CN109541621B - A vibration compensation method for frequency scanning interferometric absolute ranging system - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及频率扫描干涉绝对测距领域,特别涉及一种频率扫描干涉绝对测距系统的振动补偿方法。The invention relates to the field of frequency scanning interferometric absolute ranging, in particular to a vibration compensation method of a frequency scanning interferometric absolute ranging system.
背景技术Background technique
绝对距离测量系统可用于距离测量高达几十米,相对不确定度小于3ppm,这在测量领域具有重大意义。绝对距离测量系统可以提高大型装配件在飞机制造,汽车工程和现代风车叶片生产等领域的制造效率和精度。目前的绝对距离测量系统通常基于三种不同的光学方法:飞行时间法,合成波长法,频率扫描干涉测量法。频率扫描干涉绝对测距技术是一种无需靶标或标记点、能够快速测量漫反射体表面信息并且测量精度很高的测距方式,因此得到了人们的广泛关注。The absolute distance measurement system can be used for distance measurement up to tens of meters with relative uncertainty less than 3ppm, which is of great significance in the field of measurement. Absolute distance measurement systems can improve the manufacturing efficiency and precision of large assemblies in areas such as aircraft construction, automotive engineering and modern windmill blade production. Current absolute distance measurement systems are generally based on three different optical methods: time-of-flight method, synthetic wavelength method, and frequency-sweeping interferometry. Frequency scanning interferometric absolute ranging technology is a ranging method that can quickly measure the surface information of diffuse reflectors without targets or markers, and has high measurement accuracy, so it has received extensive attention.
但在实际测量中,随着振动引起的多普勒效应的存在,距离谱会变宽,这将导致测量误差比光程差的实际变化大1000倍以上。为了解决这种振动的影响,Swinkels等采用一个三角波频率扫描的激光器,通过四个连续的相位测量解算消除振动影响的距离值;Jia等将频率扫描干涉绝对测距技术与时变卡尔曼滤波器相结合来跟踪目标的瞬时运动,对于运动速度为1mm/s的目标,测量标准差仅为2.5μm。But in actual measurement, with the existence of Doppler effect caused by vibration, the distance spectrum will be broadened, which will cause the measurement error to be more than 1000 times larger than the actual change of optical path difference. In order to solve the influence of this vibration, Swinkels et al. used a triangular wave frequency scanning laser, and calculated the distance value to eliminate the influence of vibration through four continuous phase measurements; Jia et al. The sensor is combined to track the instantaneous movement of the target, and the standard deviation of the measurement is only 2.5μm for the target moving at a speed of 1mm/s.
发明内容SUMMARY OF THE INVENTION
针对现有待测目标在实际应用场合、很难保证测量处于完全静止条件下,传统的频率扫描干涉绝对测距系统测量误差很大的情况,本发明提出一种频率扫描干涉绝对测距系统的振动补偿方法,利用单频激光器加两个声光调制器、可调谐激光器分别产生包含振动信息的测量拍频信号,通过对这两个拍频信号进行处理以消除振动对频率扫描干涉绝对测距系统的影响,而辅助拍频信号用来消除可调谐激光器调频非线性对测量拍频信号产生的影响。本发明无需两个可调谐激光器,而是将双可调谐激光器系统中的一个可调谐激光器换成了单频激光器,降低了硬件成本和装置复杂度,同时不采用实时测量出振动位移进行补偿的方式,而是通过两个同步的测量拍频信号直接获取抵消振动位移的距离值,简化了算法,使得频率扫描干涉绝对测距系统的应用范围更广。Aiming at the situation that the existing target to be measured is difficult to ensure that the measurement is in a completely static condition in practical application occasions, and the measurement error of the traditional frequency scanning interferometric absolute ranging system is large, the present invention proposes a frequency scanning interferometric absolute ranging system. The vibration compensation method uses a single-frequency laser plus two acousto-optic modulators and a tunable laser to generate a measurement beat frequency signal containing vibration information, and processes the two beat frequency signals to eliminate vibration and frequency scanning interference absolute ranging The influence of the system, and the auxiliary beat signal is used to eliminate the influence of the tunable laser frequency modulation nonlinearity on the measurement beat signal. The invention does not need two tunable lasers, but replaces one tunable laser in the double tunable laser system with a single-frequency laser, which reduces hardware cost and device complexity, and does not use real-time measurement of vibration displacement for compensation. Instead, the distance value that offsets the vibration displacement is directly obtained through two synchronous measurement beat signals, which simplifies the algorithm and makes the frequency scanning interferometric absolute ranging system more widely used.
本发明所采用的技术方案是:一种频率扫描干涉绝对测距系统的振动补偿方法,利用单频激光器、可调谐激光器、两个声光调制器、若干耦合器、光环形器、准直透镜、压电位移台、目标镜、粗波分复用器得到两个含有多普勒频移信息的测量拍频信号,两个所述测量拍频信号包含了待测目标镜的振动信息;利用可调谐激光器、延时光纤得到辅助拍频信号;采用所述辅助拍频信号消除可调谐激光器调频非线性对两个所述测量拍频信号产生的影响后,对两个所述测量拍频信号进行处理,消除振动对频率扫描干涉绝对测距系统的影响,计算得出消除振动影响的距离值。The technical scheme adopted in the present invention is: a vibration compensation method for a frequency scanning interference absolute ranging system, which utilizes a single-frequency laser, a tunable laser, two acousto-optic modulators, several couplers, an optical circulator, and a collimating lens. , the piezoelectric displacement stage, the target mirror, and the coarse wavelength division multiplexer obtain two measurement beat signals containing Doppler frequency shift information, and the two measurement beat signals contain the vibration information of the target mirror to be measured; A tunable laser and a time-delay fiber obtain an auxiliary beat frequency signal; after using the auxiliary beat frequency signal to eliminate the influence of the tunable laser frequency modulation nonlinearity on the two measured beat frequency signals, the two measured beat frequency signals are Perform processing to eliminate the influence of vibration on the frequency scanning interference absolute ranging system, and calculate the distance value that eliminates the influence of vibration.
进一步的,本发明一种频率扫描干涉绝对测距系统的振动补偿方法,具体包括以下步骤:Further, a vibration compensation method of a frequency scanning interference absolute ranging system of the present invention specifically includes the following steps:
测距信号的产生:Generation of ranging signals:
1-1步骤、单频激光器产生单频信号,可调谐激光器产生频率扫描信号;所述单频信号经过第一分束器分为A路和B路,所述频率扫描信号经过第二分束器分为C路和D路,A路、B路、C路进入测量干涉系统,D路进入辅助干涉系统;Step 1-1. A single-frequency laser generates a single-frequency signal, and a tunable laser generates a frequency scanning signal; the single-frequency signal is divided into a path A and a path B through the first beam splitter, and the frequency scanning signal passes through the second beam splitter. The device is divided into C-channel and D-channel, A-channel, B-channel, C-channel enter the measurement interference system, D-channel enters the auxiliary interference system;
1-2步骤、测量干涉系统中:A路信号经过第二声光调制器达到第一耦合器,C路信号经过第三分束器分为E路和F路,E路信号与A路信号在第一耦合器耦合并送入光环形器;所述光环形器采用带有第一、第二、第三端口,用来将光循环地从第一端口传输到第二端口,从第二端口传输到第三端口的3端口光环形器,所述光环形器的第一端口与所述第一耦合器的输出相连接,第二端口与准直透镜相连接,第三端口连接至第三耦合器的一个输入端;B路信号经过第一声光调制器达到第二耦合器,F路信号与B路信号在第二耦合器耦合并送入第三耦合器的另一个输入端;所述A路与E路激光经过第一耦合器、光环形器、准直透镜,经目标镜反射后,原路返回进入所述光环形器,再进入所述第三耦合器的一个输入端,其中A路激光与B路激光在第三耦合器汇合并发生干涉,E路激光与F路激光在第三耦合器汇合并发生干涉,由于来自单频激光器的A路激光、B路激光与来自可调谐激光器的E路激光、F路激光为两个频率段的激光信号,采用粗波分复用器将两个频率段的激光信号分开,A路激光与B路激光在第一光电探测器上形成第一测量拍频信号,E路激光与F路激光在第二光电探测器上形成第二测量拍频信号;Step 1-2, in the measurement interference system: the A-channel signal reaches the first coupler through the second acousto-optic modulator, the C-channel signal is divided into the E-channel and the F-channel through the third beam splitter, and the E-channel signal and the A-channel signal are separated. Coupled at the first coupler and sent into an optical circulator; the optical circulator adopts a first, second, and third port for cyclically transmitting light from the first port to the second port, and from the second port. A 3-port optical circulator whose port is transmitted to a third port, the first port of the optical circulator is connected to the output of the first coupler, the second port is connected to the collimating lens, and the third port is connected to the first coupler. One input end of the three couplers; the B-channel signal reaches the second coupler through the first acousto-optic modulator, and the F-channel signal and the B-channel signal are coupled in the second coupler and sent to the other input end of the third coupler; The A- and E-channel lasers pass through the first coupler, optical circulator, and collimating lens, and after being reflected by the target mirror, return to the optical circulator in the same way, and then enter an input end of the third coupler , in which the A-channel laser and B-channel laser converge at the third coupler and interfere, and the E-channel laser and the F-channel laser meet and interfere at the third coupler, because the A-channel laser and B-channel laser from the single-frequency laser The E-channel laser and the F-channel laser from the tunable laser are laser signals of two frequency bands. The laser signal of the two frequency bands is separated by a coarse wavelength division multiplexer. The A-channel laser and the B-channel laser are detected in the first photoelectric detection. A first measurement beat signal is formed on the detector, and a second measurement beat signal is formed on the second photodetector by the E-channel laser and the F-channel laser;
1-3步骤、辅助干涉系统中:D路信号经过第四分束器分为G路和H路,G路激光经过长度恒定且已知光程差的延时光纤后进入第四耦合器,G路激光与H路激光在第四耦合器汇合并发生干涉,第四耦合器的输出端连接至第三光电探测器,G路激光与H路激光在第三光电探测器上形成辅助拍频信号;Steps 1-3, in the auxiliary interference system: the signal of channel D is divided into channel G and channel H through the fourth beam splitter, and the laser beam of channel G enters the fourth coupler after passing through the delay fiber with constant length and known optical path difference, The G-channel laser and the H-channel laser converge at the fourth coupler and interfere, and the output end of the fourth coupler is connected to the third photodetector, and the G-channel laser and the H-channel laser form an auxiliary beat frequency on the third photodetector Signal;
其中,A路和B路形成了一路测量干涉光路、E路和F路形成了另一路测量干涉光路,G路和H路形成了参考干涉光路;Among them, A path and B path form one measurement interference optical path, E path and F path form another measurement interference optical path, G path and H path form a reference interference optical path;
同步数据采集:Synchronized data collection:
同步数据采集系统对测量干涉系统产生的第一测量拍频信号和第二测量拍频信号以及辅助干涉系统产生的辅助拍频信号进行同步采样,步骤如下:The synchronous data acquisition system performs synchronous sampling on the first measurement beat frequency signal and the second measurement beat frequency signal generated by the measurement interference system and the auxiliary beat frequency signal generated by the auxiliary interference system, and the steps are as follows:
2-1、同步数据采集系统的初始化,设置采样时间ts、采样频率fs;2-1. Synchronize the initialization of the data acquisition system, set the sampling time t s and the sampling frequency f s ;
2-2、数据采集,采集过程中对同步数据采集系统采集到第一测量拍频信号、第二测量拍频信号和辅助拍频信号进行错误检测判断,如果没有错误则进行下一步骤,否则重新执行2-2步骤;2-2. Data acquisition. During the acquisition process, perform error detection and judgment on the first measurement beat signal, the second measurement beat signal and the auxiliary beat signal collected by the synchronous data acquisition system. If there is no error, proceed to the next step, otherwise Repeat steps 2-2;
数据处理:data processing:
目前使用的可调谐激光器输出的光频率并非完全线性调制,当输出的光频率并非完全线性调制时,测量拍频信号会发生严重的展宽现象,从而导致极大的测量误差,因此,采用辅助干涉系统消除测量干涉系统的调频非线性的影响,具体包括以下步骤:The optical frequency output by the currently used tunable laser is not completely linearly modulated. When the output optical frequency is not completely linearly modulated, the measurement beat frequency signal will be severely broadened, resulting in a great measurement error. Therefore, auxiliary interference is used. The system eliminates the influence of frequency modulation nonlinearity of the measurement interferometric system, which specifically includes the following steps:
3-1步骤、将经过同步数据采集系统的辅助拍频信号作为时钟信号,对第一测量拍频信号和第二测量拍频信号同时进行等光频重采样;Step 3-1: Use the auxiliary beat frequency signal passing through the synchronous data acquisition system as a clock signal, and perform equal optical frequency resampling on the first measurement beat frequency signal and the second measurement beat frequency signal at the same time;
3-2步骤、对于运动物体,A路激光和B路激光将产生干涉,由于第一测量拍频信号和第二测量拍频信号均含有物体的运动信息,故将等光频重采样过后的第一测量拍频信号和第二测量拍频信号相乘得到新信号,新信号包含两个余弦项,其中一个频率中包含多普勒频移的余弦项为干扰项,另一个频率中不包含多普勒频移的余弦项为所需项;利用快速傅里叶变换或chirp-z变换求得所需项的频率,根据所需项的频率求得待测真实距离值。Step 3-2. For a moving object, the A-channel laser and the B-channel laser will interfere. Since both the first measurement beat signal and the second measurement beat signal contain the motion information of the object, the equal-frequency resampled The first measurement beat signal and the second measurement beat signal are multiplied to obtain a new signal, the new signal contains two cosine terms, one of which contains the Doppler frequency shift cosine term is an interference term, and the other frequency does not contain The cosine term of the Doppler frequency shift is the desired term; the frequency of the desired term is obtained by using fast Fourier transform or chirp-z transform, and the true distance value to be measured is obtained according to the frequency of the desired term.
其中,3-1步骤具体包括:Among them, step 3-1 specifically includes:
所述第一测量拍频信号表示为:The first measurement beat signal is expressed as:
P1(t)=Acos{2π[(106-fd)t+fdτ+f0τ+80×106τ]} (1)P 1 (t)=Acos{2π[(10 6 -f d )t+f d τ+f 0 τ+80×10 6 τ]} (1)
式(1)中,P1(t)为第一测量拍频信号,A表示第一测量拍频信号的振幅,fd表示由于物体运动导致测量拍频信号中引入的多普勒频移,f0表示单频激光器的频率,τ表示待测距离对应的时间延迟,t表示时间;In formula (1), P 1 (t) is the first measurement beat signal, A represents the amplitude of the first measurement beat signal, f d represents the Doppler frequency shift introduced in the measurement beat signal due to object motion, f 0 represents the frequency of the single-frequency laser, τ represents the time delay corresponding to the distance to be measured, and t represents the time;
所述第二测量拍频信号表示为:The second measurement beat signal is expressed as:
式(2)中,P2(t)为第二测量拍频信号,B表示第二测量拍频信号的振幅,α1表示可调谐激光器的调制速度,f1表示可调谐激光器发射激光的初始频率,ε1(t)表示偏离理想线性扫频的频率非线性误差;In formula (2), P 2 (t) is the second measurement beat signal, B represents the amplitude of the second measurement beat signal, α 1 represents the modulation speed of the tunable laser, and f 1 represents the initial laser emission of the tunable laser. frequency, ε 1 (t) represents the frequency nonlinearity error deviating from the ideal linear sweep;
辅助拍频信号的表达式为:The expression of the auxiliary beat signal is:
式(3)中,P3(t)为辅助拍频信号,M表示辅助拍频信号的振幅,τr表示参考干涉光路的光程差对应的时间延迟。In formula (3), P 3 (t) is the auxiliary beat signal, M represents the amplitude of the auxiliary beat signal, and τ r represents the time delay corresponding to the optical path difference of the reference interference optical path.
取辅助拍频信号的峰谷值位置点对第一测量拍频信号和第二测量拍频信号进行重采样,其结果为:The first measurement beat signal and the second measurement beat signal are resampled by taking the peak and valley position points of the auxiliary beat signal, and the result is:
式(4)中,P1(k)为重采样后的第一测量拍频信号;式(5)中,P2(k)为重采样后的第二测量拍频信号。In formula (4), P 1 (k) is the resampled first measurement beat signal; in formula (5), P 2 (k) is the resampled second measurement beat signal.
其中,3-2步骤具体包括:Among them, the 3-2 steps specifically include:
将等光频重采样过后的第一测量拍频信号和第二测量拍频信号相乘得到新信号:Multiply the first measurement beat signal and the second measurement beat signal after equal optical frequency resampling to obtain a new signal:
式(6)中,P4(k)为等光频重采样过后的第一测量拍频信号和第二测量拍频信号相乘得到新信号;由式(6)可知,第一个余弦项的频率项里包含了多普勒频移fd,为干扰项;第二个余弦项的频率项里没有了多普勒频移fd,为所需项;In formula (6), P 4 (k) is the new signal obtained by multiplying the first measurement beat signal and the second measurement beat signal after equal optical frequency resampling; it can be known from formula (6) that the first cosine term is the frequency term of contains the Doppler frequency shift f d , which is the interference term; the frequency term of the second cosine term There is no Doppler shift f d in , which is the required term;
设重采样后的第一测量拍频信号和第二测量拍频信号的点数为N,对新信号进行chirp-z变换求得所需项频率,所需项频率的频谱峰值位置为p,则峰值点频率fbeat计算公式为:Let the number of points of the resampled first measurement beat signal and the second measurement beat signal be N, perform chirp-z transformation on the new signal to obtain the frequency of the desired item, and the spectral peak position of the frequency of the desired item is p, then The formula for calculating the peak frequency f beat is:
由式(6)第二个余弦项的频率项得到:By the frequency term of the second cosine term of equation (6) get:
结合式(7)和式(8),可得:Combining formula (7) and formula (8), we can get:
待测距离的计算公式为:The formula for calculating the distance to be measured is:
式(10)中,R为待测真实距离值,c为光速。In formula (10), R is the real distance value to be measured, and c is the speed of light.
本发明的有益效果是:The beneficial effects of the present invention are:
在原有频率扫描干涉绝对测距系统的基础上增加了一个单频激光器和两个声光调制器,其目的是产生带有目标镜振动信息的拍频信号,而可调谐激光器发出的光经过测量干涉系统后也能产生含有目标镜振动信息的拍频信号,对这两个拍频信号进行处理,便可获取消除振动影响的距离值,此方法相对于双可调谐激光器方法来说,降低了硬件成本和装置复杂度,且不需要保证两个可调谐激光器的扫频速度一致(往往这个要求很难达到,因为目前市面上的可调谐激光器输出的光都不是完全线性调制的),与此同时,对于实际应用环境,本系统的集成也比较方便,可调谐激光器往往体积较大,而单频激光器则体积小、重量轻,本发明所设计的系统实用性更强。On the basis of the original frequency scanning interferometric absolute ranging system, a single frequency laser and two acousto-optic modulators are added. The purpose is to generate a beat frequency signal with the vibration information of the target mirror, and the light emitted by the tunable laser is measured. After the interference system, a beat frequency signal containing the vibration information of the target mirror can also be generated. By processing these two beat frequency signals, the distance value that eliminates the influence of vibration can be obtained. Compared with the dual tunable laser method, this method reduces the Hardware cost and device complexity, and there is no need to ensure the same frequency sweep speed of the two tunable lasers (often this requirement is difficult to achieve, because the light output by the current tunable lasers on the market is not completely linearly modulated), and this At the same time, for the practical application environment, the integration of the system is also relatively convenient, tunable lasers tend to be larger in size, while single-frequency lasers are small in size and light in weight, and the system designed by the present invention is more practical.
附图说明Description of drawings
图1为本发明一种频率扫描干涉绝对测距系统的振动补偿方法的流程图;Fig. 1 is the flow chart of the vibration compensation method of a kind of frequency scanning interference absolute ranging system of the present invention;
图2为本发明所用的频率扫描干涉绝对测距系统装置的结构示意图。FIG. 2 is a schematic structural diagram of a frequency scanning interferometric absolute ranging system device used in the present invention.
附图标注:1、单频激光器;2、第一分束器;3、第二声光调制器;4、第三分束器;5、第一声光调制器;6、第一耦合器;7、第二耦合器;8、光环形器;9、第三耦合器;10、准直透镜;11、粗波分复用器;12、压电位移台和目标镜;13、第一光电探测器;14、第二光电探测器;15、测量干涉系统;16、辅助干涉系统;17、第三光电探测器;18、第四耦合器;19、延时光纤;20、第四分束器;21、第二分束器;22、可调谐激光器;23、同步数据采集系统;24、数据处理系统;1. Single frequency laser; 2. The first beam splitter; 3. The second acousto-optic modulator; 4. The third beam splitter; 5. The first acousto-optic modulator; 6. The first coupler ; 7, the second coupler; 8, the optical circulator; 9, the third coupler; 10, the collimating lens; 11, the coarse wavelength division multiplexer; 12, the piezoelectric stage and the objective lens; 13, the first photodetector; 14, second photodetector; 15, measurement interference system; 16, auxiliary interference system; 17, third photodetector; 18, fourth coupler; 19, delay fiber; 20, fourth point beam splitter; 21, second beam splitter; 22, tunable laser; 23, synchronous data acquisition system; 24, data processing system;
P1、第一测量拍频信号;P2、第二测量拍频信号;P3、辅助拍频信号;P4、重采样后的第一测量拍频信号和第二测量拍频信号相乘所得的新信号。P1, the first measurement beat signal; P2, the second measurement beat signal; P3, the auxiliary beat signal; P4, the new signal obtained by multiplying the resampled first measurement beat signal and the second measurement beat signal .
具体实施方式Detailed ways
为能进一步了解本发明的发明内容、特点及功效,兹例举以下实施例,并配合附图详细说明如下:In order to further understand the content of the invention, features and effects of the present invention, the following embodiments are exemplified and described in detail with the accompanying drawings as follows:
本发明提出了一种使用单频激光器、声光调制器加上原有的频率扫描干涉绝对测距系统的振动补偿方法,并通过理论推导验证了其可行性。The invention proposes a vibration compensation method using a single-frequency laser, an acousto-optic modulator and the original frequency scanning interference absolute ranging system, and its feasibility is verified through theoretical derivation.
本发明所用的频率扫描干涉绝对测距系统装置如附图2所示,包括单频激光器1和可调谐激光器22,所述单频激光器1经过第一分束器2分为A路和B路,所述可调谐激光器22经过第二分束器21分为C路和D路,A路、B路、C路进入测量干涉系统15,D路进入辅助干涉系统16。The frequency scanning interference absolute ranging system device used in the present invention is shown in FIG. 2 , including a single-
所述测量干涉系统15中:A路信号进过第二声光调制器3达到第一耦合器6,C路信号经过第三分束器4分为E路和F路,E路信号与A路信号在第一耦合器6耦合并送入光环形器8;所述光环形器8采用带有第一、第二、第三端口,用来将光循环地从第一端口传输到第二端口,从第二端口传输到第三端口的3端口光环形器,所述光环形器8的第一端口与所述第一耦合器6的输出相连接,第二端口与准直透镜10相连接,第三端口连接至第三耦合器9的一个输入端;B路信号经过第一声光调制器5达到第二耦合器7,F路信号与B路信号在第二耦合器7耦合并送入第三耦合器9的另一个输入端;所述A路与E路激光经过第一耦合器6、光环形器8、准直透镜10,经目标镜反射后,原路返回进入所述光环形器8,再进入所述第三耦合器9的一个输入端,其中A路激光与B路激光在第三耦合器9汇合并发生干涉,E路激光与F路激光在第三耦合器9汇合并发生干涉,由于来自单频激光器1的A路激光、B路激光与来自可调谐激光器22的E路激光、F路激光为两个频率段的激光信号(即,A路激光、B路激光处于同一个频率段,E路激光、F路激光处于同一个频率段,而这两个频率段并不相交),故将第三耦合器9的输出端接一个粗波分复用器11,粗波分复用器11用以分开两个频率段的激光信号,A路激光与B路激光在第一光电探测器13上形成第一测量拍频信号P1,E路激光与F路激光在第二光电探测器14上形成第二测量拍频信号P2。In the measurement interferometry system 15: the A-channel signal enters the second acousto-optic modulator 3 to reach the
所述辅助干涉系统16中:D路信号经过第四分束器20分为G路和H路,G路激光经过长度恒定且已知光程差的延时光纤19后进入第四耦合器18,G路激光与H路激光在第四耦合器18汇合并发生干涉,第四耦合器18的输出端连接至第三光电探测器17,G路激光与H路激光在第三光电探测器17上形成辅助拍频信号P3。In the auxiliary interference system 16: the D-channel signal is divided into G-channel and H-channel through the
所述第一光电探测器13、第二光电探测器14、第三光电探测器17的输出分别接至同步数据采集系统23的三个通道,同步数据采集系统23的输出接至数据处理系统24。The outputs of the first photodetector 13 , the second photodetector 14 and the
本发明一种频率扫描干涉绝对测距系统的振动补偿方法,利用单频激光器1、可调谐激光器22、第一声光调制器5和第二声光调制器3、若干耦合器、光环形器8、准直透镜10、压电位移台和目标镜12、粗波分复用器11等得到含有多普勒频移信息的第一测量拍频信号P1和第二测量拍频信号P2,所述第一测量拍频信号P1和第二测量拍频信号P2包含了待测目标镜的振动信息;利用可调谐激光器22、延时光纤19等得到辅助拍频信号P3;采用所述辅助拍频信号P3消除可调谐激光器22调频非线性对所述第一测量拍频信号P1和第二测量拍频信号P2产生的影响后,对所述第一测量拍频信号P1和第二测量拍频信号P2进行处理,消除振动对频率扫描干涉绝对测距系统的影响,计算得出消除振动影响的距离值。其具体实现的步骤如下:A vibration compensation method of a frequency scanning interference absolute ranging system of the present invention utilizes a
按照图2所示搭建实验装置,然后如图1所示,频率扫描干涉绝对测距系统装置中先打开可调谐激光器22和单频激光器1,然后设置可调谐激光器22的参数(扫描带宽及扫描速度)、压电位移台的参数(振动频率和振动幅度)、同步数据采集系统23的参数(采样频率及采样时间)。Build the experimental device as shown in Figure 2, and then as shown in Figure 1, the
设备预热及初始化以后,开始进行频率扫描干涉绝对测距,具体步骤如下:After the equipment is warmed up and initialized, the frequency scanning interference absolute ranging begins. The specific steps are as follows:
测距信号的产生Generation of ranging signals
1-1步骤、单频激光器1产生频率单一的单频信号,可调谐激光器22产生频率扫描信号;所述单频信号经过第一分束器2分为A路和B路,所述频率扫描信号经过第二分束器21分为C路和D路,A路、B路、C路进入测量干涉系统15,D路进入辅助干涉系统16;Step 1-1, the single-
1-2步骤、测量干涉系统15中:A路信号进过第二声光调制器3达到第一耦合器6,C路信号经过第三分束器4分为E路和F路,E路信号与A路信号在第一耦合器6耦合并送入光环形器8;所述光环形器8采用带有第一、第二、第三端口,用来将光循环地从第一端口传输到第二端口,从第二端口传输到第三端口的3端口光环形器,所述光环形器8的第一端口与所述第一耦合器6的输出相连接,第二端口与准直透镜10相连接,第三端口连接至第三耦合器9的一个输入端;B路信号经过第一声光调制器5达到第二耦合器7,F路信号与B路信号在第二耦合器7耦合并送入第三耦合器9的另一个输入端;所述A路与E路激光经过第一耦合器6、光环形器8、准直透镜10,经目标镜12反射后,原路返回进入所述光环形器10,再进入所述第三耦合器9的一个输入端,其中A路激光与B路激光在第三耦合器9汇合并发生干涉,E路激光与F路激光在第三耦合器9汇合并发生干涉,由于来自单频激光器1的A路激光、B路激光与来自可调谐激光器22的E路激光、F路激光为两个频率段的激光信号(即,A路激光、B路激光处于同一个频率段,E路激光、F路激光处于同一个频率段,而这两个频率段并不相交),故将第三耦合器9的输出端接一个粗波分复用器11,粗波分复用器11用以分开两个频率段的激光信号,A路激光与B路激光在第一光电探测器13上形成第一测量拍频信号P1,E路激光与F路激光在第二光电探测器14上形成第二测量拍频信号P2;Steps 1-2, in the measurement interference system 15: the A-way signal enters the second acousto-optic modulator 3 to reach the first coupler 6, the C-way signal passes through the third beam splitter 4 and is divided into E-way and F-way, E-way The signal and the A-channel signal are coupled at the first coupler 6 and sent to the optical circulator 8; the optical circulator 8 adopts a first, second, and third port to transmit light cyclically from the first port To the second port, from the second port to the 3-port optical circulator of the third port, the first port of the optical circulator 8 is connected to the output of the first coupler 6, and the second port is connected to the collimator The lens 10 is connected, and the third port is connected to an input end of the third coupler 9; the B-channel signal reaches the second coupler 7 through the first acousto-optic modulator 5, and the F-channel signal and the B-channel signal are in the second coupler. 7 is coupled and sent to the other input end of the third coupler 9; the lasers of the A and E paths pass through the first coupler 6, the optical circulator 8, the collimating lens 10, and are reflected by the objective mirror 12, and the original path is Return to the optical circulator 10, and then enter an input end of the third coupler 9, where the A-channel laser and the B-channel laser converge at the third coupler 9 and interfere, and the E-channel laser and the F-channel laser are in the third coupler 9. The
1-3步骤、辅助干涉系统16中:D路信号经过第四分束器20分为G路和H路,G路激光经过长度恒定且已知光程差的延时光纤19后进入第四耦合器18,G路激光与H路激光在第四耦合器18汇合并发生干涉,第四耦合器18的输出端连接至第三光电探测器17,G路激光与H路激光在第三光电探测器17上形成辅助拍频信号P3;Steps 1-3, in the auxiliary interference system 16: the D channel signal is divided into the G channel and the H channel through the
其中,A路和B路形成了一路测量干涉光路、E路和F路形成了另一路测量干涉光路,G路和H路形成了参考干涉光路。Among them, the A path and the B path form one measurement interference optical path, the E path and the F path form another measurement interference optical path, and the G path and the H path form the reference interference optical path.
同步数据采集Synchronized data collection
同步数据采集系统23对测量干涉系统15产生的第一测量拍频信号P1和第二测量拍频信号P2以及辅助干涉系统16产生的辅助拍频信号P3进行同步采样,步骤如下:The synchronous
2-1、同步数据采集系统23的初始化,设置采样时间ts、采样频率fs;2-1. Synchronize the initialization of the
2-2、数据采集,采集过程中对同步数据采集系统23采集到第一测量拍频信号P1、第二测量拍频信号P2和辅助拍频信号P3进行错误检测判断,如果没有错误则进行下一步骤,否则重新执行2-2步骤。2-2. Data collection. During the collection process, the first measurement beat signal P1, the second measurement beat signal P2 and the auxiliary beat signal P3 collected by the synchronous
数据处理data processing
目前使用的可调谐激光器22输出的光频率并不能完全线性调制,当输出的光频率并非完全线性调制时,测量拍频信号会发生严重的展宽现象,从而导致极大的测量误差,为此在这里需要辅助干涉系统16来消除测量干涉系统15的调频非线性的影响,具体包括以下步骤:The optical frequency output by the currently used
3-1步骤、将经过同步数据采集系统23的辅助拍频信号P3作为时钟信号,对第一测量拍频信号P1和第二测量拍频信号P2同时进行等光频重采样;Step 3-1, using the auxiliary beat signal P3 passing through the synchronous
3-2步骤、对于运动物体,A路激光和B路激光将产生干涉,由于第一测量拍频信号P1和第二测量拍频信号P2均含有物体的运动信息,故将等光频重采样过后的第一测量拍频信号P1和第二测量拍频信号P2相乘得到新信号P4,新信号P4包含两个余弦项,其中一个包含多普勒频移的余弦项为干扰项,另一个不包含多普勒频移的余弦项为所需项;利用快速傅里叶变换或chirp-z变换精确求得所需项的频率,根据所需项的频率求得待测真实距离值。Step 3-2. For a moving object, the A-channel laser and the B-channel laser will interfere. Since the first measurement beat signal P1 and the second measurement beat signal P2 both contain the motion information of the object, the equal optical frequency will be resampled. After the first measurement beat signal P1 and the second measurement beat signal P2 are multiplied to obtain a new signal P4, the new signal P4 contains two cosine terms, one of which contains the cosine term of the Doppler frequency shift as an interference term, and the other is an interference term. The cosine term that does not include the Doppler frequency shift is the required term; the frequency of the required term is accurately obtained by using fast Fourier transform or chirp-z transform, and the true distance value to be measured is obtained according to the frequency of the required term.
下面结合具体公式对本发明一种频率扫描干涉绝对测距系统的振动补偿方法作进一步说明:The vibration compensation method of a frequency scanning interference absolute ranging system of the present invention is further described below in conjunction with specific formulas:
设置第一声光调制器5频率为81MHz,第二声光调制器3频率为80MHz,则对于运动目标来说,第一光电探测器13探测到的第一测量拍频信号P1可以表示为:Set the frequency of the first acousto-
P1(t)=Acos{2π[(106-fd)t+fdτ+f0τ+80×106τ]} (1)P 1 (t)=Acos{2π[(10 6 -f d )t+f d τ+f 0 τ+80×10 6 τ]} (1)
式(1)中,P1(t)为第一测量拍频信号P1,A表示第一测量拍频信号P1的振幅,fd表示由于物体运动导致测量拍频信号中引入的多普勒频移,f0表示单频激光器1的频率,τ表示待测距离对应的时间延迟,t表示时间。In formula (1), P 1 (t) is the first measurement beat signal P1, A represents the amplitude of the first measurement beat signal P1, and f d represents the Doppler frequency introduced into the measurement beat signal due to object motion. shift, f 0 represents the frequency of the single-
第二光电探测器14探测到的第二测量拍频信号P2可以表示为:The second measurement beat signal P2 detected by the second photodetector 14 can be expressed as:
式(2)中,P2(t)为第二测量拍频信号P2,B表示第二测量拍频信号P2的振幅,α1表示可调谐激光器22的调制速度,f1表示可调谐激光器22发射激光的初始频率,ε1(t)表示偏离理想线性扫频的频率非线性误差。In formula (2), P 2 (t) is the second measurement beat signal P2, B represents the amplitude of the second measurement beat signal P2, α 1 represents the modulation speed of the
为了消除调频非线性的影响,在此使用辅助干涉系统16的辅助拍频信号P3对第一测量拍频信号P1和第二测量拍频信号P2进行重采样(第一测量拍频信号P1虽然并没有非线性项,但为了能够对第一测量拍频信号P1和第二测量拍频信号P2进行同步处理,所以在此也对第一测量拍频信号P1进行重采样),辅助拍频信号P3的表达式为:In order to eliminate the influence of frequency modulation nonlinearity, the auxiliary beat signal P3 of the
式(3)中,P3(t)为辅助拍频信号P3,M表示辅助拍频信号P3的振幅,τr表示参考干涉光路的光程差对应的时间延迟。In formula (3), P 3 (t) is the auxiliary beat signal P3, M represents the amplitude of the auxiliary beat signal P3, and τ r represents the time delay corresponding to the optical path difference of the reference interference optical path.
取辅助拍频信号P3的峰谷值位置点对第一测量拍频信号P1和第二测量拍频信号P2进行重采样,其结果为:The first measurement beat signal P1 and the second measurement beat signal P2 are resampled by taking the peak and valley position points of the auxiliary beat signal P3, and the result is:
式(4)中,P1(k)为重采样后的第一测量拍频信号P1,式(5)中,P2(k)为重采样后的第二测量拍频信号P2。由式(4)可以看出第一测量拍频信号P1中的非线性项已经消除,将重采样后的第一测量拍频信号P1与第二测量拍频信号P2相乘可得:In formula (4), P 1 (k) is the resampled first measurement beat signal P1, and in formula (5), P 2 (k) is the resampled second measurement beat signal P2. It can be seen from equation (4) that the nonlinear term in the first measurement beat signal P1 has been eliminated, and the resampled first measurement beat signal P1 and the second measurement beat signal P2 are multiplied to obtain:
式(6)中,P4(k)为新信号P4,由式(6)可知,第一个余弦项的频率项里包含了多普勒频移fd,为干扰项;第二个余弦项的频率项里没有了多普勒频移fd,为频率单一的项,即为所需项,且相对于式(2)第二个余弦项大大减少了相位调制。干扰项与所需项的频率相差2MHz左右,故两者分布在频率域的不同区域(频率差由第一声光调制器5和第二声光调制器3的频率差决定,可根据实际需要选择),因此能够很容易的区分出所需项。In Equation (6), P 4 (k) is the new signal P4. From Equation (6), it can be known that the frequency term of the first cosine term is contains the Doppler frequency shift f d , which is the interference term; the frequency term of the second cosine term There is no Doppler frequency shift f d in it, it is a single frequency term, that is, the required term, and compared with the second cosine term of equation (2), the phase modulation is greatly reduced. The frequency difference between the interference item and the desired item is about 2MHz, so the two are distributed in different regions of the frequency domain (the frequency difference is determined by the frequency difference between the first acousto-
设重采样后的第一测量拍频信号P1和第二测量拍频信号P2的点数为N,对新信号P4进行chirp-z(或快速傅里叶变换或其他可获得精确频率的算法)变换求得所需项频率,所需项频率的频谱峰值位置为p,则峰值点频率fbeat计算公式为:Set the number of points of the resampled first measurement beat signal P1 and the second measurement beat signal P2 to N, and perform chirp-z (or fast Fourier transform or other algorithms that can obtain accurate frequencies) on the new signal P4 The frequency of the desired item is obtained by transformation, and the peak position of the spectrum of the desired item frequency is p, then the calculation formula of the frequency of the peak point f beat is:
由式(6)第二个余弦项的频率项得到:By the frequency term of the second cosine term of equation (6) get:
结合式(7)和式(8),可得:Combining formula (7) and formula (8), we can get:
待测距离的计算公式为:The formula for calculating the distance to be measured is:
式(10)中,R为待测真实距离值,c为光速。由式(10)可知,通过本发明的方法,振动对频率扫描干涉绝对测距技术的影响已经消除。In formula (10), R is the real distance value to be measured, and c is the speed of light. It can be seen from the formula (10) that the influence of vibration on the frequency scanning interference absolute ranging technique has been eliminated by the method of the present invention.
尽管上面结合附图对本发明的优选实施例进行了描述,但是本发明并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,并不是限制性的,本领域的普通技术人员在本发明的启示下,在不脱离本发明宗旨和权利要求所保护的范围情况下,还可以做出很多形式,这些均属于本发明的保护范围之内。Although the preferred embodiments of the present invention have been described above with reference to the accompanying drawings, the present invention is not limited to the above-mentioned specific embodiments. Under the inspiration of the present invention, without departing from the spirit of the present invention and the protection scope of the claims, personnel can also make many forms, which all fall within the protection scope of the present invention.
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