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[论文]GPS RTK技术在地籍测量中的应用研究
作者:成都新瑞测绘  来源:中国地理信息网  浏览:1571次  更新:2009/11/12 9:24:48

GPS(Global Positioning System,全球定位系统)是美国于1994年全面建成,具有全方位实时三维导航与定位能力的新一代卫星导航与定位系统。我国测绘等部门经过近10年的使用表明,GPS以全天候、高精度、自动化、高效益等显著特点,赢得广大测绘工作者的信赖,并成功地应用于大地测量、工程测量、航空摄影测量、运载工具导航、地壳运动监测、工程变形监测、资源勘查、地球动力学等多种学科,给测绘领域带来了一场深刻的技术革命。 
GPS RTK (Real Time Kinematic,实时动态)技术是在GPS基础上发展起来的,能够实时提供流动站在指定坐标系中的三维定位结果,并在一定范围内达到厘米级精度的一种新的GPS定位测量方式,是GPS应用的重大里程碑,它的出现为工程放样、地形测图、各种控制测量带来了新曙光,极大地提高了外业作业效率。 
目前,常规的GPS测量主要使用静态、快速静态方法来建立二级以上平面控制网,GPS在地籍测量中的应用也仅限于此;GPSRTK技术主要用于地形测量的碎部点采集、施工放样等,而用来代替一、二级加密控制测量、图根控制测量、地籍测量的界址点测量尚处于试验研究阶段。本文以实例,对应用RTK技术测量地籍加密一级控制点、界址点进行了试验性研究,得出了一些有益的结论,为修订地籍测量规范提供参考,同时使其在地籍测量中的应用科学化、规范化。 
2、GPS RTK技术的基本原理及测量方法 
2.1 RTK的基本原理 
RTK技术采用差分GPS三类(位置差分、伪距差分和相位差分)中的相位差分。这三类差分方式都是由基准站发送改正数,由流动站接收并对其测量结果进行改正,以获得精确的定位结果,所不同的是发送改正数的具体内容不一样,其差分定位精度也不同。前两类定位误差的相关性会随基准站与流动站的空间距离的增加其定位精度迅速降低,故RTK采用第三种方法。 
RTK的工作原理是将一台接收机置于基准站上,另一台或几台接收机置于流动站上,基准站和流动站同时接收同一时间相同GPS卫星发射的信号,基准站所获得的观测值与已知位置信息进行比较,得到GPS差分改正值。然后将这个改正值及时地通过无线电数据链电台传递给流动站以精化其GPS观测值,得到经差分改正后流动站较准确的实时位置。流动站可处于静止状态,也可处于运动状态。 
RTK分修正法和差分法。修正法是基准站将载波相位修正量发送给流动站,以改正其载波相位,然后求解坐标。差分法是将基准站采集的载波相位发送给流动站进行求差解算坐标。前者为准RTK技术,后者为真正的RTK技术。 
2.2GPS RTK系统组成 
以美国天宝(Trimble)5700双频接收机为例来说明RTK的系统组成。 
2.3RTK的测量方法 
(1)“无投影/无转换”法。直接用接收机在基准站和流动站接收WGS-84坐标,其后利用观测的已知点的WGS-84坐标和相应的地方坐标根据一定的数学模型进行转换。这种方法基准站不一定要安置在已知点上,但根据不同的转换方法,需要观测一定数量的已知点。 
(2)“键入参数”法。把用静态观测求得的WGS-84坐标和地方坐标键入到手簿中,进行转换,也可以置入静态观测平差时求取的转换参数。该方法基准站须架设在已知点上,但可以不观测其它已知点(为了检核,建议在方便时还是观测一定量的已知点)。 
设置一台GPS接收机作为基准站,并将一些必要的数据如基准站的坐标、高程、坐标转换参数等输入GPS控制手簿,一台或几台GPS接收机设置为流动站。基准站和流动站同时接收卫星信号,基准站将接收到的卫星信号通过基准站电台发送到流动站,流动站将接收到的卫星信号与基准站发来的信号传输到控制手簿进行实时差分及平差处理,实时得到本站的坐标和高程及其精度指标等,并随时将实测精度和预设精度指标进行比较,一旦实测精度达到预设精度指标的要求,手簿将提示测量人员是否接受该成果,接受后手簿将测得的坐标、高程及精度同时存储到手簿中。 
2.4  流动站距基准站的距离 
RTK数据链无线电发射机的工作频率目前采用UHF频段,当功率一定时,发射距离随天线高度增加而增加。

3、应用实例
使用Trimble5700双频GPS接收机,其RTK标称精度为,水平:±(10mm+1ppm×基线长度),垂直:±(20mm+1ppm×基线长度),选择3个以上具有水准高程且均匀分布在RTK测量范围的三、四等GPS点作为公共点,求取七参数进行WGS-84坐标系到地方坐标系的转换。
3.1GPS RTK代替地籍加密一级导线的实例
3.1.1  实例区概况
实例区以楚雄某镇为中心,1:500数字化地籍测量面积约40km2,主要为居民地、平地、丘陵地、少部分为山地。最大高差约200米,平均海拨为1850米,实例区附近有足够三、四等GPS点。
3.1.2  一级导线观测情况
RTK分修正法和差分法。修正法是基准站将载波相位修正量发送给流动站,以改正其载波相位,然后求解坐标。差分法是将基准站采集的载波相位发送给流动站进行求差解算坐标。前者为准RTK技术,后者为真正的RTK技术。
在三、四等GPS点下布设一级导线网,导线网水平角采用LeicaTC702及TOPCON GTS322全站仪观测,水平角两测回测定。高程网以测区附近的三等水准点为基准,布设成结点网,按四等光电测距高程导线的要求与水平角同时施测,垂直角中丝法往返观测三测回,边长往返观测一测回。一级导线网共274点,平均边长为350m,测角中误差mβ=±3.0″,平差后最弱点点位中误差mX=±3.22cm,mY=±2.50cm,mXY=±4.08cm,最弱导线路线相对闭合差1:19000;四等光电测距高程导线网最弱点高程中误差mH=±1.61cm。以上精度符合文献[3]的要求。
3.1.3  GPS RTK施测情况
本区用RTK共检测一级导线点47点,流动站距基准站最大距离5.84km,最近距离30m,平均距离2.45km。预置精度为:平面3cm、高程5cm。
3.1.4  RTK测量结果与一级导线比较
将一级导线成果作为真值,RTK成果与其的X、Y、H差值均符合偶然误差的特性,最大差值为dx=-4.1cm,dy=-4.7cm,dH=-12.4cm,由较差∆计算得RTK观测中误差为mX=±=±2.05cm, mY =±1.78cm, mXY =±2.71cm,mH=±4.25cm。
为了进一步检验RTK的精度,同时检测了32条一级导线边长,与全站仪观测边长比较最大较差为2.3cm,平均较差5.6mm(平均边长314m,相对中误差1/56000),RTK边长中误差±0.98cm。
由此可以看出,RTK可以代替地籍控制测量的常规一、二级导线测量及图根控制测量。
3.2 GPS RTK采集界址点实例
同一区域,在二级导线以上控制点上,应用GPSRTK技术对一些对能接收卫星信号的界址点进行了检测(流动站距基准站最大距离2.59Km,,最近距离210m,平均距离1.54km)。全区共检测界址点28点,与用全站仪极坐标法观测的坐标值相比较,其X、Y、H差值也符合偶然误差的特性,最大差值为dx=-5.0cm,dy=4.2cm,dH=-8.8cm,由较差计算得RTK观测中误差为mX=±2.80cm,mY =±2.14cm,mXY =±3.52cm,mH=±2.95cm。
可见,RTK技术采集的界址点精度符合文献[3]的要求。
4、结束语
通过实例可以得到以下几点结论,供应用GPS RTK技术进行地籍控制测量、地籍测量及修改地籍测量规范时参考。
(1)GPSRTK技术因高效率、灵活、误差不积累、厘米级的高精度越来越受到测绘人员的青睐。RTK高程精度低于平面精度,而地籍测量对高程的精度要求较低。因此,RTK技术应用来进行地籍一、二级控制和界址点测量是目前较为理想的方法,在勘测定界中优势尤为突出。也就是说,RTK测量方法可以替代常规的一二级导线测量及图根控制、界址点测量。
(2)与静态、快速静态GPS测量相比较,RTK无足够的几何检核条件,笔者认为不宜用来作首级控制。在使用RTK布设加密控制点时要加强检核,若代替一、二级点时可以采取在不同的基准站上分别独立施测或设立双基站的方式施测,取中数使用,这样不但避免了粗差,而且使点位精度得到提高。
(3)RTK定位的数据处理主要是基准站和流动站间的单基线处理,而基准站和流动站的观测数据质量及无线电信号的传播质量对定位精度的影响极大。因此,把基准站设立在要进行RTK测量区域的较高点上,提高基准站和流动站天线的架设高度。
(4)RTK测点必须在求取WGS-84坐标到地方坐标系转换参数的高级控制点的范围内,同时尽量均匀分布,最高、最低点也尽可能选点。
(5)根据(1)式计算的距离是在无任何遮挡物的空旷地带的理论值,实际上要根据实地情况来确定。根据该式计算的距离范围只能保证厘米级精度,要满足文献[3]的规定精度,对于一、二级控制点及界址点一般流动站距基准站的距离不要超过8公里,在(1)式计算的范围可以进行地籍细部点测量。

 

 

 

 

 

 

 

 

GPS (Global Positioning System, Global Positioning System) is the United States in 1994 and fully completed, with full range of real-time three-dimensional navigation and positioning capabilities of the new generation of satellite navigation and positioning system. Surveying and mapping and other departments in China after nearly 10 years of use shows that, GPS with all-weather, high precision, automation, high efficiency and other salient features to win the trust of workers in the general mapping, and successfully applied to land surveying, engineering surveying, aerial photography measurements, vehicle navigation, crustal movement monitoring, engineering deformation monitoring, resource exploration, Geodynamics and other disciplines, surveying and mapping fields to bring about a profound technological revolution.
GPS RTK (Real Time Kinematic, RTK) GPS technology is developed on the basis, capable of real-time mobile stations in the specified coordinates in three-dimensional positioning results, and within a certain range to achieve centimeter-level precision of a new GPS position measurement, is a major milestone in GPS application, which loft the emergence of engineering, topographic mapping, measurement of various control has brought a new light, greatly enhancing the efficiency of foreign trade operations.
At present, the routine use of GPS measurements are mainly static, rapid static method to create two or more horizontal control network, GPS in the Cadastral Survey of the applications are limited to this; GPSRTK technique is mainly used for the Department of Ordnance Survey's broken point of acquisition, construction layout, etc. and used in place of one, two encryption control surveying, Figure Root Control measurements, cadastral survey of the boundary point of measurement is still in the pilot study stage. In this paper, examples on the application of RTK techniques to measure the encryption a cadastral control points, boundary points of the pilot study obtained some useful conclusions for the revision of cadastral survey reference standard, while it in the Cadastral Survey of scientific and standardized.
2, GPS RTK technology, the basic principle and measurement method
2.1 RTK basic principle of
RTK technology uses three types of differential GPS (location differential, pseudo-range differential and phase difference) in the phase difference. These three differential manner by the number of base stations to send corrected by the mobile stations to receive and make corrections to their measurements in order to obtain accurate positioning results, the difference is sent to correct the specific content is not the same as the number of their differential positioning accuracy are also different. The first two categories would be the relevance of positioning errors with the base station and mobile station to increase its spatial distance from the positioning accuracy rapidly decreased, so RTK using the third method.
RTK works is a receiver placed on the base station, another station or several receivers placed on mobile stations, the base station and mobile stations at the same time receiving the same GPS satellite launch at the same time the signal received by base station The observed value compared with the known location information received differential GPS corrections. And then the corrections in a timely manner through the radio data link radios to the mobile stations in order to refine the GPS observations, to be corrected by the difference a more accurate real-time location of mobile station. Mobile stations could be in a quiescent state, but also in motion.
RTK sub Amendment Act and the difference method. Amendment Act is the base station will send the amount of carrier phase-corrected mobile stations in order to correct the carrier phase, and then solve the coordinates. Difference method is the base station carrier phase collected sent to the mobile station is evaluated difference solver coordinates. RTK technology, whichever is earlier, the latter for real RTK technology.
2.2GPS RTK system components
The United States Tianbao (Trimble) 5700 dual-frequency RTK receivers as an example to illustrate the composition of the system.
2.3RTK measurements
(1) "No projection / no conversion" method. Directly in the base station and mobile station receiver receives WGS-84 coordinates, and then use observations of known points of WGS-84 coordinates and the corresponding local coordinates of the mathematical model according to certain conversion. This approach need not be placed in the base station known point, but according to different conversion method needs to observe a certain number of known points.
(2) "type parameter" method. The observations obtained with the static of the WGS-84 coordinates and local coordinates of type hand book, the conversion can also be placed in a static observation of the transformation parameters adjustment when the strike. The method to be mounted on a known reference station point, but can not observe other known point (in order to check, suggested at a convenient time, or a certain amount of a known observation point).
Set a GPS receiver as the base station, and some of the necessary data, such as base station coordinates, elevation, GPS coordinates transformation parameters such as input control of hand-book, one or several GPS receivers set to the mobile station. Base station and mobile stations to receive satellite signals at the same time, base station will receive the satellite signal through the radio base station sent to the mobile stations, mobile stations will receive satellite signals and base station transmit the signal sent to the control hand-book for real-time differential and the adjustment processing, real-time to be site of the coordinates and elevation and its accuracy indicators, and to keep the measurement accuracy and precision of indicators to compare the default, if the default precision index measurement accuracy requirements, hand book will be prompted to measure whether the staff to accept the results, to accept flac book will be the measured coordinates, elevation and precision hand book store at the same time.
2.4 The mobile station distance from the base station
RTK data link radio transmitter operating frequency UHF band currently used, when the power is constant, firing range with the antenna height increases.

3 Applications
Use Trimble5700 dual-frequency GPS receiver, its nominal precision of RTK, horizontal: ± (10mm +1 ppm × baseline length), vertical: ± (20mm +1 ppm × baseline length), select three or more with a standard height and evenly distributed in RTK measurement range of the three or four other GPS points as the public points, seven parameters to strike a WGS-84 coordinate system to the local coordinate system conversion.
3.1GPS RTK cadastral encrypt a wire instead of an instance of
District Overview 3.1.1 instance
Examples of areas to a certain town as the center of Chuxiong, 1:500 digital cadastral area of about 40km2, mainly residential areas, plains, hilly, small part is mountainous. Maximum elevation difference of about 200 meters, with an average elevation of 1850 meters, examples near enough three or four other GPS points.
3.1.2 Observation of a wire
RTK sub Amendment Act and the difference method. Amendment Act is the base station will send the amount of carrier phase-corrected mobile stations in order to correct the carrier phase, and then solve the coordinates. Difference method is the base station carrier phase collected sent to the mobile station is evaluated difference solver coordinates. RTK technology, whichever is earlier, the latter for real RTK technology.
In the three or four GPS points, such as laying a cable under the net, wire net horizontal angle using LeicaTC702 and TOPCON GTS322 Total Station observations, horizontal angle measured back to two measurement. Network to measure elevation near the third-class standard of points as the base, laid into a node network, according to fourth-grade wire EDM height requirements and horizontal angle measurement facilities at the same time, the vertical angle in the wire method and from the observation three measurements back, side measured back from a long observation. A wire net total of 274 points, with an average side length of 350m, angle measurement error in mβ = ± 3.0 ", the weakest little bit of adjustment after the error of mX = ± 3.22cm, mY = ± 2.50cm, mXY = ± 4.08cm , the weakest wire routes are closed differential 1:19000; four wire networks such as electro-optical distance Elevation Elevation of the weaknesses of the error mH = ± 1.61cm. more accuracy in line with literature [3] requirements.
3.1.3 GPS RTK Shi test case
RTK were detected in this area with a wire-point 47-point, mobile stations from the base station maximum distance 5.84km, nearest 30m, an average distance of 2.45km. Preset accuracy: Flat 3cm, height 5cm.
3.1.4 RTK measurement results compared with a wire
The outcome will be a conductor as the true value, RTK with the results of the X, Y, H margin are in line with the characteristics of accidental error, the largest margin of dx =- 4.1cm, dy =- 4.7cm, dH =- 12.4cm, by the lower Δ calculated RTK observation error mX = ± = ± 2.05cm, mY = ± 1.78cm, mXY = ± 2.71cm, mH = ± 4.25cm.
In order to further test the accuracy of RTK, simultaneous detection of 32 a side length of wires, compared with the total station observation maximum side length less of 2.3cm, an average of less 5.6mm (average side length of 314m, the relative error of 1 / 56000 ), RTK side length of error of ± 0.98cm.
It can be seen, RTK Cadastral Control Survey can replace the conventional one, two wire measurement and map Root Control Survey.
3.2 GPS RTK collect examples of boundary points
The same region, in the two control points on the wire above, the application GPSRTK technology to some to be able to receive satellite signals were detected boundary points (mobile stations the maximum distance from the base station 2.59Km,, nearest 210m, the average distance of 1.54km) . Boundary points were detected, the region of 28 points, with the polar coordinate method with the total station coordinates of the observed compared to the value of its X, Y, H difference also in line with the characteristics of accidental error, the largest margin of dx =- 5.0cm, dy = 4.2cm, dH =- 8.8cm, calculated by the poor RTK observation error mX = ± 2.80cm, mY = ± 2.14cm, mXY = ± 3.52cm, mH = ± 2.95cm.
Can be seen, RTK technology to collect a boundary-point accuracy in line with literature [3] requirements.
4, Conclusion
By the following examples can be concluded with the GPS RTK technology in the supply of cadastral control surveying, cadastral and revise cadastral standard reference.
(1) GPSRTK technology for high efficiency, flexibility, and the error does not accumulate and centimeter-level surveying and mapping of high-precision more and more persons of all ages. RTK Elevation below the plane precision accuracy, while the cadastral survey of the elevation accuracy requirements are lower. Thus, RTK technology to carry out the cadastral and secondary control and Boundary-point measurements is the ideal method of delimitation in the investigation of edge particularly prominent. In other words, RTK measurement methods can replace the conventional 12 lead measurement and map Root Control, Boundary-point measurement.
(2) and the static, rapid static GPS measurements compared, RTK without adequate vetting of the geometric conditions, I believe that should not be used as a first-stage control. Encrypted using the RTK control points laid to step up checks, if instead of one, two points can be taken at different base stations, respectively, or to set up an independent testing facilities the way pairs of base stations, test facilities, take the number to use, it will not only to avoid gross error, but also point precision is improved.
(3) RTK positioning data processing is mainly between the base station and mobile station a single-baseline processing, while the base station and mobile station observation data quality and the quality of radio signals transmitted a great impact on the positioning accuracy. Therefore, the base station set up in the region to conduct RTK measurement of the higher point, raising the base station and mobile station antenna height erected.
(4) RTK measurement point must be to strike a WGS-84 coordinates to the local coordinate system transformation parameters of the high-level control points within the same time, as even as possible distribution, the highest point of the lowest point for the election as much as possible.
(5) According to (1) calculated the distance without any shelter materials in the open area of the theoretical value, in fact be determined according to conditions on the ground. According to the calculated distance from the range of centimeter-level precision can only be guaranteed, it is necessary to meet the literature [3] the provisions of accuracy, for one, two boundary control points and mobile stations is generally the distance from the base station should not exceed 8 km in ( 1) can be calculated by the scope of the cadastral detailed point measurements.
 
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