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CN108111440A - A kind of subchannel estimation distance measuring method of OFDM - Google Patents

A kind of subchannel estimation distance measuring method of OFDM Download PDF

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CN108111440A
CN108111440A CN201711469397.9A CN201711469397A CN108111440A CN 108111440 A CN108111440 A CN 108111440A CN 201711469397 A CN201711469397 A CN 201711469397A CN 108111440 A CN108111440 A CN 108111440A
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csi
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田增山
廉颖慧
周牧
杨小龙
李泽
张千坤
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Chongqing University of Post and Telecommunications
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03178Arrangements involving sequence estimation techniques
    • H04L25/03248Arrangements for operating in conjunction with other apparatus
    • H04L25/03292Arrangements for operating in conjunction with other apparatus with channel estimation circuitry
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0224Channel estimation using sounding signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006Arrangements for removing intersymbol interference
    • H04L25/03178Arrangements involving sequence estimation techniques
    • H04L25/03312Arrangements specific to the provision of output signals

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  • Computer Networks & Wireless Communication (AREA)
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Abstract

本发明提出了一种OFDM的子信道估计测距方法。该测距方法分为参数估计阶段和距离估计阶段。在参数估计阶段,首先在测距区域随机选择一个定标点,并且测量该定标点到接入点(Access Point,AP)的距离;然后AP从来自定标点的数据中提取子信道状态信息(Channel Information State,CSI),同时对其进行滤波去噪和离群点检测;最后结合定标点到AP的距离与子信道CSI得到子信道信号传播模型。在距离估计阶段,首先对采集的子信道CSI进行滤波去噪;然后带入到子信道信号传播模型中进行距离估计,得到子信道距离;最后对子信道距离进行聚类,将类心的坐标作为目标到AP的距离。相比于传统的测距技术,本发明不需要进行CSI相位修正补偿,此外,本发明测距精度高,适用于多种测距场景。

The invention proposes an OFDM sub-channel estimation and ranging method. The ranging method is divided into a parameter estimation stage and a distance estimation stage. In the parameter estimation phase, first randomly select a calibration point in the ranging area, and measure the distance from the calibration point to the access point (Access Point, AP); then the AP extracts the sub-channel state information from the data from the calibration point (Channel Information State, CSI), filter denoising and outlier detection at the same time; finally combine the distance from the calibration point to the AP and the sub-channel CSI to obtain the sub-channel signal propagation model. In the distance estimation stage, first filter and denoise the collected sub-channel CSI; then bring it into the sub-channel signal propagation model for distance estimation to obtain the sub-channel distance; as the distance from the target to the AP. Compared with the traditional ranging technology, the present invention does not need to perform CSI phase correction and compensation. In addition, the present invention has high ranging accuracy and is applicable to various ranging scenarios.

Description

一种OFDM的子信道估计测距方法An OFDM Subchannel Estimation and Ranging Method

技术领域technical field

本发明涉及无线定位技术领域,特别涉及一种OFDM的子信道估计测距方法。The invention relates to the technical field of wireless positioning, in particular to an OFDM sub-channel estimation and ranging method.

背景技术Background technique

随着通信信息技术的发展和日益增长的位置服务需求,定位服务已成为了当下最热门的服务需求之一。对于室外的定位服务,目前的全球定位系统(Global PositioningSystem,GPS) 和北斗系统可以提供相对稳定的、精度较高位置服务,但是,在室内环境下由于来自卫星的信号会被建筑物或者地面遮挡,GPS以及北斗系统的定位效果会比较差。而且很多的室内位置服务需求需要很高的定位精度,比如在商场中查找商品的位置、应急救援以及特殊人群监护等。With the development of communication and information technology and the increasing demand for location-based services, location-based services have become one of the most popular service requirements at present. For outdoor positioning services, the current Global Positioning System (Global Positioning System, GPS) and Beidou system can provide relatively stable and high-precision location services. However, in indoor environments, signals from satellites will be blocked by buildings or the ground. , the positioning effect of GPS and Beidou system will be relatively poor. Moreover, many indoor location-based services require high positioning accuracy, such as finding the location of products in shopping malls, emergency rescue, and monitoring of special groups of people.

目前在室内定位领域的研究中,基于距离的测距算法主要分为三种方法,基于信号到达时间(Time of arrival,TOA)的测距算法,基于信号到达时间差(Time differenceof arrival, TDOA)的测距算法以及基于能量信息的测距算法。In the current research in the field of indoor positioning, distance-based ranging algorithms are mainly divided into three methods, ranging algorithms based on signal time of arrival (TOA) and ranging algorithms based on signal time difference of arrival (TDOA). Ranging algorithm and ranging algorithm based on energy information.

(1)基于信号到达时间的测距算法(1) Ranging algorithm based on signal arrival time

基于到达时间技术利用获得的传播时间乘以所处环境中信号的传播速度,从而得到定标点与待测节点之间的距离。它主要分为基于信号单程传播时间的测距和基于信号双程传播时间的测距。基于信号单程传播时间的测距算法在接收端需要知道信号从信号源发出的精确时刻来计算接收者与信号源之间的距离,因此这种方法对时钟的同步要求较高。基于信号双程传播时间的测距采用信号在信号源与接收者之间传播一个往返的时延(Round-Trip Time, RTT)。在往返时延测量过程中,信号源与接收者双方只需记录从自身发出信号直到接收到对方发出的信号之间的时间差,而无需记录自身发出信号或者接收信号的精确时刻。Based on the time of arrival technology, the obtained propagation time is multiplied by the propagation speed of the signal in the environment, so as to obtain the distance between the calibration point and the node to be measured. It is mainly divided into ranging based on signal one-way propagation time and ranging based on signal two-way propagation time. The ranging algorithm based on the one-way propagation time of the signal needs to know the precise moment when the signal is sent from the signal source at the receiving end to calculate the distance between the receiver and the signal source, so this method requires high clock synchronization. The distance measurement based on the round-trip propagation time of the signal adopts a round-trip time delay (Round-Trip Time, RTT) for the signal to propagate between the signal source and the receiver. In the round-trip delay measurement process, both the signal source and the receiver only need to record the time difference between sending out the signal and receiving the signal from the other party, without recording the precise moment when the signal is sent or received by itself.

(2)基于信号到达时间差的测距算法(2) Ranging algorithm based on signal time difference of arrival

基于到达时间差技术不需要十分精准的收发两端时钟同步,但是对本地时钟误差的要求较为苛刻,即接收者可以精确地测量信号的到达时间以及接收者(位置已知的参考点)之间需要做严格的时间同步。它的主要原理是定标点发送信号给待测节点,待测节点接收到信号后将其反射回定标点,利用定标点发送信号与接收到信号的时间差来计算出待测节点与定标点之间的距离。Time-of-arrival-based technology does not require very accurate clock synchronization at both ends of the transceiver, but the requirements for local clock errors are more stringent, that is, the receiver can accurately measure the arrival time of the signal and the receiver (reference point with known location) needs to Do strict time synchronization. Its main principle is that the calibration point sends a signal to the node to be tested, and the node to be tested reflects it back to the calibration point after receiving the signal, and uses the time difference between the signal sent by the calibration point and the signal received to calculate the distance between the node to be tested and the node to be measured. The distance between punctuation points.

(3)基于能量信息的距离估计(3) Distance estimation based on energy information

基于能量信息的距离估计方法使用(Received Signal Strength,RSS)信息,即通过事先测量发射端发送信号在不同位置的强度值来进行待测节点与定标点之间的距离。它的主要原理是信号在无线信道中传播时会发生衰减,更根据其衰减规律建立数学模型。常用的无线信道衰减模型是对数常态衰减模型。RSS对时钟和方向没有特殊的限制,也不需要增加额外的硬件来实现收发两端的同步以及角度衡量,并且成本小。但是传统的基于能量信息的距离估计所建立的传播模型的参数是固定的,当测距环境发生变化时,已建立的模型不能很好地反应信号的能量的变化,造成测距精度下降。The distance estimation method based on energy information uses (Received Signal Strength, RSS) information, that is, the distance between the node to be measured and the calibration point is determined by measuring the strength value of the signal sent by the transmitting end at different positions in advance. Its main principle is that the signal will attenuate when it propagates in the wireless channel, and a mathematical model is established according to its attenuation law. A commonly used wireless channel attenuation model is the logarithmic normal attenuation model. RSS has no special restrictions on the clock and direction, and does not need to add additional hardware to realize the synchronization and angle measurement of the sending and receiving ends, and the cost is small. However, the parameters of the propagation model established by traditional distance estimation based on energy information are fixed. When the ranging environment changes, the established model cannot well reflect the change of signal energy, resulting in a decrease in ranging accuracy.

发明内容Contents of the invention

基于上述现有室内定位的缺陷和不足,本发明提供了一种OFDM的子信道估计测距方法。相比于传统的测距技术,本发明不需要进行CSI相位修正补偿。此外,本发明测距精度高,适用于多种测距场景。Based on the defects and deficiencies of the above-mentioned existing indoor positioning, the present invention provides an OFDM sub-channel estimation and ranging method. Compared with the traditional ranging technology, the present invention does not need to perform CSI phase correction and compensation. In addition, the present invention has high ranging accuracy and is applicable to various ranging scenarios.

本发明所采用的技术方案为:一种OFDM的子信道估计测距方法,具体包括以下步骤:The technical scheme adopted in the present invention is: a sub-channel estimation ranging method of OFDM, specifically comprising the following steps:

1)在参数估计阶段,在目标所在的测距环境中随机选择1个定标点,同时测量所选择定标点到接入点(Access Point,AP)的距离;1) In the parameter estimation stage, a calibration point is randomly selected in the ranging environment where the target is located, and the distance from the selected calibration point to the Access Point (AP) is measured at the same time;

2)目标在所选定标点位置上发射数据,AP接收到达的数据,并且从中提取子信道状态信息(Channel State Information,CSI);2) The target transmits data at the selected punctuation position, and the AP receives the arriving data, and extracts the sub-channel state information (Channel State Information, CSI) from it;

3)使用巴特沃斯滤波器对步骤2)所得的子信道状态信息进行滤波,抑制高频率噪声,得到去噪后的子信道状态信息;3) Filter the sub-channel state information obtained in step 2) using a Butterworth filter, suppress high-frequency noise, and obtain denoised sub-channel state information;

4)结合所述步骤3)得到的子信道CSI与定标点到AP的距离,对信号传播模型进行参数估计,最终获得子信道信号传播模型;4) In combination with the sub-channel CSI obtained in the step 3) and the distance from the calibration point to the AP, the signal propagation model is parameterized, and finally the sub-channel signal propagation model is obtained;

5)在距离估计阶段,目标可以处于测距区域中的任何位置,并且发送数据,同时AP接收目标发送的数据,并且从接收的数据中提取出子信道CSI;5) In the distance estimation stage, the target can be at any position in the ranging area and send data, and at the same time, the AP receives the data sent by the target, and extracts the sub-channel CSI from the received data;

6)使用巴特沃斯滤波器对所述步骤5)中得到的子信道CSI进行去噪操作,得到滤波后的子信道CSI;6) using a Butterworth filter to perform a denoising operation on the sub-channel CSI obtained in step 5), to obtain filtered sub-channel CSI;

7)基于所述步骤6)得到的子信道CSI带入子信道信号传播模型中,得到子信道距离;7) The sub-channel CSI obtained based on the step 6) is brought into the sub-channel signal propagation model to obtain the sub-channel distance;

8)对所述步骤7)中得到的子信道距离进行聚类,将类心的坐标作为目标源到AP的距离;8) clustering the sub-channel distance obtained in the step 7), using the coordinates of the centroid as the distance from the target source to the AP;

2、基于权利要求1中所述的一种OFDM的子信道估计测距方法,其特征在于:所述步骤4) 中使用子信道估计方法以及基于相对密度的离群点检测算法得到子信道信号传播模型。具体包括:2, based on a kind of OFDM described in claim 1 sub-channel estimation ranging method, it is characterized in that: use sub-channel estimation method and the outlier detection algorithm based on relative density to obtain sub-channel signal in the described step 4) Spread model. Specifically include:

目前,采用对数-正态模型来表示室内环境中无线信号的路径衰减,其表示形式为:At present, the logarithmic-normal model is used to represent the path attenuation of wireless signals in indoor environments, and its expression is:

PR=P0-10γlg(d) (1)P R =P 0 -10γlg(d) (1)

式中,PR是接收到的信号能量值,P0是距离目标1m处的信号能量值,d是待测的目标与AP 之间的距离,γ是路径损耗系数,它的值越大表示信号的损耗程度越高。In the formula, P R is the received signal energy value, P 0 is the signal energy value at a distance of 1m from the target, d is the distance between the target to be measured and the AP, and γ is the path loss coefficient. The higher the degree of signal loss.

首先AP接收目标源在所选定标点上发送的数据,从接收的数据中提取子信道CSI,同时对得到的子信道CSI信息进行滤波去噪,将去噪后的CSI信息构成CSI矩阵,其表示形式为:First, the AP receives the data sent by the target source at the selected punctuation point, extracts the sub-channel CSI from the received data, and at the same time filters and de-noises the obtained sub-channel CSI information, and forms the CSI matrix with the de-noised CSI information. The representation is:

式中,csin,m表示接收的第n个数据包中的第m个子信道的csi值。In the formula, csi n,m represents the csi value of the mth subchannel in the received nth data packet.

然后将每个子信道作为一个独立的信道分别带入式(1)中,式(1)中接收信号的能量表示为:Then each sub-channel is brought into formula (1) as an independent channel, and the energy of the received signal in formula (1) is expressed as:

Pn,m=csin,m×conj(csin,m) (3)P n,m =csi n,m ×conj(csi n,m ) (3)

式中,Pn,m为接收的第n个数据包中的第m个子信道的信号能量值,conj(·)为取共轭。得到损耗系数的矩阵表示为:In the formula, P n,m is the signal energy value of the mth sub-channel in the received nth data packet, and conj(·) is the conjugate. The matrix of the obtained loss coefficient is expressed as:

式中,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数。where γ n,m is the estimated signal loss coefficient on the mth subchannel in the nth data packet.

接着将损耗矩阵按子信道的数目即矩阵的列数进行划分,得到30个子信道损耗系数点群,表示为:Then, the loss matrix is divided according to the number of sub-channels, that is, the number of columns of the matrix, and 30 sub-channel loss coefficient point groups are obtained, expressed as:

γ matrix=[γ12,…,γ30] (5)γ matrix=[γ 12 ,…,γ 30 ] (5)

式中,γm为第m个子信道的损耗系数构成的向量。In the formula, γ m is a vector composed of loss coefficients of the mth sub-channel.

利用基于相对密度的离群点检测算法对每一个子信道点群进行异常检测。首先指定近邻的个数p,对于指定的近邻个数,基于每个子信道损耗系数点群的最近邻分别计算它们的密度density(γn,m,p),其中γn,m为属于第m个子信道的第n个点,由此计算出每个点群的离群点得分;然后计算点的近邻平均密度,并使用下式计算点的平均相对密度:An outlier detection algorithm based on relative density is used to detect anomalies for each sub-channel point group. First, specify the number p of neighbors. For the specified number of neighbors, calculate their density density(γ n,m ,p) based on the nearest neighbors of each sub-channel loss coefficient point group, where γ n,m is the mth The nth point of the sub-channel, from which the outlier score of each point group is calculated; then the average density of the neighbors of the point is calculated, and the average relative density of the point is calculated using the following formula:

式中,N(γn,m,p)为目标γn,m的p近邻点群。这个量指示γn,m是否在比它的近邻更稠密或更稀疏的邻域内,并取作γn,m的离群点得分。接着将检测出的离群点剔除,同时对剩余的损耗系数点求平均,其表示形式为:In the formula, N(γ n,m ,p) is the p-nearest neighbor point group of the target γ n,m . This quantity indicates whether γ n,m is in a denser or sparser neighborhood than its neighbors, and is taken as the outlier score for γ n,m . Then the detected outliers are eliminated, and the remaining loss coefficient points are averaged at the same time, and the expression is:

式中,为最终的第m个子信道的损耗系数,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数,k为每个子信道上剔除离群点后剩余的损耗系数点。最终得到30个子信道的信号传播模型的损耗系数,表示为:In the formula, is the loss coefficient of the final m-th sub-channel, γ n,m is the estimated signal loss coefficient on the m-th sub-channel in the n-th data packet, and k is the remaining loss coefficient points after removing outliers on each sub-channel . Finally, the loss coefficient of the signal propagation model of 30 sub-channels is obtained, expressed as:

最后将估计的子信道信道损耗系数带入式(1)中,最终得到30个不同路径衰减系数的信号传播模型,表示为:Finally, the estimated sub-channel channel loss coefficient is brought into Equation (1), and finally the signal propagation model of 30 different path attenuation coefficients is obtained, expressed as:

式中,PR,m为第m个子信道上接收到的信号能量,P0,m为第m个子信道上距离目标1m处的信号能量值,为最终的第m个子信道的路径损耗系数。In the formula, P R,m is the signal energy received on the mth sub-channel, P 0,m is the signal energy value at the distance of 1m from the target on the mth sub-channel, is the path loss coefficient of the final mth subchannel.

所述步骤7)中进行目标到AP的子信道距离估计,具体包括:The step 7) carries out target to the sub-channel distance estimation of AP, specifically includes:

根据权利要求2中所述的方法,得到子信道信号传播模型。AP接收来自目标的多组数据,得到如式(2)所示的CSI矩阵。分别计算每一个子信道的信号能量值,其表示形式为:According to the method as claimed in claim 2, a sub-channel signal propagation model is obtained. The AP receives multiple sets of data from the target, and obtains the CSI matrix shown in formula (2). The signal energy value of each subchannel is calculated separately, and its expression is:

式中,CSIm为第m个子信道接收信号的能量值,csii,m为第i个数据包中第m个子信道所接收的CSI值,n为所接收的数据包数目,conj(·)为取共轭。将得到的30个子信道的信号能量值带入权利要求2中所得的子信道信号传播模型,得到30个不同的距离值,表示为:In the formula, CSI m is the energy value of the signal received by the mth sub-channel, csi i,m is the CSI value received by the mth sub-channel in the i-th data packet, n is the number of received data packets, conj(·) To take the conjugate. Bring the signal energy values of the obtained 30 sub-channels into the sub-channel signal propagation model obtained in claim 2 to obtain 30 different distance values, expressed as:

d=[d1,d2,…,d30] (11)d=[d 1 ,d 2 ,…,d 30 ] (11)

相比于传统的测距技术,本发明不需要进行CSI相位修正补偿。此外,本发明测距精度高,适用于多种测距场景。Compared with the traditional ranging technology, the present invention does not need to perform CSI phase correction and compensation. In addition, the present invention has high ranging accuracy and is applicable to various ranging scenarios.

附图说明Description of drawings

图1为本发明系统流程框图Fig. 1 is a system flow diagram of the present invention

具体实施方式Detailed ways

下面结合附图对本发明作进一步详细描述:Below in conjunction with accompanying drawing, the present invention is described in further detail:

本发明所采用的技术方案为:一种OFDM的子信道估计测距方法,具体包括以下步骤:The technical scheme adopted in the present invention is: a sub-channel estimation ranging method of OFDM, specifically comprising the following steps:

1)在参数估计阶段,在目标所在的测距环境中随机选择1个定标点,同时测量所选择定标点到接入点(Access Point,AP)的距离;1) In the parameter estimation stage, a calibration point is randomly selected in the ranging environment where the target is located, and the distance from the selected calibration point to the Access Point (AP) is measured at the same time;

2)目标在所选定标点位置上发射数据,AP接收到达的数据,并且从中提取子信道状态信息(Channel State Information,CSI);2) The target transmits data at the selected punctuation position, and the AP receives the arriving data, and extracts the sub-channel state information (Channel State Information, CSI) from it;

3)使用巴特沃斯滤波器对步骤2)所得的子信道状态信息进行滤波,抑制高频率噪声,得到去噪后的子信道状态信息;3) Filter the sub-channel state information obtained in step 2) using a Butterworth filter, suppress high-frequency noise, and obtain denoised sub-channel state information;

4)结合所述步骤3)得到的子信道CSI与定标点到AP的距离,对信号传播模型进行参数估计,最终获得子信道信号传播模型;4) In combination with the sub-channel CSI obtained in the step 3) and the distance from the calibration point to the AP, the signal propagation model is parameterized, and finally the sub-channel signal propagation model is obtained;

5)在距离估计阶段,目标可以处于测距区域中的任何位置,并且发送数据,同时AP接收目标发送的数据,并且从接收的数据中提取出子信道CSI;5) In the distance estimation stage, the target can be at any position in the ranging area and send data, and at the same time, the AP receives the data sent by the target, and extracts the sub-channel CSI from the received data;

6)使用巴特沃斯滤波器对所述步骤5)中得到的子信道CSI进行去噪操作,得到滤波后的子信道CSI;6) using a Butterworth filter to perform a denoising operation on the sub-channel CSI obtained in step 5), to obtain filtered sub-channel CSI;

7)基于所述步骤6)得到的子信道CSI带入子信道信号传播模型中,得到子信道距离;7) The sub-channel CSI obtained based on the step 6) is brought into the sub-channel signal propagation model to obtain the sub-channel distance;

8)对所述步骤7)中得到的子信道距离进行聚类,将类心的坐标作为目标源到AP的距离;8) clustering the sub-channel distance obtained in the step 7), using the coordinates of the centroid as the distance from the target source to the AP;

2、基于权利要求1中所述的一种OFDM的子信道估计测距方法,其特征在于:所述步骤4) 中使用子信道估计方法以及基于相对密度的离群点检测算法得到子信道信号传播模型。具体包括:2, based on a kind of OFDM described in claim 1 sub-channel estimation ranging method, it is characterized in that: use sub-channel estimation method and the outlier detection algorithm based on relative density to obtain sub-channel signal in the described step 4) Spread model. Specifically include:

目前,采用对数-正态模型来表示室内环境中无线信号的路径衰减,其表示形式为:At present, the logarithmic-normal model is used to represent the path attenuation of wireless signals in indoor environments, and its expression is:

PR=P0-10γlg(d) (1)P R =P 0 -10γlg(d) (1)

式中,PR是接收到的信号能量值,P0是距离目标1m处的信号能量值,d是待测的目标与AP 之间的距离,γ是路径损耗系数,它的值越大表示信号的损耗程度越高。In the formula, P R is the received signal energy value, P 0 is the signal energy value at a distance of 1m from the target, d is the distance between the target to be measured and the AP, and γ is the path loss coefficient. The higher the degree of signal loss.

首先AP接收目标源在所选定标点上发送的数据,从接收的数据中提取子信道CSI,同时对得到的子信道CSI信息进行滤波去噪,将去噪后的CSI信息构成CSI矩阵,其表示形式为:First, the AP receives the data sent by the target source at the selected punctuation point, extracts the sub-channel CSI from the received data, and at the same time filters and de-noises the obtained sub-channel CSI information, and forms the CSI matrix with the de-noised CSI information. The representation is:

式中,csin,m表示接收的第n个数据包中的第m个子信道的csi值。In the formula, csi n,m represents the csi value of the mth subchannel in the received nth data packet.

然后将每个子信道作为一个独立的信道分别带入式(1)中,式(1)中接收信号的能量表示为:Then each sub-channel is brought into formula (1) as an independent channel, and the energy of the received signal in formula (1) is expressed as:

Pn,m=csin,m×conj(csin,m) (3)P n,m =csi n,m ×conj(csi n,m ) (3)

式中,Pn,m为接收的第n个数据包中的第m个子信道的信号能量值,conj(·)为取共轭。得到损耗系数的矩阵表示为:In the formula, P n,m is the signal energy value of the mth sub-channel in the received nth data packet, and conj(·) is the conjugate. The matrix of the obtained loss coefficient is expressed as:

式中,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数。where γ n,m is the estimated signal loss coefficient on the mth subchannel in the nth data packet.

接着将损耗矩阵按子信道的数目即矩阵的列数进行划分,得到30个子信道损耗系数点群,表示为:Then, the loss matrix is divided according to the number of sub-channels, that is, the number of columns of the matrix, and 30 sub-channel loss coefficient point groups are obtained, expressed as:

γ matrix=[γ12,…,γ30] (5)γ matrix=[γ 12 ,…,γ 30 ] (5)

式中,γm为第m个子信道的损耗系数构成的向量。In the formula, γ m is a vector composed of loss coefficients of the mth sub-channel.

利用基于相对密度的离群点检测算法对每一个子信道点群进行异常检测。首先指定近邻的个数p,对于指定的近邻个数,基于每个子信道损耗系数点群的最近邻分别计算它们的密度density(γn,m,p),其中γn,m为属于第m个子信道的第n个点,由此计算出每个点群的离群点得分;然后计算点的近邻平均密度,并使用下式计算点的平均相对密度:An outlier detection algorithm based on relative density is used to detect anomalies for each sub-channel point group. First, specify the number p of neighbors. For the specified number of neighbors, calculate their density density(γ n,m ,p) based on the nearest neighbors of each sub-channel loss coefficient point group, where γ n,m is the mth The nth point of the sub-channel, from which the outlier score of each point group is calculated; then the average density of the neighbors of the point is calculated, and the average relative density of the point is calculated using the following formula:

式中,N(γn,m,p)为目标γn,m的p近邻点群。这个量指示γn,m是否在比它的近邻更稠密或更稀疏的邻域内,并取作γn,m的离群点得分。接着将检测出的离群点剔除,同时对剩余的损耗系数点求平均,其表示形式为:In the formula, N(γ n,m ,p) is the p-nearest neighbor point group of the target γ n,m . This quantity indicates whether γ n,m is in a denser or sparser neighborhood than its neighbors, and is taken as the outlier score for γ n,m . Then the detected outliers are eliminated, and the remaining loss coefficient points are averaged at the same time, and the expression is:

式中,为最终的第m个子信道的损耗系数,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数,k为每个子信道上剔除离群点后剩余的损耗系数点。最终得到30个子信道的信号传播模型的损耗系数,表示为:In the formula, is the loss coefficient of the final m-th sub-channel, γ n,m is the estimated signal loss coefficient on the m-th sub-channel in the n-th data packet, and k is the remaining loss coefficient points after removing outliers on each sub-channel . Finally, the loss coefficient of the signal propagation model of 30 sub-channels is obtained, expressed as:

最后将估计的子信道信道损耗系数带入式(1)中,最终得到30个不同路径衰减系数的信号传播模型,表示为:Finally, the estimated sub-channel channel loss coefficient is brought into Equation (1), and finally the signal propagation model of 30 different path attenuation coefficients is obtained, expressed as:

式中,PR,m为第m个子信道上接收到的信号能量,P0,m为第m个子信道上距离目标1m处的信号能量值,为最终的第m个子信道的路径损耗系数。In the formula, P R,m is the signal energy received on the mth sub-channel, P 0,m is the signal energy value at the distance of 1m from the target on the mth sub-channel, is the path loss coefficient of the final mth subchannel.

所述步骤7)中进行目标到AP的子信道距离估计,具体包括:The step 7) carries out target to the sub-channel distance estimation of AP, specifically includes:

根据权利要求2中所述的方法,得到子信道信号传播模型。AP接收来自目标的多组数据,得到如式(2)所示的CSI矩阵。分别计算每一个子信道的信号能量值,其表示形式为:According to the method as claimed in claim 2, a sub-channel signal propagation model is obtained. The AP receives multiple sets of data from the target, and obtains the CSI matrix shown in formula (2). The signal energy value of each subchannel is calculated separately, and its expression is:

式中,CSIm为第m个子信道接收信号的能量值,csii,m为第i个数据包中第m个子信道所接收的CSI值,n为所接收的数据包数目,conj(·)为取共轭。将得到的30个子信道的信号能量值带入权利要求2中所得的子信道信号传播模型,得到30个不同的距离值,表示为:In the formula, CSI m is the energy value of the signal received by the mth sub-channel, csi i,m is the CSI value received by the mth sub-channel in the i-th data packet, n is the number of received data packets, conj(·) To take the conjugate. Bring the signal energy values of the obtained 30 sub-channels into the sub-channel signal propagation model obtained in claim 2 to obtain 30 different distance values, expressed as:

d=[d1,d2,…,d30] (11) 。d=[d 1 , d 2 , . . . , d 30 ] (11).

Claims (2)

1.一种OFDM的子信道估计测距方法,其特征在于,包括以下步骤:1. a subchannel estimation ranging method of OFDM, is characterized in that, comprises the following steps: 1)在参数估计阶段,在目标所在的测距环境中随机选择1个定标点,同时测量所选择定标点到接入点(Access Point,AP)的距离;1) In the parameter estimation stage, a calibration point is randomly selected in the ranging environment where the target is located, and the distance from the selected calibration point to the Access Point (AP) is measured at the same time; 2)目标在所选定标点位置上发射数据,AP接收到达的数据,并且从中提取子信道状态信息(Channel State Information,CSI);2) The target transmits data at the selected punctuation position, and the AP receives the arriving data, and extracts the sub-channel state information (Channel State Information, CSI) from it; 3)使用巴特沃斯滤波器对步骤2)所得的子信道状态信息进行滤波,抑制高频率噪声,得到去噪后的子信道状态信息;3) Filter the sub-channel state information obtained in step 2) using a Butterworth filter, suppress high-frequency noise, and obtain denoised sub-channel state information; 4)结合所述步骤3)得到的子信道CSI与定标点到AP的距离,对信号传播模型进行参数估计,最终获得子信道信号传播模型;4) In combination with the sub-channel CSI obtained in the step 3) and the distance from the calibration point to the AP, the signal propagation model is parameterized, and finally the sub-channel signal propagation model is obtained; 5)在距离估计阶段,目标可以处于测距区域中的任何位置,并且发送数据,同时AP接收目标发送的数据,并且从接收的数据中提取出子信道CSI;5) In the distance estimation stage, the target can be at any position in the ranging area and send data, and at the same time, the AP receives the data sent by the target, and extracts the sub-channel CSI from the received data; 6)使用巴特沃斯滤波器对所述步骤5)中得到的子信道CSI进行去噪操作,得到滤波后的子信道CSI;6) using a Butterworth filter to perform a denoising operation on the sub-channel CSI obtained in step 5), to obtain filtered sub-channel CSI; 7)基于所述步骤6)得到的子信道CSI带入子信道信号传播模型中,得到子信道距离;7) The sub-channel CSI obtained based on the step 6) is brought into the sub-channel signal propagation model to obtain the sub-channel distance; 8)对所述步骤7)中得到的子信道距离进行聚类,将类心的坐标作为目标源到AP的距离。8) Clustering the sub-channel distances obtained in step 7), using the coordinates of the centroids as the distance from the target source to the AP. 2.基于权利要求1中所述的一种OFDM的子信道估计测距方法,其特征在于:所述步骤4)中使用子信道估计方法以及基于相对密度的离群点检测算法得到子信道信号传播模型。具体包括:2. based on the sub-channel estimation ranging method of a kind of OFDM described in claim 1, it is characterized in that: in described step 4), use sub-channel estimation method and the outlier detection algorithm based on relative density to obtain sub-channel signal Spread model. Specifically include: 目前,采用对数-正态模型来表示室内环境中无线信号的路径衰减,其表示形式为:At present, the logarithmic-normal model is used to represent the path attenuation of wireless signals in indoor environments, and its expression is: PR=P0-10γlg(d) (1)P R =P 0 -10γlg(d) (1) 式中,PR是接收到的信号能量值,P0是距离目标1m处的信号能量值,d是待测的目标与AP之间的距离,γ是路径损耗系数,它的值越大表示信号的损耗程度越高。In the formula, P R is the received signal energy value, P 0 is the signal energy value at a distance of 1m from the target, d is the distance between the target to be measured and the AP, and γ is the path loss coefficient. The higher the degree of signal loss. 首先AP接收目标源在所选定标点上发送的数据,从接收的数据中提取子信道CSI,同时对得到的子信道CSI信息进行滤波去噪,将去噪后的CSI信息构成CSI矩阵,其表示形式为:First, the AP receives the data sent by the target source at the selected punctuation point, extracts the sub-channel CSI from the received data, and at the same time filters and de-noises the obtained sub-channel CSI information, and forms the CSI matrix with the de-noised CSI information. The representation is: 式中,csin,m表示接收的第n个数据包中的第m个子信道的csi值。In the formula, csi n,m represents the csi value of the mth subchannel in the received nth data packet. 然后将每个子信道作为一个独立的信道分别带入式(1)中,式(1)中接收信号的能量表示为:Then each sub-channel is brought into formula (1) as an independent channel, and the energy of the received signal in formula (1) is expressed as: Pn,m=csin,m×conj(csin,m) (3)P n,m =csi n,m ×conj(csi n,m ) (3) 式中,Pn,m为接收的第n个数据包中的第m个子信道的信号能量值,conj(·)为取共轭。得到损耗系数的矩阵表示为:In the formula, P n,m is the signal energy value of the mth sub-channel in the received nth data packet, and conj(·) is the conjugate. The matrix of the obtained loss coefficient is expressed as: 式中,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数。where γ n,m is the estimated signal loss coefficient on the mth subchannel in the nth data packet. 接着将损耗矩阵按子信道的数目即矩阵的列数进行划分,得到30个子信道损耗系数点群,表示为:Then, the loss matrix is divided according to the number of sub-channels, that is, the number of columns of the matrix, and 30 sub-channel loss coefficient point groups are obtained, expressed as: γmatrix=[γ12,…,γ30] (5)γmatrix=[γ 12 ,…,γ 30 ] (5) 式中,γm为第m个子信道的损耗系数构成的向量。利用基于相对密度的离群点检测算法对每一个子信道点群进行异常检测,之后将检测出的离群点剔除,同时对剩余的损耗系数点求平均,其表示形式为:In the formula, γ m is a vector composed of loss coefficients of the mth sub-channel. Use the relative density-based outlier detection algorithm to detect the abnormality of each sub-channel point group, and then remove the detected outliers, and average the remaining loss coefficient points at the same time, and its expression is: 式中,为最终的第m个子信道的损耗系数,γn,m为第n个数据包中的第m个子信道上估计的信号损耗系数,k为每个子信道上剔除离群点后剩余的损耗系数点。最终得到30个子信道的信号传播模型的损耗系数,表示为:In the formula, is the loss coefficient of the final m-th sub-channel, γ n,m is the estimated signal loss coefficient on the m-th sub-channel in the n-th data packet, and k is the remaining loss coefficient points after removing outliers on each sub-channel . Finally, the loss coefficient of the signal propagation model of 30 sub-channels is obtained, expressed as: 最后将估计的子信道信道损耗系数带入式(1)中,最终得到30个不同路径衰减系数的信号传播模型,表示为:Finally, the estimated sub-channel channel loss coefficient is brought into Equation (1), and finally the signal propagation model of 30 different path attenuation coefficients is obtained, expressed as: 式中,PR,m为第m个子信道上接收到的信号能量,P0,m为第m个子信道上距离目标1m处的信号能量值,为最终的第m个子信道的路径损耗系数。In the formula, P R,m is the signal energy received on the mth sub-channel, P 0,m is the signal energy value at the distance of 1m from the target on the mth sub-channel, is the path loss coefficient of the final mth subchannel.
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