CN106793078B - Bluetooth indoor positioning method based on RSSI correction value dual positioning - Google Patents
Bluetooth indoor positioning method based on RSSI correction value dual positioning Download PDFInfo
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- G—PHYSICS
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- G01S5/00—Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
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Abstract
本发明公开了一种基于RSSI修正值双重定位的蓝牙室内定位方法,其方案是:1.采集各个iBeacon节点收到其他iBeacon节点的接收信号强度值并对其修正,得到iBeacon节点接收信号强度值修正矩阵;2.根据该修正矩阵计算各个节点到其他节点的距离矩阵;3.由距离矩阵估计各节点的坐标值得到坐标误差;4.采集待定位节点收到iBeacon节点接收信号强度值并对其修正,得到待定位节点信号强度修正矩阵;5.根据该修正矩阵得到待定位节点到其他iBeacon节点的距离矩阵,进而得到待定位节点的坐标估计值;6.由步骤3和步骤5的结果得到待定位节点的最终坐标。本发明定位精度高,可用于养老院和智慧社区。
The invention discloses a bluetooth indoor positioning method based on dual positioning of RSSI correction value. The scheme is as follows: 1. Collect the received signal strength values received by each iBeacon node from other iBeacon nodes and correct them to obtain the received signal strength values of the iBeacon nodes Correction matrix; 2. Calculate the distance matrix from each node to other nodes according to the correction matrix; 3. Estimate the coordinate value of each node from the distance matrix to obtain the coordinate error; 4. Collect the received signal strength value of the iBeacon node received by the node to be positioned and compare Its correction obtains the signal strength correction matrix of the node to be located; 5. Obtains the distance matrix from the node to be located to other iBeacon nodes according to the correction matrix, and then obtains the estimated coordinate value of the node to be located; 6. The result of step 3 and step 5 Get the final coordinates of the node to be located. The invention has high positioning accuracy and can be used in nursing homes and smart communities.
Description
技术领域technical field
本发明属于通信技术领域,特别涉及一种蓝牙室内定位方法,可用于商场、养老院、智慧社区及消防场所。The invention belongs to the technical field of communication, and in particular relates to a Bluetooth indoor positioning method, which can be used in shopping malls, nursing homes, smart communities and fire places.
背景技术Background technique
随着物联网社会的迅速发展,传感智能设备以其低功耗、自组织、布局方便等优点越来越被广泛应用于智慧社会中,并且室内定位已成为物联网社会的重要支撑领域,而基于蓝牙iBeacon的室内定位技术以其独特的优越性将成为室内定位的热点之一。With the rapid development of the Internet of Things society, sensing smart devices are more and more widely used in the smart society due to their advantages of low power consumption, self-organization, and convenient layout, and indoor positioning has become an important supporting field of the Internet of Things society. The indoor positioning technology based on Bluetooth iBeacon will become one of the hotspots of indoor positioning due to its unique advantages.
目前基于蓝牙的室内定位算法主要有基于信号传输时间的算法TOA、基于信号传输时间差的算法TDOA、基于信号到达角度的算法AOA、基于接收信号强度值RSSI的算法和单质心算法,其中:At present, the indoor positioning algorithms based on Bluetooth mainly include the algorithm TOA based on the signal transmission time, the algorithm TDOA based on the signal transmission time difference, the algorithm AOA based on the signal angle of arrival, the algorithm based on the received signal strength value RSSI and the single centroid algorithm, among which:
TOA算法,由于室内环境空间相对狭小,信号的传播受到障碍物的干扰会带来传播时间的时延,并且会产生时延的叠加,同时此算法要求定位节点和参考节点之间的时钟精准同步,对硬件的要求很高,系统的复杂性和成本的投入较大,导致实用性较低。TOA algorithm, because the indoor environment space is relatively narrow, the signal propagation will be delayed by the interference of obstacles, and the superposition of time delay will occur. At the same time, this algorithm requires precise synchronization of the clock between the positioning node and the reference node , the hardware requirements are very high, and the complexity and cost of the system are relatively large, resulting in low practicability.
TDOA算法,是TOA算法的改进,此算法不是直接利用信号到达参考节点的绝对时间,而是利用信号到达两个参考节点的时间差来确定定位节点的位置,因此不需要参考节点和定位节点之间的时钟精准同步,只需要参考节点之间的时钟同步即可,该算法虽然降低了时钟同步的要求,但是精度较低。The TDOA algorithm is an improvement of the TOA algorithm. This algorithm does not directly use the absolute time when the signal arrives at the reference node, but uses the time difference between the signal arrival at two reference nodes to determine the position of the positioning node, so there is no need for a link between the reference node and the positioning node. The precise synchronization of clocks only needs to be synchronized between reference nodes. Although this algorithm reduces the requirements for clock synchronization, its accuracy is low.
AOA算法,此算法需要在节点上安装天线矩阵来获得角度信息,但是由于大部分节点的天线都是全向的,无法区分信号来自于哪个方向,并且在蓝牙节点上安装天线需要特殊的硬件设备,如天线阵列,导致蓝牙节点在耗能、尺寸以及价格上都要超过普通的传感节点,与无线智能设备低成本和低功耗的特性相违背,所以实用性较差。AOA algorithm, this algorithm needs to install an antenna matrix on the node to obtain angle information, but because most of the antennas of the nodes are omnidirectional, it is impossible to distinguish which direction the signal comes from, and installing the antenna on the Bluetooth node requires special hardware equipment , such as antenna arrays, cause Bluetooth nodes to exceed ordinary sensor nodes in terms of energy consumption, size, and price, which is contrary to the characteristics of low cost and low power consumption of wireless smart devices, so the practicability is poor.
RSSI算法,该算法是通过获取接收信号强度值RSSI和距离之间的关系,得到距离和RSSI之间的模型,从而进行室内定位。但是由于室内环境下无线电信号自由衰减效应、信号吸收效应、非视距传播效应、多径效应、阴影效应造成了蓝牙信号的RSSI值随着距离的变化在做着剧烈变动,导致传统的基于接收信号强度值RSSI的定位算法存在的误差范围较大。但由于其对时钟处理的要求低,低成本,复杂度低,所以一般的室内定位算法都是基于RSSI展开。RSSI algorithm, this algorithm is to obtain the relationship between the received signal strength value RSSI and the distance, and obtain the model between the distance and the RSSI, so as to perform indoor positioning. However, due to the free attenuation effect, signal absorption effect, non-line-of-sight propagation effect, multipath effect, and shadow effect of the radio signal in the indoor environment, the RSSI value of the Bluetooth signal is changing drastically with the change of the distance, resulting in the traditional receiver-based The positioning algorithm of the signal strength value RSSI has a large error range. However, due to its low requirements for clock processing, low cost, and low complexity, general indoor positioning algorithms are based on RSSI.
单质心算法,是通过定位节点接收所有在其通信范围内的参考节点的信息,并将参考节点的几何质心作为自己的估计位置来定位,但是质心个数单一,离待定位节点较远处的参考节点的影响度较小,不能重点突出离待定位节点较远处的参考节点的贡献度大小,带来的误差较大,没有进一步提升定位精度。The single centroid algorithm is to receive the information of all reference nodes within its communication range through the positioning node, and use the geometric centroid of the reference node as its own estimated position to locate, but the number of centroids is single and far away from the node to be positioned The influence degree of the reference node is small, and the contribution degree of the reference node farther away from the node to be positioned cannot be highlighted, which brings about a large error and does not further improve the positioning accuracy.
发明内容Contents of the invention
本发明的目的在于针对以上现有技术的不足,提出一种基于RSSI修正值双重定位的蓝牙室内定位方法,以提高蓝牙iBeacon的室内定位精度。The object of the present invention is to address the above deficiencies in the prior art, and propose a Bluetooth indoor positioning method based on RSSI correction value dual positioning, so as to improve the indoor positioning accuracy of Bluetooth iBeacon.
为达到以上目的,本发明的技术方案包括如下:For achieving above object, technical scheme of the present invention comprises as follows:
(1)采集室内部署的各个iBeacon节点接收到的其他iBeacon节点的接收信号强度值,构成iBeacon节点信号强度矩阵R,并利用狄克逊检测法和高斯滤波算法对其进行修正,得到各个iBeacon节点的信号强度修正值,构成iBeacon节点信号强度修正矩阵R':(1) Collect the received signal strength values of other iBeacon nodes received by each iBeacon node deployed indoors to form an iBeacon node signal strength matrix R, and use the Dixon detection method and Gaussian filter algorithm to correct it to obtain each iBeacon node The signal strength correction value of the iBeacon node constitutes the signal strength correction matrix R':
其中:in:
i、j为iBeacon节点编号,n为iBeacon节点个数,i∈[1,n],j∈[1,n],n>3;i, j are iBeacon node numbers, n is the number of iBeacon nodes, i∈[1,n], j∈[1,n], n>3;
Rij=[Rij1 Rij2 Rij3 ... Rij30]是1×30维矩阵,表示第i个iBeacon节点收到第j个iBeacon节点发出的30组信号值;R ij =[R ij1 R ij2 R ij3 ... R ij30 ] is a 1×30-dimensional matrix, indicating that the i-th iBeacon node receives 30 sets of signal values sent by the j-th iBeacon node;
Rij'表示第i个iBeacon节点收到第j个iBeacon节点的信号强度修正值。R ij ' represents the correction value of the signal strength received by the i-th iBeacon node from the j-th iBeacon node.
(2)根据iBeacon节点信号强度修正矩阵R',利用对数距离路径损耗模型,得到iBeacon节点到其他iBeacon节点的距离值,构成iBeacon节点距离矩阵D:(2) According to the iBeacon node signal strength correction matrix R', using the logarithmic distance path loss model, the distance value from the iBeacon node to other iBeacon nodes is obtained to form the iBeacon node distance matrix D:
其中:Dij表示第i个iBeacon节点到第j个iBeacon节点的距离值,当i=j时,Dij=0。Where: D ij represents the distance value from the i-th iBeacon node to the j-th iBeacon node, when i=j, D ij =0.
(3)根据iBeacon节点距离矩阵D,采用多质心算法,得到各iBeacon节点坐标估计值Q(xi,yi),将Q(xi,yi)与各iBeacon节点的实际坐标e(vi,zi)比较,得误差点P(α,β);(3) According to the iBeacon node distance matrix D, the multi-centroid algorithm is used to obtain the estimated coordinate value Q (xi , y i ) of each iBeacon node, and the actual coordinates e(v i , z i ) comparison, get the error point P(α,β);
(4)采集待定位节点接收iBeacon节点发出的接收信号强度值,构成定位节点信号强度矩阵r,并利用狄克逊检测法和高斯滤波算法对其进行修正,得到待定位节点的强度修正值,构成待定位节点信号强度修正矩阵r':(4) Collect the received signal strength value sent by the node to be positioned to receive the iBeacon node to form the signal strength matrix r of the positioned node, and use the Dixon detection method and Gaussian filter algorithm to correct it to obtain the strength correction value of the node to be positioned. Constitute the signal strength correction matrix r' of the node to be located:
r=[r1 r2 r3 ... ri ... rn],r'=[r1' r2' r3' ... ri' ... rn']r=[r 1 r 2 r 3 ... r i ... r n ], r'=[r 1 ' r 2 ' r 3 ' ... r i ' ... r n ']
其中:in:
ri是1×30维矩阵,表示待定位节点收到第i个iBeacon节点发出的30组信号值;r i is a 1×30-dimensional matrix, indicating that the node to be positioned receives 30 sets of signal values sent by the i-th iBeacon node;
ri'表示待定位节点收到第i个iBeacon节点的信号强度修正值。r i ' represents the correction value of the signal strength received by the node to be positioned from the i-th iBeacon node.
(5)根据待定位节点信号强度修正矩阵r',利用对数距离路径损耗模型,得到待定位节点到其他iBeacon节点的距离值,构成待定位节点距离矩阵d:(5) According to the signal strength correction matrix r' of the node to be located, the logarithmic distance path loss model is used to obtain the distance value from the node to be located to other iBeacon nodes, and the distance matrix d of the node to be located is formed:
d=[d1 d2 d3 ... di ... dn]d=[d 1 d 2 d 3 ... d i ... d n ]
其中:di为待定位节点到第i个iBeacon节点的距离值。Among them: d i is the distance value from the node to be positioned to the i-th iBeacon node.
(6)根据待定位节点距离矩阵d,采用多质心算法,得到待定位节点的坐标估计值W(x,y);(6) According to the distance matrix d of the node to be located, the multi-centroid algorithm is used to obtain the estimated coordinate value W(x, y) of the node to be located;
(7)根据坐标估计值W(x,y)和误差点P(α,β),得到待定位节点的最终坐标为:W(x+α,y+β)。(7) According to the estimated coordinate value W(x, y) and the error point P(α, β), the final coordinate of the node to be positioned is: W(x+α, y+β).
本发明相对现有技术主要优点在于:The main advantage of the present invention relative to prior art is:
第一,与现有的前期预处理相比,本发明由于对前期的波动较大的接收信号强度值进行狄克逊检测算法的处理,剔除抖动剧烈的接收信号强度值,然后对保留的数据采用高斯滤波处理,最大限度地保留了抖动较小的接收信号强度值。First, compared with the existing preprocessing in the previous stage, the present invention processes the Dixon detection algorithm on the received signal strength values with large fluctuations in the early stage, eliminates the received signal strength values with severe jitter, and then performs the processing on the retained data Gaussian filtering is used to preserve the received signal strength value with less jitter to the greatest extent.
第二,与现有路径损耗模型相比,本发明由于根据大量实验数据,给出最佳环境系数参考范围,不仅实现简单,而且选择的系数更加适用于室内环境。Second, compared with the existing path loss model, the present invention provides the best environmental coefficient reference range based on a large amount of experimental data, which is not only simple to implement, but also the selected coefficients are more suitable for indoor environments.
第三,与现有定位算法相比,本发明由于采用双重定位算法,分别计算出系统的坐标误差和待定位节点的估计坐标,故可根据坐标误差和待定位节点的估计坐标,计算出待定位节点的最终坐标。Thirdly, compared with the existing positioning algorithm, the present invention calculates the coordinate error of the system and the estimated coordinate of the node to be positioned due to the dual positioning algorithm, so it can calculate the coordinate error of the system and the estimated coordinate of the node to be positioned according to the coordinate error The final coordinates of the bit node.
第四,与现有定位算法相比,本发明由于将距离待定位节点较远的iBeacon节点分组,求出其质心后,把质心应用到距离待定位节点较近的iBeacon节点组内,再求取质心,使得定位精度进一步提高,同时可避免适应度随着环境中iBeacon节点的状态变化而改变。Fourth, compared with the existing positioning algorithm, the present invention groups iBeacon nodes far away from the node to be positioned, after finding its centroid, applies the centroid to the group of iBeacon nodes that are closer to the node to be positioned, and then calculates The center of mass is taken to further improve the positioning accuracy, and at the same time, it can prevent the fitness from changing with the state of the iBeacon node in the environment.
附图说明Description of drawings
图1是本发明的实现流程图;Fig. 1 is the realization flowchart of the present invention;
图2是本发明与现有单质心算法的定位效果对比图。Fig. 2 is a comparison diagram of positioning effects between the present invention and the existing single centroid algorithm.
具体实施方式Detailed ways
参照图1,本发明的基于RSSI修正值双重定位的蓝牙室内定位方法,其具体实现步骤如下:With reference to Fig. 1, the bluetooth indoor positioning method based on RSSI correction value dual positioning of the present invention, its specific implementation steps are as follows:
步骤1,构建iBeacon节点信号强度矩阵R。Step 1, construct the iBeacon node signal strength matrix R.
将室内环境以正六边形划分成若干区域,在区域的各个顶点处放置一个iBeacon节点,共放置n个iBeacon节点,每个iBeacon节点周期性地广播自身编号、自身坐标和接收信号强度值,采集各个iBeacon节点接收到的其他iBeacon节点的接收信号强度值,构成iBeacon节点信号强度矩阵R:Divide the indoor environment into several areas with regular hexagons, place an iBeacon node at each vertex of the area, place a total of n iBeacon nodes, each iBeacon node periodically broadcasts its own number, its own coordinates and received signal strength values, and collects The received signal strength values of other iBeacon nodes received by each iBeacon node form the iBeacon node signal strength matrix R:
其中:i、j为iBeacon节点编号,n为iBeacon节点个数,i∈[1,n],j∈[1,n],n>3;Where: i, j are iBeacon node numbers, n is the number of iBeacon nodes, i∈[1,n], j∈[1,n], n>3;
Rij=[Rij1 Rij2 Rij3 ... Rij30]是1×30维矩阵,表示第i个iBeacon节点收到第j个iBeacon节点发出的30组信号值。R ij =[R ij1 R ij2 R ij3 ... R ij30 ] is a 1×30-dimensional matrix, indicating that the i-th iBeacon node receives 30 sets of signal values sent by the j-th iBeacon node.
步骤2,对iBeacon节点信号强度矩阵R进行修正,得到iBeacon节点狄克逊矩阵R*。In step 2, the iBeacon node signal strength matrix R is corrected to obtain the iBeacon node Dixon matrix R * .
2a)采用狄克逊检测法剔除每个iBeacon节点接收到的来自其他iBeacon节点发来的30组信号值中变化剧烈的接收信号强度值,将第i个iBeacon节点接收到来自第j个iBeacon节点的30组接收信号强度值按从小到大的顺序排列,依次为Rij1,Rij2,...,Rij30;2a) Use the Dixon detection method to eliminate the received signal strength value of the 30 sets of signal values received by each iBeacon node from other iBeacon nodes, and receive the i-th iBeacon node The 30 groups of received signal strength values are arranged in ascending order, which are R ij1 , R ij2 , ...,R ij30 ;
2b)确定异常值检测的检出水平为a=0.02,确定狄克逊检验临界值M(a,n);2b) Determine the detection level of outlier detection as a=0.02, and determine the Dixon test critical value M(a,n);
2c)根据狄克逊检验法统计公式,计算iBeacon节点最高端的异常值G和iBeacon节点最低端异常值G':2c) According to the statistical formula of the Dixon test method, calculate the abnormal value G of the highest end of the iBeacon node and the abnormal value G' of the lowest end of the iBeacon node:
2d)将iBeacon节点最高端异常值G和iBeacon节点最低端异常值G'与临界值M(a,n)进行比较:2d) Compare the highest-end outlier G of the iBeacon node and the lowest-end outlier G' of the iBeacon node with the critical value M(a,n):
如果G>M(a,n)或者G'>M(a,n),则剔除该异常值相对应的接收信号强度值RijN;If G>M(a,n) or G'>M(a,n), then remove the received signal strength value R ijN corresponding to the abnormal value;
如果G≤M(a,n)或者G'≤M(a,n),则保留该异常值相对应的接收信号强度值RijN,执行2e),N为30组信号值的编号;If G≤M(a,n) or G'≤M(a,n), then retain the received signal strength value R ijN corresponding to the abnormal value, and execute 2e), where N is the number of 30 sets of signal values;
2e)对保留的接收信号强度值重新排序,重复步骤2a)-2d),直到所有变化剧烈的接收信号强度值被剔除,并将最终保留的值作为狄克逊检测算法的输出,构成iBeacon节点狄克逊矩阵R*:2e) Reorder the retained RSSI values, repeat steps 2a)-2d), until all RSSI values with drastic changes are eliminated, and use the final retained values as the output of the Dixon detection algorithm to form an iBeacon node Dixon matrix R * :
其中:in:
R* ij=[R* ij1 R* ij2 R* ij3 ... R* ijM]是1×M维矩阵,M是30组信号值中经过狄克逊检测算法后保留的信号值个数,R* ij表示第i个iBeacon节点收到第j个iBeacon节点发出的30组信号值中经过狄克逊检测算法后保留的信号值矩阵;R * ij =[R * ij1 R * ij2 R * ij3 ... R * ijM ] is a 1×M dimensional matrix, M is the number of signal values retained after the Dixon detection algorithm among the 30 groups of signal values, R * ij represents the signal value matrix retained after the Dixon detection algorithm among the 30 sets of signal values sent by the i-th iBeacon node received by the j-th iBeacon node;
步骤3,对iBeacon节点狄克逊矩阵R*进行修正,得到iBeacon节点信号强度修正矩阵R'。In step 3, the iBeacon node Dixon matrix R * is corrected to obtain the iBeacon node signal strength correction matrix R'.
3a)对iBeacon节点狄克逊矩阵R*进行高斯滤波,得到iBeacon节点高斯矩阵R”;3a) Perform Gaussian filtering on the iBeacon node Dixon matrix R * to obtain the iBeacon node Gaussian matrix R";
3b)对iBeacon节点高斯矩阵R”的各元素矩阵取算术平均值,得到各个iBeacon节点的接收信号强度修正值,构成iBeacon节点信号强度修正矩阵R':3b) Take the arithmetic mean value of each element matrix of the Gaussian matrix R" of the iBeacon node, and obtain the received signal strength correction value of each iBeacon node, and form the iBeacon node signal strength correction matrix R':
其中:Rij'表示第i个iBeacon节点收到第j个iBeacon节点的信号强度修正值。Where: R ij ' represents the correction value of the signal strength received by the i-th iBeacon node from the j-th iBeacon node.
步骤4,构建iBeacon节点距离矩阵D。Step 4, construct the iBeacon node distance matrix D.
4a)建立接收信号强度修正值到iBeacon节点之间距离的路径损耗关系式:4a) Establish the path loss relationship between the received signal strength correction value and the distance between iBeacon nodes:
其中:in:
Rij'表示第i个iBeacon节点收到第j个iBeacon节点的信号强度修正值;R ij 'indicates that the i-th iBeacon node receives the signal strength correction value of the j-th iBeacon node;
q0表示两个iBeacon节点间距离L0=1米时的参考信号强度修正值;q 0 represents the reference signal strength correction value when the distance L 0 =1 meter between two iBeacon nodes;
Dij表示第i个iBeacon节点到第j个iBeacon节点的距离值,当i=j时,Dij=0;D ij represents the distance value from the i-th iBeacon node to the j-th iBeacon node, when i=j, D ij =0;
xε和u为环境参数,表示空间环境的影响程度,xε是距离iBeacon节点1米处接收到的平均功率的绝对值,u为路径损耗因子,xε最佳参考范围为41-47,u最佳参考范围为2.15-4.3;x ε and u are environmental parameters, indicating the degree of influence of the space environment, x ε is the absolute value of the average power received at a distance of 1 meter from the iBeacon node, u is the path loss factor, and the best reference range of x ε is 41-47, u The best reference range is 2.15-4.3;
4b)将步骤4a)的路径损耗关系式转换成如下形式:4b) Convert the path loss relational expression of step 4a) into the following form:
4c)根据步骤4b)得出各个iBeacon节点到其他所有iBeacon节点距离矩阵D:4c) According to step 4b), the distance matrix D from each iBeacon node to all other iBeacon nodes is obtained:
步骤5,计算各iBeacon节点的坐标估计值Q(xi,yi)。Step 5, calculate the estimated coordinate value Q( xi , y i ) of each iBeacon node.
5a)将第i个iBeacon节点到第j个iBeacon节点的距离值Dij按从小到大的顺序排序,得到距离集合:Di1,Di2,Di3,...Dij,...,Din,其中Di1<Di2<Di3<...<Dij<...<Din;5a) Sort the distance values D ij from the i-th iBeacon node to the j-th iBeacon node in ascending order to obtain the distance set: D i1 , D i2 , D i3 ,...D ij ,..., D in , where D i1 <D i2 <D i3 <...<D ij <...<D in ;
5b)用距离集合内的每个元素减去最小值Di1,得出差值集合:5b) Subtract the minimum value D i1 from each element in the distance set to obtain the difference set:
0,ΔDi1,ΔDi2,ΔDi3,...,ΔDij,...,ΔDin;0,ΔD i1 ,ΔD i2 ,ΔD i3 ,...,ΔD ij ,...,ΔD in ;
5c)计算差值集合中各元素的平均值 5c) Calculate the average value of each element in the difference set
其中:ΔDij=Dij-Di1,表示第i个iBeacon节点到第j个iBeacon节点之间的距离值Dij与最小值Di1的差值;Among them: ΔD ij =D ij -D i1 , indicating the difference between the distance value D ij and the minimum value D i1 between the i-th iBeacon node and the j-th iBeacon node;
5d)将iBeacon节点分别分成的集合A和的集合B,设在集合B内有m个节点,并把集合B中相差最接近的3个iBeacon节点分成一组,共分成m-2组,计算每组的质心,其坐标(xk,yk):5d) Divide iBeacon nodes into The set A of and The set B of the set B, assuming that there are m nodes in the set B, and divide the three iBeacon nodes with the closest difference in the set B into a group, and divide them into m-2 groups in total, calculate the centroid of each group, and its coordinates (x k , y k ):
其中:k∈[1,m-2],(xk1,yk1)、(xk2,yk2)、(xk3,yk3)是每组中的3个iBeacon节点坐标;Where: k∈[1,m-2], (x k1 ,y k1 ), (x k2 ,y k2 ), (x k3 ,y k3 ) are the coordinates of 3 iBeacon nodes in each group;
5e)将步骤5d)得到的质心重新视为新加入的iBeacon节点,再将m-2个质心点和集合A内的n-m个iBeacon节点构成多边形,采用质心算法计算这个多边形的质心,得到第i个iBeacon节点估计坐标Q(xi,yi)。5e) Reconsider the centroid obtained in step 5d) as a newly added iBeacon node, and then form a polygon with m-2 centroid points and nm iBeacon nodes in set A, and use the centroid algorithm to calculate the centroid of this polygon to obtain the i-th iBeacon nodes estimate the coordinates Q( xi ,y i ).
步骤6,计算误差点P(α,β)。Step 6, calculate the error point P(α,β).
根据第i个iBeacon节点的实际坐标e(vi,zi)和估计坐标Q(xi,yi),计算误差点P的横坐标和纵坐标:Calculate the abscissa and ordinate of the error point P according to the actual coordinates e(v i , zi ) and estimated coordinates Q( xi , y i ) of the i-th iBeacon node:
得到误差点 get error points
步骤7,构建待定位节点信号强度矩阵r。Step 7: Construct the signal strength matrix r of the nodes to be located.
将室内环境以正六边形划分成若干区域,在区域的各个顶点处放置一个iBeacon节点,共放置n个iBeacon节点,每个iBeacon节点周期性地广播自身编号、自身坐标和接收信号强度值,采集待定位节点接收iBeacon节点发出的接收信号强度值,构成待定位节点信号强度矩阵r:Divide the indoor environment into several areas with regular hexagons, place an iBeacon node at each vertex of the area, place a total of n iBeacon nodes, each iBeacon node periodically broadcasts its own number, its own coordinates and received signal strength values, and collects The node to be positioned receives the received signal strength value sent by the iBeacon node to form the signal strength matrix r of the node to be positioned:
r=[r1 r2 r3 ... ri ... rn]r=[r 1 r 2 r 3 ... r i ... r n ]
其中:ri是1×30维矩阵,表示待定位节点收到第i个iBeacon节点发出的30组信号值;Among them: r i is a 1×30 dimensional matrix, indicating that the node to be positioned receives 30 sets of signal values sent by the i-th iBeacon node;
步骤8,对待定位节点信号强度矩阵r进行修正,得到待定位节点狄克逊矩阵r*。Step 8: Correct the signal strength matrix r of the node to be located to obtain the Dixon matrix r * of the node to be located.
8a)采用狄克逊检测法剔除待定位节点接收到的来自其他iBeacon节点发来的30组信号值中变化剧烈的接收信号强度值,将待定位节点接收到来自第i个iBeacon节点的30组接收信号强度值按从小到大的顺序排列,依次为ri1,ri2,...,ri30;8a) Use the Dixon detection method to eliminate the received signal strength values that change drastically among the 30 sets of signal values received by the node to be located from other iBeacon nodes, and receive the 30 sets of signal values from the i-th iBeacon node to the node to be located. The received signal strength values are arranged in ascending order, r i1 , r i2 ,...,r i30 ;
8b)根据狄克逊检验法统计公式,算出待定位节点最高端异常值g和待定位节点最低端异常值g':8b) According to the statistical formula of the Dixon test method, calculate the highest outlier g of the node to be located and the lowest outlier g' of the node to be located:
8c)将待定位节点最高端异常值g和待定位节点最低端异常值g'与临界值M(a,n)进行比较:8c) Compare the highest outlier g of the node to be located and the lowest outlier g' of the node to be located with the critical value M(a,n):
如果g>M(a,n)或者g'>M(a,n),则剔除该异常值相对应的接收信号强度值riN;If g>M(a,n) or g'>M(a,n), then remove the received signal strength value r iN corresponding to the abnormal value;
如果g≤M(a,n)或者g'≤M(a,n),则保留该异常值相对应的接收信号强度值riN,执行8d),N为30组信号值的编号;If g≤M(a,n) or g'≤M(a,n), then retain the received signal strength value r iN corresponding to the abnormal value, and execute 8d), where N is the number of 30 sets of signal values;
8d)对保留的接收信号强度值重新排序,重复步骤8a)-8c),直到所有变化剧烈的接收信号强度值被剔除,并将最终保留的值作为狄克逊检测算法的输出,构成待定位节点狄克逊矩阵r*:8d) Reorder the reserved received signal strength values, and repeat steps 8a)-8c), until all received signal strength values with drastic changes are eliminated, and the final reserved values are used as the output of the Dixon detection algorithm to constitute the location-to-be Node Dixon matrix r * :
r*=[r1 * r2 * r3 * ... ri * ... rn *]r * = [r 1 * r 2 * r 3 * ... r i * ... r n * ]
其中:ri *=[r* i1 r* i2 r* i3 ... r* iM]是1×M维矩阵,M是30组信号值中经过狄克逊检测算法后保留的信号值个数,ri *表示待定位节点收到第i个iBeacon节点发出的30组信号值中经过狄克逊检测算法后保留的信号值矩阵。Among them: r i * =[r * i1 r * i2 r * i3 ... r * iM ] is a 1×M dimensional matrix, and M is the number of signal values retained after the Dixon detection algorithm among the 30 groups of signal values , r i * represents the signal value matrix retained after the Dixon detection algorithm among the 30 sets of signal values sent by the i-th iBeacon node received by the node to be located.
步骤9,对待定位节点狄克逊矩阵r*进行修正,得到待定位节点信号强度修正矩阵r′。Step 9: Modify the Dixon matrix r * of the node to be located to obtain the signal strength correction matrix r' of the node to be located.
9a)采用高斯滤波对待定位节点狄克逊矩阵r*进行处理,得到待定位节点高斯矩阵r″;9a) using Gaussian filtering to process the Dixon matrix r * of the node to be positioned to obtain the Gaussian matrix r″ of the node to be positioned;
9b)对待定位节点高斯矩阵r”的各元素矩阵取算术平均值,得到待定位节点的接收信号强度修正值,构成待定位节点信号强度修正矩阵r':9b) Take the arithmetic mean value of each element matrix of the Gaussian matrix r" of the node to be positioned to obtain the correction value of the received signal strength of the node to be positioned, and form the signal strength correction matrix r' of the node to be positioned:
r'=[r1' r2' r3' ... ri' ... rn']r'=[r 1 ' r 2 ' r 3 ' ... r i ' ... r n ']
其中:ri'表示待定位节点收到第i个iBeacon节点的信号强度修正值。Among them: r i ' represents the correction value of the signal strength received by the i-th iBeacon node received by the node to be positioned.
步骤10,构建待定位节点距离矩阵d。Step 10, construct the distance matrix d of the nodes to be located.
10a)建立接收信号强度修正值到待定位节点与第i个iBeacon节点距离的路径损耗关系式:10a) Establish the path loss relationship between the received signal strength correction value and the distance between the node to be positioned and the i-th iBeacon node:
其中:in:
ri'表示待定位节点收到第i个iBeacon节点的信号强度修正值;r i 'represents the signal strength correction value received by the node to be positioned from the i-th iBeacon node;
q1表示待定位节点和iBeacon节点间距离L0=1米时的参考信号强度修正值;q 1 represents the reference signal strength correction value when the distance between the node to be positioned and the iBeacon node is L 0 =1 meter;
di为待定位节点到第i个iBeacon节点的距离值。d i is the distance value from the node to be positioned to the i-th iBeacon node.
10b)将步骤10a)的路径损耗关系式转换成如下形式:10b) convert the path loss relational expression of step 10a) into the following form:
10c)根据步骤10b)得出待定位节点到其他所有iBeacon节点距离矩阵d:10c) According to step 10b), obtain the distance matrix d from the node to be positioned to all other iBeacon nodes:
d=[d1 d2 d3 ... di ... dn]d=[d 1 d 2 d 3 ... d i ... d n ]
步骤11,计算待定位节点的坐标估计值W(x,y)。Step 11, calculate the estimated coordinate value W(x, y) of the node to be located.
11a)将待定位节点到第i个iBeacon节点的距离值di按从小到大的顺序排序,得到待定位距离集合:dε={d1,d2,d3,...,di,...,dn},其中d1<d2<d3<...<di<...<dn;11a) Sort the distance value d i from the node to be positioned to the i-th iBeacon node in ascending order to obtain a set of distances to be positioned: d ε ={d 1 ,d 2 ,d 3 ,...,d i ,...,d n }, where d 1 <d 2 <d 3 <...<d i <...<d n ;
11b)用待定位距离集合dε内的每个元素减去最小值d1,得出待定位差值集合dε':11b) Subtract the minimum value d 1 from each element in the distance set d ε to be positioned to obtain the difference set d ε ' to be positioned:
dε'={0,Δd1,Δd2,Δd3,...,Δdi,...,Δdn},d ε '={0,Δd 1 ,Δd 2 ,Δd 3 ,...,Δd i ,...,Δd n },
其中:Δdi=di-d1,其表示待定位节点到第i个iBeacon节点的距离值di与最小值d1的差值;Among them: Δd i = d i -d 1 , which represents the difference between the distance value d i from the node to be positioned to the i-th iBeacon node and the minimum value d 1 ;
11c)计算待定位差值集合dε'中各元素的平均值 11c) Calculate the average value of each element in the difference set d ε ' to be positioned
11d)将iBeacon节点分别分成两个集合,即的集合C1和的集合C2,设在集合C2内有z个节点,把集合C2中相差最接近的3个iBeacon节点分成一组,共分成z-2组,计算每组的质心,其坐标(xL,yL)为:11d) Divide the iBeacon nodes into two sets respectively, namely The set C 1 of and Set C 2 , assuming that there are z nodes in the set C 2 , divide the three iBeacon nodes with the closest difference in the set C 2 into a group, and divide them into z-2 groups. Calculate the centroid of each group, and its coordinates (x L ,y L ) is:
其中:L∈[1,z-2],(xL1,yL1)、(xL2,yL2)、(xL3,yL3)是每组中的3个iBeacon节点坐标。Where: L∈[1,z-2], (x L1 ,y L1 ), (x L2 ,y L2 ), (x L3 ,y L3 ) are the coordinates of the three iBeacon nodes in each group.
11e)将步骤11d)得到的质心重新视为新加入的iBeacon节点,再将z-2个质心点和集合C1内的n-z个iBeacon节点构成多边形,采用质心算法计算这个多边形的质心,得到待定位节点的估计坐标W(x,y)。11e) Reconsider the centroid obtained in step 11d) as a newly added iBeacon node, and then form a polygon with z-2 centroid points and nz iBeacon nodes in the set C 1 , and use the centroid algorithm to calculate the centroid of the polygon to obtain Estimated coordinates W(x,y) of bit nodes.
步骤12,计算待定位节点的最终坐标W(x+α,y+β)。Step 12, calculate the final coordinate W(x+α, y+β) of the node to be positioned.
根据步骤11得到的待定位节点的估计坐标W(x,y)和步骤6得到的误差点P的横坐标α和纵坐标β,计算得到待定位节点的最终坐标为:According to the estimated coordinates W(x, y) of the node to be positioned obtained in step 11 and the abscissa α and ordinate β of the error point P obtained in step 6, the final coordinates of the node to be positioned are calculated as:
下面结合仿真实验,对本发明的定位效果做进一步分析。In the following, the positioning effect of the present invention will be further analyzed in combination with simulation experiments.
1.实验条件1. Experimental conditions
本实验在50*50米的室内环境下布置16个iBeacon节点,10个待定位节点。In this experiment, 16 iBeacon nodes and 10 nodes to be positioned are arranged in an indoor environment of 50*50 meters.
2.实验内容2. Experimental content
用本发明方法和现有单质心算法分别对上述10个待定位节点进行测试,得到待定位节点的坐标值,结果如图2。Using the method of the present invention and the existing single-centroid algorithm to test the above-mentioned 10 nodes to be positioned respectively, the coordinate values of the nodes to be positioned are obtained, and the result is shown in Fig. 2 .
从图2可见,本发明测得待定位节点的坐标值与待定位节点的实际坐标值对比,其定位精度误差最大值为2.413米,最小值为0.75米,平均值为1.59米。现有质心算法测得待定位节点的坐标值与待定位节点的实际坐标值对比,其定位精度误差最大值为4.089米,最小值为1.56米,平均值为2.75米。As can be seen from Fig. 2, the coordinate value of the node to be positioned measured by the present invention is compared with the actual coordinate value of the node to be positioned, the maximum value of the positioning accuracy error is 2.413 meters, the minimum value is 0.75 meters, and the average value is 1.59 meters. Comparing the coordinates of the nodes to be positioned by the existing centroid algorithm with the actual coordinates of the nodes to be positioned, the maximum error of the positioning accuracy is 4.089 meters, the minimum is 1.56 meters, and the average is 2.75 meters.
实验表明:本发明将定位精度提高了25%-35%,在室内定位中具有较大的优势。Experiments show that the present invention improves the positioning accuracy by 25%-35%, and has great advantages in indoor positioning.
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