CN102831456B - Indoor wireless positioning method based on RF (Radio Frequency) identification signal level - Google Patents

Indoor wireless positioning method based on RF (Radio Frequency) identification signal level Download PDF

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CN102831456B
CN102831456B CN201210296099.5A CN201210296099A CN102831456B CN 102831456 B CN102831456 B CN 102831456B CN 201210296099 A CN201210296099 A CN 201210296099A CN 102831456 B CN102831456 B CN 102831456B
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张维
李文涛
田琦楠
王嘉
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Northwestern Polytechnical University
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Abstract

本发明提出了一种基于射频识别信号级别的室内无线定位方法,首先将待定位场景划分为网格,并在每个正方形网格中心位置放置有相同的主动电子标签作为校正点;然后在线下建立主动电子标签的能量级别对应表;接着用待定位目标上的RFID阅读器测量各个校正点的RSS值,得到各主动电子标签在待定位目标处的信号能量级别,以及各主动电子标签的定位区域;最后通过逻辑判断进行定位。本发明只需要1个RFID阅读器,引入线下预学习阶段,利用预设的电子标签信号能量级关联确定系统中唯一的RFID读写器的位置。

The present invention proposes an indoor wireless positioning method based on the radio frequency identification signal level. First, the scene to be positioned is divided into grids, and the same active electronic tag is placed at the center of each square grid as a correction point; Establish the energy level correspondence table of the active electronic tag; then measure the RSS value of each calibration point with the RFID reader on the target to be located, and obtain the signal energy level of each active electronic tag at the target to be located, and the positioning of each active electronic tag area; finally locate through logical judgment. The present invention only needs one RFID reader, introduces the offline pre-learning stage, and uses the preset electronic tag signal energy level association to determine the position of the only RFID reader in the system.

Description

一种基于射频识别信号级别的室内无线定位方法An Indoor Wireless Positioning Method Based on Radio Frequency Identification Signal Level

技术领域 technical field

本发明涉及室内环境下无线定位技术领域,具体为一种基于射频识别信号级别的室内无线定位方法。The invention relates to the technical field of wireless positioning in an indoor environment, in particular to an indoor wireless positioning method based on a radio frequency identification signal level.

背景技术 Background technique

射频识别技术应用已经十分常见,从资产追踪、服务工业、物流业和制造业到供应链。RFID大量应用使得RFID硬件的价格下降明显,而且研发了自动识别的稳定设备。RFID有明显的优势,比如非接触识别、非视距可读等等。正是由于这些能力,RFID技术可以作为室内定位的优选,虽然起初的设计开发并非为此。RFID applications are already common, ranging from asset tracking, service industries, logistics and manufacturing to supply chains. The large number of applications of RFID has made the price of RFID hardware drop significantly, and stable equipment for automatic identification has been developed. RFID has obvious advantages, such as non-contact identification, non-line-of-sight readability, and so on. It is because of these capabilities that RFID technology can be used as the first choice for indoor positioning, although it was not originally designed and developed for this purpose.

但是,使用RFID定位仍然有许多困难。首先,系统需要大量的设备才能估计位置,而且大多数设备没有读取RSSI的功能。再有,RFID可以工作频率从低频到微波,必须要选择合适的工作频率。电子标签也有很多种,比如主动标签、被动标签和半主动标签,标签的种类也会影响定位精度。However, there are still many difficulties in using RFID positioning. First, the system requires a large number of devices to estimate position, and most devices do not have the capability to read RSSI. Furthermore, RFID can work at frequencies ranging from low frequency to microwave, and it is necessary to select a suitable working frequency. There are also many types of electronic tags, such as active tags, passive tags, and semi-active tags. The type of tag will also affect the positioning accuracy.

最著名的RFID定位系统是LANDMARC定位系统,这种技术通过在引入参考标签,布置在已知位置,作为系统地标。因为参考标签和待定位标签处于同样的室内环境,所以环境动态变化对于定位精度影响较小。首先通过计算能量级向量的欧氏距离,确定出待定位标签邻近的参考标签,这些邻近标签坐标加权平均后作为待定位标签的位置。由于使用参考标签代替价格昂贵的RFID读写器,LANDMARC使用较少的RFID读写器就可以获得较高的定位精度。由于仍然需要3个以上的RFID读写器,定位成本仍然较高。而且该系统需要将所有参考标签都作为邻近标签候选,所以引入了大量不必要的计算。The most famous RFID positioning system is the LANDMARC positioning system. This technology introduces reference tags and arranges them at known locations as system landmarks. Because the reference tag and the tag to be positioned are in the same indoor environment, the dynamic change of the environment has little influence on the positioning accuracy. First, by calculating the Euclidean distance of the energy level vector, the reference tags adjacent to the tag to be located are determined, and the coordinates of these adjacent tags are weighted and averaged as the position of the tag to be located. By using reference tags instead of expensive RFID readers, LANDMARC uses fewer RFID readers to achieve higher positioning accuracy. Since more than 3 RFID readers are still required, the positioning cost is still high. Moreover, the system needs to consider all reference labels as neighboring label candidates, so a lot of unnecessary calculations are introduced.

发明内容 Contents of the invention

要解决的技术问题technical problem to be solved

为解决现有技术存在的问题,本发明提出了一种基于射频识别信号级别的室内无线定位方法,只需要1个RFID阅读器,引入线下预学习阶段,利用预设的电子标签信号能量级关联确定系统中唯一的RFID读写器的位置。In order to solve the problems existing in the prior art, the present invention proposes an indoor wireless positioning method based on the radio frequency identification signal level, which only needs one RFID reader, introduces the offline pre-learning stage, and utilizes the preset energy level of the electronic tag signal Association determines the location of unique RFID interrogators in the system.

技术方案Technical solutions

本发明的技术方案为:Technical scheme of the present invention is:

所述一种基于射频识别信号级别的室内无线定位方法,其特征在于:包括以下步骤:The indoor wireless positioning method based on the radio frequency identification signal level is characterized in that: comprising the following steps:

步骤1:将待定位的室内场景划分为N×M个正方形网格,每个正方形网格的边长为a,在每个正方形网格中心位置放置有相同的主动电子标签作为校正点;Step 1: Divide the indoor scene to be positioned into N×M square grids, the side length of each square grid is a, and the same active electronic tag is placed at the center of each square grid as a calibration point;

步骤2:线下建立主动电子标签的能量级别对应表:Step 2: Establish the energy level correspondence table of active electronic tags offline:

其中信号能量级别与距离S的对应表为:The corresponding table of signal energy level and distance S is:

  信号能量级别 Signal energy level   RFID阅读器与主动电子标签距离S The distance S between the RFID reader and the active electronic tag   L1 L 1   S≤a/4 S≤a/4   L2 L 2   a/4<S≤a/2 a/4<S≤a/2   L3 L 3   a/2<S≤a a/2<S≤a   L4 L 4   S>a S > a

在S=a/4,S=a/2和S=a的三条圆上,分别选取不少于10个不同测量点,并在每个点处采用RFID阅读器测量主动电子标签的RSS值,并分别取平均值后得到信号能量级别与RSS值R的对应表:On the three circles of S=a/4, S=a/2 and S=a, select no less than 10 different measurement points, and use an RFID reader to measure the RSS value of the active electronic tag at each point, And get the corresponding table of signal energy level and RSS value R after taking the average value respectively:

  信号能量级别 Signal energy level  RFID阅读器与主动电子标签距离S The distance S between the RFID reader and the active electronic tag   RSS值R RSS value R   L1 L 1  S≤a/4 S≤a/4   R≥Ra/4 R≥R a/4   L2 L 2  a/4<S≤a/2 a/4<S≤a/2   Ra/2≤R<Ra/4 R a/2 ≤ R < R a/4   L3 L 3  a/2<S≤a a/2<S≤a   Ra≤R<Ra/2 R a ≤ R < R a/2   L4 L4  S>a S>a   R<Ra R<R a

步骤3:用待定位目标上的RFID阅读器测量各个校正点的RSS值,对照步骤2中建立的主动电子标签能量级别对应表,得到各主动电子标签在待定位目标处的信号能量级别,以及各主动电子标签的定位区域;Step 3: Use the RFID reader on the target to be located to measure the RSS value of each calibration point, and compare the active electronic tag energy level correspondence table established in step 2 to obtain the signal energy level of each active electronic tag at the target to be located, and The positioning area of each active electronic tag;

步骤4:求步骤3得到的各主动电子标签定位区域的交集,若得到的交集不为空集,则以得到的交集区域作为待定位目标的定位区域,交集区域的几何中心为待定位目标的估计定位点;若得到的交集为空集,则进入步骤5;Step 4: Calculate the intersection of each active electronic tag positioning area obtained in step 3. If the obtained intersection is not an empty set, then use the obtained intersection area as the positioning area of the target to be located, and the geometric center of the intersection area is the location of the target to be located. Estimate the anchor point; if the obtained intersection is an empty set, go to step 5;

步骤5:在步骤3得到的各主动电子标签在待定位目标处的信号能量级别中,选取具有相同信号能量级别的主动电子标签,并求取每组具有相同信号能量级别的主动电子标签的定位区域的交集,得到k组交集为空的主动电子标签和l组交集不为空的主动电子标签;Step 5: From the signal energy levels of the active electronic tags obtained in step 3 at the target to be located, select active electronic tags with the same signal energy level, and calculate the positioning of each group of active electronic tags with the same signal energy level The intersection of the regions, the active electronic tags whose k group intersection is empty and the l group whose intersection is not empty active electronic tags are obtained;

步骤6:求l组交集不为空的主动电子标签的定位区域的交集为Ω;将k组交集为空的主动电子标签中的每个主动电子标签的定位区域与Ω分别求交集,得到W个交集区域,其中W为k组交集为空的主动电子标签的个数,将W个交集区域中的空集去除后得到w个非空区域,则待定位目标的估计定位点坐标其中Pi为w个非空区域中的第i个非空区域的几何中心,Ai为w个非空区域中的第i个非空区域的面积。Step 6: Find the intersection of the positioning areas of the active electronic tags whose intersection set l is not empty is Ω; find the intersection of the positioning area of each active electronic tag in the active electronic tags whose intersection set k is empty and Ω respectively, and obtain W intersection areas, where W is the number of k groups of active electronic tags whose intersections are empty, and w non-empty areas are obtained after removing the empty sets in the W intersection areas, then the estimated positioning point coordinates of the target to be located Where P i is the geometric center of the i-th non-empty area among the w non-empty areas, and A i is the area of the i-th non-empty area among the w non-empty areas.

有益效果Beneficial effect

本发明提出的一种基于射频识别信号级别的室内无线定位方法,只需要1个RFID阅读器,引入线下预学习阶段,利用预设的电子标签信号能量级关联确定系统中唯一的RFID读写器的位置。试验显示,在同一实验环境下,LANDMARC定位平均误差为1.7m,耗时2.03s,而本发明方法定位平均误差为0.7m,耗时0.3s。An indoor wireless positioning method based on the radio frequency identification signal level proposed by the present invention only needs one RFID reader, introduces the offline pre-learning stage, and uses the preset electronic tag signal energy level correlation to determine the unique RFID reading and writing in the system location of the device. The test shows that under the same experimental environment, the average positioning error of LANDMARC is 1.7m and takes 2.03s, while the average positioning error of the method of the present invention is 0.7m and takes 0.3s.

附图说明 Description of drawings

图1:实施例中主动电子标签的能量级别对应表示意图;Figure 1: Schematic diagram of the energy level correspondence table of the active electronic tag in the embodiment;

具体实施方式 Detailed ways

下面结合具体实施例描述本发明:Describe the present invention below in conjunction with specific embodiment:

本实施例中的定位场景为正方形场景。采用的基于射频识别信号级别的室内无线定位方法包括以下步骤:The positioning scene in this embodiment is a square scene. The adopted indoor wireless positioning method based on the radio frequency identification signal level includes the following steps:

步骤1:将待定位的室内场景划分为3×3个正方形网格,每个正方形网格的边长为2m,在每个正方形网格中心位置放置有相同的主动电子标签作为校正点。Step 1: Divide the indoor scene to be positioned into 3×3 square grids, each square grid has a side length of 2m, and place the same active electronic tag at the center of each square grid as a calibration point.

步骤2:线下建立主动电子标签的能量级别对应表:Step 2: Establish the energy level correspondence table of active electronic tags offline:

其中信号能量级别与距离S的对应表为:The corresponding table of signal energy level and distance S is:

  信号能量级别 Signal energy level   RFID阅读器与主动电子标签距离S The distance S between the RFID reader and the active electronic tag   L1 L 1   S≤0.5m S≤0.5m   L2 L 2   0.5m<S≤1m 0.5m<S≤1m   L3 L 3   1m<S≤2m 1m<S≤2m   L4 L 4   S>2m S>2m

在S=0.5m,S=1m和S=2m的三条圆上,分别选取10个不同测量点,并在每个点处采用RFID阅读器测量主动电子标签的RSS值,并分别取平均值后得到信号能量级别与RSS值R的对应表:On the three circles of S=0.5m, S=1m and S=2m, select 10 different measurement points, and use an RFID reader to measure the RSS value of the active electronic tag at each point, and take the average value respectively Get the corresponding table of signal energy level and RSS value R:

  信号能量级别 Signal energy level  RFID阅读器与主动电子标签距离S The distance S between the RFID reader and the active electronic tag   RSS值R RSS value R   L1 L 1  S≤0.5m S≤0.5m   R≥-45dBm R≥-45dBm   L2 L 2  0.5m<S≤1m 0.5m<S≤1m   -52dBm≤R<-45dBm -52dBm≤R<-45dBm   L3 L 3  1m<S≤2m 1m<S≤2m   -67dBm≤R<-52dBm -67dBm≤R<-52dBm   L4 L 4  S>2m S>2m   R<-67dBm R<-67dBm

如图1所示,在每个主动电子标签周围形成了4个区域,对应4个信号能量级别,其中L1对应以主动电子标签为圆心,半径为0.5m的圆区域,L2对应以主动电子标签为圆心,内径为0.5m,外径为1m的圆环区域,L3对应以主动电子标签为圆心,内径为1m,外径为2m的圆环区域,L4对应以主动电子标签为圆心,半径为2m的圆以外区域。As shown in Figure 1, four areas are formed around each active electronic tag, corresponding to four signal energy levels, where L 1 corresponds to a circular area with the active electronic tag as the center and a radius of 0.5m, and L 2 corresponds to the active electronic tag. The electronic tag is the center of the circle, the inner diameter is 0.5m, and the outer diameter is 1m. L 3 corresponds to the active electronic tag as the center of the circle, the inner diameter is 1m, and the outer diameter is 2m. L 4 corresponds to the active electronic tag. The center of the circle, the area outside the circle with a radius of 2m.

步骤3:用待定位目标上的RFID阅读器测量各个校正点的RSS值,对照步骤2中建立的主动电子标签能量级别对应表,得到各主动电子标签在待定位目标处的信号能量级别,以及各主动电子标签的定位区域:Step 3: Use the RFID reader on the target to be located to measure the RSS value of each calibration point, and compare the active electronic tag energy level correspondence table established in step 2 to obtain the signal energy level of each active electronic tag at the target to be located, and The positioning area of each active electronic tag:

 Tag11=L4 Tag 11 =L 4   Tag12=L3 Tag 12 =L 3   Tag13=L3 Tag 13 =L 3

 Tag21=L3 Tag 21 =L 3   Tag22=L2 Tag 22 =L 2   Tag23=L4 Tag 23 =L 4  Tag31=L4 Tag 31 =L 4   Tag32=L4 Tag 32 =L 4   Tag33=L4 Tag 33 =L 4

例如Tag11=L4,说明在待定位目标测得主动电子标签Tag11的信号能量级别为L4,对应主动电子标签Tag11的定位区域为以Tag11为圆心,半径为2m的圆以外区域。For example, Tag 11 = L 4 , indicating that the signal energy level of the active electronic tag Tag 11 measured at the target to be located is L 4 , and the location area corresponding to the active electronic tag Tag 11 is the area outside the circle with Tag 11 as the center and a radius of 2m .

步骤4:求步骤3得到的各主动电子标签定位区域的交集,若得到的交集不为空集,则以得到的交集区域作为待定位目标的定位区域,交集区域的几何中心为待定位目标的估计定位点;若得到的交集为空集,则进入步骤5。Step 4: Calculate the intersection of each active electronic tag positioning area obtained in step 3. If the obtained intersection is not an empty set, then use the obtained intersection area as the positioning area of the target to be located, and the geometric center of the intersection area is the location of the target to be located. Estimate the anchor point; if the obtained intersection is an empty set, go to step 5.

对照图1可以看出,本实施例中,各主动电子标签定位区域的交集为空集,所以进入步骤5。It can be seen from FIG. 1 that in this embodiment, the intersection of the positioning areas of active electronic tags is an empty set, so step 5 is entered.

步骤5:在步骤3得到的各主动电子标签在待定位目标处的信号能量级别中,选取具有相同信号能量级别的主动电子标签,并求取每组具有相同信号能量级别的主动电子标签的定位区域的交集,得到k组交集为空的主动电子标签和l组交集不为空的主动电子标签。Step 5: From the signal energy levels of the active electronic tags obtained in step 3 at the target to be located, select active electronic tags with the same signal energy level, and calculate the positioning of each group of active electronic tags with the same signal energy level The intersection of the regions, k groups of active electronic tags whose intersection is empty and l groups of active electronic tags whose intersection is not empty are obtained.

对照图1,本实施例中L2级别的主动电子标签只有1个,其交集必然不为空,L4级别的主动电子标签有5个,且其交集从图1中看也不为空;而L3级别的主动电子标签有3个,且其交集为空;所以本实施例中有1组交集为空的主动电子标签和2组交集不为空的主动电子标签。Compared with Fig. 1, there is only one active electronic tag at the L2 level in this embodiment, and its intersection must not be empty, and there are five active electronic tags at the L4 level, and its intersection is also not empty as seen in Fig. 1; However, there are 3 active electronic tags at level L3 , and their intersection is empty; therefore, in this embodiment, there is 1 group of active electronic tags whose intersection is empty and 2 groups of active electronic tags whose intersection is not empty.

步骤6:求l组交集不为空的主动电子标签的定位区域的交集为Ω;将k组交集为空的主动电子标签中的每个主动电子标签的定位区域与Ω分别求交集,得到W个交集区域,其中W为k组交集为空的主动电子标签的个数,将W个交集区域中的空集去除后得到w个非空区域,则待定位目标的估计定位点坐标其中Pi为w个非空区域中的第i个非空区域的几何中心,Ai为w个非空区域中的第i个非空区域的面积。Step 6: Find the intersection of the positioning areas of the active electronic tags whose intersection set l is not empty is Ω; find the intersection of the positioning area of each active electronic tag in the active electronic tags whose intersection set k is empty and Ω respectively, and obtain W intersection areas, where W is the number of k groups of active electronic tags whose intersections are empty, and w non-empty areas are obtained after removing the empty sets in the W intersection areas, then the estimated positioning point coordinates of the target to be located Where P i is the geometric center of the i-th non-empty area among the w non-empty areas, and A i is the area of the i-th non-empty area among the w non-empty areas.

本实施例中2组交集不为空的主动电子标签中共6个主动电子标签的定位区域的交集为Ω,将1组交集为空的主动电子标签中的3个主动电子标签的定位区域与Ω分别求交集,得到3个交集区域,其中有1个空集,去除空集后得到2个非空区域,则待定位目标的估计定位点坐标其中Pi为2个非空区域中的第i个非空区域的几何中心,Ai为2个非空区域中的第i个非空区域的面积。In this embodiment, the intersection of the positioning areas of the 6 active electronic tags in the 2 sets of active electronic tags whose intersection is not empty is Ω, and the positioning area of the 3 active electronic tags in the 1 group of active electronic tags whose intersection is empty is equal to Ω Calculate the intersection respectively, and get 3 intersection areas, including 1 empty set, and get 2 non-empty areas after removing the empty set, then the estimated positioning point coordinates of the target to be located Where P i is the geometric center of the i-th non-empty area among the two non-empty areas, and A i is the area of the i-th non-empty area among the two non-empty areas.

Claims (1)

1.一种基于射频识别信号级别的室内无线定位方法,其特征在于:包括以下步骤:1. A kind of indoor wireless positioning method based on radio frequency identification signal level, it is characterized in that: comprise the following steps: 步骤1:将待定位的室内场景划分为N×M个正方形网格,每个正方形网格的边长为a,在每个正方形网格中心位置放置有相同的主动电子标签作为校正点;Step 1: Divide the indoor scene to be positioned into N×M square grids, the side length of each square grid is a, and the same active electronic tag is placed at the center of each square grid as a calibration point; 步骤2:线下建立主动电子标签的能量级别对应表:Step 2: Establish the energy level correspondence table of active electronic tags offline: 其中信号能量级别与距离S的对应表为:The corresponding table of signal energy level and distance S is: 信号能量级别signal energy level RFID阅读器与主动电子标签距离SDistance S between RFID reader and active electronic tag L1 L 1 S≤a/4S≤a/4 L2 L 2 a/4<S≤a/2a/4<S≤a/2 L3 L 3 a/2<S≤aa/2<S≤a L4 L 4 S>aS > a
在以主动电子标签为圆心,半径为S=a/4,S=a/2和S=a的三条圆上,分别选取不少于10个不同测量点,并在每个点处采用RFID阅读器测量主动电子标签的RSS值,并分别取平均值后得到信号能量级别与RSS值R的对应表:On the three circles with the active electronic tag as the center and the radii of S=a/4, S=a/2 and S=a, select no less than 10 different measurement points, and use RFID reading at each point The RSS value of the active electronic tag is measured by the device, and the corresponding table of the signal energy level and the RSS value R is obtained after taking the average value: 信号能量级别signal energy level RFID阅读器与主动电子标签距离SDistance S between RFID reader and active electronic tag RSS值RRSS value R L1 L 1 S≤a/4S≤a/4 R≥Ra/4 R≥R a/4 L2 L 2 a/4<S≤a/2a/4<S≤a/2 Ra/2≤R<Ra/4 R a/2≤R <R a/4 L3 L 3 a/2<S≤aa/2<S≤a Ra≤R<Ra/2 R a ≤ R < R a/2 L4 L 4 S>aS > a R<Ra R<R a
步骤3:用待定位目标上的RFID阅读器测量各个校正点的RSS值,对照步骤2中建立的主动电子标签能量级别对应表,得到各主动电子标签在待定位目标处的信号能量级别,以及待定位目标所处的各主动电子标签的定位区域,所述主动电子标签的定位区域由以主动电子标签为圆心,半径为S=a/4,S=a/2和S=a的三条圆划分得到的四个对应不同信号能量级别的区域组成;Step 3: Use the RFID reader on the target to be located to measure the RSS value of each calibration point, and compare the active electronic tag energy level correspondence table established in step 2 to obtain the signal energy level of each active electronic tag at the target to be located, and The positioning area of each active electronic tag where the target is located, the positioning area of the active electronic tag is composed of three circles with the active electronic tag as the center and a radius of S=a/4, S=a/2 and S=a The division is composed of four regions corresponding to different signal energy levels; 步骤4:求步骤3得到的待定位目标所处的各主动电子标签定位区域的交集,若得到的交集不为空集,则以得到的交集区域作为待定位目标的定位区域,交集区域的几何中心为待定位目标的估计定位点;若得到的交集为空集,则进入步骤5;Step 4: Find the intersection of each active electronic tag positioning area where the target to be located is obtained in step 3. If the obtained intersection is not an empty set, then use the obtained intersection area as the positioning area of the target to be located. The geometry of the intersection area The center is the estimated positioning point of the target to be positioned; if the obtained intersection is an empty set, go to step 5; 步骤5:在步骤3得到的各主动电子标签在待定位目标处的信号能量级别中,选取具有相同信号能量级别的主动电子标签,并求取每组具有相同信号能量级别的主动电子标签的定位区域的交集,得到k组交集为空的主动电子标签和l组交集不为空的主动电子标签;Step 5: From the signal energy levels of the active electronic tags obtained in step 3 at the target to be located, select active electronic tags with the same signal energy level, and calculate the positioning of each group of active electronic tags with the same signal energy level The intersection of the regions, the active electronic tags whose k group intersection is empty and the l group whose intersection is not empty active electronic tags are obtained; 步骤6:求l组交集不为空的主动电子标签的定位区域的交集为Ω;将k组交集为空的主动电子标签中的每个主动电子标签的定位区域与Ω分别求交集,得到W个交集区域,其中W为k组交集为空的主动电子标签的个数,将W个交集区域中的空集去除后得到w个非空区域,则待定位目标的估计定位点坐标其中Pi为w个非空区域中的第i个非空区域的几何中心,Ai为w个非空区域中的第i个非空区域的面积。Step 6: Find the intersection of the positioning areas of the active electronic tags whose intersection set l is not empty is Ω; find the intersection of the positioning area of each active electronic tag in the active electronic tags whose intersection set k is empty and Ω respectively, and obtain W intersection areas, where W is the number of k groups of active electronic tags whose intersections are empty, and w non-empty areas are obtained after removing the empty sets in the W intersection areas, then the estimated positioning point coordinates of the target to be located Where P i is the geometric center of the i-th non-empty area among the w non-empty areas, and A i is the area of the i-th non-empty area among the w non-empty areas.
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