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GNSS动态变形测量关键技术研究
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摘要
随着人类社会的进步和经济水平的发展,工程建设规模不断扩大,对大型结构体的高精度动态安全监测成为工程技术人员所关心的一个重要问题。本文围绕如何提高应用全球导航卫星系统(GNSS)进行动态变形测量的精度和连续性这一中心问题,较为系统地研究了整周模糊度的实时解算、系统误差特别是多路径误差的建模与修正、动态测量数据的降噪处理等关键技术问题,设计开发了一套GNSS动态变形测量数据处理软件,通过实测算例验证了本文所涉及理论和算法的有效性。本文的主要工作和贡献概括如下:
     1、归纳了GNSS短基线动态相对定位的函数模型、随机模型和主要误差源,研究了残余对流层延迟对短基线动态测量精度的影响和应对措施,通过实测算例表明,当测站间高差较大时,残余对流层延迟对基线解算结果有较大影响,尤其是在高程方向引起的系统性偏差会达到数厘米。附加残余对流层随机参数,可显著提高基线解算精度。
     2、在详细分析先验坐标误差、残余对流层延迟以及多路径误差对模糊度初始值影响程度的基础上,提出了一种基于先验坐标约束的部分搜索法。该方法适用于单频模糊度的实时解算,兼顾了效率和可靠性,理论分析表明该方法的适用条件是历元间坐标变化量不超过5cm。实测数据的解算结果表明了该方法的有效性。
     3、针对双频接收机,提出了一种适用于大变形量应用的模糊度实时算法。首先选取两个长波组合观测值以缩小模糊度备选空间,然后根据双频观测值之间固有的约束关系求解基本模糊度,理论分析表明该方法可满足历元间坐标变化量达30cm的动态应用。为抵御多路径误差的影响,采取了基于抗差估计的二次迭代搜索方法。针对动态测量多余观测数较少的特点,研究了抗差估计中降权因子的临界值取值问题。
     4、从多路径效应的产生机理入手,分析了多路径误差的影响规律,研究了不同随机模型抑制多路径误差的效果。利用连续多天固定测站上的实测数据,从坐标序列和观测值残差序列中分析了多路径误差的周日重复特性。利用IGS提供的卫星星历,研究了GPS卫星的精确重复周期,结果表明,由卫星星座的重复特性而引起的多路径重复周期是不断变化的,其变化幅度约为10多秒,不同卫星的多路径重复周期也不尽相同,平均值比恒星日约短10s,进而基于仿真数据研究了重复周期偏差对多路径误差的影响。
     5、讨论了经验模态分解(EMD)滤波降噪的一般思路及其不足,分析了集合平均经验模态分解(EEMD)算法的原理及其降噪的依据。通过理论分析以及实测数据验证,提出多路径误差属于含有间歇性分量的复杂信号,能够消除模态混叠影响的EEMD算法更适合于多路径模型的提取。分别用EMD和EEMD两种方法对实测数据的多路径误差序列进行分解降噪,结果表明EEMD滤波降噪提取多路径模型的效果优于EMD方法。
     6、在研究EEMD分解白噪声特性的基础上,提出了基于固有模态函数统计特性的EEMD尺度阈值降噪方法,分别基于仿真数据和沉降监测的实际数据,对EEMD强制降噪、阈值降噪和几种常用小波降噪方法进行比较,结果表明本文提出的EEMD阈值降噪法优于强制降噪法,在消除随机噪声的同时,能够有效保留信号中的高频细节,并且避免了小波降噪中存在的小波基函数选取和分解级数确定等问题,是一种自适应的降噪方法。
     7、将本文提出的EEMD阈值降噪法应用于多路径模型的提取,研究了高采样率动态变形测量中多路径误差的修正问题。研究了基于单差残差的多路径误差建模的原理和适用条件,分别利用两种不同接收机和基线长度的实测数据,证明了其约束条件在短基线条件下是近似成立的。针对固定测站上连续两天的高频实测数据,采用EEMD软阈值降噪法,分别进行坐标域和单差残差域的多路径重复性模型提取与修正,结果表明两种方法均能有效修正多路径误差,提高坐标序列的精度。单差域的恒星滤波分别依据每一颗卫星的多路径误差精确重复周期进行修正,其效果优于坐标域的改正模型。
     8、讨论了依据本文算法研制的GNSS动态变形测量数据处理软件GNSSMS的功能、结构和算法流程,基于某测试平台模拟动态变形,将本软件与GrafNav软件以及惯导加速度计结果进行比对,表明本文的算法以及研发的软件能够用于动态变形测量。基于自行研制的单频GPS接收机、无线通讯网络系统以及GNSSMS软件,构建了某矿区重点目标高精度实时动态变形监测试验系统,结果表明,经系统误差修正和降噪处理后,坐标序列平面方向标准偏差为0.8mm,垂直方向为1.1mm,软件每历元解算响应时间不超过0.1s,证明该试验系统可满足1Hz的高采样率动态高精度应用需求。
With the progress of human society and the development economic level, construction scalehas been continuously enlarged in recent years. So, Structural health monitoring of large scaleengineering construction became one of the important issues concerned by engineers. This thesisis focused on the crucial questions that how to improve the accuracy and the continuity of GlobalNavigation Satellite System (GNSS) in dynamic deformation monitoring. To this end, theinstantaneous ambiguity resolution method, systematic error especially multipath modeling andcorrection, de-noising method of dynamic measurement are discussed systemically in thisdissertation. The main works and contributions are summarized as follows:
     1. The observation model, stochastic model and error model for kinematic relativepositioning using GNSS on short baseline are summarized, and then, the influence of residualtropospheric delay on kinematic positioning accuracy is studied. The experimental resultindicates that residual tropospheric delay will affect the result of baseline significantly when theheight difference between base and rover stations is too large, for vertical component theinfluence may reach a level of several centimeters. The residual zenith tropospheric delayestimation method is effective to improve the accuracy of baseline.
     2. The influence of priori coordinate error, residual tropospheric delay and multipath effecton real ambiguity is analyzed in detail, and then the partial search method based on prioricoordinate constraint is put forward to resolve integer ambiguity instantaneously. This method issuitable for single-frequency receiver and gives attention to efficiency and reliability. Theoreticalanalysis shows that the tolerance of priori coordinate error for this method is5cm. Experimentalresults illustrate the effectiveness.
     3. An instantaneous ambiguity resolution method suitable for dual-frequency receiver isestablished for high rate deformation. This method involves two steps. Firstly, two combinationobservations with longer wavelength are selected to reduce the ambiguity search space, and then,the inner correlation between dual carrier phase data, L1and L2, is used to determinate thecorrect integer ambiguity. Theoretical analysis shows that the tolerance of priori coordinatecomponent error for this method is exceeded to30cm. To decrease the influence of errors such asmultipath, iterative search based on robust adaptive Kalman filter is adopted in the algorithm,and the critical value of weighting factor in robust estimation is studied.
     4. The character of multipath was analyzed, and then the effect of several stochastic modelson mitigating multipath error is compared. The experimental data collected on a fixed baseline in two consecutive days demonstrated the repeatability of multipath either in coordinate space or inobservational space. The true repeat time of multipath was studied for high-rate GNSSmonitoring system using the GPS broadcast ephemeris from IGS. The results show that therepeat time varies for each satellite and differs significantly from sidereal period. The meanrepeat time is about10s less than the sidereal.
     5. The principle and drawbacks of Empirical Mode Decomposition (EMD) do-noisingmethod is discussed, and then a modified Ensemble EMD (EEMD) method is introduced. Boththeoretical analysis and experimental data demonstrate that multipath observable is a sort ofcomplex and intermittent signal and EEMD is more suitable to de-noise and extract multipathmodel than EMD.
     6. A scale threshold de-noising method is put forward based on the characteristics ofIntrinsic Mode Function of white noise decomposed by EEMD. With simulated data andobserved data from a settlement monitoring campaign, EEMD forced de-noising, EEMDthreshold de-noising and several kinds of wavelet de-noising methods are compared, and theresults show that EEMD threshold de-noising method perform better than the forced method dueto some significant details within high frequency band are reserved. Compare to wavelet method,EEMD is adaptive and free from the choice of wavelet base and the determination of the numberof decomposition order.
     7. The principle of modeling multipath error based on single difference residuals used forhigh-rate GNSS structural deformation monitoring is analyzed. Using real GPS observable, it isindicated that the precondition of this method is satisfied approximately on short baselines.Multipath models are extracted using EEMD soft threshold de-noising method on the referenceday collected on a fixed baseline both in coordinate and single difference domain respectively,and are used to remove multipath errors on subsequent days. The results show that both incoordinate and single difference domain, the accuracy of GNSS positioning is improved,especially for the vertical component. Due to the fact that each satellite has a different multipathrepeat period, and in sidereal filter using single difference residuals, the multipath model of eachsatellite is shifted according to its true repeat period, so, more precise results are gotten than thatusing coordinate series.
     8. The function, structure and flow of the algorithms of our GNSS data processing softwaresuitable for dynamic deformation monitoring are discussed. Then real data collected on a testplatform was processed and then the ability of our software is verified through comparing theresults of our software to those of GrafNave and IMU. At last, a prototype deformationmonitoring system in a coal mine and the test result are introduced. The prototype system iscomprised of single-frequency GPS receivers, wireless communication network and our software. The real experimental result indicates that the root mean square of coordinate series reach0.8mmfor horizontal component and1.1mm for vertical component after removing multipath andde-noising. And the time consumption of data processing for every epoch is less than0.1s. It isdemonstrated that this prototype system can satisfy high-rate dynamic deformation monitoringwith1Hz.
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