CN103260239B - A kind of positioning of mobile equipment method based on WIFI - Google Patents
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Abstract
本发明涉及一种基于WIFI的移动设备定位方法,包括以下步骤:一、在移动设备可能移动的范围内,均匀播撒假设点,形成假设点集合;二、对移动设备定期进行监测,获得设备的相对移动距离向量,据此更新假设点集合中每个假设点的当前位置,并记录每次更新后假设点位置信息和接收到的各WIFI源信号强度;三、对每个假设点,将记录轨迹上每一个位置数据分别与N个WIFI源1的信号强度数据进行拟合,形成拟合函数,并得到N个方差,据此得到该假设点的不可靠数值,按照用户预设的阈值删除不可靠数值高的假设点,并重复执行步骤三,直到达到用户要求。该方法可以实现室内环境下的有效定位,能够弥补在当前大建筑物等环境下难以实现精准设备定位的实际困难。
The present invention relates to a mobile device positioning method based on WIFI, comprising the following steps: 1. Evenly sow hypothetical points within the range where the mobile device may move to form a set of hypothetical points; 2. Periodically monitor the mobile device to obtain the location of the device The relative movement distance vector, based on which the current position of each hypothetical point in the hypothetical point set is updated, and the position information of the hypothetical point and the received signal strength of each WIFI source are recorded after each update; 3. For each hypothetical point, the Each position data on the trajectory is fitted with the signal strength data of N WIFI sources 1 to form a fitting function, and N variances are obtained, based on which the unreliable value of the hypothetical point is obtained, and deleted according to the threshold value preset by the user Assume points with high unreliability values, and repeat step 3 until user requirements are met. This method can realize effective positioning in an indoor environment, and can make up for the practical difficulty of achieving accurate device positioning in current environments such as large buildings.
Description
技术领域technical field
本发明涉及一种移动设备定位技术,特别涉及一种基于WIFI信号的移动设备定位方法。The invention relates to a mobile device positioning technology, in particular to a mobile device positioning method based on WIFI signals.
背景技术Background technique
在GPS系统中,卫星通过短波信号,使接收器接收到卫星广播的位置,从而确定接收器的所在位置。由于使用了短波通信手段,GPS在全球定位中存在不足,即短波信号难以穿透障碍物,无法完成室内场地的定位。In the GPS system, the satellite uses short-wave signals to enable the receiver to receive the position broadcast by the satellite, thereby determining the location of the receiver. Due to the use of short-wave communication means, GPS has deficiencies in global positioning, that is, short-wave signals are difficult to penetrate obstacles and cannot complete the positioning of indoor venues.
为了克服GPS系统的缺点,人们正在寻找一种能够完成室内定位的工具,用来补充卫星定位系统,完善全球定位。自从1999年,IEEE确定802.11标准至今,WIFI已经成为最为世界上应用最广泛的无线技术、设备通信技术之一。早期,WIFI使用者通过WIFI的物理位置大致定位,用以广告头像,定向节目的播出,近几年,通过对WIFI设备的改善,研究者发现接受到的WIFI信号强度与WIFI接收设备距离之间存在明显关系,这使得通过WIFI精确定位移动设备成为可能。In order to overcome the shortcomings of the GPS system, people are looking for a tool that can complete indoor positioning, which is used to supplement the satellite positioning system and improve global positioning. Since IEEE established the 802.11 standard in 1999, WIFI has become one of the most widely used wireless technologies and device communication technologies in the world. In the early days, WIFI users were roughly positioned by the physical location of WIFI, which was used to advertise avatars and broadcast targeted programs. In recent years, through the improvement of WIFI equipment, researchers have found that the received WIFI signal strength is different from the distance of WIFI receiving equipment. There is an obvious relationship between them, which makes it possible to accurately locate mobile devices through WIFI.
研究者通过对不同的WIFI源和移动设备进行统计,发现在大规模数据输入后,WIFI信号强度与WIFI接收设备距离之间存在着以下关系:Through statistics on different WIFI sources and mobile devices, the researchers found that after large-scale data input, there is the following relationship between WIFI signal strength and the distance of WIFI receiving devices:
H=K+E*log10(dis)H=K+E*log 10 (dis)
其中dis为距离,H为信号强度,K与E为自然值,其数值与WIFI信号源设备,移动设备,环境有紧密关系。通常当WIFI源、移动设备、环境固定时,KE值的变化波动不大。因此当通过对H-dis对的大量测量后,能够确定一个WIFI源的环境因子KE。Among them, dis is the distance, H is the signal strength, K and E are natural values, and their values are closely related to the WIFI signal source equipment, mobile equipment, and environment. Usually when the WIFI source, mobile device, and environment are fixed, the KE value does not fluctuate much. Therefore, the environmental factor KE of a WIFI source can be determined after a large number of measurements of H-dis pairs.
基于离线学习的WIFI定位方法,是在固定环境、WIFI源下,对设备进行在标准长度下进行信号强度的测量,在采集了大量距离及其对应的信号强度后,对其进行拟合,确定公式1中的环境因子KE值。随后,将移动设备放入未知环境内,通过信号强度,确定设备与WIFI源的距离。目前WIFI定位大多采用离线学习的方案。The WIFI positioning method based on offline learning is to measure the signal strength of the device at a standard length under a fixed environment and a WIFI source. After collecting a large number of distances and their corresponding signal strengths, they are fitted and determined. The environmental factor KE value in Equation 1. Then, put the mobile device into an unknown environment, and determine the distance between the device and the WIFI source through the signal strength. At present, WIFI positioning mostly adopts the offline learning scheme.
但是,离线学习方案也存在着问题。WIFI的信号强度与距离之间的关系并非一成不变的,其关系受到移动设备性能、WIFI源状态、甚至环境温度的影响,其具体表现在距离-强度公式(H=K+E*log10(dis))中K、E两个环境因子上。由于离线学习的时间与实际定位的时间并不相同,在设备完成了基于环境的离线学习后,很可能因为间隔时间较长或其他原因使设备产生的变化,从而使得KE环境因子产生不可预计的波动,如在这种条件下,继续进行后期定位,尽管强度信息没有变化,但也无法得到预计的距离值,产生错误。However, offline learning schemes also have problems. The relationship between WIFI signal strength and distance is not static, and its relationship is affected by the performance of mobile devices, WIFI source status, and even ambient temperature, which is specifically shown in the distance-strength formula (H=K+E*log 10 (dis )) on the two environmental factors K and E. Since the offline learning time is not the same as the actual positioning time, after the device completes the environment-based offline learning, it is likely that the device will change due to a long interval or other reasons, which will make the KE environment factor unpredictable. Fluctuations, such as under such conditions, continue to carry out post-location positioning, although the intensity information does not change, but the estimated distance value cannot be obtained, resulting in errors.
而且,带有离线学习步骤的WIFI定位方法很难应用在实际的定位过程中。系统很难要求每一个期望获得地理位置信息的设备进行一次离线学习的过程。因为这种离线学习需要使用者在特定的位置进行人工干预,这是很难实现的。并且这种离线学习或人工干预的过程又是此设备唯一一次进行环境因子KE值确认的过程。Moreover, the WIFI positioning method with offline learning steps is difficult to apply in the actual positioning process. It is difficult for the system to require each device that expects to obtain geographic location information to perform an offline learning process. Because this offline learning requires manual intervention by the user at a specific location, it is difficult to achieve. And this process of offline learning or manual intervention is the only process for this equipment to confirm the KE value of the environmental factor.
发明内容Contents of the invention
本发明的目的是针对现有技术的问题,提出一种WIFI定位方法,该方法能够弱化原有“离线定位”方法中动态变化的环境对WIFI定位精度的影响,并在一定程度上解决“离线定位”方法难以应用的问题。The purpose of the present invention is to address the problems of the prior art and propose a WIFI positioning method, which can weaken the impact of the dynamically changing environment on the WIFI positioning accuracy in the original "offline positioning" method, and solve the problem of "offline positioning" to a certain extent. Positioning" method is difficult to apply to the problem.
本发明是采用下述技术方案实现的:The present invention is realized by adopting the following technical solutions:
一种基于WIFI的移动设备定位方法,包括以下步骤:A WIFI-based mobile device positioning method, comprising the following steps:
一、在移动设备可能移动的范围内,均匀播撒假设点,形成假设点集合;在该范围内,存在N个WIFI源;1. In the range where the mobile device may move, spread the hypothetical points evenly to form a set of hypothetical points; within this range, there are N WIFI sources;
二、按照用户设置的时间间隔,对移动设备定期进行监测,每次测量的数据包括测量时间、设备的速度、接收到的各WIFI源信号强度;每次测量后,通过设备速度和测量时间,获得设备的相对移动距离向量,据此更新假设点集合中每个假设点的当前位置,并记录每次更新后假设点位置信息和接收到的各WIFI源信号强度;2. According to the time interval set by the user, the mobile device is regularly monitored. The data measured each time includes the measurement time, the speed of the device, and the signal strength of each WIFI source received; after each measurement, through the device speed and measurement time, Obtain the relative movement distance vector of the device, update the current position of each hypothetical point in the hypothetical point set accordingly, and record the position information of the hypothetical point and the received signal strength of each WIFI source after each update;
三、当记录长度即测量次数达到用户预设的长度S后,循环执行以下步骤,直到收敛至用户许可的范围:3. When the record length, that is, the number of measurements reaches the length S preset by the user, execute the following steps in a loop until it converges to the range permitted by the user:
1)对每个假设点,将记录轨迹上每一个位置数据与该位置时WIFI源1的信号强度数据进行拟合,形成拟合函数,并得到方差1;1) For each hypothetical point, fit each position data on the recorded track with the signal strength data of WIFI source 1 at that position to form a fitting function and obtain a variance of 1;
2)将假设点记录轨迹上每一个位置数据与该位置时WIFI源i的信号强度数据进行拟合,形成拟合函数,并得到方差i;其中i=1,2,……,N;2) Fit each position data on the hypothetical point record track with the signal strength data of WIFI source i at this position to form a fitting function and obtain variance i; where i=1,2,...,N;
3)将方差1、方差2、……,方差N相加,得到该假设点的不可靠数值;3) Add variance 1, variance 2, ..., variance N to get the unreliable value of the hypothetical point;
4)计算每个假设点的不可靠数值,按照该不可靠数值对各假设点进行排序,按照用户预设的阈值删除不可靠数值高的假设点;4) Calculate the unreliable value of each hypothetical point, sort the hypothetical points according to the unreliable value, and delete the hypothetical point with high unreliable value according to the threshold value preset by the user;
5)对保留的假设点,记录最新的一个测量数据,并抛弃最老的一个测量数据。5) For the retained hypothetical points, record the latest measurement data and discard the oldest measurement data.
作为本发明的一种优化方案,在步骤三对点集合进行收敛之后,还包括对点集合进行发散的步骤,以步骤三中保留的模拟点为中心,在设备可能移动的范围内进行近密远疏的撒点,形成新的假设点集合,并对该集合执行步骤三所述的收敛过程,直到满足系统要求为止。As an optimization scheme of the present invention, after the point set is converged in step 3, it also includes the step of diverging the point set, centering on the simulated point reserved in step 3, performing near-intensity within the range where the equipment may move Distant points are scattered to form a new hypothetical point set, and the convergence process described in step 3 is performed on this set until the system requirements are met.
有益效果Beneficial effect
该方法可以实现室内环境下的有效定位,能够弥补在当前大建筑物,如卖场、体育馆等环境下难以实现精准设备定位的实际困难。This method can realize effective positioning in an indoor environment, and can make up for the practical difficulty of achieving accurate device positioning in the current environment of large buildings, such as stores and gymnasiums.
附图说明Description of drawings
图1为基于三个WIFI源的网络环境图;Fig. 1 is a network environment diagram based on three WIFI sources;
图2为实施例的定位方法流程图;Fig. 2 is the flowchart of the positioning method of the embodiment;
图3为轨迹记录形式示意图。Figure 3 is a schematic diagram of the track recording format.
具体实施方式Detailed ways
下面结合附图,具体说明本发明的优选实施方式。The preferred embodiments of the present invention will be specifically described below in conjunction with the accompanying drawings.
本实施例构建了一个基于三个WIFI源的热点环境,其中三个WIFI源的相对位置已知,如图1所示,三个WIFI源构建出一个等腰直角三角形的热点网络,其中直角边长为L。This embodiment constructs a hotspot environment based on three WIFI sources, wherein the relative positions of the three WIFI sources are known, as shown in Figure 1, the three WIFI sources construct a hotspot network of an isosceles right triangle, wherein the right angle sides The length is L.
本实施例的方法如图2所示,包括以下步骤:The method of the present embodiment is shown in Figure 2, comprises the following steps:
一、在移动设备可能移动的范围内,均匀播撒假设点,形成假设点集合;1. In the range where the mobile device may move, evenly spread the hypothetical points to form a set of hypothetical points;
假设点集合的优劣是本方法收敛速度的关键之一,若假设点集合内恰好包含某个离设备真实位置较近的假设点,则方法的收敛可以在几十个时间周期内完成,若假设点集合中不包含设备真实位置,甚至几乎的全部假设点都与设备的真实点距离较远,方法的收敛尽管仍能完成,但其收敛速度将大大降低。为此假设点的集合设置非常关键。The quality of the hypothetical point set is one of the keys to the convergence speed of this method. If the hypothetical point set happens to contain a certain hypothetical point that is closer to the real position of the device, the convergence of the method can be completed within dozens of time periods. If The set of hypothetical points does not contain the real position of the device, and even almost all the hypothetical points are far away from the real point of the device. Although the convergence of the method can still be completed, its convergence speed will be greatly reduced. The set of hypothetical points is critical for this purpose.
在初始化阶段,为了使假设点集能够不集中于某个区域、不遗漏某个区域,通常采用均匀撒点的方式。首先根据环境情况确定场地直角边长长度L,然后根据需要确定单位长度中点的数量D。In the initialization stage, in order to make the hypothetical point set not concentrate in a certain area and not miss a certain area, the method of evenly spreading points is usually adopted. First determine the length L of the right-angled side of the site according to the environmental conditions, and then determine the number D of midpoints per unit length as required.
根据一些实际需要,设备在某些地方出现的概率更大,可以适当对该区域的假设点数量进行增加,以得到更快速的点集合的收敛。According to some actual needs, the probability of equipment appearing in some places is greater, and the number of hypothetical points in this area can be appropriately increased to obtain a faster convergence of point sets.
在本实施例中,初始区域设置为边长为L的正方形,三个WIFI源分别位于正方形的三个顶点上。单位长度中假设点数量越多,计算复杂度越高,但是结果越精确。在本实施例中,针对较小的实验环境,按照1cm的距离设置假设点。In this embodiment, the initial area is set as a square with side length L, and the three WIFI sources are respectively located on three vertices of the square. The more assumed points per unit length, the higher the computational complexity, but the more accurate the result. In this embodiment, for a small experimental environment, hypothetical points are set at a distance of 1 cm.
二、按照用户设置的时间间隔,对移动设备定期进行监测,每次测量的数据包括测量时间、设备的速度、接收到的各WIFI源信号强度;每次测量后,通过设备速度和测量时间,获得设备的相对移动距离向量,据此更新假设点集合中每个假设点的当前位置,并记录每次更新后假设点位置信息和接收到的各WIFI源信号强度。2. According to the time interval set by the user, the mobile device is regularly monitored. The data measured each time includes the measurement time, the speed of the device, and the signal strength of each WIFI source received; after each measurement, through the device speed and measurement time, Obtain the relative movement distance vector of the device, update the current position of each hypothetical point in the hypothetical point set accordingly, and record the position information of the hypothetical point and the received signal strength of each WIFI source after each update.
本实施例中,每次测量数据都需要发至服务器上进行实时计算和处理,因此将时间间隔设置为移动设备(手机)和电脑同步的最小时间。In this embodiment, each measurement data needs to be sent to the server for real-time calculation and processing, so the time interval is set as the minimum time for synchronization between the mobile device (mobile phone) and the computer.
移动设备的速度通过移动设备自带的陀螺仪、加速计和指南针获得。三轴陀螺仪、三轴加速计、电子指南针等设备在手机及其他设备上广泛应用,目前全部具有该设备的移动设备包括Iphone4以上苹果手机、Galaxy Note等。通过陀螺仪、加速计等设备获得速度的方法很多,复杂度和精度不尽相同。本实施例中采用的方法为:The speed of the mobile device is obtained through the built-in gyroscope, accelerometer and compass of the mobile device. Three-axis gyroscope, three-axis accelerometer, electronic compass and other devices are widely used in mobile phones and other devices. At present, all mobile devices with this device include Apple mobile phones above Iphone4, Galaxy Note, etc. There are many ways to obtain speed through devices such as gyroscopes and accelerometers, with different complexity and accuracy. The method adopted in this embodiment is:
1、使设备静止;1. Make the device static;
2、当设备开始运动时,利用加速计获得某时刻在各个方向上的加速度;2. When the device starts to move, use the accelerometer to obtain the acceleration in various directions at a certain moment;
3、利用加速计中的重力数值判断设备姿态(如产生设备旋转,则同时利用陀螺仪辅助),将设备加速度投影在基于设备的水平方向上;3. Use the gravity value in the accelerometer to judge the attitude of the device (if the device rotates, use the gyroscope to assist at the same time), and project the acceleration of the device on the horizontal direction based on the device;
4、利用电子指南针的指北作用,将基于设备的水平方向的加速度投影成基于正北方向的水平加速度;4. Utilize the northing function of the electronic compass to project the acceleration based on the horizontal direction of the device into the horizontal acceleration based on the true north direction;
5、继续记录下一时刻的加速度信息;5. Continue to record the acceleration information at the next moment;
6、将某段时间的加速度进行积分,获得时间末尾处的设备速度(设备的速率和方向)。6. Integrate the acceleration for a certain period of time to obtain the device velocity (velocity and direction of the device) at the end of the time.
通过获得的设备速度和时间戳,可以获得相对移动距离向量。根据相对移动距离向量,更新假设点集合中每一个假设点的当前位置,并将本次当前位置和接收到的各WIFI源强度进行记录。Through the obtained device speed and time stamp, the relative movement distance vector can be obtained. According to the relative movement distance vector, the current position of each hypothetical point in the hypothetical point set is updated, and the current position and the strength of each received WIFI source are recorded.
随着移动端数据的不断传回,服务器将根据上述方法记录每次更新后假设点位置信息和信号强度。服务器上的记录形式如图3所示,其中箭头方向表示包含的内容。With the continuous transmission of data from the mobile terminal, the server will record the location information and signal strength of the assumed point after each update according to the above method. The form of the record on the server is shown in Figure 3, where the direction of the arrow indicates the contained content.
三、当记录长度即测量次数达到用户预设的长度S后,对点集合内所有假设点执行如下步骤:3. When the record length, that is, the number of measurements reaches the length S preset by the user, perform the following steps for all hypothetical points in the point set:
1、将假设点轨迹的每一个位置与与该位置时WIFI源1的强度进行拟合,形成拟合函数,并得到方差1;1. Fit each position of the hypothetical point trajectory with the strength of WIFI source 1 at that position to form a fitting function and obtain a variance of 1;
2、将假设点轨迹的每一个位置与与该位置时WIFI源2的强度进行拟合,形成拟合函数,并得到方差2;2. Fit each position of the hypothetical point trajectory with the strength of the WIFI source 2 at that position to form a fitting function and obtain the variance 2;
3、将假设点轨迹的每一个位置与与该位置时WIFI源3的强度进行拟合,形成拟合函数,并得到方差3;3. Fit each position of the hypothetical point trajectory with the strength of the WIFI source 3 at that position to form a fitting function and obtain the variance 3;
4、将方差1、方差2、方差3扩大并相加,得到该假设点的不可靠数值;4. Expand and add variance 1, variance 2, and variance 3 to obtain the unreliable value of the hypothetical point;
5、依照该数值对各假设点进行排序,并排除那些不可靠数值较高的假设点。5. Sort each hypothetical point according to the value, and exclude those hypothetical points with higher unreliable values.
以上步骤在每进行一次测量之后重复执行一次,直到收敛至用户许可的范围。The above steps are repeated after each measurement until it converges to the range permitted by the user.
同时,为了能够适应环境因子KE的突发改变,轨迹的记录在动态更新的同时,应对旧的轨迹进行剔除,因此纪录长度S应保持不变。记录长度的设置应该能够满足对环境曲线进行拟合的精度需求。当记录长度达到S之后,需要在记录新的测量数据时遗忘旧的测量数据。At the same time, in order to be able to adapt to the sudden change of the environmental factor KE, the track record should be deleted while the track record is dynamically updated, so the record length S should remain unchanged. The setting of the record length should be able to meet the accuracy requirement of fitting the environmental curve. When the record length reaches S, it is necessary to forget the old measurement data when recording new measurement data.
拟合可以使用任何通用的拟合方法,本实例采用最小二乘法进行拟合。删除假设点的阈值由用户根据实际情况设置,例如可以设置为一个具体的不可靠数值,当高于该数值时就抛弃假设点。本实施例中设置为一个百分比数据20%,每次都抛弃不可靠数值最高的20%假设点,使用该阈值可以简单快速的实现收敛。Any common fitting method can be used for fitting, and the least square method is used for fitting in this example. The threshold for deleting hypothetical points is set by the user according to the actual situation. For example, it can be set to a specific unreliable value, and the hypothetical point will be discarded when it is higher than this value. In this embodiment, it is set to a percentage data of 20%, and the 20% hypothetical points with the highest unreliable value are discarded every time. Using this threshold can achieve convergence simply and quickly.
收敛步骤的结束条件也可以由用户根据实际情况设置。例如,对于有的系统,要求拟合的方差不能够高于一个预设的阈值。本实施例中,以保留的点的数量作为收敛结束的条件,当剩下的点小于10个,结束收敛过程。The end condition of the convergence step can also be set by the user according to the actual situation. For example, for some systems, it is required that the variance of the fit cannot be higher than a preset threshold. In this embodiment, the number of remaining points is used as the condition for ending the convergence, and when the remaining points are less than 10, the convergence process ends.
当点集合收敛在一定范围内时,点集合的拟合结果有可能在一定范围内保持震荡,这主要是因为我们在假设点的过程中,初始的假设点密度无法较好的匹配实际点。When the point set converges within a certain range, the fitting result of the point set may remain oscillating within a certain range. This is mainly because the initial hypothetical point density cannot match the actual point well in the process of assuming points.
为了在此基础上提高定位的精度,本实施例对点集合进行进一步的发散。发散主要是在当前假设点范围内重新增加模拟点数量,补充点集合。首先选用那些更为优秀的模拟点,然后在这些点周围进行点补充,点的补充不应按照均匀布撒的方案进行,因为在初始点集合的过程中,我们并不知道点的大体位置,为了不遗漏,所以均匀撒点。但此时,我们已经知道了点的大体位置,即在这些优秀的模拟点周围,因此我们将以这些模拟点为中心进行近密远疏的撒点。在本实施例中,采用高斯随机数的方法,以这些保留的模拟点为中心,在设备可能的活动范围内布撒假设点。将这些新建的模拟点加入点集合,再继续执行点的收敛和发散过程,直到其方差满足系统要求为止。In order to improve the positioning accuracy on this basis, this embodiment further diverges the point set. Divergence is mainly to re-increase the number of simulation points within the range of the current hypothetical points and supplement the set of points. First select those more excellent simulation points, and then supplement the points around these points. The supplement of points should not be carried out according to the uniform distribution plan, because in the process of initial point collection, we do not know the general position of the points. In order not to miss, so spread evenly. But at this time, we already know the general location of the points, that is, around these excellent simulation points, so we will use these simulation points as the center to scatter close-in and far-away points. In this embodiment, a Gaussian random number method is used, centering on these reserved simulation points, hypothetical points are distributed within the possible activity range of the device. Add these newly created simulation points to the point set, and then continue to perform the convergence and divergence process of the points until the variance meets the system requirements.
该方法可以实现室内环境下的有效定位,能够弥补在当前大建筑物,如卖场、体育馆等环境下难以实现精准设备定位的实际困难。This method can realize effective positioning in an indoor environment, and can make up for the practical difficulty of achieving accurate device positioning in the current environment of large buildings, such as stores and gymnasiums.
如中国长春欧亚卖场有52万平方米的室内营业面积,想了解员工是否在岗非常困难。采用本方法构建的定位模型,可以有效的确定员工位置,间接增加员工的出勤率,提高企业利润。For example, the Eurasian store in Changchun, China has an indoor business area of 520,000 square meters. It is very difficult to know whether employees are on duty. The positioning model constructed by this method can effectively determine the location of employees, indirectly increase the attendance rate of employees, and improve corporate profits.
应该理解的是,本实施方式只是本发明实施的具体实例,不应该是本发明保护范围的限制。在不脱离本发明的精神与范围的情况下,对上述内容进行等效的修改或变更均应包含在本发明所要求保护的范围之内。It should be understood that this embodiment is only a specific example of the implementation of the present invention, and should not limit the protection scope of the present invention. Without departing from the spirit and scope of the present invention, equivalent modifications or changes to the above contents shall be included in the scope of protection claimed by the present invention.
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