CN107222925A - A kind of node positioning method based on cluster optimization - Google Patents

A kind of node positioning method based on cluster optimization Download PDF

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CN107222925A
CN107222925A CN201710640245.4A CN201710640245A CN107222925A CN 107222925 A CN107222925 A CN 107222925A CN 201710640245 A CN201710640245 A CN 201710640245A CN 107222925 A CN107222925 A CN 107222925A
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positioning
node
locset
beaconing nodes
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刘广聪
刘铮
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Guangdong University of Technology
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W64/00Locating users or terminals or network equipment for network management purposes, e.g. mobility management
    • H04W64/006Locating users or terminals or network equipment for network management purposes, e.g. mobility management with additional information processing, e.g. for direction or speed determination

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Abstract

本发明公开了一种基于聚类优化的节点定位方法,该方法包括:在网络中任意选择三个信标节点作为信标节点组合,得到个信标节点组合,并判断每个信标节点组合是否满足共线度阈值,将满足共线度阈值的信标节点组合添加到容器ColSet;对容器ColSet中的每个信标节点组合,判断信标节点组合是否通过PIT测试,将不能通过PIT测试的信标节点组合从容器ColSet中剔除;采用信标节点组合中的三个信标节点对未知节点进行初步定位估计,将初步定位估计结果添加到定位候选集LocSet;采用聚类算法对定位候选集LocSet进行聚类优化,将数据点归类并去除定位候选集LocSet中的噪声数据点,寻找最大核心数据点簇,确定未知节点的估计位置坐标。该方法实现提高定位准确性。

The invention discloses a node positioning method based on clustering optimization, which includes: randomly selecting three beacon nodes in the network as a combination of beacon nodes, and obtaining Beacon node combinations, and determine whether each beacon node combination meets the collinearity threshold, and add the beacon node combination that meets the collinearity threshold to the container ColSet; for each beacon node combination in the container ColSet, judge Whether the combination of beacon nodes passes the PIT test, remove the combination of beacon nodes that cannot pass the PIT test from the container ColSet; use the three beacon nodes in the combination of beacon nodes to perform preliminary positioning estimation on unknown nodes, and the preliminary positioning estimation results Add it to the positioning candidate set LocSet; use clustering algorithm to cluster and optimize the positioning candidate set LocSet, classify the data points and remove the noise data points in the positioning candidate set LocSet, find the largest core data point cluster, and determine the estimation of unknown nodes Position coordinates. This method achieves improved positioning accuracy.

Description

一种基于聚类优化的节点定位方法A Node Location Method Based on Clustering Optimization

技术领域technical field

本发明涉及无线定位技术领域,特别是涉及一种基于聚类优化的节点定位方法。The invention relates to the technical field of wireless positioning, in particular to a node positioning method based on clustering optimization.

背景技术Background technique

近年来,随着物联网发展的推进,无线传感器网络得到了非常广泛的应用,比如在智能家居、工业控制、智能交通、智慧城市、医疗卫生、军事国防等。无线传感器网络也正在改变我们的生活,并逐渐成为我们生活中不可或缺的一部分。在无线传感器网络中,我们有时需要与网络上的监控对象进行交互,为了便于对监控对象采取相应的措施,需要监控对象所在的物理位置。如果监控对象的位置不明确,则与此相关的研究工作可能是毫无意义的。因此,在无线传感器网络系统中,定位是一项基本的重要功能。In recent years, with the development of the Internet of Things, wireless sensor networks have been widely used, such as in smart home, industrial control, intelligent transportation, smart city, medical and health, military and national defense, etc. Wireless sensor networks are also changing our lives and gradually becoming an integral part of our lives. In the wireless sensor network, we sometimes need to interact with the monitoring objects on the network. In order to take corresponding measures for the monitoring objects, we need the physical location of the monitoring objects. If the location of the monitored object is not clear, research work related to this may be meaningless. Therefore, positioning is a basic and important function in a wireless sensor network system.

无线传感器网络中节点定位技术是目前研究的热点问题之一,当前的定位算法大致可以分为两大类,一类基于测距的定位算法,另一类基于非测距的定位算法。这两类算法各有优缺点,第一类算法主要以距离测量作为基础,通过三边测量法或极大似然估计法等方法对未知节点进行定位;其优点是定位误差较小、定位准确度较高,但其缺点是对节点的硬件要求较高,增加网络的成本。第二类算法由于与距离无关,对传感器节点的硬件要求相对较低,同时也降低了全网的成本,但定位精度不如第一类算法。由于无线传感器网络中对定位精度的要求通常与应用有关,所以通常根据不同的应用采取不同的定位算法。Node positioning technology in wireless sensor networks is one of the hot research issues at present. The current positioning algorithms can be roughly divided into two categories, one is based on ranging and the other is based on non-ranging. These two types of algorithms have their own advantages and disadvantages. The first type of algorithm is mainly based on distance measurement, and uses trilateration or maximum likelihood estimation methods to locate unknown nodes; its advantages are small positioning errors and accurate positioning. The degree is higher, but its disadvantage is that it has higher requirements on the hardware of the nodes and increases the cost of the network. Since the second type of algorithm has nothing to do with distance, the hardware requirements for sensor nodes are relatively low, and the cost of the entire network is also reduced, but the positioning accuracy is not as good as the first type of algorithm. Since the requirements for positioning accuracy in wireless sensor networks are usually related to applications, different positioning algorithms are usually adopted according to different applications.

在大规模无线传感器网络中,考虑到经济成本、节点硬件简单性等特点,在该网络上大多采用的是基于非测距的定位算法,其中,DV-Hop节点定位算法受到了许多学者的格外关注。由于DV-Hop算法在定位上存在许多不足之处,DV-Hop(Distance Vector-Hop)定位算法是类似于网络中距离向量路由机制的一种与距离无关的分布式定位算法。利用距离向量定位机制实现未知节点与信标节点间的最小跳数,再通过最小跳数估算平均每一跳的距离,然后通过最小跳数与平均每跳距离之积求得未知节点与信标节点间的估计距离值,最后借助极大似然估计法或三边测量法计算未知节点的坐标位置。然而采用DV-Hop算法进行定位仍存在定位噪声点,定位效果较低,存在误差偏多,如此定位准确性不高。In large-scale wireless sensor networks, considering the characteristics of economic cost and the simplicity of node hardware, most of the positioning algorithms based on non-ranging are used on the network. Among them, the DV-Hop node positioning algorithm has received special attention from many scholars. focus on. Because DV-Hop algorithm has many deficiencies in positioning, DV-Hop (Distance Vector-Hop) positioning algorithm is a distance-independent distributed positioning algorithm similar to the distance vector routing mechanism in the network. Use the distance vector positioning mechanism to realize the minimum number of hops between the unknown node and the beacon node, then estimate the average distance of each hop through the minimum number of hops, and then calculate the distance between the unknown node and the beacon node through the product of the minimum number of hops and the average distance per hop Finally, calculate the coordinate position of the unknown node with the help of maximum likelihood estimation method or trilateration method. However, there are still positioning noise points in the positioning using the DV-Hop algorithm, the positioning effect is low, and there are many errors, so the positioning accuracy is not high.

发明内容Contents of the invention

本发明的目的是提供一种基于聚类优化的节点定位方法,以实现提高定位准确性。The purpose of the present invention is to provide a node positioning method based on cluster optimization, so as to improve the positioning accuracy.

为解决上述技术问题,本发明提供一种基于聚类优化的节点定位方法,该方法包括:In order to solve the above-mentioned technical problems, the present invention provides a node location method based on clustering optimization, the method comprising:

在网络中任意选择三个信标节点作为信标节点组合,得到Cm 3个信标节点组合,并判断每个信标节点组合是否满足共线度阈值,将满足共线度阈值的信标节点组合添加到容器ColSet;其中,m是网络中信标节点的个数;In the network, three beacon nodes are arbitrarily selected as beacon node combinations, and C m 3 beacon node combinations are obtained, and it is judged whether each beacon node combination satisfies the collinearity threshold, and the beacons that meet the collinearity threshold The node combination is added to the container ColSet; among them, m is the number of beacon nodes in the network;

对容器ColSet中的每个信标节点组合,判断信标节点组合是否通过PIT测试,将不能通过PIT测试的信标节点组合从容器ColSet中剔除;For each beacon node combination in the container ColSet, determine whether the beacon node combination passes the PIT test, and remove the beacon node combination that cannot pass the PIT test from the container ColSet;

对容器ColSet中的每个信标节点组合,采用信标节点组合中的三个信标节点对未知节点进行初步定位估计,将初步定位估计结果添加到定位候选集LocSet;For each beacon node combination in the container ColSet, use three beacon nodes in the beacon node combination to perform preliminary location estimation on unknown nodes, and add the preliminary location estimation results to the location candidate set LocSet;

采用聚类算法对定位候选集LocSet进行聚类优化,将数据点归类并去除定位候选集LocSet中的噪声数据点,寻找最大核心数据点簇,确定未知节点的估计位置坐标。The clustering algorithm is used to cluster and optimize the positioning candidate set LocSet, classify the data points and remove the noise data points in the positioning candidate set LocSet, find the largest core data point cluster, and determine the estimated position coordinates of unknown nodes.

优选的,所述对容器ColSet中的每个信标节点组合,采用信标节点组合中的三个信标节点对未知节点进行初步定位估计,将初步定位估计结果添加到定位候选集LocSet,包括:Preferably, for each combination of beacon nodes in the container ColSet, three beacon nodes in the combination of beacon nodes are used to perform preliminary positioning estimation on unknown nodes, and the preliminary positioning estimation results are added to the positioning candidate set LocSet, including :

对于信标节点组合中的三个信标节点,使用加权平均跳距方法估计未知节点与任意两个信标节点之间的距离;For the three beacon nodes in the beacon node combination, the weighted average hop distance method is used to estimate the distance between the unknown node and any two beacon nodes;

通过信标三角形与未知节点的未知关系,利用三角形性质计算未知节点与信标节点组合中剩余的一个信标节点之间的距离,借助三边测量法对未知节点进行初步位置估计;Through the unknown relationship between the beacon triangle and the unknown node, the triangle property is used to calculate the distance between the unknown node and the remaining beacon node in the combination of beacon nodes, and the preliminary position estimation of the unknown node is carried out by means of trilateration;

通过容器ColSet中的每个信标节点组合对未知节点进行三次的初步定位估计,将每一次的初步定位估计结果添加到未知节点的定位候选集LocSet中。Through each beacon node combination in the container ColSet, the unknown node is estimated three times for preliminary location estimation, and each preliminary location estimation result is added to the location candidate set LocSet of the unknown node.

优选的,所述将不能通过PIT测试的信标节点组合从容器ColSet中剔除之后,还包括:Preferably, after removing the combination of beacon nodes that cannot pass the PIT test from the container ColSet, it further includes:

更新容器ColSet。Update container ColSet.

优选的,所述聚类算法包括DBSCAN聚类算法。Preferably, the clustering algorithm includes DBSCAN clustering algorithm.

优选的,所述采用聚类算法对定位候选集LocSet进行聚类优化,将数据点归类并去除定位候选集LocSet中的噪声数据点,寻找最大核心数据点簇,确定未知节点的估计位置坐标,包括:Preferably, the clustering algorithm is used to cluster and optimize the positioning candidate set LocSet, classify the data points and remove the noise data points in the positioning candidate set LocSet, find the largest core data point cluster, and determine the estimated position coordinates of the unknown nodes ,include:

在定位候选集LocSet上运行DBSCAN聚类算法,将密度可达的数据点归为一类,同时去除LocSet中的噪声点,获得去除噪声数据点之后的一个或多个类簇;Run the DBSCAN clustering algorithm on the location candidate set LocSet, classify the data points with reachable density into one category, remove the noise points in the LocSet at the same time, and obtain one or more clusters after removing the noise data points;

从获取的类簇中查找到最大的类簇,求取所述最大的类簇的平均值,将所述平均值作为未知节点的最终位置坐标。The largest cluster is found from the obtained clusters, the average value of the largest cluster is calculated, and the average value is used as the final position coordinate of the unknown node.

优选的,所述在定位候选集LocSet上运行DBSCAN聚类算法之前,还包括:Preferably, before the DBSCAN clustering algorithm is run on the positioning candidate set LocSet, it also includes:

设置DBSCAN算法中的数据点密度阈值参数Minpts;Set the data point density threshold parameter Minpts in the DBSCAN algorithm;

依据数据点密度阈值参数Minpts和定位候选集LocSet建立K-dist图,确定DBSCAN算法中的数据点领域半径参数Eps;Establish the K-dist graph according to the data point density threshold parameter Minpts and the location candidate set LocSet, and determine the data point field radius parameter Eps in the DBSCAN algorithm;

将Minpts、Eps和LocSet作为DBSCAN算法运行前的输入值。Use Minpts, Eps and LocSet as the input values before the DBSCAN algorithm runs.

优选的,所述PIT测试为最佳三角形内点测试。Preferably, the PIT test is a best triangle interior point test.

本发明所提供的一种基于聚类优化的节点定位方法,在网络中任意选择三个信标节点作为信标节点组合,得到个信标节点组合,并判断每个信标节点组合是否满足共线度阈值,将满足共线度阈值的信标节点组合添加到容器ColSet;其中,m是网络中信标节点的个数;对容器ColSet中的每个信标节点组合,判断信标节点组合是否通过PIT测试,将不能通过PIT测试的信标节点组合从容器ColSet中剔除;对容器ColSet中的每个信标节点组合,采用信标节点组合中的三个信标节点对未知节点进行初步定位估计,将初步定位估计结果添加到定位候选集LocSet;采用聚类算法对定位候选集LocSet进行聚类优化,将数据点归类并去除定位候选集LocSet中的噪声数据点,寻找最大核心数据点簇,确定未知节点的估计位置坐标。可见,相对传统DV-Hop定位算法,本方法首先运用共线度判别法和最佳三角形内点测试法筛选参与定位的信标节点组,其次估计未知节点与任意两个信标节点的距离,计算出未知节点与剩余信标节点的距离,然后对未知节点进行初步定位估计,每组信标节点都可以产生对未知节点的三次初步定位估计,将每次的初步定位估计结果添加到定位候选集,最后借助聚类算法对定位候选集进行优化,将定位噪声点去除,留下定位核心数据点,求出未知节点最佳可能的位置,本方法比DV-Hop定位算法定位效果更优,降低了误差,提高了定位的准确性。In the node positioning method based on clustering optimization provided by the present invention, three beacon nodes are arbitrarily selected as the combination of beacon nodes in the network, and the obtained Beacon node combinations, and determine whether each beacon node combination meets the collinearity threshold, and add the beacon node combination that meets the collinearity threshold to the container ColSet; where m is the number of beacon nodes in the network; For each beacon node combination in the container ColSet, determine whether the beacon node combination passes the PIT test, and remove the beacon node combination that cannot pass the PIT test from the container ColSet; for each beacon node combination in the container ColSet, use The three beacon nodes in the beacon node combination perform preliminary positioning estimation on unknown nodes, and add the preliminary positioning estimation results to the positioning candidate set LocSet; use clustering algorithm to cluster and optimize the positioning candidate set LocSet, and classify the data points And remove the noise data points in the positioning candidate set LocSet, find the largest cluster of core data points, and determine the estimated position coordinates of unknown nodes. It can be seen that compared with the traditional DV-Hop positioning algorithm, this method first uses the collinearity discrimination method and the best triangle interior point test method to screen the beacon node groups participating in the positioning, and then estimates the distance between the unknown node and any two beacon nodes. Calculate the distance between the unknown node and the remaining beacon nodes, and then perform a preliminary positioning estimate for the unknown node. Each group of beacon nodes can generate three preliminary positioning estimates for the unknown node, and add each preliminary positioning estimation result to the positioning candidate Finally, the clustering algorithm is used to optimize the positioning candidate set, remove the positioning noise points, leave the positioning core data points, and find the best possible position of the unknown node. This method has a better positioning effect than the DV-Hop positioning algorithm. The error is reduced and the positioning accuracy is improved.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据提供的附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only It is an embodiment of the present invention, and those skilled in the art can also obtain other drawings according to the provided drawings without creative work.

图1为本发明所提供的一种基于聚类优化的节点定位方法的流程图;Fig. 1 is a flow chart of a node location method based on cluster optimization provided by the present invention;

图2为基于DBSCAN聚类优化的DV-Hop定位算法流程图;Figure 2 is a flow chart of DV-Hop positioning algorithm based on DBSCAN clustering optimization;

图3(a)是本发明方法中信标节点占比对平均定位误差的影响仿真图;Fig. 3 (a) is the simulation diagram of the impact of the proportion of beacon nodes on the average positioning error in the method of the present invention;

图3(b)是本发明方法中点通信半径对平均定位误差的影响仿真图;Fig. 3 (b) is the emulation diagram of the impact of the point communication radius on the average positioning error in the method of the present invention;

图3(c)是本发明方法中节点总数对平均定位误差的影响仿真图。Fig. 3(c) is a simulation diagram of the influence of the total number of nodes on the average positioning error in the method of the present invention.

具体实施方式detailed description

本发明的核心是提供一种基于聚类优化的节点定位方法,以实现提高定位准确性。The core of the present invention is to provide a node positioning method based on clustering optimization, so as to improve the positioning accuracy.

为了使本技术领域的人员更好地理解本发明方案,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to enable those skilled in the art to better understand the solutions of the present invention, the following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only It is a part of embodiments of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

请参考图1,图1为本发明所提供的一种基于聚类优化的节点定位方法的流程图,该方法包括:Please refer to Fig. 1, Fig. 1 is the flowchart of a kind of node localization method based on clustering optimization provided by the present invention, and this method comprises:

S11:在网络中任意选择三个信标节点作为信标节点组合,得到Cm 3个信标节点组合,并判断每个信标节点组合是否满足共线度阈值,将满足共线度阈值的信标节点组合添加到容器ColSet;S11: Randomly select three beacon nodes in the network as beacon node combinations, obtain C m 3 beacon node combinations, and judge whether each beacon node combination satisfies the collinearity threshold, and will satisfy the collinearity threshold The combination of beacon nodes is added to the container ColSet;

其中,m是网络中信标节点的个数;Among them, m is the number of beacon nodes in the network;

S12:对容器ColSet中的每个信标节点组合,判断信标节点组合是否通过PIT测试,将不能通过PIT测试的信标节点组合从容器ColSet中剔除;S12: For each beacon node combination in the container ColSet, determine whether the beacon node combination passes the PIT test, and remove the beacon node combination that cannot pass the PIT test from the container ColSet;

S13:对容器ColSet中的每个信标节点组合,采用信标节点组合中的三个信标节点对未知节点进行初步定位估计,将初步定位估计结果添加到定位候选集LocSet;S13: For each beacon node combination in the container ColSet, use three beacon nodes in the beacon node combination to perform preliminary location estimation on the unknown node, and add the preliminary location estimation result to the location candidate set LocSet;

S14:采用聚类算法对定位候选集LocSet进行聚类优化,将数据点归类并去除定位候选集LocSet中的噪声数据点,寻找最大核心数据点簇,确定未知节点的估计位置坐标。S14: Use a clustering algorithm to cluster and optimize the location candidate set LocSet, classify data points and remove noise data points in the location candidate set LocSet, find the largest core data point cluster, and determine the estimated position coordinates of unknown nodes.

可见,相对传统DV-Hop定位算法,本方法首先运用共线度判别法和最佳三角形内点测试法筛选参与定位的信标节点组,其次估计未知节点与任意两个信标节点的距离,计算出未知节点与剩余信标节点的距离,然后对未知节点进行初步定位估计,每组信标节点都可以产生对未知节点的三次初步定位估计,将每次的初步定位估计结果添加到定位候选集,最后借助聚类算法对定位候选集进行优化,将定位噪声点去除,留下定位核心数据点,求出未知节点最佳可能的位置,本方法比DV-Hop定位算法定位效果更优,降低了误差,提高了定位的准确性。It can be seen that compared with the traditional DV-Hop positioning algorithm, this method first uses the collinearity discrimination method and the best triangle interior point test method to screen the beacon node groups participating in the positioning, and then estimates the distance between the unknown node and any two beacon nodes. Calculate the distance between the unknown node and the remaining beacon nodes, and then perform a preliminary positioning estimate for the unknown node. Each group of beacon nodes can generate three preliminary positioning estimates for the unknown node, and add each preliminary positioning estimation result to the positioning candidate Finally, the clustering algorithm is used to optimize the positioning candidate set, remove the positioning noise points, leave the positioning core data points, and find the best possible position of the unknown node. This method has a better positioning effect than the DV-Hop positioning algorithm. The error is reduced and the positioning accuracy is improved.

基于上述方法,进一步的,步骤S13具体包括以下步骤:Based on the above method, further, step S13 specifically includes the following steps:

S21:对于信标节点组合中的三个信标节点,使用加权平均跳距方法估计未知节点与任意两个信标节点之间的距离;S21: For the three beacon nodes in the beacon node combination, use the weighted average hop distance method to estimate the distance between the unknown node and any two beacon nodes;

S22:通过信标三角形与未知节点的未知关系,利用三角形性质计算未知节点与信标节点组合中剩余的一个信标节点之间的距离,借助三边测量法对未知节点进行初步位置估计;S22: through the unknown relationship between the beacon triangle and the unknown node, use the triangle property to calculate the distance between the unknown node and the remaining beacon node in the combination of beacon nodes, and use the trilateration method to estimate the initial position of the unknown node;

S23:通过容器ColSet中的每个信标节点组合对未知节点进行三次的初步定位估计,将每一次的初步定位估计结果添加到未知节点的定位候选集LocSet中。S23: Perform three preliminary location estimates on the unknown node through each combination of beacon nodes in the container ColSet, and add each preliminary location estimation result to the location candidate set LocSet of the unknown node.

进一步的,步骤S12中,将不能通过PIT测试的信标节点组合从容器ColSet中剔除之后,还包括:更新容器ColSet。Further, in step S12, after removing the combination of beacon nodes that cannot pass the PIT test from the container ColSet, the method further includes: updating the container ColSet.

详细的,所述聚类算法包括DBSCAN聚类算法。In detail, the clustering algorithm includes a DBSCAN clustering algorithm.

进一步的,步骤S14包括以下步骤:Further, step S14 includes the following steps:

S31:在定位候选集LocSet上运行DBSCAN聚类算法,将密度可达的数据点归为一类,同时去除LocSet中的噪声点,获得去除噪声数据点之后的一个或多个类簇;S31: Run the DBSCAN clustering algorithm on the positioning candidate set LocSet, classify the data points with reachable density into one category, remove the noise points in the LocSet at the same time, and obtain one or more clusters after removing the noise data points;

S32:从获取的类簇中查找到最大的类簇,求取所述最大的类簇的平均值,将所述平均值作为未知节点的最终位置坐标。S32: Find the largest cluster from the obtained clusters, calculate the average value of the largest cluster, and use the average value as the final position coordinate of the unknown node.

其中,步骤S31之前还包括:设置DBSCAN算法中的数据点密度阈值参数Minpts;依据数据点密度阈值参数Minpts和定位候选集LocSet建立K-dist图,确定DBSCAN算法中的数据点领域半径参数Eps;将Minpts、Eps和LocSet作为DBSCAN算法运行前的输入值。Wherein, before the step S31, it also includes: setting the data point density threshold parameter Minpts in the DBSCAN algorithm; establishing a K-dist graph according to the data point density threshold parameter Minpts and the positioning candidate set LocSet, and determining the data point field radius parameter Eps in the DBSCAN algorithm; Use Minpts, Eps and LocSet as the input values before the DBSCAN algorithm runs.

其中,信标节点也称为锚节点或参考节点,该类节点的特点是位置信息已知,之所以位置信息已知是因为该类节点具有GPS定位模块或者是人工预设的方式确定该节点的自身位置信息而不需要通过其他途径再去对此节点进行定位获得。Among them, the beacon node is also called an anchor node or a reference node. The characteristic of this type of node is that the location information is known. The reason why the location information is known is that this type of node has a GPS positioning module or is determined by a manual preset method. The self-location information of the node does not need to be obtained by positioning the node through other means.

其中,平均跳距为在整个网络中,任意两个节点之间的估计距离之和与节点间跳数总和的比值,称为整个网络的平均跳距,根据不同的跳距计算规则获得的两节点间的平均跳距可能不尽相同。Among them, the average hop distance is the ratio of the sum of the estimated distance between any two nodes to the sum of the number of hops between nodes in the entire network, which is called the average hop distance of the entire network. The two obtained according to different hop distance calculation rules The average hop distance between nodes may vary.

其中,所述PIT测试为最佳三角形内点测试。最佳三角形内点测试首先利用网络中相对节点密度较高的区域来模拟节点的移动以求得未知节点是否在任意三个信标节点确定的三角形内,如果未知节点在三角形内部,则计算所有满足该未知节点在多组三个信标节点确定的三角形区域的重叠部分,然后求得多边形重叠部分中的质心作为未知节点的估计位置。假设部署网络中有n个信标节点,那么共有中不同的选取方法,在中不同的选取中依次测试未知节点是否在每个三角形内部,重复该操作直到满足定位所需精度或穷尽所有可能的组合。Wherein, the PIT test is the best triangle interior point test. The best triangle inner point test first uses the area with relatively high node density in the network to simulate the movement of nodes to find out whether the unknown node is in the triangle determined by any three beacon nodes. If the unknown node is inside the triangle, calculate all Satisfy the overlapping part of the unknown node in the triangular area determined by multiple groups of three beacon nodes, and then obtain the centroid in the polygonal overlapping part as the estimated position of the unknown node. Assuming that there are n beacon nodes in the deployment network, then there are Different selection methods in Test whether the unknown node is inside each triangle in different selections in turn, and repeat this operation until the accuracy required for positioning is met or all possible combinations are exhausted.

具体的,在已知数据集和Minpts之下,通过计算求出每个数据点与第k个最近数据点之间的距离,然后对此进行由小到大排序,这个过程就是建立k-dist图。Minpts的取值是通过一种启发式方法来确定,一般为了减少计算量,事先将Minpts取为4比较合适。为了计算方便,将Minpts的值取值为4,对LocSet建立k-dist图,从而确定参数Eps的值,将Minpts、Eps和LocSet作为聚类算法DBSCAN运行前的输入值。Specifically, under the known data set and Minpts, the distance between each data point and the kth nearest data point is calculated by calculation, and then sorted from small to large. This process is to establish k-dist picture. The value of Minpts is determined by a heuristic method. Generally, in order to reduce the amount of calculation, it is more appropriate to set Minpts to 4 in advance. For the convenience of calculation, the value of Minpts is set to 4, and the k-dist graph is established for LocSet to determine the value of parameter Eps, and Minpts, Eps and LocSet are used as the input values before the clustering algorithm DBSCAN runs.

k-dist图的具体建立步骤如下:The specific steps to create a k-dist graph are as follows:

(1)计算每个数据点与其他数据点的距离,构建大小为N×N的距离矩阵distn,矩阵的每一行都代表一个数据点与其他数据点的距离;(1) Calculate the distance between each data point and other data points, construct a distance matrix distn with a size of N×N, and each row of the matrix represents the distance between a data point and other data points;

(2)对距离矩阵distn的每一行找出最小值,然后将一个无穷大替换之,而距离矩阵的其他数据均保持不变;(2) Find the minimum value for each row of the distance matrix distn, and then replace it with an infinity, while other data of the distance matrix remain unchanged;

(3)转至步骤(2)继续执行,直到找到每个数据点的第k个最近距离为止,也即执行步骤2的次数为k+1次,因为第一次执行步骤2时,找到的最小距离是数据点与其自身的距离,全都是0的数据;(3) Go to step (2) and continue until the kth closest distance of each data point is found, that is, the number of times step 2 is executed is k+1 times, because when step 2 is executed for the first time, the found The minimum distance is the distance between the data point and itself, all of which are 0 data;

(4)得到所有数据点第k个最近距离之后,将这些数据从小到大排序,x轴为数据点序,y轴为第k个最近距离值。(4) After obtaining the k-th closest distance of all data points, sort the data from small to large, the x-axis is the sequence of data points, and the y-axis is the k-th closest distance value.

更详细的,采用DBSCAN聚类算法对定位候选集进行优化,将数据点归类并去除定位候选集LocSet中的噪声数据点的具体步骤为:In more detail, the DBSCAN clustering algorithm is used to optimize the location candidate set, and the specific steps to classify the data points and remove the noise data points in the location candidate set LocSet are as follows:

1、首先确定Minpts的值,然后选择每个数据点的第k个近邻数据点的距离,建立k-dist图,通过对k-dist图的观察,寻找到曲线图中凹陷对应的距离值作为Eps的值;1. First determine the value of Minpts, and then select the distance of the kth neighbor data point of each data point to establish a k-dist graph. By observing the k-dist graph, find the distance value corresponding to the depression in the graph as Eps value;

2、从数据集中任意选择一个不属于任何簇的数据点作为簇标号C建立的起点,然后对该数据点进行Eps领域内的查询和统计,判断统计的数量与Minpts比较,若大于或等于Minpts,则说明该数据点是核心数据点,将它领域内的所有数据点同时标记相同类型的簇标号C,接着把该数据点Eps领域内的核心数据点添加到容器list中;若小于Minpts,暂时标记为噪声数据点;2. Randomly select a data point that does not belong to any cluster from the data set as the starting point for the establishment of the cluster label C, and then perform query and statistics on the data point in the Eps field, and compare the number of judgment statistics with Minpts. If it is greater than or equal to Minpts , it means that the data point is a core data point, and all data points in its field are marked with the same type of cluster label C, and then the core data points in the field of the data point Eps are added to the container list; if less than Minpts, temporally labeled as noisy data points;

3、从容器list中取出一个数据点,然后查询并统计该数据点的Eps领域内的数据点,将该领域内所有的数据点标记C,最后,把该领域内的核心数据点添加到容器list中;3. Take a data point from the container list, then query and count the data points in the Eps field of the data point, mark all the data points in the field with C, and finally add the core data points in the field to the container list;

4、重复步骤3,如此这般,不断扩大簇C直到没有新的数据点被标记为C,此时,簇C已完全建立,下一步继续选择其他可能的簇类。转到步骤1继续执行;4. Repeat step 3, and so on, continue to expand cluster C until no new data point is marked as C. At this time, cluster C has been completely established, and the next step is to continue to select other possible clusters. Go to step 1 to continue;

5、当找不到不属于任何簇的数据点,同时所有数据点都以试探过,则剩余的不在任何一个簇中的数据点,均已被标记为噪声数据点。5. When no data points that do not belong to any cluster can be found, and all data points have been tested, the remaining data points that do not belong to any cluster have been marked as noise data points.

可见,本发明采用基于密度聚类优化的改进策略,首先对传统DV-Hop定位算法采用加权方式改进平均跳距,运用共线度判别法和最佳三角形内点测试法筛选参与定位的信标节点组,其次估计未知节点与任意两个信标节点的距离,利用三角形性质,计算出未知节点与剩余信标节点的距离,然后利用三边测量法对未知节点进行初步定位估计,每组信标节点都可以产生对未知节点的三次初步定位估计,将每次的初步定位估计结果添加到定位候选集,并且借助DBSCAN聚类算法对定位候选集进行优化,将定位噪声点去除,留下定位核心数据点,求出未知节点最佳可能的位置,本方法比DV-Hop定位算法定位效果更优,降低了误差,提高了定位的准确性。It can be seen that the present invention adopts an improved strategy based on density clustering optimization. First, the traditional DV-Hop positioning algorithm adopts a weighted method to improve the average jump distance, and uses the collinearity discrimination method and the best triangle interior point test method to screen the beacons participating in the positioning. secondly, estimate the distance between the unknown node and any two beacon nodes, use the triangle property to calculate the distance between the unknown node and the remaining beacon nodes, and then use the trilateration method to estimate the initial location of the unknown node. Each target node can generate three preliminary positioning estimates for unknown nodes, add each preliminary positioning estimation result to the positioning candidate set, and use the DBSCAN clustering algorithm to optimize the positioning candidate set, remove the positioning noise points, and leave the positioning The core data points are used to find the best possible position of the unknown node. This method has a better positioning effect than the DV-Hop positioning algorithm, reduces the error, and improves the positioning accuracy.

本方法在部署网络中通过改进型的DV-Hop定位算法获得对未知节点的定位候选集LocSet,利用基于密度的聚类算法DBSCAN对其进行聚类优化,寻找最大核心数据点簇,进而确定未知节点的估计位置坐标。In this method, the improved DV-Hop positioning algorithm is used to obtain the positioning candidate set LocSet for the unknown node in the deployment network, and the density-based clustering algorithm DBSCAN is used to cluster and optimize it to find the largest core data point cluster, and then determine the unknown node. The estimated location coordinates of the node.

图2为基于DBSCAN聚类优化的DV-Hop定位算法流程图,详细的,DV-Hop定位算法过程分为三个步骤:Figure 2 is a flowchart of the DV-Hop positioning algorithm based on DBSCAN clustering optimization. In detail, the DV-Hop positioning algorithm process is divided into three steps:

第一步的目的是使连通网络中的每一个节点都记录着与各信标节点之间的最小跳数信息和各信标节点的位置信息。为了实现该目的,首先每个信标节点通过可控的洪泛机制向整个网络广播自身的定位信标数据包。数据包中的信息量包含时间戳、信标节点序号、当前跳数值h以及信标节点自身位置(x,y),当前跳数值h的字段初始值为零。接着,当其邻居节点接收到了该数据包后,与当前保存的数据包进行对比分析,以便决定是否对该节点之前保存的数据包中的数据进行更新保存,使节点随时保存当前情况下最优的数据包中记录,该记录此时当前的跳数值最小,且所需时间也最短,然后再转发给周围的邻居节点,在转发之前,先修改当前的跳数信息字段值,使其该字段值加一。经过如此连续转发之后,连通网络中的每一个节点都将获得上述两种关键信息。The purpose of the first step is to make each node in the connected network record the minimum hop number information with each beacon node and the location information of each beacon node. In order to achieve this goal, firstly, each beacon node broadcasts its own positioning beacon data packet to the entire network through a controllable flooding mechanism. The amount of information in the data packet includes the timestamp, the serial number of the beacon node, the current hop value h, and the position (x, y) of the beacon node itself. The initial value of the field of the current hop value h is zero. Then, when its neighbor node receives the data packet, it compares and analyzes it with the currently saved data packet, so as to decide whether to update and save the data in the data packet previously saved by the node, so that the node can save the optimal data in the current situation at any time. The record in the data packet, the current hop value of the record is the smallest, and the required time is also the shortest, and then forwarded to the surrounding neighbor nodes, before forwarding, first modify the value of the current hop information field so that value plus one. After such continuous forwarding, each node in the connected network will obtain the above two key information.

第二步需完成计算未知节点与各信标节点间的估计距离。首先估算信标节点的平均跳距:The second step is to calculate the estimated distance between the unknown node and each beacon node. First estimate the average hop distance of the beacon node:

其中,(xi,yi)、(xj,yj)是信标节点i和j的坐标,hij是信标节点间i、j的最小跳数值。Among them, (x i , y i ), (x j , y j ) are the coordinates of beacon nodes i and j, and h ij is the minimum hop value between beacon nodes i and j.

然后在每个信标节点都获得了自身的平均跳距之后,通过可控的洪泛机制向周围邻居节点发送其平均跳距信息,未知节点只保存离其最近的信标节点的平均跳距信息。然后,未知节点利用该信息计算与信标节点间的估计距离:Then, after each beacon node obtains its own average hop distance, it sends its average hop distance information to surrounding neighbor nodes through a controllable flooding mechanism, and the unknown node only saves the average hop distance of the nearest beacon node information. The unknown node then uses this information to calculate an estimated distance to the beacon node:

di=hi·hopsized i =h i ·hopsize

其中,hi表示未知节点到信标节点i间的最小跳数值,di表示未知节点与信标节点i的估计距离,Hopsize值是离未知节点最近的信标节点的平均跳距。Among them, h i represents the minimum hop value between the unknown node and the beacon node i, d i represents the estimated distance between the unknown node and the beacon node i, and the Hopsize value is the average hop distance of the beacon node closest to the unknown node.

第三步将实现未知节点的定位。当未知节点通过算法的第二步获得多个例如3个或3个以上估计距离值之后,运用三边测量法或极大似然估计法计算出未知节点的估计坐标。The third step will realize the localization of unknown nodes. After the unknown node obtains multiple estimated distance values such as 3 or more through the second step of the algorithm, the estimated coordinates of the unknown node are calculated by using the trilateration method or the maximum likelihood estimation method.

具体的,本发明借助DBSCAN聚类算法对定位候选集进行优化,将定位噪声点去除,留下定位核心数据点,DBSCAN聚类算法是将能够相互密度相连的所有的数据点归为一个簇,整个数据集可能最终会产生一个或多个簇,或许也包含不在任何一个簇的噪声数据点。Specifically, the present invention uses the DBSCAN clustering algorithm to optimize the positioning candidate set, removes the positioning noise points, and leaves the positioning core data points. The DBSCAN clustering algorithm is to classify all data points that can be connected to each other in a cluster. The entire dataset may end up with one or more clusters, and may also contain noisy data points that are not in any of the clusters.

本发明提出在部署网络中通过改进型的DV-Hop定位算法获得对未知节点的定位候选集,利用基于密度的聚类算法DBSCAN对其进行聚类优化,寻找最大核心数据点簇,进而确定未知节点的估计位置坐标。The present invention proposes to obtain the positioning candidate set for the unknown node through the improved DV-Hop positioning algorithm in the deployment network, and use the density-based clustering algorithm DBSCAN to cluster and optimize it to find the largest core data point cluster, and then determine the unknown nodes. The estimated location coordinates of the node.

本方法中,在传统的DV-Hop对未知节点平均跳距加权处理之后,再利用未知节点与信标三角形之间的拓扑关系,对原有的定位过程进行调整,基于两条估计边对未知节点进行定位估计,形成改进型的DV-Hop定位算法(An Improved DV-Hop LocalizationAlgorithm,简称IDV-Hop)。由于可以在三个信标节点中任意选择两个信标节点运用改进型的DV-Hop定位算法对未知节点进行定位,所以在网络上每三个信标节点可能组成一组,而其中的每组信标节点都可以对未知节点进行三次初步定位估计,于是最大可能的初步定位估计次数为其中m是网络中信标节点的总数,在这些初步定位估计之上运用聚类算法对此进行分析,求出未知节点最有可能出现的位置,这个过程就形成了基于聚类分析策略的改进型DV-Hop算法(An Improved DV-Hop Algorithm Based on Clustering Analysisof DBSCAN,简称IDV-HopCAD)。In this method, after the traditional DV-Hop weights the average hop distance of the unknown node, the topological relationship between the unknown node and the beacon triangle is used to adjust the original positioning process, and the unknown node is calculated based on two estimated edges. Perform location estimation to form an improved DV-Hop location algorithm (An Improved DV-Hop Localization Algorithm, referred to as IDV-Hop). Since two beacon nodes can be arbitrarily selected among the three beacon nodes to use the improved DV-Hop positioning algorithm to locate unknown nodes, every three beacon nodes on the network may form a group, and each of them All beacon nodes in the group can perform three preliminary positioning estimates on unknown nodes, so the maximum possible number of preliminary positioning estimates is Among them, m is the total number of beacon nodes in the network. Based on these preliminary positioning estimates, the clustering algorithm is used to analyze this, and the most likely position of the unknown node is obtained. This process forms an improved model based on the clustering analysis strategy. DV-Hop algorithm (An Improved DV-Hop Algorithm Based on Clustering Analysis of DBSCAN, referred to as IDV-HopCAD).

仿真结果如图3(a)、图3(b)和图3(c)所示,图3(a)是本发明方法中信标节点占比对平均定位误差的影响仿真图,图3(b)是本发明方法中点通信半径对平均定位误差的影响仿真图,图3(c)是本发明方法中节点总数对平均定位误差的影响仿真图,这些图是在MATLAB建立仿真模型,对DV-Hop算法和本文提出的改进算法进行对比分析的结果图,具体是在信标节点比例、节点通信半径和节点总数等因素下分别对三种算法的平均定位误差的影响进行实验,从图3(a)、图3(b)和图3(c)看出,本发明的基于聚类优化的节点定位算法与其余两种算法相比定位误差较小,定位效果更好。The simulation results are shown in Fig. 3(a), Fig. 3(b) and Fig. 3(c), Fig. 3(a) is a simulation diagram of the influence of the proportion of beacon nodes on the average positioning error in the method of the present invention, and Fig. 3(b ) is the simulation diagram of the influence of the communication radius of the middle point of the present invention on the average positioning error, and Fig. 3 (c) is the simulation diagram of the influence of the total number of nodes on the average positioning error in the method of the present invention, and these figures are simulation models established in MATLAB, for DV -Hop algorithm and the improved algorithm proposed in this paper are compared and analyzed. Specifically, the influence of the average positioning error of the three algorithms is tested under the factors such as the proportion of beacon nodes, the communication radius of nodes and the total number of nodes. From Figure 3 (a), Fig. 3(b) and Fig. 3(c), it can be seen that compared with the other two algorithms, the node positioning algorithm based on cluster optimization of the present invention has smaller positioning error and better positioning effect.

由于DV-Hop算法在定位上存在许多不足之处,本发明提出一种基于密度聚类优化的改进策略,首先对传统DV-Hop定位算法采用加权方式改进平均跳距,运用共线度判别法和最佳三角形内点测试法筛选参与定位的信标节点组,其次,估计未知节点与任意两个信标节点的距离,利用三角形性质,计算出未知节点与剩余信标节点的距离,然后利用三边测量法对未知节点进行初步定位估计,重复上述操作,每组信标节点都可以产生对未知节点的三次初步定位估计,将每次的初步定位估计结果添加到定位候选集,最后借助DBSCAN聚类算法对定位候选集进行优化,将定位噪声点去除,留下定位核心数据点,求出未知节点最佳可能的位置。通过MATLAB建立仿真模型,对DV-Hop算法和本发明提出的改进算法进行对比分析,仿真结果表明,基于密度聚类优化的定位算法比DV-Hop定位算法定位效果更优,降低了误差,提高了定位的准确性。Because the DV-Hop algorithm has many deficiencies in positioning, the present invention proposes an improvement strategy based on density clustering optimization. First, the traditional DV-Hop positioning algorithm is weighted to improve the average jump distance, and the collinearity discrimination method is used. and the best triangle interior point test method to screen the beacon node group participating in the positioning, secondly, estimate the distance between the unknown node and any two beacon nodes, use the triangle properties to calculate the distance between the unknown node and the remaining beacon nodes, and then use The trilateration method performs preliminary positioning estimation on unknown nodes, and repeats the above operations. Each group of beacon nodes can generate three preliminary positioning estimates for unknown nodes, and each preliminary positioning estimation result is added to the positioning candidate set. Finally, DBSCAN The clustering algorithm optimizes the positioning candidate set, removes the positioning noise points, leaves the positioning core data points, and finds the best possible position of the unknown node. Establish a simulation model by MATLAB, compare and analyze the DV-Hop algorithm and the improved algorithm proposed by the present invention, the simulation results show that the positioning algorithm based on density clustering optimization is better than the DV-Hop positioning algorithm positioning effect, reduces errors, and improves positioning accuracy.

以上对本发明所提供的一种基于聚类优化的节点定位方法进行了详细介绍。本文中应用了具体个例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想。应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,还可以对本发明进行若干改进和修饰,这些改进和修饰也落入本发明权利要求的保护范围内。A node location method based on cluster optimization provided by the present invention has been introduced in detail above. In this paper, specific examples are used to illustrate the principle and implementation of the present invention, and the descriptions of the above embodiments are only used to help understand the method and core idea of the present invention. It should be pointed out that for those skilled in the art, without departing from the principle of the present invention, some improvements and modifications can be made to the present invention, and these improvements and modifications also fall within the protection scope of the claims of the present invention.

Claims (7)

1. a kind of node positioning method based on cluster optimization, it is characterised in that including:
Arbitrarily three beaconing nodes of selection are combined as beaconing nodes in a network, are obtainedIndividual beaconing nodes combination, and judge Whether each beaconing nodes combination meets conllinear degree threshold value, and the beaconing nodes combination for meeting conllinear degree threshold value is added into container ColSet;Wherein, m is the number of beaconing nodes in network;
To each beaconing nodes combination in container ColSet, judge whether beaconing nodes combination is tested by PIT, it is impossible to logical The beaconing nodes for crossing PIT tests combine the rejecting from container ColSet;
To each beaconing nodes combination in container ColSet, three beaconing nodes in being combined using beaconing nodes are to unknown section Point carries out Primary Location estimation, and Primary Location estimated result is added into positioning Candidate Set LocSet;
Cluster optimization is carried out to positioning Candidate Set LocSet using clustering algorithm, data point is sorted out and positioning Candidate Set is removed Noise data point in LocSet, finds maximum kernel heart data points cluster, determines the estimated location coordinate of unknown node.
2. the method as described in claim 1, it is characterised in that each beaconing nodes combination in the ColSet to container, Three beaconing nodes in being combined using beaconing nodes carry out Primary Location estimation to unknown node, by Primary Location estimated result It is added to positioning Candidate Set LocSet, including:
Three beaconing nodes in being combined for beaconing nodes, are jumped using weighted average and estimate unknown node and any two away from method The distance between individual beaconing nodes;
By beacon triangle and the unknown relation of unknown node, unknown node and beaconing nodes group are calculated using triangular nature The distance between remaining beaconing nodes in conjunction, rough location estimation is carried out by trilateration to unknown node;
The Primary Location that three times are carried out to unknown node by the combination of each beaconing nodes in container ColSet estimates, will be each Secondary Primary Location estimated result is added in the positioning Candidate Set LocSet of unknown node.
3. the method as described in claim 1, it is characterised in that the beaconing nodes combination that will not pass through PIT tests from After being rejected in container ColSet, in addition to:
More new container ColSet.
4. the method as described in claim 1, it is characterised in that the clustering algorithm includes DBSCAN clustering algorithms.
5. method as claimed in claim 4, it is characterised in that the use clustering algorithm is carried out to positioning Candidate Set LocSet Cluster optimization, data point is sorted out and the noise data point in positioning Candidate Set LocSet is removed, maximum kernel calculation strong point is found Cluster, determines the estimated location coordinate of unknown node, including:
DBSCAN clustering algorithms are run on positioning Candidate Set LocSet, the reachable data point of density is classified as a class, gone simultaneously Except the noise spot in LocSet, the one or more class clusters removed after noise data point are obtained;
The class cluster of maximum is found from the class cluster of acquisition, the average value of the maximum class cluster is asked for, the average value is made For the final position coordinate of unknown node.
6. method as claimed in claim 5, it is characterised in that the operation DBSCAN clusters on positioning Candidate Set LocSet Before algorithm, in addition to:
Data point density threshold parameter Minpts in DBSCAN algorithms is set;
K-dist figures are set up according to data point density threshold parameter Minpts and positioning Candidate Set LocSet, DBSCAN algorithms are determined In data point field radius parameter Eps;
Input value before Minpts, Eps and LocSet are run as DBSCAN algorithms.
7. the method as described in any in claim 1 to 6, it is characterised in that the PIT tests are surveyed for point in optimal triangle Examination.
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Application publication date: 20170929