis of frequency and phase estimations based on phase difference of segmented FFTs [J]. Journal of Data Acquisition & Processing, 2003,18(1):7-11.(in Chinese)[11] 王兆华, 黄翔东. 基于全相位谱分析的相位差频谱矫正法 [J]. 电子与信息学报, 2008,30(2):293-297. WANG Z H, HUANG X D. Phase difference correcting spectrum method based on all-phase spectrum analysis [J]. Journal of Electronics & Information Technology, 2008,30(2):293-297. (in Chinese)[12] 王兆华, 黄翔东,杨尉. 全相位FFT相位测量法[J]. 世界科技研究与发展, 2007,29(4):28-32. WANG ZH H, HUANG X D, YANG W. The measuring phase method of all-phase FFT [J]. WORD SCI-TECH R&D, 2007,29(4):28-32. (in Chinese)[13] CHEN Z Y, YUAN H M, CHEN W H. The research on phase-shift method of reactive power. Proceedings of the Industrial Electronics and Applications (ICIEA), 2010 the 5th IEEE Conference, 2010:1911-1915.[14] MILIC L, CERTIC J, LUTPVAC M. A class of FRM-based all-pass digital filters with applications in half-band filters and Hilbert transformers. Proceedings of the Green Circuits and Systems (ICGCS), 2010 International Conference, 2010:273-278.[15] KIM K J, KIM J H, JUNG T H, et al.. Closed-form design of sharp FIR half-band filters, Hilbert transformer, and differentiator. Proceedings of the New Circuits and Systems Conference (NEWCAS), 2011 IEEE 9th International, 2011:181-184.[16] 付有余. 激光测距与跟踪系统低噪声电子设计方法 [J]. 光学精密工程, 2000,8(3):250-253. FU Y Y. Low noise electronic design method for laser range finding and tracking system [J]. Opt. Precision Eng., 2000,8(3):250-253. (in Chinese)

浏览量

580

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

莫尔条纹光电信号正交性偏差的实时补偿

无零级衍射分量的高带宽离轴数字全息