CN104181500A - Real-time locating method based on inertia information and chance wireless signal characteristics - Google Patents
Real-time locating method based on inertia information and chance wireless signal characteristics Download PDFInfo
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Abstract
Description
技术领域 technical field
本发明涉及一种无线通信领域的定位方法,尤其是涉及一种基于惯性信息和机会无线信号特征的实时定位方法。 The invention relates to a positioning method in the field of wireless communication, in particular to a real-time positioning method based on inertial information and opportunistic wireless signal characteristics. the
背景技术 Background technique
伴随着移动设备和个人设备的普及,定位技术成为当前及未来的热门研究领域。定位系统能够判断终端设备的位置信息,同时将位置信息用于基于位置的服务,如导航、跟踪、监测等。根据使用范围划分,基于位置的服务主要包括室外定位应用和室内定位应用。 With the popularization of mobile devices and personal devices, positioning technology has become a hot research field at present and in the future. The positioning system can determine the location information of the terminal equipment, and at the same time use the location information for location-based services, such as navigation, tracking, monitoring, etc. According to the scope of use, location-based services mainly include outdoor positioning applications and indoor positioning applications. the
在室外定位系统中,通常使用全球定位系统(GPS)或其他卫星定位系统进行定位。GPS系统能够很好的提供室外的个人定位信息,利用GPS进行定位的优势是卫星有效覆盖范围大,且定位导航信号免费。但是GPS依靠卫星和接受者的之间信号的视距传输,而GPS卫星发射的无线信号太微弱,无法穿透大部分的建筑物等障碍物,导致在室内的情况下,GPS系统定位并不准确,而且定位终端的成本较高。 In the outdoor positioning system, the global positioning system (GPS) or other satellite positioning systems are usually used for positioning. The GPS system can provide outdoor personal positioning information very well. The advantage of using GPS for positioning is that the effective coverage of satellites is large, and positioning and navigation signals are free. However, GPS relies on the line-of-sight transmission of signals between satellites and receivers, and the wireless signals emitted by GPS satellites are too weak to penetrate most of the obstacles such as buildings. As a result, GPS system positioning is not effective indoors. Accurate, and the cost of positioning the terminal is relatively high. the
由于无线通信的业务有70%以上在室内开展,近年来室内定位技日益受到关注。室内定位系统用于提供个人和设备的室内位置信息。精度和计算收敛时间被认为是定位技术最重要的因素,现在己有很多室内定位技术,例如红外室内定位技术、射频识别技术、无线局域网定位技术、航位推算技术等。 Since more than 70% of wireless communication services are carried out indoors, indoor positioning technology has attracted increasing attention in recent years. Indoor positioning systems are used to provide indoor location information of individuals and devices. Accuracy and calculation convergence time are considered to be the most important factors of positioning technology. Now there are many indoor positioning technologies, such as infrared indoor positioning technology, radio frequency identification technology, wireless local area network positioning technology, dead reckoning technology and so on. the
现将这几种技术的主要特点简要列举如下: The main characteristics of these technologies are briefly listed as follows:
1)红外室内定位技术 1) Infrared indoor positioning technology
红外(Infrared)是用于室内定位的最早的技术,红外线室内定位技术定位的原理是,红外线IR标识发射调制的红外射线,通过安装在室内的光学传感器接收进行定位。虽然红外线具有相对较高的室内定位精度,但是由于光线不能穿过障碍物,使得红外射线仅能视距传播。直线视距和传输距离较短这两大主要缺点使其室内定位的效果很差。当标识放在口袋里或者有墙壁等遮挡时便无法正常工作;并且需要在每个房间、走廊安装接收天线,造价较高;红外线容易被荧光灯或者房间内的灯光干扰造成定位精度下降。因此,红外线只适合短距离传播,而且在精确定位上有局限性。 Infrared (Infrared) is the earliest technology used for indoor positioning. The principle of infrared indoor positioning technology positioning is that the infrared IR mark emits modulated infrared rays, which are received by an optical sensor installed indoors for positioning. Although infrared rays have relatively high indoor positioning accuracy, infrared rays can only travel at a line-of-sight distance because light rays cannot pass through obstacles. The two main disadvantages of line-of-sight and short transmission distance make the indoor positioning effect very poor. When the sign is placed in a pocket or blocked by a wall, it will not work properly; and receiving antennas need to be installed in each room and corridor, which is expensive; infrared rays are easily interfered by fluorescent lamps or lights in the room, resulting in a decrease in positioning accuracy. Therefore, infrared rays are only suitable for short-distance transmission and have limitations in precise positioning. the
2)射频识别(RFID)技术 2) Radio Frequency Identification (RFID) technology
射频(Radio Frequency)也常用于个人室内定位(IPS)。射频识别技术利用射频方式进行非接触式双向通信交换数据以达到识别和定位的目的。这种技术作用距离范围较大,并且可以在几毫秒内得到厘米级精度的定位信息,并且由于不依赖于可见光,适用范围更广。但由于设备造价较高并且涉及隐私问题,并且容易被金属或水环境所影响,该定位方法依然没有得到大规模使用,只在特定场景下发挥作用。 Radio Frequency (Radio Frequency) is also commonly used in Personal Indoor Positioning (IPS). Radio frequency identification technology uses radio frequency to conduct non-contact two-way communication and exchange data to achieve the purpose of identification and positioning. This technology has a large range of action, and can obtain centimeter-level positioning information within a few milliseconds, and because it does not depend on visible light, it has a wider range of applications. However, due to the high cost of equipment and privacy issues, and it is easily affected by metal or water environments, this positioning method has not been used on a large scale and only works in specific scenarios. the
3)无线局域网(WLAN)定位技术 3) Wireless local area network (WLAN) positioning technology
无线局域网(WLAN)基于1EEE802.11协议,是以无线信道作传输媒介的计算机局域网络,是计算机网络与无线通信技术相结合的产物,它以无线多址信道作为传输媒介,提供传统有线局域网的功能,能够使用户真正实现随时、随地、随意的宽带网络接入。移动用户对信息的即时性和就地性的需求越来越强烈,这就给基于WLAN系统的位置服务提供了广阔的发展空间。WLAN系统中定位技术主要有基于RSSI(Received Signal Strength Indication,接收信号强度指示)或TOA/TDOA/AOA的三角定位、信号强度定位等技术。其中,信号强度定位技术主要包括信号强度指纹/信号传播模型定位等两类方法。有很多著名的WLAN定位系统,如RADAR系统将信号强度和信噪比signal-to-noise用于三角定位技术,通过建立射频信道传播模型,多个WLAN接入点(APs)能够根据信号空间(NNSS) 定位算法里最近的邻居来定位出移动基站。CAMPASS系统通过WLAN基础设施和数字指南针,为携带有WLAN设备的用户提供低成本以及相对高精度的定位服务。 Wireless local area network (WLAN) is based on the 1EEE802.11 protocol. It is a computer local area network that uses wireless channels as the transmission medium. It is the product of the combination of computer networks and wireless communication technologies. The function enables users to truly realize broadband network access anytime, anywhere and at will. Mobile users have increasingly strong demands for immediacy and locality of information, which provides a broad development space for location services based on WLAN systems. The positioning technology in the WLAN system mainly includes technologies such as triangulation positioning and signal strength positioning based on RSSI (Received Signal Strength Indication) or TOA/TDOA/AOA. Among them, the signal strength positioning technology mainly includes two types of methods such as signal strength fingerprint/signal propagation model positioning. There are many well-known WLAN positioning systems, such as the RADAR system, which uses signal strength and signal-to-noise ratio signal-to-noise for triangulation positioning technology. By establishing a radio frequency channel propagation model, multiple WLAN access points (APs) can be based on the signal space ( The nearest neighbor in the NNSS) positioning algorithm is used to locate the mobile base station. The CAMPASS system provides low-cost and relatively high-precision positioning services for users carrying WLAN devices through WLAN infrastructure and digital compass. the
4)航位推算(Dead Reckoning) 4) Dead Reckoning
航位推算技术是一种很重要的导航技术,Dead Reckoning起源于17世纪航海,指由己知的定点以罗盘及航速推算出目前所在位置的方法;根据上次所测定的位置,以及前进方向、速度、时间、距离就能够算出当前的位置信息。基于不同的物理特性和应用环境,航位推算传感器可以相互组合实现不同的配置方案,如陀螺仪和加速度计组合的惯性导航系统,磁力计和加速度计组成的无漂移定位方法,陀螺仪、磁力计和加速度计元余定位方法等。Dead Reckoning在短距离定位上有较高的精度,但是具有累积误差的缺点。 Dead reckoning technology is a very important navigation technology. Dead Reckoning originated from navigation in the 17th century. It refers to the method of calculating the current position from a known fixed point with a compass and speed; Speed, time, and distance can calculate the current position information. Based on different physical characteristics and application environments, dead reckoning sensors can be combined with each other to achieve different configuration schemes, such as inertial navigation systems composed of gyroscopes and accelerometers, drift-free positioning methods composed of magnetometers and accelerometers, gyroscopes, magnetic Meter and accelerometer element positioning methods, etc. Dead Reckoning has high accuracy in short-distance positioning, but has the disadvantage of accumulating errors. the
发明内容 Contents of the invention
如背景技术中所述,针对现有技术中的不足,本发明的目的是提供一种基于惯性信息和机会无线信号特征的实时定位方法,该方法无需对导航场景的环境数据进行先期录入;利用场景中各种机会无线信号作为惯性导航的校准依据,可以解决使用惯性导航系统导致累积误差过大,无法长时间使用的问题;同时也由于使用多种机会无线信号作为校准判据,因此可以克服传统方法中使用单一无线信号作为校准判据可能导致的在某些特殊情况下判据失准的问题。 As described in the background technology, in view of the deficiencies in the prior art, the purpose of the present invention is to provide a real-time positioning method based on inertial information and opportunistic wireless signal characteristics, which does not need to enter the environmental data of the navigation scene in advance; Various opportunistic wireless signals in the scene are used as the calibration basis for inertial navigation, which can solve the problem that the cumulative error caused by the use of inertial navigation system is too large and cannot be used for a long time; at the same time, because a variety of opportunistic wireless signals are used as calibration criteria, it can overcome The use of a single wireless signal as a calibration criterion in traditional methods may lead to the problem of inaccurate criteria in some special cases. the
本发明的内容包含四个主要部分:输入参数、算法流程、核心算法、输出参数。 The content of the present invention includes four main parts: input parameters, algorithm flow, core algorithm, and output parameters. the
(1)输入参数 (1) Input parameters
本发明的输入参数包括但不限于:惯性信息、机会无线信号特征信息、初始位置信息。 The input parameters of the present invention include but not limited to: inertial information, opportunistic wireless signal characteristic information, and initial position information. the
其中,惯性信息包括但不限于:被定位终端的罗盘方向信息、定位终端的运动加速度信息。机会无线信号特征信息包括任何可以被定位终端探测到的,具有低时变高空间相关度的无线信号,例如Wi-Fi信号、蜂窝基站信号、无线广播电视信号等等。 Wherein, the inertial information includes, but is not limited to: compass direction information of the positioned terminal, and motion acceleration information of the positioned terminal. Opportunistic wireless signal feature information includes any wireless signal with low time-varying high spatial correlation that can be detected by the positioning terminal, such as Wi-Fi signal, cellular base station signal, wireless broadcast TV signal, and so on. the
(2)算法流程 (2) Algorithm process
该算法流程如图1所示,主要分为以下几个步骤: The algorithm flow is shown in Figure 1, which is mainly divided into the following steps:
1)采用可靠方式如GPS信号或者人为指定位置作为起始位置,并输入定位目标每次移动的平均距离,即步长信息,初始化定位系统;. 1) Use reliable methods such as GPS signals or artificially designated positions as the starting position, and input the average distance of each movement of the positioning target, that is, the step size information, to initialize the positioning system;.
2)通过定位终端的加速度传感器监测定位目标的运动状态,如果定位目标移动则利用无线信号传感器获取机会无线信号特征信息,同时利用定位终端的罗盘获取该次运动的大致方向,并执行步骤3),否则返回步骤2); 2) Monitor the motion state of the positioning target through the acceleration sensor of the positioning terminal. If the positioning target moves, use the wireless signal sensor to obtain the characteristic information of the wireless signal of opportunity, and at the same time use the compass of the positioning terminal to obtain the general direction of the movement, and perform step 3) , otherwise return to step 2);
3)将定位终端采集到的惯性信息以及机会无线信号特征,作为粒子滤波器的驱动信息更新粒子群的状态,同时通过粒子群计算出当前定位目标的可能位置并更新其历史轨迹,输出定位结果,回到步骤2)。 3) Use the inertial information and opportunistic wireless signal characteristics collected by the positioning terminal as the driving information of the particle filter to update the state of the particle swarm, and at the same time calculate the possible position of the current positioning target through the particle swarm and update its historical trajectory, and output the positioning result , back to step 2). the
(3)核心算法 (3) Core algorithm
本发明的核心算法为改进后的粒子滤波器法,通过模拟一定数量的粒子,并对粒子的权重和状态 进行更新来估计终端的位置,该粒子滤波方法包括以下四个步骤:粒子初始化、粒子状态更新,粒子权重更新,粒子重采样。 The core algorithm of the present invention is the improved particle filter method, which estimates the position of the terminal by simulating a certain number of particles and updating the weight and state of the particles. The particle filter method includes the following four steps: particle initialization, particle State update, particle weight update, particle resampling. the
1)粒子初始化 1) Particle initialization
粒子初始化即以给定或测量得到的起始位置为圆心,将一定数目的粒子以离圆心由近到远递减的概率随机分布在该圆心附近,对于每个粒子,以输入参数中的步长为概率分布中心,设定一个随机的且互不相同的特征步长,并且额外设置一个随机的罗盘偏移量作为粒子状态更新的依据。 Particle initialization is to take the given or measured starting position as the center of the circle, and randomly distribute a certain number of particles near the center of the circle with the probability of decreasing from near to far from the center of the circle. For each particle, the step size in the input parameter As the probability distribution center, set a random and different feature step size, and additionally set a random compass offset as the basis for particle state update. the
2)粒子状态更新 2) Particle status update
粒子状态更新过程如下:利用定位终端测量得到的机会无线信号特征信息更新所有粒子的当前机会无线信号特征信息;利用定位终端测量得到的运动方向信息,结合每个粒子的特征步长与特征罗盘偏移量,再加上一定的随机零均值高斯扰动之后,对每个粒子应用航迹推断,以此更新粒子的位置信息。 The particle state update process is as follows: update the current opportunistic wireless signal feature information of all particles by using the opportunistic wireless signal characteristic information measured by the positioning terminal; use the movement direction information obtained by the positioning terminal to combine the characteristic step size and characteristic compass deviation of each particle After adding a certain random zero-mean Gaussian perturbation, track inference is applied to each particle to update the particle's position information. the
其中通过航迹推断计算粒子当前位置的方法如下:设采集到的方向信息是运动方向与磁北方向的夹角,设为θ,令每个粒子的特征步长为li,特征罗盘偏移量为θi,随机生成的步长扰动为Δl,罗盘偏移量扰动为Δθ,粒子前一刻所处位置坐标为(x,y),则更新状态后,粒子的位置(x′,y′)为:
3)粒子权重更新 3) Particle weight update
粒子权重更新以如下方法进行:通过对所处地图进行虚拟的空间划分,将定位所在的地图划分出了棋盘形的若干正方形虚拟占用格,对于先后落入同一占用格的粒子,使用相似度(例如余弦相似度)计算该粒子先后两次机会无线信号特征的相似性,若其相似性高于某一判定阈值则认为该粒子为一重入粒子,将其赋予高权重,反之若粒子未进入统一占用格或进入同一占用格但相似度低于设定阈值,则将该粒子标记为非重入粒子,且权重设置为低权重。 Particle weights are updated in the following way: by dividing the virtual space of the map, the map where the location is located is divided into several square virtual occupancy grids in a checkerboard shape. For example, cosine similarity) calculates the similarity of the wireless signal characteristics of the particle twice in succession. If the similarity is higher than a certain threshold, the particle is considered to be a re-entrant particle and given a high weight. Otherwise, if the particle does not enter the unified occupancy cell or enter the same occupancy cell but the similarity is lower than the set threshold, the particle is marked as a non-reentrant particle, and the weight is set to low weight. the
计算相似度及更新权重的具体过程如下所述:设某个先后进入同一占用格的粒子其先后两次的信号指纹向量为(s1,s2,s3,…,sm)及(s′1,s′2,s′3,…,s′m),向量中,位置i上的值为来自两个信号向量的信号源并集中,第i个信号源的信号强度,若某一向量中不存在来自该信号源的向量则置零补位。由此,信号向量的余弦相似度ρ按以下公式计算:计算得到的ρ越接近1,说明两个信号向量越相似,越接近0则两个信号向量差别越大。当ρ大于某一经验性预设阈值时,认为该粒子在该此移动中经过了它的历史位置,则认为该粒子为一重入粒子,此时以公式δ=e-1/logρ算得该粒子此时的权重δ。 The specific process of calculating the similarity and updating the weight is as follows: Assume that the signal fingerprint vectors of a particle entering the same occupied cell successively twice are (s 1 , s 2 , s 3 ,..., s m ) and (s ′ 1 , s′ 2 , s′ 3 ,…, s′ m ), in the vector, the value at position i is from the union of signal sources of two signal vectors, the signal strength of the i-th signal source, if a certain If there is no vector from the signal source in the vector, it will be set to zero and filled. Therefore, the cosine similarity ρ of the signal vector is calculated according to the following formula: The closer the calculated ρ is to 1, the more similar the two signal vectors are, and the closer to 0, the greater the difference between the two signal vectors. When ρ is greater than a certain empirically preset threshold, it is considered that the particle has passed its historical position during the movement, and the particle is considered to be a reentrant particle. At this time, the particle is calculated by the formula δ=e -1 /logρ The weight δ at this time.
4)粒子重采样 4) Particle resampling
粒子重采样以如下方法进行:在粒子权重更新步骤中统计重入粒子个数,当重入粒子占总粒子数比例高过某一阈值时进行重采样,重采样时,权重较大(小)的粒子以较高(低)概率被复制增殖成为新一代粒子,生成的新粒子处在父代粒子的原位置不变,权重均重设为1/N(N为总粒子数),特征步长及特征罗盘偏移量为父代粒子特征步长及特征罗盘偏移量加上一个零均值高斯扰动。 Particle resampling is carried out as follows: in the particle weight update step, the number of reentrant particles is counted, and when the proportion of reentrant particles to the total number of particles is higher than a certain threshold, resampling is performed. When resampling, the weight is larger (smaller) Particles of the new generation are copied and multiplied into a new generation of particles with a high (low) probability, and the generated new particles are in the original position of the parent particles, and the weights are reset to 1/N (N is the total number of particles), and the characteristic step The length and characteristic compass offset are the characteristic step size and characteristic compass offset of the parent particle plus a zero-mean Gaussian disturbance. the
需特别指出的是,对于每次定位过程,定位目标需要至少一次回到曾经经历过的位置,通过重回历史位置,选出能正确代表该闭环路径的粒子并赋予其高权值,进而可以通过加权平均算法纠正当前定位结果并修正其历史轨迹。 It should be pointed out that for each positioning process, the positioning target needs to return to the position it has experienced at least once. By returning to the historical position, the particles that can correctly represent the closed-loop path are selected and given a high weight. Correct the current positioning result and correct its historical trajectory through the weighted average algorithm. the
所述的加权平均算法利用粒子的历史位置,算出每一步对应的粒子群所指向的可能位置,每一步的权重都由最后一次重采样之前的粒子权重决定。 The weighted average algorithm uses the historical positions of the particles to calculate the possible positions pointed by the particle swarm corresponding to each step, and the weight of each step is determined by the weight of the particles before the last resampling. the
其中,利用加权平均算法更新粒子位置的具体过程如下:设N个粒子的当前位置为(xi,yi),各个粒子当前的权重为δi,那么通过该粒子云计算得到的目标位置为:同理可以利用每个粒子的历史位置及当前该粒子的权值更新历史轨迹。 Among them, the specific process of using the weighted average algorithm to update the particle position is as follows: suppose the current position of N particles is (xi , y i ), and the current weight of each particle is δ i , then the target position obtained through the particle cloud calculation is : Similarly, the historical track can be updated by using the historical position of each particle and the current weight of the particle.
(4)输出参数 (4) Output parameters
本发明的输出参数为,定位终端的位置信息和历史轨迹。 The output parameters of the present invention are the location information and historical track of the positioning terminal. the
(5)其他 (5) Others
本方法应用到的设备包括但不限于具有各种传感器的手持设备、后台处理服务器、电脑以及其他视频显示设备。 The devices to which this method is applied include, but are not limited to, handheld devices with various sensors, background processing servers, computers, and other video display devices. the
附图说明 Description of drawings
图1:定位算法流程图 Figure 1: Flow chart of positioning algorithm
图2:实验区域示意 Figure 2: Schematic diagram of the experimental area
图3:实验路线 Figure 3: Experimental route
图4纯惯性轨迹 Figure 4 Pure inertia trajectory
图5矫正后的路线 Figure 5 The corrected route
图6误差对比 Figure 6 Error comparison
图7累积误差对比 Figure 7 Cumulative error comparison
具体实例 Specific examples
本发明所述基于惯性信息和机会无线信号特征的实时定位方法,现以北京邮电大学第三教学楼中的室内定位测试实例做进一步阐述。本发明对具有这个实例中基本特征的应用场景普遍适用。 The real-time positioning method based on the inertial information and opportunistic wireless signal characteristics of the present invention is further elaborated by taking an indoor positioning test example in the third teaching building of Beijing University of Posts and Telecommunications. The present invention is generally applicable to application scenarios having the basic features in this example. the
本实例中,北京邮电大学第三教学楼中底楼大厅中GPS信号接受困难,但室内的机会信号丰富,站定一点,利用定位终端测得机会信号概况如下表1所示: In this example, it is difficult to receive GPS signals in the lobby of the middle and ground floor of the third teaching building of Beijing University of Posts and Telecommunications, but there are abundant indoor signals of opportunity. Stand still, and the overview of signals of opportunity measured by the positioning terminal is shown in Table 1 below:
表1无线信号概括 Table 1 Summary of wireless signals
北京邮电大学第三教学楼底楼大厅平面图如下图所示,本次实验区域由虚线框示出,如图2所示: The floor plan of the lobby on the ground floor of the third teaching building of Beijing University of Posts and Telecommunications is shown in the figure below, and the experimental area is shown by the dotted line box, as shown in Figure 2:
测试开始,输入参数如表2所示: The test starts, and the input parameters are shown in Table 2:
表2输出参数 Table 2 output parameters
定位算法流程中,首先以定位起点(116.363382,39.966199)为圆心,在分布半径(10m)以内,以离圆心由近到远递减的概率随机放置5000个粒子,对于每个粒子,以输入参数中的步长(0.65m)为正态概率分布均值,以2为方差,为每个粒子设定随机非负的特征步长,并且额外设置一个0均值高斯随机变量作为罗盘偏移量,完成粒子云的初始化。 In the positioning algorithm process, firstly, the starting point of positioning (116.363382, 39.966199) is used as the center of the circle, and within the distribution radius (10m), 5000 particles are randomly placed with the probability of decreasing from the center to the farthest. For each particle, the input parameter The step size (0.65m) is the mean value of the normal probability distribution, with 2 as the variance, set a random non-negative characteristic step size for each particle, and additionally set a 0-mean Gaussian random variable as the compass offset to complete the particle Cloud initialization. the
随后实验者携带定位终端进行移动,定位终端对每次移动造成的加速度变化进行监测,对垂直加速度进行移动窗滤波,识别出每一次迈步行为,并在每次迈步行为发生时,记录当前的机会无线信号特征信息,以及此时罗盘传感器检测到的终端运动方向朝向,下表3为一实验中某一次数据采集得到的结果: Then the experimenter carries the positioning terminal to move, and the positioning terminal monitors the acceleration change caused by each movement, performs a moving window filter on the vertical acceleration, recognizes each stepping behavior, and records the current opportunity when each stepping behavior occurs The characteristic information of the wireless signal, and the direction of terminal movement detected by the compass sensor at this time, the following table 3 shows the results obtained from a certain data collection in an experiment:
表3实验数据示例 Table 3 Example of experimental data
采集到的方向信息是运动方向与磁北方向的夹角,设为θ,令每个粒子的特征步长为li,特征罗盘偏移量为θi,随机生成的步长扰动为Δl,罗盘偏移量扰动为Δθ,粒子前一刻所处位置坐标为(x,y),则更新状态后,粒子的位置(x′,y′)为:
本次实验选取的路线如图3所示。 The route chosen for this experiment is shown in Figure 3. the
纯惯性导航得到的轨迹如图4所示。 The trajectory obtained by pure inertial navigation is shown in Figure 4. the
由图4可以看到,未经矫正的轨迹存在较大的惯性漂移,随着导航的进行离真实位置渐行渐远。惯性导航经过本方法的矫正之后的路线如图5所示。 It can be seen from Figure 4 that there is a large inertial drift in the uncorrected trajectory, and it gradually moves away from the real position as the navigation progresses. The route of inertial navigation after correction by this method is shown in Figure 5. the
由图5可以看到,加入矫正算法之后的轨迹,在回到历史位置时,导航轨迹发生了较明显的矫正。下图6为两种导航方法的误差对比图,图7为累积误差对比图。 It can be seen from Figure 5 that the trajectory after adding the correction algorithm, when returning to the historical position, the navigation trajectory has been significantly corrected. Figure 6 below is the error comparison chart of the two navigation methods, and Figure 7 is the cumulative error comparison chart. the
由图6、图7可以看到,本定位算法使得定位误差相比较于传统惯性导航有了明显的提升,本算法中重回到历史点的步骤对于降低惯性漂移有着明显的作用。 As can be seen from Figures 6 and 7, this positioning algorithm has significantly improved the positioning error compared with traditional inertial navigation, and the step of returning to the historical point in this algorithm has a significant effect on reducing inertial drift. the
下表4展示了两种方法产生的定位误差的均值和标准差以及定位累计误差,可以显而易见的看出,本方法相比于纯惯性定位,在误差均值和标准差上都有提高。 Table 4 below shows the mean and standard deviation of the positioning errors generated by the two methods, as well as the cumulative positioning errors. It can be clearly seen that, compared with pure inertial positioning, this method improves both the mean and standard deviation of the errors. the
表4误差对比 Table 4 Error comparison
综上所述,我们可以看到,本发明能够有效的纠正惯性导航带来的惯性偏移,无论是误差均值还是误差标准差都要明显的优于传统的惯性导航。 In summary, we can see that the present invention can effectively correct the inertial offset caused by inertial navigation, and both the error mean and the error standard deviation are obviously superior to traditional inertial navigation. the
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