CN111698649A - Vehicle positioning method under GPS-assisted NLOS (non line of sight) propagation scene - Google Patents
Vehicle positioning method under GPS-assisted NLOS (non line of sight) propagation scene Download PDFInfo
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Abstract
本发明提供了一种GPS辅助的NLOS传播场景下的车辆定位方法。该方法包括:生成车辆定位的仿真模型,利用仿真模型计算出车辆之间的测量距离;利用车辆之间的测量距离通过TDOA算法计算出无GPS待测车辆的估计位置;计算出无GPS待测车辆的估计位置的定位误差,根据定位误差计算出中断概率;确定无GPS待测车辆的定位参数,根据定位参数通过对比得到在不同的场景下能够达到最低的中断概率时所采用的最佳定位策略;利用最佳定位策略对无GPS待测车辆进行位置定位。本发明给出了不同环境下的定位策略的选取方案,进一步提高了车辆定位的精度,为5G背景下的基于精确位置信息的车联网应用的实现与推广做出了贡献。
The present invention provides a vehicle positioning method in a GPS-assisted NLOS propagation scenario. The method includes: generating a simulation model of vehicle positioning, and using the simulation model to calculate a measurement distance between vehicles; using the measurement distance between vehicles to calculate an estimated position of a vehicle to be measured without GPS through a TDOA algorithm; The positioning error of the estimated position of the vehicle, and the interruption probability is calculated according to the positioning error; the positioning parameters of the vehicle to be tested without GPS are determined, and the optimal positioning used when the lowest interruption probability can be obtained in different scenarios is obtained through comparison according to the positioning parameters. Strategy; use the best positioning strategy to position the vehicle to be tested without GPS. The invention provides a selection scheme of positioning strategies in different environments, further improves the accuracy of vehicle positioning, and contributes to the realization and promotion of Internet of Vehicles applications based on precise position information in the context of 5G.
Description
技术领域technical field
本发明涉及车辆定位技术领域,尤其涉及一种GPS辅助的NLOS传播场景下的车辆定位方法。The invention relates to the technical field of vehicle positioning, in particular to a vehicle positioning method in a GPS-assisted NLOS propagation scenario.
背景技术Background technique
近年来,随着5G技术的快速发展,车联网及其相关技术引起了学界的广泛关注。特别是对于一些对车辆位置信息高度依赖的应用(如自动驾驶、碰撞检测)而言,如何获取车辆的精确位置,成为一个重要的研究方向。然而,交通系统中信号传播环境比较复杂,车辆之间的通信链路常常受到各种障碍物的阻挡,其产生的NLOS(non-line-of-sight,非视距)传播对于车辆定位的精度会造成很大的影响,给车辆的定位造成困难。In recent years, with the rapid development of 5G technology, the Internet of Vehicles and related technologies have attracted extensive attention from the academic community. Especially for some applications that are highly dependent on vehicle position information (such as automatic driving and collision detection), how to obtain the precise position of the vehicle has become an important research direction. However, the signal propagation environment in the traffic system is complex, and the communication link between vehicles is often blocked by various obstacles. The resulting NLOS (non-line-of-sight, non-line-of-sight) propagation is very accurate for vehicle positioning. It will cause a great impact and make it difficult to locate the vehicle.
为了解决这一问题,NLOS identification(non-line-of-sightidentification,非视距识别)和NLOS mitigation(non-line-of-sight mitigation,非视距校准)是常用且有效的手段。其中,identification识别出NLOS状态下的链路;在此基础上,mitigation消除NLOS链路的测距误差。然而NLOS identification的识别仍然存在误差,这限制了定位精度的进一步提升。同时,现阶段学界对于NLOS识别错误对定位精度的影响的研究尚不充分,这也不利于NLOS环境下定位性能的改善。To solve this problem, NLOS identification (non-line-of-sight identification) and NLOS mitigation (non-line-of-sight mitigation, non-line-of-sight calibration) are commonly used and effective means. Among them, identification identifies the link in the NLOS state; on this basis, mitigation eliminates the ranging error of the NLOS link. However, there are still errors in the identification of NLOS identification, which limits the further improvement of positioning accuracy. At the same time, at this stage, the research on the influence of NLOS recognition errors on the positioning accuracy is still insufficient, which is not conducive to the improvement of the positioning performance in the NLOS environment.
发明内容SUMMARY OF THE INVENTION
本发明的实施例提供了一种GPS辅助的NLOS传播场景下的车辆定位方法,以克服现有技术的问题。Embodiments of the present invention provide a vehicle positioning method in a GPS-assisted NLOS propagation scenario to overcome the problems of the prior art.
为了实现上述目的,本发明采取了如下技术方案。In order to achieve the above objects, the present invention adopts the following technical solutions.
一种GPS辅助的NLOS传播场景下的车辆定位方法,包括:A vehicle positioning method in a GPS-assisted NLOS propagation scenario, comprising:
生成车辆定位的仿真模型,利用所述仿真模型计算出车辆之间的测量距离;generating a simulation model of vehicle positioning, and using the simulation model to calculate the measurement distance between vehicles;
利用车辆之间的测量距离通过TDOA算法计算出无GPS待测车辆的估计位置;Using the measured distance between vehicles to calculate the estimated position of the vehicle to be tested without GPS through the TDOA algorithm;
计算出所述无GPS待测车辆的估计位置的定位误差,根据定位误差计算出中断概率;确定所述无GPS待测车辆的定位参数,根据所述定位参数通过对比得到在不同的场景下能够达到最低的中断概率时所采用的最佳定位策略;The positioning error of the estimated position of the vehicle to be tested without GPS is calculated, and the interruption probability is calculated according to the positioning error; the positioning parameters of the vehicle to be tested without GPS are determined. The best positioning strategy to use when reaching the lowest probability of outage;
利用所述最佳定位策略对所述无GPS待测车辆进行位置定位。Use the optimal positioning strategy to position the vehicle to be tested without GPS.
优选地,所述的生成车辆定位的仿真模型,利用所述仿真模型计算出车辆之间的测量距离,包括:Preferably, the simulation model for generating vehicle positioning, and the measurement distance between vehicles is calculated by using the simulation model, including:
生成车辆定位的仿真模型,在所述仿真模型中:用Ngps代表有GPS定位能力的车辆数,Nv代表车辆总数,自身位置已知的车辆数记作Nknow,并将其初始化为Nknow=Ngps,将有GPS定位能力的车辆作为无GPS的车辆进行位置定位的锚点;将NLOS识别错误分成了false和miss两种情况,false情况表示将LOS状态错误地识别为NLOS状态,miss情况表示将NLOS状态识别为LOS状态,false情况发生的概率为PF,miss情况发生的概率为PM,总的识别错误的概率PE, Generate a simulation model of vehicle positioning, in the simulation model: use N gps to represent the number of vehicles with GPS positioning capability, N v to represent the total number of vehicles, and the number of vehicles whose positions are known is recorded as N know , and initialized to N know = N gps , the vehicle with GPS positioning capability is used as the anchor point for positioning the vehicle without GPS; the NLOS recognition error is divided into two cases: false and miss, the false case means that the LOS state is incorrectly identified as the NLOS state, The miss condition indicates that the NLOS state is identified as the LOS state, the probability of false occurrence is P F , the probability of miss occurrence is PM , and the total probability of identification error PE ,
第i辆车和第j辆车之间的测量距离的计算方法为:The calculation method of the measured distance between the i-th vehicle and the j-th vehicle is:
其中,表示车辆之间的测量距离,mij表示测量误差,nij表示NLOS误差,nij在LOS环境下为0。in, represents the measurement distance between vehicles, m ij represents the measurement error, n ij represents the NLOS error, and n ij is 0 in the LOS environment.
优选地,所述的利用车辆之间的测量距离通过TDOA算法计算出无GPS待测车辆的估计位置信息,包括:Preferably, using the measured distance between vehicles to calculate the estimated position information of the vehicle to be measured without GPS through the TDOA algorithm, including:
对于配置有车载GPS的车辆,通过车载GPS获取车辆的位置信息;For vehicles equipped with on-board GPS, obtain the location information of the vehicle through on-board GPS;
对于无车载GPS的待测车辆,该待测车辆与其通信范围内的其他全部车辆建立通信,将位置已知的其他车辆作为锚点,待测车辆通过测量往返时间来计算自身与锚点之间的距离,锚点将自身的位置信息发送给待测车辆,待测车辆利用自身与锚点之间的距离和锚点的位置信息通过TDOA算法计算得到待测车辆的位置信息,并将其位置信息反馈在车载的显示设备上。For a vehicle to be tested without on-board GPS, the vehicle to be tested establishes communication with all other vehicles within its communication range, and uses other vehicles with known positions as anchor points. The vehicle to be tested calculates the distance between itself and the anchor point by measuring the round-trip time. The anchor point sends its own position information to the vehicle to be tested. The vehicle to be tested uses the distance between itself and the anchor point and the position information of the anchor point to calculate the position information of the vehicle to be tested through the TDOA algorithm, and calculates its position. The information is fed back on the on-board display device.
优选地,所述的计算出所述无GPS待测车辆的估计位置的定位误差,根据定位误差计算出中断概率,包括:Preferably, the calculating the positioning error of the estimated position of the vehicle to be measured without GPS, and calculating the interruption probability according to the positioning error, including:
所述无GPS待测车辆的估计位置和实际位置之间的欧氏距离为定位误差,该定位误差的计算公式为:The Euclidean distance between the estimated position and the actual position of the vehicle to be tested without GPS is the positioning error, and the calculation formula of the positioning error is:
其中,ei表示第i辆车的定位误差,Pi表示第i辆车的真实位置坐标,为第i辆车的估计位置坐标;Among them, e i represents the positioning error of the i-th vehicle, P i represents the real position coordinates of the i-th vehicle, is the estimated position coordinates of the i-th vehicle;
求取所有无GPS待测车辆的定位误差ei的平均值e:Find the average value e of the positioning errors e i of all vehicles to be tested without GPS:
其中,Ii是一个指示函数,当第i辆车有GPS时Ii=0,否则Ii=1;Wherein, I i is an indicator function, I i =0 when the i-th vehicle has GPS, otherwise I i =1;
给定一个最大允许定位误差eth,当估算位置与实际位置的距离超过eth时,则确定出现中断,无法实现定位,把出现中断的概率记作Pout,由蒙特卡罗方法计算出规定的eth下的中断概率Pout(eth):Given a maximum allowable positioning error e th , when the distance between the estimated position and the actual position exceeds e th , it is determined that there is an interruption and the positioning cannot be achieved, and the probability of interruption is recorded as P out , which is calculated by the Monte Carlo method. Outage probability P out (e th ) under eth of :
是一个指示函数,当时,反之 is an indicator function, when hour, on the contrary
优选地,所述的确定所述无GPS待测车辆的定位参数,包括:Preferably, the determining the positioning parameters of the vehicle to be measured without GPS includes:
统计所述无GPS待测车辆的当前定位场景发生NLOS传播的概率PNLOS,在测试路段部署车顶带有摄像装置的两辆测试用车,若两车的摄像装置均能够观测到彼此,则认为当前路径是LOS径;反之,则为NLOS径,不断改变两车的位置,并重复以上操作,以获得多条链路的NLOS/LOS状态信息,PNLOS由蒙特卡洛方法估计得到,即:Calculate the probability P NLOS of NLOS propagation in the current positioning scene of the vehicle to be tested without GPS, and deploy two test vehicles with cameras on the roofs in the test section. If the cameras of the two vehicles can observe each other, then It is considered that the current path is the LOS path; otherwise, it is the NLOS path, and the positions of the two vehicles are constantly changed, and the above operations are repeated to obtain the NLOS/LOS state information of multiple links. The P NLOS is estimated by the Monte Carlo method, that is, :
其中,Ilink是一个指示函数,其表示为:Among them, I link is an indicator function, which is expressed as:
对Ilink取均值,得到PNLOS的值;Take the mean value of I link to get the value of P NLOS ;
利用NLOS identification对每条链路进行识别,并将每条链路的LOS/NLOS状态信息识别结果与真实状态对比,若真实状态为LOS,但识别结果为NLOS,则发生false类型的错误;若真实状态为NLOS,但识别结果为LOS,则为miss,在确定了false和miss的样本数量之后,两种误识别概率PF和PM由下式计算得到:Use NLOS identification to identify each link, and compare the LOS/NLOS status information identification result of each link with the real status. If the real status is LOS, but the identification result is NLOS, a false type error occurs; The true state is NLOS, but the recognition result is LOS, then it is miss. After determining the number of false and miss samples, the two misrecognition probabilities PF and PM are calculated by the following formulas:
记录所述无GPS待测车辆的通信范围r的大小。Record the size of the communication range r of the vehicle to be tested without GPS.
优选地,所述的根据所述定位参数通过对比得到在不同的场景下能够达到最低的中断概率时所采用的最佳定位策略,包括:Preferably, the optimal positioning strategy adopted when the lowest interruption probability can be achieved in different scenarios is obtained through comparison according to the positioning parameters, including:
设定仅识别和先识别后校准两种定位策略,所述仅识别定位策略表示仅使用NLOSidentification,对识别为NLOS的信号数据予以丢弃,只利用LOS信号进行定位计算,所述先识别后校准策略则先进行NLOS identification,再将被识别为NLOS数据经过mitigation校准NLOS误差,之后再把全部数据用于对目标车辆位置的估计;Two positioning strategies are set: identification only and first identification and then calibration. The identification only positioning strategy means that only NLOSidentification is used, the signal data identified as NLOS is discarded, and only the LOS signal is used for positioning calculation, and the first identification is calibrated after the strategy. Then, perform NLOS identification first, and then calibrate the NLOS error of the NLOS data identified as NLOS through mitigation, and then use all the data to estimate the position of the target vehicle;
基于不同场景下出现中断的概率最小的原则,设定不同场景下的最佳定位策略表如表二所示:Based on the principle of the smallest probability of interruption in different scenarios, the optimal positioning strategy table in different scenarios is set as shown in Table 2:
表二Table II
根据所述无GPS待测车辆对应的通信范围r、PNLOS、误识别概率PF和PM的值查询上述表二获取最佳定位策略。According to the values of the communication range r, P NLOS , misrecognition probability PF and PM corresponding to the vehicle to be tested without GPS, query the above Table 2 to obtain the best positioning strategy.
由上述本发明的实施例提供的技术方案可以看出,本发明结合NLOSidentification与mitigation技术提出了一种GPS辅助的车辆定位算法,并利用该算法对NLOS传播对车辆定位的精度的影响进行了仿真,给出了不同的定位场景和定位策略下的车辆定位精度对比,给出了不同环境下的定位策略的选取方案,进一步提高了车辆定位的精度,为5G背景下的基于精确位置信息的车联网应用的实现与推广做出了贡献。It can be seen from the technical solutions provided by the above embodiments of the present invention that the present invention proposes a GPS-assisted vehicle positioning algorithm by combining NLOS identification and mitigation technologies, and uses this algorithm to simulate the impact of NLOS propagation on the accuracy of vehicle positioning. , the comparison of vehicle positioning accuracy under different positioning scenarios and positioning strategies is given, and the selection scheme of positioning strategies in different environments is given, which further improves the accuracy of vehicle positioning, and is a vehicle based on precise position information under the background of 5G. Contributed to the realization and promotion of networking applications.
本发明附加的方面和优点将在下面的描述中部分给出,这些将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be set forth in part in the following description, which will be apparent from the following description, or may be learned by practice of the present invention.
附图说明Description of drawings
为了更清楚地说明本发明实施例的技术方案,下面将对实施例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一些实施例,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,还可以根据这些附图获得其他的附图。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the following briefly introduces the accompanying drawings used in the description of the embodiments. Obviously, the drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without any creative effort.
图1为本发明实施例提供的一种GPS辅助的协作式的车辆定位算法的方法的处理流程图;1 is a process flow diagram of a method for a GPS-assisted collaborative vehicle positioning algorithm provided by an embodiment of the present invention;
图2为本发明实施例提供的三种不同的误识别概率下,采用“仅识别”的定位中断概率。FIG. 2 shows a positioning interruption probability of “identification only” under three different misrecognition probabilities provided by an embodiment of the present invention.
图3为本发明实施例提供的三种不同的误识别概率下,采用“先识别后校准”的定位中断概率。FIG. 3 shows the positioning interruption probability using "identification first and calibration later" under three different misrecognition probabilities provided by an embodiment of the present invention.
图4为本发明实施例提供的当r=200m时,在相同的误识别概率下,不同的PF和PM采用“仅识别”的定位中断概率。Fig. 4 is provided by an embodiment of the present invention when r=200m, under the same probability of misidentification, different PFs and PMs adopt "identification-only" positioning interruption probability.
图5为本发明实施例提供的当r=200m时,在相同的误识别概率下,不同的PF和PM采用“先识别后校准”的定位中断概率。FIG. 5 shows that when r=200m, under the same misrecognition probability, different PFs and PMs adopt the positioning interruption probability of “recognize first and then calibrate” according to an embodiment of the present invention.
图6为本发明实施例提供的当r=500m时,在相同的误识别概率下,不同的PF和PM采用“仅识别”的定位中断概率。FIG. 6 shows that when r=500m, under the same misrecognition probability, different PFs and PMs adopt the “recognition-only” positioning interruption probability according to an embodiment of the present invention.
图7为本发明实施例提供的当r=500m时,在相同的误识别概率下,不同的PF和PM采用“先识别后校准”的定位中断概率。FIG. 7 shows that when r=500m, under the same misrecognition probability, different PFs and PMs adopt the positioning interruption probability of “recognize first and then calibrate” according to an embodiment of the present invention.
图8为本发明实施例提供的一种测量距离的的示意图。FIG. 8 is a schematic diagram of a distance measurement according to an embodiment of the present invention.
图9为本发明实施例提供的一种车辆定位的流程图。FIG. 9 is a flowchart of a vehicle positioning according to an embodiment of the present invention.
图10为本发明实施例提供的一种定位误差的示意图。FIG. 10 is a schematic diagram of a positioning error according to an embodiment of the present invention.
具体实施方式Detailed ways
下面详细描述本发明的实施方式,所述实施方式的示例在附图中示出,其中自始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元件。下面通过参考附图描述的实施方式是示例性的,仅用于解释本发明,而不能解释为对本发明的限制。Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein the same or similar reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, but not to be construed as a limitation of the present invention.
本技术领域技术人员可以理解,除非特意声明,这里使用的单数形式“一”、“一个”、“所述”和“该”也可包括复数形式。应该进一步理解的是,本发明的说明书中使用的措辞“包括”是指存在所述特征、整数、步骤、操作、元件和/或组件,但是并不排除存在或添加一个或多个其他特征、整数、步骤、操作、元件、组件和/或它们的组。应该理解,当我们称元件被“连接”或“耦接”到另一元件时,它可以直接连接或耦接到其他元件,或者也可以存在中间元件。此外,这里使用的“连接”或“耦接”可以包括无线连接或耦接。这里使用的措辞“和/或”包括一个或更多个相关联的列出项的任一单元和全部组合。It will be understood by those skilled in the art that the singular forms "a", "an", "the" and "the" as used herein can include the plural forms as well, unless expressly stated otherwise. It should be further understood that the word "comprising" used in the description of the present invention refers to the presence of stated features, integers, steps, operations, elements and/or components, but does not exclude the presence or addition of one or more other features, Integers, steps, operations, elements, components and/or groups thereof. It will be understood that when we refer to an element as being "connected" or "coupled" to another element, it can be directly connected or coupled to the other element or intervening elements may also be present. Furthermore, "connected" or "coupled" as used herein may include wirelessly connected or coupled. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
本技术领域技术人员可以理解,除非另外定义,这里使用的所有术语(包括技术术语和科学术语)具有与本发明所属领域中的普通技术人员的一般理解相同的意义。还应该理解的是,诸如通用字典中定义的那些术语应该被理解为具有与现有技术的上下文中的意义一致的意义,并且除非像这里一样定义,不会用理想化或过于正式的含义来解释。It will be understood by those skilled in the art that, unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It should also be understood that terms such as those defined in the general dictionary should be understood to have meanings consistent with their meanings in the context of the prior art and, unless defined as herein, are not to be taken in an idealized or overly formal sense. explain.
为便于对本发明实施例的理解,下面将结合附图以几个具体实施例为例做进一步的解释说明,且各个实施例并不构成对本发明实施例的限定。In order to facilitate the understanding of the embodiments of the present invention, the following will take several specific embodiments as examples for further explanation and description in conjunction with the accompanying drawings, and each embodiment does not constitute a limitation to the embodiments of the present invention.
本发明旨在研究NLOS identification的识别错误与定位精度之间的关系,并据此改善车辆定位的精度。提出了一种用于仿真的GPS辅助的协同定位算法,并将识别错误的情况分为了false和miss两种类别,false类别是指将LOS状态错误地识别为NLOS状态,miss类别是指将NLOS状态错误地识别为LOS状态。该方法得到了两类不同识别错误概率下的采用不同定位策略时的定位性能对比。在此基础之上,总结了在不同的环境下定位精度最高的定位策略。以此为参照,可以在已知两种识别错误概率的前提下,获得更高的定位精度。The invention aims to study the relationship between the recognition error of NLOS identification and the positioning accuracy, and improve the vehicle positioning accuracy accordingly. A GPS-assisted co-location algorithm for simulation is proposed, and the recognition errors are divided into two categories: false and miss. The false category refers to the wrong identification of the LOS state as the NLOS state, and the miss category refers to the NLOS status. Status incorrectly identified as LOS status. The method obtains the comparison of localization performance under two different recognition error probabilities when using different localization strategies. On this basis, the positioning strategies with the highest positioning accuracy in different environments are summarized. Taking this as a reference, higher positioning accuracy can be obtained on the premise that the two recognition error probabilities are known.
本发明实施例提供的一种GPS辅助的NLOS传播场景下的车辆定位方法的处理流程图如图1所示,该方法可以提高NLOS传播场景下车辆定位精度,具体步骤如下:A processing flow chart of a vehicle positioning method in a GPS-assisted NLOS propagation scenario provided by an embodiment of the present invention is shown in FIG. 1 , the method can improve the vehicle positioning accuracy in the NLOS propagation scenario, and the specific steps are as follows:
步骤S1:生成车辆定位的仿真模型。Step S1: Generate a simulation model of vehicle positioning.
本发明实施例提供了一种GPS辅助的协作式的车辆定位算法。在该算法中,每辆车既可能是位置信息一致的锚点,亦可能是位置未知的待测点,这取决于该车辆是否具有通过GPS获取自身位置信息的能力。这里对该算法进行具体说明:用Ngps代表有GPS定位能力的车辆数,Nv代表车辆总数。首先,将自身位置已知的车辆数记作Nknow,并将其初始化为Nknow=Ngps。之后进行迭代。每次迭代检索全部的车辆,若第i辆车的位置已知,则不再对其进行任何操作。若其位置未知,则首先检查其通信范围内位置已知的其他车辆(即可作为锚点的车辆)数量是否大于等于3个,若是,则利用TDOA(time difference of arrival,到达时间差)算法计算得到第i辆车的位置,并使Nknow=Nknow+1;若否,则不进行任何操作。如此迭代,直至Nknow=Nv,即全部的车辆位置均已得到,停止算法。The embodiment of the present invention provides a GPS-assisted cooperative vehicle positioning algorithm. In this algorithm, each vehicle may be either an anchor point with consistent location information, or a point to be measured whose location is unknown, depending on whether the vehicle has the ability to obtain its own location information through GPS. The algorithm is described in detail here: N gps is used to represent the number of vehicles with GPS positioning capability, and N v is used to represent the total number of vehicles. First, the number of vehicles whose own positions are known is denoted as N know , and initialized as N know =N gps . Then iterate. All vehicles are retrieved in each iteration, and if the position of the i-th vehicle is known, no further operations are performed on it. If its position is unknown, first check whether the number of other vehicles with known positions within its communication range (that is, vehicles that can be used as anchor points) is greater than or equal to 3. If so, use the TDOA (time difference of arrival, time difference of arrival) algorithm to calculate Get the position of the i-th vehicle and make N know =N know +1; if not, do nothing. Iterate in this way until N know =N v , that is, all vehicle positions have been obtained, and the algorithm is stopped.
本发明将NLOS识别错误的情况具体分成了false(将LOS状态错误地识别为NLOS状态)和miss(将NLOS状态识别为LOS状态)两类,分别定义两种情况发生的概率为PF和PM。并定义总的识别错误的概率PE,且有同时,给出了“仅识别”和“先识别后校准”两种定位策略。其中,“仅识别”策略表示仅使用NLOS identification,对识别为NLOS的信号数据予以丢弃,只利用LOS信号进行定位计算。另外,如果最终识别得到的LOS径的数量少于3,无法进行定位计算,规定此时的定位误差为无穷大;“先识别后校准”则先进行NLOSidentification,再将被识别为NLOS数据经过mitigation校准NLOS误差,之后再把全部数据用于对目标车辆位置的估计。The present invention specifically divides the NLOS recognition error into two categories: false (the LOS state is erroneously recognized as the NLOS state) and miss (the NLOS state is recognized as the LOS state), and the probability of occurrence of the two situations is defined as P F and P M. And define the total probability of identification error PE , and have At the same time, two positioning strategies of "recognition only" and "calibration after identification" are given. Among them, the "identification only" strategy means that only NLOS identification is used, the signal data identified as NLOS is discarded, and only the LOS signal is used for positioning calculation. In addition, if the number of LOS paths finally identified is less than 3, the positioning calculation cannot be performed, and the positioning error at this time is specified to be infinite; "first identification and then calibration", NLOS identification is performed first, and then the identified NLOS data is subjected to mitigation calibration. NLOS error, and then use all the data to estimate the position of the target vehicle.
接着,本发明实施例建立了NLOS环境下应用上述算法对车辆定位的仿真场景。仿真场景信息及仿真参数在表一中列出。Next, the embodiment of the present invention establishes a simulation scene in which the above algorithm is applied to locate the vehicle in the NLOS environment. The simulation scene information and simulation parameters are listed in Table 1.
表一 仿真场景信息及仿真参数Table 1 Simulation scene information and simulation parameters
在仿真中,用PNLOS表示发生NLOS传播的概率,PNLOS越大,代表定位目标所处的环境越复杂。并给出定位的误差门限eth,当定位的误差超过eth时,认为发生定位中断。定位中断的概率用Pout表示,由蒙特卡洛方法计算得到。本发明用Pout来表示车辆定位的精度。In the simulation, P NLOS is used to represent the probability of NLOS propagation. The larger the P NLOS , the more complex the environment where the target is located. The positioning error threshold eth is given. When the positioning error exceeds eth , it is considered that positioning interruption occurs. The probability of positioning interruption is denoted by P out , which is calculated by the Monte Carlo method. In the present invention, P out is used to represent the accuracy of vehicle positioning.
本发明的仿真分为三部分。在第一部分,我们设置了三组[PF,PM],分别为[0,0]、[0.05,0.05]、[0.1,0.1]。仿真参数按照表一所示的设置,两种策略下三组[PF,PM]的Pout随PNLOS的变化曲线如图2和图3所示。在第二部分,参数仍然按照表一设置,三组[PF,PM]的值分别被设置为[0.2,0.2]、[0,0.4]、[0.4,0],并在图4和图5中绘出采用“仅识别”和“先识别后校准”策略的Pout随PNLOS变化的曲线。第三部分中,将车辆之间的最大通信距离r增加到500m,其他参数的取值仍与表一一致。三组[PF,PM]与第二部分相同,其Pout的曲线如图6和图7所示。The simulation of the present invention is divided into three parts. In the first part, we set three groups of [P F , P M ], which are [0,0], [0.05, 0.05], [0.1, 0.1] respectively. The simulation parameters are set according to the settings shown in Table 1. The variation curves of P out with P NLOS of the three groups of [ PF , P M ] under the two strategies are shown in Figures 2 and 3. In the second part, the parameters are still set according to Table 1, and the values of the three groups of [P F , P M ] are set to [0.2, 0.2], [0, 0.4], [0.4, 0] respectively, and the values shown in Figure 4 and Figure 5 plots P out versus P NLOS using the "identify only" and "identify before calibration" strategies. In the third part, the maximum communication distance r between vehicles is increased to 500m, and the values of other parameters are still consistent with Table 1. The three groups [P F , P M ] are the same as the second part, and the curves of P out are shown in Fig. 6 and Fig. 7 .
通过仿真结果的分析,得到几点结论:(1)NLOS identification的准确率会对定位性能造成比较大的影响。(2)若NLOS发生概率比较低,“仅识别”的策略能够较好地减低NLOS误差,而“先识别后校准”的策略由于mitigation存在偏差,表现不如“仅识别”;但是随着NLOS发生概率的增大,LOS状态的链路数小于3的可能增加,“先识别后校准”的性能逐渐优于“仅识别”。(3)当车辆通信范围r比较小时,若采用“仅识别”的策略,false类型的识别错误对定位精度的影响更大;若采用“先识别后校准”,则miss的影响更显著。(4)随着车辆通信范围r的扩大,上述关系发生变化。无论采取哪种策略,miss都是限制定位精度的最主要因素。Through the analysis of the simulation results, several conclusions are drawn: (1) The accuracy of NLOS identification will have a relatively large impact on the positioning performance. (2) If the probability of occurrence of NLOS is relatively low, the strategy of "identification only" can better reduce the NLOS error, while the strategy of "identify first and then calibrate" is not as good as "identification only" due to the bias of mitigation; but with the occurrence of NLOS As the probability increases, the number of links in the LOS state less than 3 may increase, and the performance of "identify first and then calibrate" is gradually better than "identify only". (3) When the vehicle communication range r is relatively small, if the strategy of "recognition only" is adopted, the recognition error of false type has a greater impact on the positioning accuracy; if the "recognition first and then calibration" is adopted, the impact of miss is more significant. (4) With the expansion of the vehicle communication range r, the above relationship changes. No matter which strategy is adopted, miss is the most important factor limiting the positioning accuracy.
最后,结合仿真的结果与分析得到的相关结论,我们在表二中总结出了建议的定位策略。借助表二,在测量得到PF和PM的前提下,可以选择得到能够达到更高的定位精度的定位策略。Finally, combined with the simulation results and the relevant conclusions obtained from the analysis, we summarize the proposed positioning strategy in Table 2. With the help of Table 2, on the premise of measuring PF and PM , a positioning strategy that can achieve higher positioning accuracy can be selected.
表二 不同场景下建议的定位策略Table 2 Suggested positioning strategies in different scenarios
假设道路为矩形,其长为Sl,宽为Sw。建立道路的二维平面坐标系,并在x∈[0,Sl],y∈[0,Sw]的矩形范围内随机生成Nv个不重合的点以表示Nv辆车,并将Nv辆车从1到Nv进行编号。接着,由给出的Pgps在Nv辆车中随机确定Ngps辆带有GPS的车。上述参数的取值在表一中列出。Suppose the road is a rectangle whose length is S l and its width is S w . A two-dimensional plane coordinate system of the road is established, and N v non-coincident points are randomly generated within the rectangular range of x∈[0, S l ], y∈[0, S w ] to represent N v vehicles, and the N v vehicles are numbered from 1 to N v . Next, N gps vehicles with GPS are randomly determined among N v vehicles by the given P gps . The values of the above parameters are listed in Table 1.
步骤S2:确定车辆之间的测量距离。Step S2: Determine the measured distance between vehicles.
第i辆车和第j辆车之间的测量距离可以表示为:The measured distance between the ith vehicle and the jth vehicle can be expressed as:
其中,表示车辆之间的测量距离,mij表示测量误差,nij表示NLOS误差。由(1)式可知,车辆之间的测量距离由真实距离、测量误差和NLOS传播造成的误差三部分构成。其中,nij在LOS环境下为0。如图8所示,测量所有车辆之间的距离,加上测量噪声,生成一个大小为Nv×Nv的矩阵R,其中的元素rij表示在LOS传播下测得的第i辆车和第j辆车之间的距离,因此有rij=rji和rii=0。在R的基础上加上NLOS误差,得到一个相同大小的矩阵RNLOS,其表示受NLOS噪声污染后的测量数据。从矩阵RNLOS中,按照给定的PNLOS的概率抽取数据作为NLOS径的测量值;从矩阵R中,按照1-PNLOS的概率抽取LOS径的测量值。in, represents the measured distance between vehicles, m ij represents the measurement error, and n ij represents the NLOS error. It can be seen from equation (1) that the measurement distance between vehicles consists of three parts: the real distance, the measurement error and the error caused by NLOS propagation. Among them, n ij is 0 in the LOS environment. As shown in Figure 8, the distances between all vehicles are measured, and the measurement noise is added to generate a matrix R of size N v ×N v , where the elements r ij represent the ith vehicle and the ith vehicle measured under LOS propagation. The distance between the jth vehicle, therefore r ij =r ji and r ii =0. The NLOS error is added to R to obtain a matrix R NLOS of the same size, which represents the measurement data polluted by NLOS noise. From the matrix R NLOS , extract the data according to the given probability of P NLOS as the measurement value of NLOS path; from the matrix R, extract the measurement value of LOS path according to the probability of 1-P NLOS .
步骤S3:对车辆进行定位。Step S3: Locating the vehicle.
图9为本发明实施例提供的一种车辆定位的流程图,如图9所示,对车辆的定位分为两种情况:FIG. 9 is a flowchart of a vehicle positioning provided by an embodiment of the present invention. As shown in FIG. 9 , the positioning of the vehicle is divided into two situations:
(1)对于配置有GPS(或GNSS)的车辆,其位置由GPS直接得到。具体地,车辆搭载的GPS接收机与GPS卫星建立链接,并通过测量信号在卫星和接收机之间的RTT(round-triptime,往返时间),计算出二者之间的距离。在GPS接收机测量得到自身与三个及以上的GPS卫星之间的距离信息时,车辆的位置由TDOA算法计算得到,并将其反馈在车载的显示设备上。(1) For a vehicle equipped with GPS (or GNSS), its position is directly obtained from GPS. Specifically, the GPS receiver mounted on the vehicle establishes a link with the GPS satellite, and calculates the distance between the two by measuring the RTT (round-triptime, round-trip time) of the signal between the satellite and the receiver. When the GPS receiver measures the distance information between itself and three or more GPS satellites, the position of the vehicle is calculated by the TDOA algorithm and fed back to the vehicle-mounted display device.
(2)对于无GPS的车辆,其位置通过本发明提出的协作式车辆定位算法获得。首先,当前车辆与其通信范围内的其他全部车辆建立通信,通过测量RTT计算自身与其他车辆之间的距离。与此同时,其他位置已知的车辆(包括由GPS定位的车辆和通过此方法定位的车辆)将自身的位置发送给当前待定位的车辆。最后,将位置已知的其他车辆作为参考点(锚点),并利用车辆之间的距离信息,通过TDOA算法计算得到待测车辆的位置信息,并将其反馈在车载的显示设备上。(2) For a vehicle without GPS, its position is obtained through the cooperative vehicle positioning algorithm proposed by the present invention. First, the current vehicle establishes communication with all other vehicles within its communication range, and calculates the distance between itself and other vehicles by measuring RTT. At the same time, other vehicles whose positions are known (including vehicles located by GPS and vehicles located by this method) send their own positions to the vehicle to be located currently. Finally, other vehicles with known positions are used as reference points (anchor points), and the distance information between vehicles is used to calculate the position information of the vehicle to be tested through the TDOA algorithm, and feed it back to the on-board display device.
步骤S4:估计定位误差。Step S4: Estimate the positioning error.
图10为本发明实施例提供的一种定位误差的示意图。如图10所示,本发明中,定位误差指的是估计位置和实际位置之间的欧氏距离,即:FIG. 10 is a schematic diagram of a positioning error according to an embodiment of the present invention. As shown in Figure 10, in the present invention, the positioning error refers to the Euclidean distance between the estimated position and the actual position, namely:
其中,ei表示第i辆车的定位误差,Pi表示第i辆车的真实位置坐标,为第i辆车的估计位置坐标。需要指出的是,由于本发明关注的是NLOS场景下的定位精度,而非GPS定位的精度,本发明仅统计无GPS的车辆的定位误差。即对于每次定位,计算系统中全部的无GPS的车辆的定位误差,并求取定位误差的平均值e。具体地,e可以用如下方法获得:Among them, e i represents the positioning error of the i-th vehicle, P i represents the real position coordinates of the i-th vehicle, is the estimated position coordinates of the i-th vehicle. It should be noted that, since the present invention focuses on the positioning accuracy in the NLOS scenario rather than the GPS positioning accuracy, the present invention only counts the positioning errors of vehicles without GPS. That is, for each positioning, the positioning errors of all vehicles without GPS in the system are calculated, and the average value e of the positioning errors is obtained. Specifically, e can be obtained as follows:
其中,Ii是一个指示函数,当第i辆车有GPS时Ii=0,否则Ii=1。Among them, I i is an indicator function, I i =0 when the i-th vehicle has GPS, otherwise I i =1.
步骤S5:计算中断概率Pout。Step S5: Calculate the outage probability P out .
给定一个最大允许定位误差eth(单位为m),当估算位置与实际位置的距离超过eth时,则认定出现“中断”,即无法实现定位,把出现中断的概率记作Pout,并以可以由蒙特卡罗方法得到,具体地:Given a maximum allowable positioning error eth (unit is m), when the distance between the estimated position and the actual position exceeds eth , it is determined that "interruption" occurs, that is, positioning cannot be achieved, and the probability of interruption is recorded as P out , and can be obtained by Monte Carlo method, specifically:
其中,是一个指示函数,当时,反之这样在规定的eth下的中断概率Pout(eth)可以通过多次实验,并对取均值得到。in, is an indicator function, when hour, on the contrary In this way, the outage probability P out (e th ) under the specified eth can be tested many times, and the take the mean get.
步骤6:选取最佳定位策略。Step 6: Choose the best positioning strategy.
通过对比,得到在不同的场景下能够达到最低的中断概率时所采用的定位策略。具体方法为:By comparison, the positioning strategy adopted when the lowest interruption probability can be achieved in different scenarios is obtained. The specific method is:
(1)设置车辆通信范围为200m,比较不同策略下的中断概率,也即横向对比图3和图4。假设PF>PM,观测比对在不同的PNLOS下两种定位策略下中断概率Pout的值(即用下三角标记的点线),从而确定当r=200m且PF>PM时,能够使得Pout尽可能低(也即定位精度尽可能高)的策略;同样的,假设PF<PM,对比两种策略的中断概率(即用五角星标记的虚线),得到r=200m且PF<PM时的最佳定位策略。(1) Set the vehicle communication range to 200m, and compare the interruption probability under different strategies, that is, compare Figure 3 and Figure 4 horizontally. Assuming P F > P M , observe and compare the value of the outage probability P out (ie, the dotted line marked with a lower triangle) under the two positioning strategies under different P NLOS , so as to determine when r=200m and P F > P M , a strategy that can make P out as low as possible (that is, the positioning accuracy is as high as possible); similarly, assuming P F < P M , compare the interruption probability of the two strategies (that is, the dotted line marked with a five-pointed star), and obtain r The optimal positioning strategy when PF = 200m and PF < PM.
(2)分别使车辆通信范围为300m和500m,重复上述步骤。(2) Set the vehicle communication range to 300m and 500m respectively, and repeat the above steps.
(3)把通过以上步骤得到的各种场景下的最佳定位策略总结成表二的形式。(3) The optimal positioning strategies in various scenarios obtained through the above steps are summarized in the form of Table 2.
需要指出的是,表二在这里并不是固定不变的,根据定位场景和定位参数的不同,其会发生变化。本发明仅仅提供一种提高定位精度思路和方法,具体的应用应视情况做出调整。It should be pointed out that Table 2 is not fixed here, and will change according to different positioning scenarios and positioning parameters. The present invention only provides an idea and method for improving the positioning accuracy, and the specific application should be adjusted according to the situation.
步骤7:确定定位参数Step 7: Determine Positioning Parameters
(1)统计当前定位场景的发生NLOS传播的概率,即PNLOS。在测试路段部署车顶带有摄像装置的两辆测试用车,若两车的摄像装置均可以观测到彼此,则认为当前路径是LOS径;反之,则为NLOS径。不断改变两车的位置,并重复以上操作,以获得多条链路的NLOS/LOS状态信息。PNLOS可以由蒙特卡洛方法估计得到,即:(1) Count the probability of occurrence of NLOS propagation in the current positioning scene, that is, P NLOS . Two test vehicles with cameras on the roofs are deployed on the test section. If the cameras of the two vehicles can observe each other, the current path is considered to be the LOS path; otherwise, it is the NLOS path. Constantly change the positions of the two vehicles and repeat the above operations to obtain the NLOS/LOS status information of multiple links. P NLOS can be estimated by Monte Carlo method, namely:
其中,Ilink是一个指示函数,其表示为:Among them, I link is an indicator function, which is expressed as:
对Ilink取均值,即可得到PNLOS的值。Take the average value of I link to get the value of P NLOS .
(2)测量两种误识别概率,即PF和PM。在完成(1)中对PNLOS的测量时,同时可以获得每条链路的LOS/NLOS状态信息。利用NLOS identification对这些链路进行识别,并将链路的识别结果与真实状态对比,若真实状态为LOS,但识别结果为NLOS,则发生false类型的错误;若真实状态为NLOS,但识别结果为LOS,则为miss。在确定了false和miss的样本数量之后,PF和PM可以由下式计算得到:(2) Two misrecognition probabilities, ie PF and PM, are measured. When the P NLOS measurement in (1) is completed, the LOS/NLOS status information of each link can be obtained at the same time. Use NLOS identification to identify these links, and compare the identification result of the link with the real state. If the real state is LOS, but the identification result is NLOS, a false type error occurs; if the real state is NLOS, but the identification result For LOS, it is miss. After determining the number of false and miss samples, P F and P M can be calculated by:
(3)记录车辆的通信范围r的大小。r通常是一个已知的参数,仅需要在开始实际的定位之前,将r记录下来。(3) Record the size of the communication range r of the vehicle. r is usually a known parameter and only needs to be recorded before starting the actual positioning.
步骤8:对照不同场景下的最佳定位策略表,得出最佳的定位策略。Step 8: Comparing with the best positioning strategy table in different scenarios, the best positioning strategy is obtained.
表二 不同场景下建议的定位策略Table 2 Suggested positioning strategies in different scenarios
结合表二,由上一步确定的PF和PM的大小关系、r的值以及PNLOS的大小,可以确定一种最适合当前场景的定位策略,该策略具有相对较低的定位中断概率,也即定位性能更优。具体方法为:首先,根据车辆的通信范围,找到表格内对应的r的值;之后,由步骤7测量得到的PNLOS,找到表格内对应的PNLOS范围;最后,根据统计得到的PF和PM,比较并记录二者的大小关系。由以上三个条件,可以确定表格内定位精度最高的定位策略。选择使用该策略进行定,可以进一步提高车辆的定位精度。Combining with Table 2, from the size relationship between PF and PM determined in the previous step, the value of r and the size of PNLOS , a positioning strategy that is most suitable for the current scene can be determined. This strategy has a relatively low positioning interruption probability. That is, the positioning performance is better. The specific method is: first, according to the communication range of the vehicle, find the corresponding value of r in the table; then, find the corresponding P NLOS range in the table from the P NLOS measured in step 7; finally, according to the statistics obtained PF and P M , compare and record the size relationship between the two. From the above three conditions, the positioning strategy with the highest positioning accuracy in the table can be determined. Choosing to use this strategy for determination can further improve the positioning accuracy of the vehicle.
综上所述,本发明结合NLOS identification与mitigation技术提出了一种GPS辅助的车辆定位算法,并利用该算法对NLOS传播对车辆定位的精度的影响进行了仿真,给出了不同的定位场景和定位策略下的车辆定位精度对比,并对结果进行了分析。结合仿真结果与结论,本发明给出了不同环境下的定位策略的选取方案,进一步提高了车辆定位的精度,为5G背景下的基于精确位置信息的车联网应用的实现与推广做出了贡献。To sum up, the present invention proposes a GPS-assisted vehicle positioning algorithm by combining NLOS identification and mitigation technologies, and uses this algorithm to simulate the influence of NLOS propagation on the accuracy of vehicle positioning, and provides different positioning scenarios and methods. The vehicle positioning accuracy under the positioning strategy is compared, and the results are analyzed. Combined with the simulation results and conclusions, the present invention provides a selection scheme of positioning strategies in different environments, further improves the accuracy of vehicle positioning, and contributes to the realization and promotion of vehicle networking applications based on precise location information in the context of 5G. .
本发明实施例结合NLOS identification和mitigation技术提出了一种提高NLOS传播环境下车辆定位精度的方法。该方法中,把NLOS identification发生错误的情况进一步分为两类,并具体研究了这两类情况对定位精度的影响。在此基础上,归纳了在不同的车辆通信范围和发生NLOS传播的概率下,能够达到更到的定位精度的定位策略,并将之总结成表格的形式以供参照。通过参照该表格,可以有效地在现有NLOS identification和mitigation技术的支持下,进一步提高车辆的定位精度,为车联网技术的发展及其应用的研究与推广做出了一定贡献。The embodiment of the present invention proposes a method for improving vehicle positioning accuracy in an NLOS propagation environment by combining NLOS identification and mitigation technologies. In this method, the NLOS identification errors are further divided into two categories, and the influence of these two categories on the positioning accuracy is studied in detail. On this basis, the positioning strategies that can achieve better positioning accuracy under different vehicle communication ranges and the probability of NLOS propagation are summarized, and are summarized in a table form for reference. By referring to this table, the positioning accuracy of the vehicle can be further improved with the support of the existing NLOS identification and mitigation technologies, and it has made a certain contribution to the research and promotion of the development of the Internet of Vehicles technology and its application.
本领域普通技术人员可以理解:附图只是一个实施例的示意图,附图中的模块或流程并不一定是实施本发明所必须的。Those of ordinary skill in the art can understand that the accompanying drawing is only a schematic diagram of an embodiment, and the modules or processes in the accompanying drawing are not necessarily necessary to implement the present invention.
通过以上的实施方式的描述可知,本领域的技术人员可以清楚地了解到本发明可借助软件加必需的通用硬件平台的方式来实现。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该计算机软件产品可以存储在存储介质中,如ROM/RAM、磁碟、光盘等,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例或者实施例的某些部分所述的方法。From the description of the above embodiments, those skilled in the art can clearly understand that the present invention can be implemented by means of software plus a necessary general hardware platform. Based on this understanding, the technical solutions of the present invention can be embodied in the form of software products in essence or the parts that make contributions to the prior art. The computer software products can be stored in storage media, such as ROM/RAM, magnetic disks, etc. , CD, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods described in various embodiments or some parts of the embodiments of the present invention.
本说明书中的各个实施例均采用递进的方式描述,各个实施例之间相同相似的部分互相参见即可,每个实施例重点说明的都是与其他实施例的不同之处。尤其,对于装置或系统实施例而言,由于其基本相似于方法实施例,所以描述得比较简单,相关之处参见方法实施例的部分说明即可。以上所描述的装置及系统实施例仅仅是示意性的,其中所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部模块来实现本实施例方案的目的。本领域普通技术人员在不付出创造性劳动的情况下,即可以理解并实施。Each embodiment in this specification is described in a progressive manner, and the same and similar parts between the various embodiments may be referred to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the apparatus or system embodiments, since they are basically similar to the method embodiments, the description is relatively simple, and reference may be made to some descriptions of the method embodiments for related parts. The device and system embodiments described above are only illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, It can be located in one place, or it can be distributed over multiple network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution in this embodiment. Those of ordinary skill in the art can understand and implement it without creative effort.
以上所述,仅为本发明较佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明揭露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应该以权利要求的保护范围为准。The above description is only a preferred embodiment of the present invention, but the protection scope of the present invention is not limited to this. Substitutions should be covered within the protection scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.
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