CN108307301A - Indoor orientation method based on RSSI rangings and track similitude - Google Patents
Indoor orientation method based on RSSI rangings and track similitude Download PDFInfo
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Abstract
本发明公开了一种基于RSSI(Received Signal Strength Indication,接收信号指示强度)测距和轨迹相似性的室内定位方法,首先通过滤波模型处理信号噪声,并计算每组基站的RSSI代表值;其次依据无线信号传输理论模型和待定位点到各基站的距离之间的关系建立关联方程组,并计算待定位点的初始坐标估计;最后由初始坐标估计查找其相近轨迹,从中选取与当前轨迹的相似度最高的三条相近轨迹划,依此划定待定位点的坐标区域,将该坐标区域与初始坐标估计结合计算出待定位点的实际坐标。本发明中的定位方法重视当前轨迹与历史轨迹间的关联,而多数经典的方法视每次定位计算为独立的过程。通过本发明的方法,建立当前定位与历史定位间的关联模型,并利用这种关联模型确定当前所处位置。
The invention discloses an indoor positioning method based on RSSI (Received Signal Strength Indication, received signal strength indication) distance measurement and trajectory similarity, firstly, the signal noise is processed through a filtering model, and the RSSI representative value of each group of base stations is calculated; secondly, according to The theoretical model of wireless signal transmission and the relationship between the distance from the point to be positioned to each base station establishes a set of correlation equations, and calculates the initial coordinate estimation of the point to be positioned; finally, the initial coordinate estimation is used to find its similar trajectory, and the one similar to the current trajectory is selected from it. The three similar trajectories with the highest degree are drawn, and the coordinate area of the point to be located is delineated accordingly, and the actual coordinates of the point to be located are calculated by combining the coordinate area with the initial coordinate estimation. The positioning method in the present invention attaches great importance to the correlation between the current trajectory and the historical trajectory, while most classical methods regard each positioning calculation as an independent process. Through the method of the present invention, a correlation model between the current location and the historical location is established, and the current location is determined by using the correlation model.
Description
技术领域technical field
本发明涉及的行业领域为室内定位领域,适用于室内陈设布局较为固定以及室内物品或人员的移动轨迹较为稳定的室内定位应用场景;技术领域涉及物联网技术,特别涉及一种基于RSSI测距和轨迹相似性的室内定位方法。The field of industry involved in the present invention is the field of indoor positioning, which is suitable for indoor positioning application scenarios where the indoor layout is relatively fixed and the movement trajectory of indoor objects or people is relatively stable; the technical field relates to the Internet of Things technology, in particular to an RSSI-based ranging and Indoor localization methods based on trajectory similarity.
背景技术Background technique
无线通信、计算机网络和智能设备等现代信息技术的发展和逐渐成熟使得基于地理空间位置的应用普遍存在,人们对获取位置信息的需求日益迫切。近些年,GPS的广泛应用为室外用户提供高精度的定位服务,但由于受地面建筑物、室内陈设物品遮挡等客观因素的影响,室内用户无法获取GPS信号,此时GPS已然不能满足室内用户的定位需求。室内定位技术作为对户外卫星导航定位技术的有效补充,两者之间存在一定的共性。但室内定位干扰因素较多且其定位精度要求更高,这些特点使得室外定位方法无法直接应用于复杂环境的室内定位中。室内定位方法是室内定位技术的关键部分,已成为当前室内定位领域研究的热点。The development and gradual maturity of modern information technologies such as wireless communications, computer networks, and smart devices have made applications based on geospatial locations ubiquitous, and people's demand for location information has become increasingly urgent. In recent years, GPS has been widely used to provide high-precision positioning services for outdoor users. However, due to objective factors such as ground buildings and indoor furnishings, indoor users cannot obtain GPS signals. At this time, GPS cannot satisfy indoor users. positioning needs. As an effective supplement to outdoor satellite navigation and positioning technology, indoor positioning technology has certain commonality between them. However, indoor positioning has many interference factors and requires higher positioning accuracy. These characteristics make outdoor positioning methods unable to be directly applied to indoor positioning in complex environments. Indoor positioning method is a key part of indoor positioning technology, and has become a research hotspot in the field of indoor positioning.
目前主流的室内定位技术主要围绕提高室内定位精度、适用性以及降低使用成本等方面。依据定位方法所借助的通信手段,室内定位技术总体上可分为GNSS技术、无线定位技术、GNSS和无线定位组合的定位技术以及其他定位技术。而无线定位技术又可分为红外线定位、超声波定位、WiFi定位、蓝牙定位等。其中基于蓝牙的无线定位技术具有技术成本低廉、设备体积小、易集成普及、定位精度较高等优点,可使用于物体实时定位、货物追踪、机器人导航等应用场景。The current mainstream indoor positioning technology mainly focuses on improving indoor positioning accuracy, applicability, and reducing use costs. According to the communication means used by the positioning method, the indoor positioning technology can be generally divided into GNSS technology, wireless positioning technology, positioning technology combined with GNSS and wireless positioning, and other positioning technologies. The wireless positioning technology can be divided into infrared positioning, ultrasonic positioning, WiFi positioning, Bluetooth positioning and so on. Among them, Bluetooth-based wireless positioning technology has the advantages of low technical cost, small equipment size, easy integration and popularization, and high positioning accuracy. It can be used in application scenarios such as real-time positioning of objects, cargo tracking, and robot navigation.
基于蓝牙的室内定位技术主要采用的是基于RSSI测距的多边形定位法。该方法的基本原理是通过测量定位点与各蓝牙基站的距离解算定位点的位置。定位设备接收各蓝牙基站发送的无线信号,测量各蓝牙基站的RSSI,并根据无线信号传输理论模型计算其到各蓝牙基站的直线距离。利用多边形定位算法和距离约束估算定位设备的位置。虽然该定位方法引入均值滤波、中值滤波、高斯滤波等滤波模型消除部分信号噪声,一定程度减少了无线信号的波动对定位精度的影响,但是该方法过于依赖所测量的各蓝牙基站的RSSI值,换言之,RSSI值的测量精度直接决定了定位算法的精度。室内定位系统在长期的使用过程中,记录了大量的用户历史定位数据,建立当前位置与历史定位数据之间的关联,挖掘历史定位数据的潜在价值,用以提高室内定位的精度。The indoor positioning technology based on Bluetooth mainly adopts the polygon positioning method based on RSSI ranging. The basic principle of the method is to calculate the position of the positioning point by measuring the distance between the positioning point and each Bluetooth base station. The positioning device receives the wireless signals sent by each Bluetooth base station, measures the RSSI of each Bluetooth base station, and calculates the straight-line distance to each Bluetooth base station according to the theoretical model of wireless signal transmission. Estimate the position of the positioning device using polygon positioning algorithm and distance constraints. Although this positioning method introduces filtering models such as mean filtering, median filtering, and Gaussian filtering to eliminate part of the signal noise and reduce the impact of wireless signal fluctuations on positioning accuracy to a certain extent, this method relies too much on the measured RSSI values of each Bluetooth base station , in other words, the measurement accuracy of the RSSI value directly determines the accuracy of the positioning algorithm. During the long-term use of the indoor positioning system, a large amount of user historical positioning data is recorded, the association between the current position and the historical positioning data is established, and the potential value of the historical positioning data is tapped to improve the accuracy of indoor positioning.
发明内容Contents of the invention
本发明的目的在于克服现有技术的不足,提出一种基于RSSI测距和轨迹相似性的室内定位方法,通过引入当前轨迹与历史轨迹之间的关联,降低RSSI在定位计算中的比重,从而间接地消除部分信号噪声对定位精度的影响。The purpose of the present invention is to overcome the deficiencies of the prior art, propose a kind of indoor positioning method based on RSSI ranging and trajectory similarity, by introducing the association between current trajectory and historical trajectory, reduce the proportion of RSSI in positioning calculation, thereby Indirectly eliminate the influence of part of the signal noise on the positioning accuracy.
本发明解决其技术问题所采用的技术方案是:The technical solution adopted by the present invention to solve its technical problems is:
一种基于RSSI测距和轨迹相似性的室内定位方法,包括:An indoor positioning method based on RSSI ranging and trajectory similarity, comprising:
步骤1,获取所处位置各蓝牙基站RSSI数据集,依据采集的RSSI数据所对应的信号发射基站对RSSI数据集进行分组,即同一基站的RSSI数据归为一组。由于无线信号损失程度与接收距离成正比,信号损失越多,采集的RSSI数据往往就越少,定位精度就越低。故需分析每组所采集的RSSI数据的个数,一般选择RSSI值个数较多的4至8组数据集参与定位计算。Step 1. Obtain the RSSI data sets of each Bluetooth base station at the location, and group the RSSI data sets according to the signal transmitting base stations corresponding to the collected RSSI data, that is, the RSSI data of the same base station are grouped into one group. Since the degree of wireless signal loss is proportional to the receiving distance, the greater the signal loss, the less RSSI data will be collected, and the lower the positioning accuracy will be. Therefore, it is necessary to analyze the number of RSSI data collected in each group. Generally, 4 to 8 data sets with a large number of RSSI values are selected to participate in the positioning calculation.
步骤2,RSSI数据集优化处理Step 2, RSSI data set optimization processing
由于蓝牙基站发射不稳定、室内物品遮挡等客观因素的影响,同一位置不同时间段所接收RSSI值也是不同的,这导致同一组的RSSI数据集中数据个体间值的大小存在较大的差异,不同组间的RSSI数据的个数也不尽相同。为了增强RSSI值的可靠性,尽可能地减小因信号的波动而导致定位结果误差过大,需要对每组RSSI数据集进行滤波处理,使得各组处理得到的RSSI值能较为真实的反应定位终端到基站的距离。本发明采用的是高斯模型与卡尔曼模型相结合的模型处理方法。Due to the influence of objective factors such as Bluetooth base station transmission instability and indoor object occlusion, the received RSSI values are different in different time periods at the same location, which leads to large differences in the values of the data individuals in the same group of RSSI data sets. The number of RSSI data between groups is also different. In order to enhance the reliability of the RSSI value and minimize the error of positioning results caused by signal fluctuations, it is necessary to filter each set of RSSI data sets so that the RSSI values obtained by each set of processing can reflect the positioning more realistically. The distance from the terminal to the base station. The present invention adopts a model processing method combining a Gaussian model and a Kalman model.
步骤2.1,高斯模型筛选Step 2.1, Gaussian model screening
基于RSSI测距一般是依据无线信号传输理论模型Ranging based on RSSI is generally based on the theoretical model of wireless signal transmission
式中RSSI(d)dBm表示与信号发生源的距离为d时信号接收处的信号强度值;RSSI(d0)dBm表示与信号发生源的距离为d0时信号接收处的信号强度值,d0一般也称作参考距离,实际应用中常取值为1m;α称为路径损耗指数,是与所处外界环境影响有关的参数,可通过测量计算其值;β表示外界随机因素,是服从(0,σ2)高斯分布的随机变量。In the formula, RSSI(d) dBm represents the signal strength value at the signal receiving place when the distance from the signal generating source is d; RSSI(d 0 ) dBm represents the signal strength value at the signal receiving place when the distance from the signal generating source is d 0 , d 0 is generally also called the reference distance, and the value is usually 1m in practical applications; α is called the path loss index, which is a parameter related to the influence of the external environment, and its value can be calculated by measurement; β represents external random factors, which are subject to (0, σ 2 ) Gaussian distributed random variable.
从上述分析可知与基站j的距离为d时所采集的信号强度指示rssij,d值是服从(0,σ2)高斯分布的随机变量,记为:rssij,d~(0,σ2),其概率密度函数为From the above analysis, it can be seen that the value of the signal strength indicator rssi j,d collected when the distance from the base station j is d is a random variable that obeys the (0, σ 2 ) Gaussian distribution, which is recorded as: rssi j,d ~ (0, σ 2 ), and its probability density function is
其中rssij,d,k表示与j基站的距离为d时所采集的第k个信号强度指示值;表示在定位数据采集时间段内采集的每组RSSI数据集的均值,计算公式Where rssi j, d, k represent the kth signal strength indication value collected when the distance from base station j is d; Indicates the mean value of each group of RSSI data sets collected during the positioning data collection period, and the calculation formula
n表示每组所选取的rssi值的个数;σ表示每组RSSI数据集的标准差,计算公式n represents the number of rssi values selected in each group; σ represents the standard deviation of each group of RSSI data sets, the calculation formula
标准正态分布函数standard normal distribution function
高斯模型过滤RSSI的基本思想是选取介于高置信度所对应的置信区间的rssi值,即The basic idea of Gaussian model filtering RSSI is to select the rssi value between the confidence interval corresponding to the high confidence, namely
P(γ1≤rssij,d,k≤γ2)=1-δP(γ 1 ≤rssi j,d,k ≤γ 2 )=1-δ
在实际工程应用中高置信度δ一般取0.6,故可推倒出置信度1-δ的置信区间[γ1,γ2],即In practical engineering applications, the high confidence δ is generally taken as 0.6, so the confidence interval [γ 1 ,γ 2 ] of the confidence level 1-δ can be deduced, namely
δ表示显著水平即较小的概率值;表示概率值为时在正态分布图中的临界值,其值可查阅正态分布表。则基站分组后通过高斯模型筛选,最终每组选取的RSSI数据集δ indicates a significant level, that is, a small probability value; Indicates that the probability value is When is the critical value in the normal distribution graph, its value can be found in the normal distribution table. Then the base stations are grouped and screened by the Gaussian model, and finally the RSSI data set selected by each group
步骤2.2,卡尔曼滤波平滑处理Step 2.2, Kalman filter smoothing
为进一步提高RSSI数据的稳定性,需要使用卡尔曼滤波对高斯模型筛选的数据集进行平滑处理,卡尔曼滤波的基本思想是根据系统模型或者理论经验(在排除设备及环境因素的干扰,同一位置所接收的同一基站的RSSI理应相同),基于k-1状态的后验估计rssij,d,k-1|k-1得到当前要计算的k状态先验估计rssij,d,k|k-1,并结合当前k状态RSSI的观测值rssij,d,k对k状态RSSI做出后验估计rssij,d,k|k。卡尔曼滤波由描述系统状态的过程模型和观测系统状态的观测模型两部分构成。In order to further improve the stability of RSSI data, it is necessary to use the Kalman filter to smooth the data set screened by the Gaussian model. The received RSSI of the same base station should be the same), based on the a posteriori estimation rssi j,d,k-1|k-1 of the k-1 state, the k-state a priori estimation rssi j,d,k|k to be calculated is obtained -1 , and combined with the observed value rssi j,d,k of the current k-state RSSI to make a posteriori estimation rssi j,d,k|k of the k-state RSSI. Kalman filtering consists of two parts: a process model describing the system state and an observation model for observing the system state.
过程模型形式化表示Process Model Formal Representation
rssij,d,k|k-1=θrssij,d,k-1|k-1+E1(k)rssi j,d,k|k-1 =θrssi j,d,k-1|k-1 +E 1 (k)
其中θ表示系统参数,依据系统模型θ取值为1;E1(k)表示RSSI由k状态向k-1状态转变过程中的高斯白噪声或系统误差,服从(0,Q)高斯分布,Q为误差的方差。Where θ represents the system parameters, and the value of θ is 1 according to the system model; E 1 (k) represents the Gaussian white noise or system error during the transition of RSSI from state k to state k-1, which obeys the (0,Q) Gaussian distribution, Q is the variance of the error.
观测模型形式化表示Formal representation of observation model
rssi′j,d,k=ωrssij,d,k+E2(k)rssi′ j,d,k = ωrssi j,d,k +E 2 (k)
其中rssi′j,d,k表示观测模型的调整值;ω表示系统观测参数,依据系统模型取值为1;E2(k)表示系统观测高斯白噪声或系统观测误差,服从(0,R)高斯分布,R为误差的方差。where rssi′ j,d,k represent the adjustment value of the observation model; ω represents the system observation parameter, and the value is 1 according to the system model; E 2 (k) represents the system observation Gaussian white noise or the system observation error, obeying (0,R ) Gaussian distribution, R is the variance of the error.
卡尔曼滤波的形式化表达Formal expression of Kalman filter
rssij,d,k|k=rssij,d,k|k-1+K(rssi′j,d,k-rssij,d,k|k-1)rssi j,d,k|k =rssi j,d,k|k-1 +K(rssi′ j,d,k -rssi j,d,k|k-1 )
其中K表示卡尔曼增益,其计算公式Where K represents the Kalman gain, and its calculation formula
其中Pk|k-1表示的是k状态过程模型先验估计的误差方差,与k-1状态的后验估计的误差方差的关系为Pk|k-1=Pk-1|k-1+Q,参数R,Q可通过实际观测数据统计计算得到。Among them, P k|k-1 represents the error variance of the prior estimation of the k-state process model, and the relationship with the error variance of the posterior estimation of the k-1 state is P k|k-1 =P k-1|k- 1 +Q, parameters R and Q can be obtained through statistical calculation of actual observation data.
对高斯模型筛选得到的数据集Gj={rssij,d,l|l=1,2,…,m}利用卡尔曼滤波平滑处理得到数据集G′j={rssij,d,l|l|l=1,2,…,m},最终将用于计算待定位点到j基站的距离。For the data set G j ={rssi j,d,l |l=1,2,...,m} filtered by the Gaussian model, the data set G′ j ={rssi j,d,l| l |l=1,2,…,m}, finally It is used to calculate the distance from the point to be located to the j base station.
步骤3,由待定位点到各基站位置的投影距离等式建立关联方程组Step 3, establish a set of correlation equations from the projection distance equations from the point to be located to the position of each base station
假设待定位点为p的初始坐标估计为(xi′,yi′),将步骤2得到的代入无线信号传输理论模型即可得出p点到基站j的距离为dj。被定位终端相当于其所处的定位空间的相对高度一般变化较小,故被定位终端与室内基站的相对高度差可设为参数h0。至此可由余弦定理得到待定位点到各基站位置的投影距离等式,并建立如下关联方程组:Assuming that the initial coordinates of the point to be located are estimated to be (xi ′ , y i ′), the obtained in step 2 Substituting into the theoretical model of wireless signal transmission, the distance from point p to base station j can be obtained as d j . The relative height of the positioned terminal relative to the positioning space in which it is located generally changes little, so the relative height difference between the positioned terminal and the indoor base station can be set as a parameter h 0 . So far, the equation of projection distance from the point to be positioned to the position of each base station can be obtained by the law of cosines, and the following correlation equations can be established:
其中点(xj,yj)表示基站j的坐标。The point (x j , y j ) represents the coordinates of the base station j.
步骤4,极大似然估计法求方程组近似解Step 4, maximum likelihood estimation method to find the approximate solution of the system of equations
在无任何信号损失的理想条件下,方程组①中xi′,yi′存在唯一解。但室内环境往往也比较复杂,室内陈设物品较多,无线信号存在一定的损失,而且方程组①中的等式一般为6至8个,故而导致方程组①无解。为此可以利用极大似然估计的方法求方程组的近似解。为进一步提高定位结果的精度,针对方程组①中的等式采用组合的方法,也就是从j个等式中选取j-1个等式组合成新的方程组,共形成j种新的方程组。新的第s个方程组解的结构Under the ideal condition of no signal loss, there is a unique solution for x i ′, y i ′ in the equation system ①. However, the indoor environment is often more complex, there are many indoor furnishings, and there is a certain loss of wireless signals, and there are generally 6 to 8 equations in the equation group ①, so the equation group ① has no solution. For this purpose, the approximate solution of the system of equations can be obtained by using the method of maximum likelihood estimation. In order to further improve the accuracy of the positioning results, a combination method is adopted for the equations in the equation group ①, that is, j-1 equations are selected from j equations to combine into a new equation group, and a total of j new equations are formed Group. The structure of the solution of the new sth system of equations
其中in
最终求所有j种新的方程组解的平均值作为待定位点的初始坐标估计:Finally, the average value of all j new equation system solutions is calculated as the initial coordinate estimation of the point to be located:
步骤5,寻找相似的历史移动轨迹Step 5, look for similar historical movement trajectories
室内空间布局往往较为固定,室内物品或人员在室内长期的移动、定位的过程中形成了相对固定的历史移动轨迹,因此当前的移动轨迹与某些历史移动轨迹往往存在着极大的相似性,利用这种关联可以提高移动轨迹相对稳定的室内物品或人员的定位的精度。具体实现如下:The indoor spatial layout is often relatively fixed, and indoor objects or people form relatively fixed historical moving trajectories during the long-term movement and positioning indoors, so the current moving trajectories often have great similarities with some historical moving trajectories. Utilizing this association can improve the positioning accuracy of indoor objects or people whose moving trajectories are relatively stable. The specific implementation is as follows:
步骤5.1,查找相近轨迹Step 5.1, find similar trajectories
从历史定位数据集中查找与初始位置估计(xi′,yi′)距离较近的点集P={(x,y)||x-xi′|<λ,|y-yi′|<λ},参数λ的值取决于定位精度的要求以及室内环境,一般λ设置为0.5m至2m之间。假设存在历史定位轨迹分别表示定位时间,u示轨迹节点的个数,u的值取决于室内空间大小,一般设定为5至10)和当前移动轨迹若则称为的相近轨迹。Find a point set P={(x,y)||xx i ′|<λ,| yy i ′|<λ } that is closer to the initial position estimate (xi ′, y i ′) from the historical positioning data set , the value of the parameter λ depends on the requirements of positioning accuracy and the indoor environment. Generally, λ is set between 0.5m and 2m. Assuming that there is a historical positioning track Respectively represent the positioning time, u represents the trajectory The number of nodes, the value of u depends on the size of the indoor space, generally set to 5 to 10) and the current trajectory like then called for close trajectories.
步骤5.2,计算相近轨迹中的节点与当前轨迹中对应的节点的距离,Step 5.2, calculate nodes in similar trajectories corresponds to the node in the current track the distance,
逐对计算后可得到距离序列D=<d1,d2,…,du>。After calculating pair by pair, the distance sequence D=<d 1 ,d 2 ,...,d u > can be obtained.
步骤5.3,计算轨迹间相似度Step 5.3, calculate the similarity between trajectories
灰色关联度分析是依据比较序列形成的曲线与参考序列形成的曲线间的相似程度来确定比较序列与参考序列的关联度,比较曲线与参考曲线的几何形状越相似,那么它们之间的关联度值就越大。因此本发明使用距离序列的灰色关联度衡量当前移动轨迹与历史移动轨迹间的相似性。假设参考序列为C=<c1,c2,…,cu>,则距离序列D(比较序列)与参考序列C间的灰色关联度的计算方法如下:The gray relational degree analysis is based on the degree of similarity between the curve formed by the comparison sequence and the curve formed by the reference sequence to determine the degree of correlation between the comparison sequence and the reference sequence. The larger the value. Therefore, the present invention uses the gray correlation degree of the distance sequence to measure the similarity between the current movement trajectory and the historical movement trajectory. Assuming that the reference sequence is C=<c 1 ,c 2 ,...,c u >, the calculation method of the gray relational degree between the distance sequence D (comparison sequence) and the reference sequence C is as follows:
步骤5.3.1,逐个计算距离序列D与参考序列C的对应元素的差的绝对值,即Step 5.3.1, calculate the absolute value of the difference between the corresponding elements of the distance sequence D and the reference sequence C one by one, namely
|D-C|=|cv-dv|,v=1,2,…,u|DC|=|c v -d v |,v=1,2,…,u
步骤5.3.2,确定min(|cv-dv|)和max(|cv-dv|)。Step 5.3.2, determine min(|c v -d v |) and max(|c v -d v |).
步骤5.3.3,计算距离序列D与参考序列C每对对应元素的关联度系数Step 5.3.3, calculate the correlation coefficient of each pair of corresponding elements between the distance sequence D and the reference sequence C
其中η被称为分辨系数,且η∈[0,1]。η值越小表示分辨能力越强,关联系数Φv间的差异就越大,在实际的应用过程中常取η=0.5。where η is called the resolution coefficient, and η∈[0,1]. The smaller the value of η, the stronger the resolving power, and the greater the difference between the correlation coefficients Φv , and η = 0.5 is often taken in the actual application process.
步骤5.3.4,计算距离序列D与参考序列C对应元素的关联度系数的均值Step 5.3.4, calculate the mean value of the correlation coefficient of the corresponding elements of the distance sequence D and the reference sequence C
其中(又称关联系数)反映的是距离序列D与参考序列C间的相似程度,越大,距离序列D与参考序列C越相似。in (also known as the correlation coefficient) reflects the similarity between the distance sequence D and the reference sequence C, The larger is, the more similar the distance sequence D is to the reference sequence C.
由于距离序列D中的元素dv表示当前轨迹中的定位点与相近轨迹中对应的点的距离,故dv值越小两者越相近,当dv=0时为最优,此时因此参考序列C=<0,0,…0>。Since the element d v in the distance sequence D represents the anchor point in the current trajectory Points corresponding to the similar trajectory distance, so the smaller the d v value is, the closer the two are, and it is optimal when d v =0, at this time Hence the reference sequence C=<0,0,...0>.
步骤5.4,寻找最相似的相近轨迹Step 5.4, find the most similar similar trajectory
从众多的相近轨迹中筛选出与当前轨迹最相似的三个轨迹,即关联系数值最大的三条轨迹(分别设为),相应关联度系数对应相近轨迹的终点分别为 From numerous similar trajectories, three trajectories most similar to the current trajectory are selected, that is, the three trajectories with the largest correlation coefficient values (respectively set to ), the corresponding correlation coefficient The end points corresponding to similar trajectories are
步骤6,调整定位Step 6, adjust the positioning
由室内物品或人员移动轨迹的相似性可知,当前待定位点的位置应当位于由最相似的相近轨迹的终点所在的区域附近。利用三个最相似的相近轨迹的终点 所确定的三角形区域和待定位点的初始坐标估计p(xi′,yi′)可确定待定位点的位置。方法如下:From the similarity of indoor objects or moving trajectories, it can be seen that the current position of the point to be located should be located near the area where the end point of the most similar trajectories is located. Using the endpoints of the three most similar proximate trajectories The determined triangular area and the initial coordinate estimation p(xi ′ , y i ′) of the point to be located can determine the position of the point to be located. Methods as below:
步骤6.1,计算三角形内接圆心O(xo,yo)的位置Step 6.1, calculate the position of the inscribed circle center O(x o ,y o ) of the triangle
设 Assume
则but
步骤6.2,计算待定位点的初始坐标到圆心的线段pO与三角形边的交点Step 6.2, calculate the intersection point of the line segment pO from the initial coordinates of the point to be located to the center of the circle and the side of the triangle
设则分别判断线段pO与边AB、AC和BC是否有交点。下面以计算线段pO与线段AB的交点为例进行说明。Assume Then judge whether the line segment pO intersects with the sides AB, AC and BC respectively. The calculation of the intersection point of the line segment pO and the line segment AB is taken as an example for illustration below.
若行列式if determinant
则pO与AB重合或者平行。Then pO coincides with or is parallel to AB.
若△≠0,则计算If △≠0, calculate
若存在0≤λ≤1且0≤μ≤1,则pO与AB相交,交点(xi′+λ(xO-xi′),i′+λ(yO-yi′))即为待定位点的实际坐标;若A、B、C三点共线,则两两相连最长线段的中点坐标即为待定位点的实际坐标;若p点位于三角形内,则p点坐标即为待定位点的实际坐标。If there is 0≤λ≤1 and 0≤μ≤1, then pO intersects AB, the intersection point (xi ′ +λ(x O -x i ′), i ′+λ(y O -y i ′)) is is the actual coordinates of the point to be located; if the three points A, B, and C are collinear, then the coordinates of the midpoint of the longest line segment connected in pairs are the actual coordinates of the point to be located; if point p is within the triangle, then the coordinates of point p That is, the actual coordinates of the point to be located.
本发明具有如下有益效果:The present invention has following beneficial effects:
本发明提出的室内定位方法引入了当前轨迹与历史轨迹间的关联,通过建立关联模型提高移动轨迹较为稳定的室内物品或人员定位的精度。The indoor positioning method proposed by the present invention introduces the association between the current trajectory and the historical trajectory, and improves the positioning accuracy of indoor objects or personnel whose moving trajectory is relatively stable by establishing an association model.
以下结合附图及实施例对本发明作进一步详细说明,但本发明的一种基于RSSI测距和轨迹相似性的室内定位方法不局限于实施例。The present invention will be further described in detail below with reference to the accompanying drawings and embodiments, but the indoor positioning method based on RSSI ranging and trajectory similarity of the present invention is not limited to the embodiments.
附图说明Description of drawings
图1为本发明实施例基于RSSI测距和移动轨迹相似性的室内定位方法的流程图;FIG. 1 is a flow chart of an indoor positioning method based on RSSI ranging and moving trajectory similarity according to an embodiment of the present invention;
图2为本发明实施例办公室布局图;Fig. 2 is an office layout diagram of an embodiment of the present invention;
图3为本发明实施例原始RSSI数据集箱线图;Fig. 3 is the original RSSI data set box plot of the embodiment of the present invention;
图4为本发明实施例滤波模型处理后RSSI数据集箱线图。Fig. 4 is a box plot of the RSSI data set processed by the filtering model according to the embodiment of the present invention.
具体实施方式Detailed ways
参见图1至图4所示,本实施例是一种基于RSSI测距和轨迹相似性的室内定位方法,选取室内办公室作为应用场景,选择11.8m×8.9m的办公室作为定位区域,建立直角坐标系,其中长方向为横坐标方向,宽方向为纵坐标方向。在定位区域布置八个编号为X10001~X10007的蓝牙基站,对应坐标分别为(-2.4,-0.6),(-6.8,0),(-11.8,-0.8),(-11.8,-4.8),(-9.7,-8.1),(-2.4,-8.1),(-0.6,-4.4)。现将被定位设备置于定位区域,依据本发明的定位方法进行计算。实施要点如下:Referring to Figures 1 to 4, this embodiment is an indoor positioning method based on RSSI ranging and trajectory similarity. The indoor office is selected as the application scene, and the office of 11.8m×8.9m is selected as the positioning area, and the rectangular coordinates are established. system, where the long direction is the abscissa direction, and the width direction is the ordinate direction. Arrange eight Bluetooth base stations numbered X10001~X10007 in the positioning area, and the corresponding coordinates are (-2.4,-0.6), (-6.8,0), (-11.8,-0.8), (-11.8,-4.8), (-9.7,-8.1), (-2.4,-8.1), (-0.6,-4.4). Now place the device to be positioned in the positioning area, and calculate according to the positioning method of the present invention. The implementation points are as follows:
步骤a,依据蓝牙基站对采集的RSSI数据集进行分组,本实施例中可分为七组,各组数据分布情况参见图3。In step a, the collected RSSI data sets are grouped according to the Bluetooth base station, which can be divided into seven groups in this embodiment, and the data distribution of each group is shown in FIG. 3 .
步骤b,对分组后的每组RSSI数据集通过滤波模型处理,高斯滤波模型消除了部分极端噪声,筛选较为稳定的RSSI值,而卡尔曼滤波模型使得较为稳定的RSSI数据集更趋于平滑,二者的结合极大程度地降低了信号噪声,提高了定位精度。各组RSSI数据集滤波模型处理后的数据分布参见图4,最终各个蓝牙基站的RSSI代表值如表1所示。Step b, each grouped RSSI data set is processed by a filtering model, the Gaussian filtering model eliminates some extreme noises, and selects a relatively stable RSSI value, while the Kalman filtering model makes the relatively stable RSSI data set tend to be smoother, The combination of the two greatly reduces signal noise and improves positioning accuracy. See Figure 4 for the data distribution of each group of RSSI datasets processed by the filtering model, and the final RSSI representative values of each Bluetooth base station are shown in Table 1.
表1Table 1
步骤c,依据无线信号传输理论模型和待定位点与各基站的距离公式之间的关联建立等式,并从这七个等式中抽取六个等式建立关联方程组,可组成七种方程组。用极大似然估计的方法分别求解上述七种关联方程组,各组方程组采用极大似然估计的方法求得的近似解参见表2,计算出这七种关联方程组近似解的均值为(xi′,yi′)T=(6.66,4.03)T。Step c, establish an equation based on the theoretical model of wireless signal transmission and the relationship between the distance formula between the point to be located and each base station, and extract six equations from these seven equations to establish a set of associated equations, which can form seven equations Group. Use the method of maximum likelihood estimation to solve the above seven kinds of related equations respectively. The approximate solutions obtained by using the method of maximum likelihood estimation for each group of equations are shown in Table 2, and the average value of the approximate solutions of the seven related equations is calculated. is (xi ′ , y i ′) T = (6.66, 4.03) T .
表2Table 2
步骤d,查找的所有相近轨迹(由于相近轨迹较多,故表3仅列举相似度最高的三个,其余不再一一列举),并计算出当前轨迹<(1.35,0.83),(2.12,1.57),(3.00,2.12),(4.00,2.76),(4.85,3.67)>与各相近轨迹的距离序列。因为该应用场景空间较小,所以轨迹的节点个数n=5。Step d, find (Because there are many similar trajectories, Table 3 only lists the three with the highest similarity, and the rest will not be listed one by one), and calculate the current trajectory<(1.35,0.83),(2.12,1.57),( 3.00, 2.12), (4.00, 2.76), (4.85, 3.67) > distance sequence to each similar trajectory. Because the application scene space is small, the number of nodes in the trajectory is n=5.
表3table 3
步骤e,计算当前轨迹与所有相近轨迹的相似度,选取三个相似度最高的相近轨迹,并由轨迹终点划定被定位设备实际位置所在的三角形区域。轨迹1、轨迹2和轨迹3为相似度最高的三条相近轨迹,其距离序列和相似度值参见表4。故被定位设备实际所在的位置为由最相似的三条相近轨迹的终点(6.02,4.48),(5.65,4.94),(5.06,5.06)所确定的三角形边上。Step e, calculating the similarity between the current trajectory and all similar trajectories, selecting three similar trajectories with the highest similarity, and delimiting the triangular area where the actual position of the positioned device is located by the end of the trajectory. Trajectory 1, Trajectory 2, and Trajectory 3 are the three closest trajectories with the highest similarity, and their distance sequences and similarity values are shown in Table 4. Therefore, the actual position of the positioned device is on the side of the triangle determined by the end points (6.02, 4.48), (5.65, 4.94), and (5.06, 5.06) of the three most similar trajectories.
表4Table 4
步骤f,被定位设备的初始坐标估计结合由其相近轨迹所划定的三角形区域即可确定被定位设备在实际坐标系中的位置。初始坐标估计(6.66,4.03)与三角形内接圆圆心(5.60,4.85)的连线与三角形边的交点(5.92,4.60)作为被定位设备在直角坐标系中的位置。Step f, the initial coordinate estimation of the positioned device Combining with the triangular area delineated by its approximate trajectory, the position of the positioned device in the actual coordinate system can be determined. The intersection point (5.92, 4.60) of the line connecting the initial coordinate estimation (6.66, 4.03) and the center of the triangle inscribed circle (5.60, 4.85) and the triangle side (5.92, 4.60) is used as the position of the positioned device in the Cartesian coordinate system.
以上仅为本发明的较佳实施例,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection scope of the present invention Inside.
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