CN115878959A - Situation awareness visualization system for complex electromagnetic spectrum - Google Patents
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Abstract
本发明公开了一种面向复杂电磁频谱的态势感知可视化系统,该系统包括:感知层、数据层和功能层;其中,所述感知层,用于接收离散位置点采集的频谱感知数据;所述数据层,用于对获取的频谱感知数据以及地图信息数据和相应的采集设备的设备数据及结果数据进行存储管理;所述功能层,用于将离散位置点的频谱感知数据进行融合处理,形成区域性的电磁频谱态势分布,结合地图信息数据进行呈现,并定位出辐射源位置。本发明的系统对区域内频谱的采集数据,不只是单纯展示数据采样点的频谱情况,而是通过插值补全和推算的方式,形成整个目标区域的频谱态势数据。
The invention discloses a complex electromagnetic spectrum-oriented situational awareness visualization system, the system includes: a sensing layer, a data layer and a functional layer; wherein, the sensing layer is used to receive spectrum sensing data collected from discrete position points; the The data layer is used to store and manage the acquired spectrum sensing data and map information data, as well as the equipment data and result data of the corresponding acquisition equipment; the functional layer is used to fuse and process the spectrum sensing data of discrete locations to form The regional electromagnetic spectrum situation distribution is presented in combination with map information data, and the location of the radiation source is located. The system of the present invention does not simply display the spectrum situation of the data sampling points for the collected data of the spectrum in the area, but forms the spectrum situation data of the entire target area through interpolation, completion and calculation.
Description
技术领域Technical Field
本发明属于电磁环境测量技术领域,尤其涉及一种面向复杂电磁频谱的态势感知可视化系统。The present invention belongs to the technical field of electromagnetic environment measurement, and in particular relates to a situation awareness visualization system for complex electromagnetic spectrum.
背景技术Background Art
在电磁频谱战中以可视化的方式呈现出目标区域的无电线频谱态势,对作战环境的频率分析、频率指配、频谱态势趋势分析和频谱资源管理辅助决策等内容有着十分重要的意义。In electromagnetic spectrum warfare, the radio spectrum situation in the target area is presented in a visual manner, which is of great significance for frequency analysis, frequency assignment, spectrum situation trend analysis and spectrum resource management decision support in the combat environment.
目前在无线电频谱管理这一领域里,有比较多的频谱数据采集和加工处理的软件或方法。在频谱数据采集、展示、统计信息分析和信号数据的分析上也有比较多且比较成熟的处理方法。但是,从离散的采集样本点为基础,综合使用多种插值方法,得到全部目标区域的频谱,以及以全区域的频谱信息为基础进行频谱分析、输出辅助决策信息和进行发射信号源的定位,该领域在这些方面上的工作相对比较少。At present, in the field of radio spectrum management, there are many software or methods for spectrum data collection and processing. There are also many and mature processing methods for spectrum data collection, display, statistical information analysis and signal data analysis. However, there is relatively little work in this field on the basis of discrete acquisition sample points, the comprehensive use of multiple interpolation methods, the acquisition of the spectrum of the entire target area, and the analysis of the spectrum information of the entire area, the output of auxiliary decision information and the location of the transmitting signal source.
频谱感知设备采集到的频谱数据是离散的点数据,如何从离散位置点的频谱数据经过推算、补全等处理得到目标区域上频谱态势,并以可视化的方式进行展现和支持后续应用是频谱态势综合处理的一个关键的技术点。The spectrum data collected by spectrum sensing equipment is discrete point data. How to obtain the spectrum situation in the target area through inference, completion and other processing from the spectrum data of discrete location points, and to display it in a visual way and support subsequent applications is a key technical point in the comprehensive processing of spectrum situation.
发明内容Summary of the invention
本发明的目的在于克服现有技术缺陷,提出了一种面向复杂电磁频谱的态势感知可视化系统。The purpose of the present invention is to overcome the defects of the prior art and propose a situation awareness visualization system for complex electromagnetic spectrum.
为了实现上述目的,本发明提出了一种面向复杂电磁频谱的态势感知可视化系统,其特征在于,所述系统包括:感知层、数据层和功能层;其中,In order to achieve the above-mentioned purpose, the present invention proposes a situation awareness visualization system for complex electromagnetic spectrum, characterized in that the system comprises: a perception layer, a data layer and a function layer; wherein,
所述感知层,用于接收离散位置点采集的频谱感知数据;The perception layer is used to receive spectrum perception data collected from discrete locations;
所述数据层,用于对获取的频谱感知数据进行存储管理,用于存储管理地图信息数据和频谱感知数据的采集设备相关信息,还用对功能层处理后的结果数据进行存储管理;The data layer is used to store and manage the acquired spectrum sensing data, to store and manage map information data and information related to the acquisition equipment of the spectrum sensing data, and to store and manage the result data processed by the function layer;
所述功能层,用于将离散位置点的频谱感知数据进行融合处理,形成区域性的电磁频谱态势分布,结合地图信息数据进行呈现,并定位出辐射源位置。The functional layer is used to fuse the spectrum sensing data of discrete location points to form a regional electromagnetic spectrum situation distribution, present it in combination with map information data, and locate the radiation source.
作为上述系统的一种改进,所述功能层包括融合处理模块,所述融合处理模块的处理过程包括:As an improvement of the above system, the functional layer includes a fusion processing module, and the processing process of the fusion processing module includes:
获取指定段的频谱感知数据;Get the spectrum sensing data of the specified segment;
根据频段和步长抽取频点数据;Extract frequency point data according to frequency band and step size;
过滤无效数据,并修复有错误的数据;Filter invalid data and fix erroneous data;
对修复后的频谱感知数据通过聚类滤波消除快衰落的影响;Eliminate the influence of fast fading through cluster filtering on the repaired spectrum sensing data;
根据频谱感知数据选择相应的插值算法,生成单频点态势图;Select the corresponding interpolation algorithm according to the spectrum sensing data to generate a single frequency point situation map;
将各个频点的态势图进行合成,得到区域性的电磁频谱态势分布。The situation maps of each frequency point are synthesized to obtain the regional electromagnetic spectrum situation distribution.
作为上述系统的一种改进,所述相应的插值算法包括自然邻区插值处理、薄板样条插值处理和克里金插值处理。As an improvement of the above system, the corresponding interpolation algorithm includes natural neighbor interpolation processing, thin plate spline interpolation processing and Kriging interpolation processing.
作为上述系统的一种改进,所述自然邻区插值处理具体包括:As an improvement of the above system, the natural neighbor interpolation process specifically includes:
找到待查询点距离最近的N个离散位置点,建立对应的N个Voronoi图;Find the N discrete locations closest to the query point and establish the corresponding N Voronoi diagrams;
对于待插值点z,将z的加入引起变化的多边形定义为z的邻区,新的多边形与原多边形的交集决定了对应的离散位置点对插值点z的影响权重;For the interpolation point z, the polygon that changes due to the addition of z is defined as the neighborhood of z. The intersection of the new polygon and the original polygon determines the influence weight of the corresponding discrete position point on the interpolation point z.
基于N个离散位置点的Voronoi图大小按比例对N个离散位置点的频谱感知数据应用权重进行插值。The spectrum sensing data of the N discrete location points are interpolated by applying weights in proportion based on the size of the Voronoi diagram of the N discrete location points.
作为上述系统的一种改进,所述薄板样条插值处理过程具体包括:As an improvement of the above system, the thin plate spline interpolation processing process specifically includes:
采集在一定区域位置上的频谱数据作为对应区域位置上的样条插值数据pi,pj,根据下式计算径向基函数U(pi,pj):The spectrum data collected at a certain area position is used as the spline interpolation data p i , p j at the corresponding area position, and the radial basis function U (p i , p j ) is calculated according to the following formula:
U(pi,pj)=σ(pi-pj)2log(σ(pi-pj))U(p i ,p j )=σ(p i -p j ) 2 log(σ(p i -p j ))
其中,σ(pi-pj)对应二维平面上的两点之间的欧氏距离,lngi、lngj表示第i、j个采集数据的经度,lati、latj表示第i、j个采集数据的纬度;Among them, σ(pi - pj ) corresponds to the Euclidean distance between two points on the two-dimensional plane, lngi , lngj represent the longitude of the i-th and j-th collected data, lati , latj represent the latitude of the i-th and j-th collected data;
基于径向基函数U(pi,pj)得到第i个样本点对预测点x的权重wi,x,Based on the radial basis function U( pi , pj ), we get the weight w i,x of the i-th sample point to the predicted point x.
采用加权计算得到待预测点的数值V(x):The value V(x) of the point to be predicted is obtained by weighted calculation:
其中wi,x是,V(xi)是第i个样本点的值。Where w i,x is and V( xi ) is the value of the i-th sample point.
作为上述系统的一种改进,所述克里金插值处理过程具体包括:As an improvement of the above system, the Kriging interpolation processing process specifically includes:
基于电磁辐射的路径损耗与距离的对应关系,建立数据位置点间的测量差与距离的无偏估计矩阵,实现插值预测。Based on the corresponding relationship between the path loss of electromagnetic radiation and the distance, an unbiased estimation matrix of the measurement difference and distance between data location points is established to achieve interpolation prediction.
作为上述系统的一种改进,所述功能层包括态势定位模块,所述态势定位模块的处理过程具体包括:As an improvement of the above system, the functional layer includes a situation positioning module, and the processing process of the situation positioning module specifically includes:
根据融合处理模块生成的频谱态势图,结合预先设置的信号强度门限,结合地理信息数据实现辐射源的定位。According to the spectrum situation map generated by the fusion processing module, combined with the pre-set signal strength threshold and geographic information data, the radiation source is located.
作为上述系统的一种改进,所述功能层还包括可用频率推荐模块,所述可用频率推荐模块的处理过程具体包括:As an improvement of the above system, the functional layer further includes an available frequency recommendation module, and the processing process of the available frequency recommendation module specifically includes:
根据频谱感知数据逐一判断业务频段内每个频点场强值是否超过设定的门限值,判断为是,则该频点已被占用,否则,为未占用,并进行信道质量分析;According to the spectrum sensing data, determine whether the field strength value of each frequency point in the service frequency band exceeds the set threshold value one by one. If it is judged to be yes, the frequency point is occupied. Otherwise, it is not occupied, and channel quality analysis is performed;
统计业务频段内可用频率情况并结合信道质量分析,输出可用频率推荐列表。Statistics on available frequencies within the service frequency band are combined with channel quality analysis to output a recommended list of available frequencies.
与现有技术相比,本发明的优势在于:Compared with the prior art, the advantages of the present invention are:
1、与目前现有的同类技术相比,本系统最大的特点在于对区域内频谱的采集数据,不只是单纯展示数据采样点的频谱情况,而是通过插值补全和推算的方式,形成整个目标区域的频谱态势数据;1. Compared with the existing similar technologies, the biggest feature of this system is that it collects spectrum data in the area. It not only displays the spectrum of the data sampling points, but also forms the spectrum situation data of the entire target area through interpolation, completion and extrapolation.
2、本发明在应用已有的插值处理方法上,支持多种插值方法的综合运用,目前支持支持自然邻域插值方法、克里金插值方法和薄板样条插值三种方法,使用者可以根据不用的应用场景,选择合适的处理方法;2. The present invention supports the comprehensive use of multiple interpolation methods based on the existing interpolation processing methods. Currently, it supports three methods: natural neighbor interpolation method, Kriging interpolation method and thin plate spline interpolation method. Users can choose the appropriate processing method according to different application scenarios;
3、基于区域频谱的统计分析功能是本系统的另一个特点,包括目标区域的频谱占用情况、区域内任意位置点的可用频率推荐等结果,这些结果在本系统中能够以可视化的方式展现出来。3. The statistical analysis function based on regional spectrum is another feature of this system, including the spectrum occupancy of the target area, the recommended available frequency at any location in the area, and other results. These results can be displayed in a visual way in this system.
4、本发明能够提供基于区域频谱态势的定位,基于区域频谱态势的结果,就可以找出符合发射源信号态势特征的区域,从而可以定位出发射信号源,应用本发明,在选择合适的态势插值处理方法以后,当采集数据的位置覆盖达到一定的程度的时候,就可以产生出相对较准确的区域频谱态势,从而可以定位出发射信号源的候选位置。4. The present invention can provide positioning based on regional spectrum situation. Based on the results of regional spectrum situation, the area that meets the situation characteristics of the transmitting source signal can be found, so that the transmitting signal source can be located. By applying the present invention, after selecting a suitable situation interpolation processing method, when the position coverage of the collected data reaches a certain level, a relatively accurate regional spectrum situation can be generated, so that the candidate position of the transmitting signal source can be located.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是本发明的系统组成图;Fig. 1 is a system composition diagram of the present invention;
图2是软件系统组成图;Fig. 2 is a diagram of the software system composition;
图3是数据及接口协议关系图;Fig. 3 is a diagram showing the relationship between data and interface protocols;
图4是可用频率推荐流程图;FIG4 is a flowchart of available frequency recommendation;
图5是可用频率推荐列表示例;FIG5 is an example of a recommended list of available frequencies;
图6是态势定位流程图;Fig. 6 is a situation positioning flow chart;
图7是融合处理流程;Figure 7 is a fusion processing flow;
图8是自然邻值插值算法示意图;FIG8 is a schematic diagram of a natural neighbor interpolation algorithm;
图9是薄板样条算法示意图;FIG9 is a schematic diagram of a thin plate spline algorithm;
图10是单机任务部署模式框图;Figure 10 is a block diagram of a single-machine task deployment mode;
图11是本地组网部署模式框图。FIG11 is a block diagram of a local networking deployment model.
具体实施方式DETAILED DESCRIPTION
本发明主要是把已有的多种插值方法综合应用到频谱采集数据由点及面的处理中,对可移动设备的频谱感知样本数据进行推算和补全处理,得到目标区域上面的频谱态势结果。以及在此基础上对频谱态势进行分析,以可视化的方式展示频谱占用情况统计分析、可用频率、发射信号定位等结果。The present invention mainly applies the existing multiple interpolation methods to the processing of spectrum acquisition data from point to surface, and calculates and completes the spectrum sensing sample data of the mobile device to obtain the spectrum situation results above the target area. On this basis, the spectrum situation is analyzed to display the results of spectrum occupancy statistical analysis, available frequency, transmission signal positioning, etc. in a visual way.
下面结合附图和实施例对本发明的技术方案进行详细的说明。The technical solution of the present invention is described in detail below with reference to the accompanying drawings and embodiments.
实施例Example
如图1所示,本发明的实施例1提供了一种面向复杂电磁频谱的态势感知可视化系统,系统包括:感知层、数据层和功能层;其中,As shown in FIG1 ,
所述感知层,用于接收离散位置点采集的频谱感知数据;The perception layer is used to receive spectrum perception data collected from discrete locations;
所述数据层,用于对获取的频谱感知数据以及地图信息数据和相应的采集设备的设备数据及结果数据进行存储管理;The data layer is used to store and manage the acquired spectrum sensing data and map information data and the device data and result data of the corresponding acquisition device;
所述功能层,用于将离散位置点的频谱感知数据进行融合处理,形成区域性的电磁频谱态势分布,结合地图信息数据进行呈现,并定位出辐射源位置The functional layer is used to fuse the spectrum sensing data of discrete locations to form a regional electromagnetic spectrum situation distribution, present it in combination with map information data, and locate the radiation source location
感知层为数字信号综合分析单元,采集频谱数据;数据层为用于分析的数据、结果数据以及展示用的地图数据等;服务层:频谱采集、背景频谱、统计分析、可用频率推荐和态势定位。The perception layer is a digital signal comprehensive analysis unit that collects spectrum data; the data layer is the data used for analysis, result data, and map data for display; the service layer includes spectrum acquisition, background spectrum, statistical analysis, available frequency recommendation, and situation positioning.
一、软件组成1. Software composition
具体软件组成如图2所示。主要包括数据管理和业务功能,数据管理包括地理信息数据管理、频谱数据管理、采集设备管理和结果数据管理;业务功能包括频谱采集、背景频谱学习、统计分析、可用频率推荐和态势定位五个功能,满足业务的需要。The specific software composition is shown in Figure 2. It mainly includes data management and business functions. Data management includes geographic information data management, spectrum data management, acquisition equipment management and result data management; business functions include spectrum acquisition, background spectrum learning, statistical analysis, available frequency recommendation and situation positioning to meet business needs.
二、数据及接口协议2. Data and interface protocols
通过对数字信号综合分析单元采集的频谱数据进行融合算法分析并实现可视化展示,其具体接口关系图3所示。The spectrum data collected by the digital signal comprehensive analysis unit is analyzed by fusion algorithm and visualized, as shown in Figure 3.
三、功能及性能指标设计3. Function and performance index design
1、背景频谱学习功能1. Background spectrum learning function
通过对频谱采集的监测数据的深入分析,学习背景频谱,按照不同业务频段制定起始频率、步进、门限值,不同时间段分别生成稳态的背景频谱。Through in-depth analysis of the monitoring data collected from the spectrum, the background spectrum is learned, and the starting frequency, step, and threshold value are set according to different business frequency bands, and steady-state background spectra are generated in different time periods.
表1背景频谱学习指标列表Table 1 List of background spectrum learning indicators
设置起始频率、学习步进,时间段设置,支持每时、每天、每周生成独立的背景频谱。Set the starting frequency, learning step, and time period to support generating independent background spectrum every hour, day, and week.
2、统计分析功能2. Statistical analysis function
系统提供多种数据分析功能,包括频率扫描数据(最大、最小、均值)、单频点稳定度统计、频率扫描瀑布图分析、不同时间段频率占用度统计。The system provides a variety of data analysis functions, including frequency scanning data (maximum, minimum, average), single frequency stability statistics, frequency scanning waterfall chart analysis, and frequency occupancy statistics in different time periods.
功能如下:The functions are as follows:
·频率扫描数据(最大、最小、均值)Frequency scan data (maximum, minimum, average)
分析一段时间内扫描数据中出现的最大、最小值,同时计算累计时间内扫描数据的均值。Analyze the maximum and minimum values that appear in the scan data over a period of time, and calculate the average value of the scan data over the cumulative time.
·单频点稳定度统计Single frequency stability statistics
对单频点进行连续监测,记录一段时间内该频率信号强度的变化情况。Continuously monitor a single frequency point and record the changes in the signal strength of the frequency over a period of time.
·瀑布图分析Waterfall chart analysis
对扫描数据在时间上进行累计,并以不同的颜色来表示扫描数据的信号强度。The scan data is accumulated over time and the signal strength of the scan data is represented by different colors.
·不同时间频段占用度统计·Occupancy statistics of different time and frequency bands
使用手动或自动计算的信号门限,对某一频率,分析一段时间内的信号强度是否达到或超出该频率的门限,统计达到或超出门限的次数,该次数占总的测量次数的百分比,即为时间占用度。Use manually or automatically calculated signal thresholds to analyze whether the signal strength over a period of time reaches or exceeds the threshold of a certain frequency. Count the number of times the threshold is reached or exceeded, and the percentage of this number to the total number of measurements is the time occupancy.
频率占用度时指被占用频率占总频率的百分比。Frequency occupancy refers to the percentage of occupied frequencies to total frequencies.
3、可用频率推荐3. Available frequency recommendation
根据扫频测试数据得出不同信道上的频点占用与未占用情况,当频点场强值超过设定的门限值时,系统反馈此频点已经被占用,当频点场强未超过设定的门限值时,系统反馈此频点未被占用。统计业务频段内可用频率情况。如图4所示为可用频率推荐流程图。图5为可用频率推荐列表示例。Based on the frequency sweep test data, the occupied and unoccupied frequency points on different channels are obtained. When the frequency point field strength value exceeds the set threshold value, the system feedbacks that the frequency point is occupied. When the frequency point field strength does not exceed the set threshold value, the system feedbacks that the frequency point is unoccupied. Statistics are collected on the available frequencies in the service frequency band. As shown in Figure 4, the available frequency recommendation flow chart is shown. Figure 5 is an example of the available frequency recommendation list.
基于现有监测数据以及其频率划分情况,分析在某一位置的频率使用情况。Analyze frequency usage at a certain location based on existing monitoring data and its frequency allocation.
4、态势定位4. Situation Positioning
系统通过频谱采集监测数据融合分析,结合插值算法生成频谱态势图,分析区域内的场强值的变化,定位出辐射源位置。The system generates a spectrum situation diagram by fusion analysis of spectrum acquisition and monitoring data combined with an interpolation algorithm, analyzes changes in field strength values within the area, and locates the radiation source.
功能输入:Function input:
矢量:待分析的区域,用户可使用矢量工具绘制一个临时矢量参与计算,也可选择系统已配置的矢量区域进行计算分析。 Vector: The area to be analyzed. Users can use the vector tool to draw a temporary vector to participate in the calculation, or select the vector area configured by the system for calculation and analysis.
分析类型:系统可按频点和频段两种模式进行分析。频点分析用于分析单个频点的态势分布情况,频段分析用于分析频段内的所有频点的综合态势分布情况。 Analysis type: The system can perform analysis in two modes: frequency point and frequency band. Frequency point analysis is used to analyze the situation distribution of a single frequency point, and frequency band analysis is used to analyze the comprehensive situation distribution of all frequency points in the frequency band.
无线电业务:根据所选无线电业务分析某个频段范围内的综合结果。 Radio Service: Analyzes the overall results within a frequency band according to the selected radio service.
分析频率:在频点分析模式中,需设置分析的频道。 Analysis frequency: In frequency analysis mode, you need to set the channel to be analyzed.
门限:设置信号强度门限。 Threshold: Set the signal strength threshold.
功能输出Function Output
辐射源位置信息。如图6所示为态势定位流程图。Radiation source location information. Figure 6 shows the situation positioning flow chart.
对于处理速度方面要求较高,样本量较大的场景,采用自然邻区插值处理。自然邻域方法是泰森多边形方法的加强形式,在逼近程度上有一般的表现,推算能力上有较好的表现,方法比较简单,并且较符合人的固有思维。但在使用范围上比较受限制,主要适用于小范围区域并且空间上的变异性不高的场景。由于处理方法相对简单,该方法在处理速度方面有较好的表现,可以使用较大场景的样本量;For scenes with high requirements on processing speed and large sample size, natural neighbor interpolation is used. The natural neighbor method is an enhanced form of the Thiessen polygon method. It has average performance in terms of approximation and good performance in inference ability. The method is relatively simple and more in line with people's inherent thinking. However, it is relatively limited in scope of use and is mainly suitable for scenes with small areas and low spatial variability. Because the processing method is relatively simple, this method has good performance in terms of processing speed and can use a larger sample size of the scene;
对于数据样本点较多的情况,采用薄板样条插值处理,该方法能够在可接受的时间范围内完成计算处理。薄板样条插值方法模拟的物理形状上的形变,几乎所有的生物有关的形变都是可以用该方法来近似。使用薄板样条插值在电磁波频谱数据推算上可以得到相对较好的效果,在理论的逼近程度上,该方法存在一定劣势,但在计算速度、和推算能力方面该方法有较大的优势;For situations with a large number of data sample points, thin plate spline interpolation is used. This method can complete the calculation within an acceptable time range. The thin plate spline interpolation method simulates physical shape deformations. Almost all biological deformations can be approximated by this method. Using thin plate spline interpolation can achieve relatively good results in the calculation of electromagnetic spectrum data. In terms of theoretical approximation, this method has certain disadvantages, but it has great advantages in terms of calculation speed and calculation ability.
对于离散采样点的频谱感知数据,采用克里金插值处理。普通克里金插值有着逼近程度较好、推算能力强、使用范围广泛的特点。但是在处理速度上普通克里金的插值算法需要较多的计算量,尤其是对样本点数量较多的情况下,该方法的计算耗时比较长。也是由于这个原因,在实际电磁波频谱态势生成的应用中,一般样本点超过100个时,就不再适合用该方法进行处理。For spectrum sensing data of discrete sampling points, Kriging interpolation is used. Ordinary Kriging interpolation has the characteristics of good approximation, strong inference ability and wide application range. However, in terms of processing speed, the interpolation algorithm of ordinary Kriging requires a lot of calculation, especially when there are a large number of sample points, the calculation of this method takes a long time. It is also for this reason that in the application of actual electromagnetic wave spectrum situation generation, when the number of sample points exceeds 100, it is no longer suitable to use this method for processing.
5、态势流程设计5. Situation process design
为了实现将感知节点采集离散位置点频谱感知数据融合成区域性的电磁频谱态势分布进而结合地理信息系统进行呈现,本方案拟采用三种插值算法进行数据融合处理:自然邻区插值、薄板样条插值、克里金插值。In order to realize the fusion of spectrum sensing data collected by sensing nodes at discrete locations into regional electromagnetic spectrum situation distribution and then present it in combination with geographic information system, this scheme intends to adopt three interpolation algorithms for data fusion processing: natural neighbor interpolation, thin plate spline interpolation, and Kriging interpolation.
数据融合处理流程如图7所示。The data fusion processing flow is shown in Figure 7.
以下详细介绍三种插值算法。The following is a detailed introduction to the three interpolation algorithms.
1)自然邻区插值1) Natural Neighbor Interpolation
自然邻区算法可找到距查询点最近的输入样本子集,并基于区域大小按比例对这些样本应用权重来进行插值。该插值也称为Sibson或“区域占用(area-stealing)”插值。该插值算法也分为两步,首先用监测点建立Voronoi图,然后对每个栅格点进行插值,下面分别对Voronoi图的建立和插值进行说明。The natural neighbor algorithm finds the subset of input samples closest to the query point and interpolates by applying weights to these samples in proportion to the area size. This interpolation is also called Sibson or "area-stealing" interpolation. This interpolation algorithm is also divided into two steps. First, the Voronoi diagram is established with the monitoring points, and then each grid point is interpolated. The establishment and interpolation of the Voronoi diagram are explained below.
Voronoi图,又叫泰森多边形或Dirichlet图,它是由一组连接两邻点直线的垂直平分线组成的连续多边形。N个在平面上有区别的点,按照最邻近原则划分平面;每个点与它的最近邻区域相关联。Delaunay三角形是由与相邻Voronoi多边形共享一条边的相关点连接而成的三角形。Delaunay三角形的外接圆圆心是与三角形相关的Voronoi多边形的一个顶点。Voronoi三角形是Delaunay图的偶图。Voronoi diagram, also called Thiessen polygon or Dirichlet diagram, is a continuous polygon composed of a set of perpendicular bisectors connecting two adjacent points. N distinct points on a plane divide the plane according to the nearest neighbor principle; each point is associated with its nearest neighbor region. Delaunay triangle is a triangle formed by connecting related points that share an edge with adjacent Voronoi polygons. The center of the circumscribed circle of a Delaunay triangle is a vertex of the Voronoi polygon associated with the triangle. Voronoi triangle is the dual graph of Delaunay diagram.
如果点集由N个点组成,距离Pi比距离其它点更近的点的区域是包含Pi的那N-1个半平面的交集。这N-1个半平面是由Pi点与其它点的垂直平分线确定的。V(i)是由一些垂直平分线段构成的多边形。用上述方法做出每个点的区域,就形成的点Voronoi图。它将整个平面分成N个区域,每个区域中包含一个点,这个区域就是这个点的区域,其中的线段或射线称为Voronoi边,它一定是两个点的连线的中垂线的一段,这两个点称为该Voronoi边的相关点,Voronoi边之间的交点称为Voronoi顶点,Voronoi边的相关点也是Voronoi顶点的相关点。此外,如果点(x,y)∈V(i),则Pi是点(x,y)的最近点。如图8所示。If the point set consists of N points, the region of points closer to Pi than to other points is the intersection of the N-1 half-planes containing Pi. These N-1 half-planes are determined by the perpendicular bisectors of point Pi and other points. V(i) is a polygon composed of some perpendicular bisector segments. The region of each point is made using the above method to form a point Voronoi diagram. It divides the entire plane into N regions, each of which contains a point. This region is the region of this point. The line segment or ray in it is called a Voronoi edge, which must be a segment of the perpendicular bisector of the line connecting the two points. The two points are called the related points of the Voronoi edge, and the intersection between the Voronoi edges is called the Voronoi vertex. The related points of the Voronoi edge are also the related points of the Voronoi vertex. In addition, if point (x, y)∈V(i), then Pi is the closest point to point (x, y). As shown in Figure 8.
关于插值:如图中x为待插值点,则原Voronoi会因为点x的加入发生变化,如上图,因为x的加入引起变化的多边形就是x的邻区,新的多边形与原多边形的交集就决定了该样本点对插值点x的影响权重,从而x的值可用下式计算:About interpolation: If x is the point to be interpolated in the figure, the original Voronoi will change due to the addition of point x. As shown in the figure above, the polygon that changes due to the addition of x is the neighboring area of x. The intersection of the new polygon and the original polygon determines the influence weight of the sample point on the interpolation point x, so the value of x can be calculated using the following formula:
其中ai为第i个邻区样本点的值,wi为第i个邻区的权重,权重wi计算公式如下:Where ai is the value of the sample point in the i-th neighboring area, wi is the weight of the i-th neighboring area, and the weight wi is calculated as follows:
2)薄板样条法2) Thin plate spline method
薄板样条插值TPS(Thin Plate Spline)是一种通过构建一种光滑函数表达式构建的插值方式。这种插值在应用于电波传播情况时,因综合考虑测量点及其周边点的径向变化规律。在综合考虑传播模型的距离和损耗基础上,构建电磁预测点与测量点的梯度变化矩阵,该插值具有一定地向外延展性。Thin Plate Spline (TPS) is an interpolation method constructed by constructing a smooth function expression. When this interpolation is applied to radio wave propagation, it comprehensively considers the radial variation law of the measurement point and its surrounding points. Based on the comprehensive consideration of the distance and loss of the propagation model, the gradient variation matrix of the electromagnetic prediction point and the measurement point is constructed. This interpolation has a certain outward extension.
薄板样条插值是把一个插值函数想象成弯曲一个薄钢板,使得它穿过给定点,这样会需要一个弯曲能量。该插值方法在确保所有控制点能够尽可能匹配的情况下,怎么样才能使得钢板的弯曲量最小。图9给出了控制点及插值面的示意图。Thin plate spline interpolation is to imagine an interpolation function as bending a thin steel plate so that it passes through a given point, which requires a bending energy. This interpolation method ensures that all control points can match as much as possible, and how to minimize the bending of the steel plate. Figure 9 shows a schematic diagram of the control points and interpolation surface.
薄板样条法的原理是基于由它所表示的曲面能使得希尔伯特空间中的元素的2阶导数的范数所构成的一个泛函达到最小,即上The principle of the thin plate spline method is based on the fact that the surface represented by it can minimize a functional consisting of the norm of the second-order derivatives of the elements in the Hilbert space, that is,
该泛函具有旋转不变性,并可近似地代表由二元函数Φ所确定的薄板的弯曲能量。用薄板样条法所获取的曲面,相当于在一定的压力下使一个薄板发生形变所得到的曲面。这种压力是在各个观测点(已知散乱点)处起作用的,其大小与观测数据点的属性值成一定的比例。薄板样条具有弯曲最小的性质,而Φ就成为了一种弯曲最小的样条。The functional is rotationally invariant and can approximately represent the bending energy of the thin plate determined by the binary function Φ. The surface obtained by the thin plate spline method is equivalent to the surface obtained by deforming a thin plate under a certain pressure. This pressure acts at each observation point (known scattered points), and its magnitude is proportional to the attribute value of the observation data point. The thin plate spline has the property of minimum bending, and Φ becomes a spline with minimum bending.
上式中Φ的定义如下:In the above formula, Φ is defined as follows:
其中m0、m1和m2为实数,ωi为观测样本点的权重。为径向基函数。该函数是该插值方法和本专利方法的结合内容,在下面的段落中重点介绍。Where m 0 , m 1 and m 2 are real numbers, and ω i is the weight of the observation sample point. is the radial basis function. This function is a combination of the interpolation method and the method of this patent, and is mainly introduced in the following paragraphs.
根据弯曲能量最小的要求,可以求解出ωi、m0、m1和m2,从而可以对任意一点的值进行预测。求解的公式如下:According to the requirement of minimum bending energy, ω i , m 0 , m 1 and m 2 can be solved, so that the value of any point can be predicted. The solution formula is as follows:
(ω1,ω2,...,ωn,m0,m1,m2)T=L-1*Y(ω 1 ,ω 2 ,...,ω n ,m 0 ,m 1 ,m 2 ) T =L -1 *Y
Y=(v1,v2,...,vn,0,0,0)T Y=(v 1 ,v 2 ,...,v n ,0,0,0) T
任意一点的估计值Z(px,y)可以通过以下公式进行计算The estimated value Z(p x,y ) at any point can be calculated using the following formula
薄板样条插值方法应用于本系统中,采集在一定区域位置上的频谱数据作为插值方法的输入数据。采集的数据本身在区域位置上的分布对应薄板样条插值数据的pi。处理过程使用径向基函数计算权重。径向基函数U(pi,pj)的表达公式如下:The thin plate spline interpolation method is applied in this system, and the spectrum data collected at a certain regional position is used as the input data of the interpolation method. The distribution of the collected data itself at the regional position corresponds to the p i of the thin plate spline interpolation data. The processing process uses the radial basis function to calculate the weight. The expression formula of the radial basis function U(p i ,p j ) is as follows:
U(pi,pj)=σ(pi,pj)2log(σ(pi,pj))U(p i ,p j )=σ(p i ,p j ) 2 log(σ(p i ,p j ))
其中的σ(pi-pj)对应二维平面上的两点之间的欧氏距离where σ(pi - pj ) corresponds to the Euclidean distance between two points on the two-dimensional plane
其中lngi、lngj表示第i、j个采集数据的经度,lati、latj表示第i、j个采集数据的纬度。Wherein, lng i and lng j represent the longitude of the i-th and j-th collected data, and lat i and lat j represent the latitude of the i-th and j-th collected data.
3)克里金(Kriging)插值3) Kriging interpolation
克里金方法是将离散的参考点数据根据相关属性值生成连续的面数据,其区域化变量具有两个特性:1)随机性:表现为局部的、不规则的、随机的、难以预测的特性;2)结构性:空间两点x和x+h的随机变量Z(x)和Z(x+h)存在自相关的特性,这种自相关性特征与空间两点间距离h和变量特征有关。The Kriging method generates continuous surface data from discrete reference point data according to relevant attribute values. Its regionalized variables have two characteristics: 1) Randomness: It is characterized by local, irregular, random and unpredictable characteristics; 2) Structurality: The random variables Z(x) and Z(x+h) of two points x and x+h in space have autocorrelation characteristics. This autocorrelation feature is related to the distance h between the two points in space and the variable characteristics.
感知数据Z(x,y)可以看成是区域化研究变量,其是二维空间分布数据。假设Z(m)表示感知数据测量值的变量,一方面当空间一点m固定后,感知数据测量值Z(m)是不确定的,可以看作是一个随机变量,这就体现了其随机性;另一方面,在空间两个不同点m及m+h(此处h表示二维空间中的距离向量,它的模|h|表示点m和m+h的距离)处的感知数据测量值Z(m)与Z(m+h)具有某种程度的自相关性,一般而言h越小,相关性越好。这种自相关性体现了感知数据测量值变量的某种连续性和关联性,体现了其结构性的一面。The perception data Z(x,y) can be regarded as a regionalized research variable, which is a two-dimensional spatial distribution data. Assuming that Z(m) represents the variable of the perception data measurement value, on the one hand, when a point m in space is fixed, the perception data measurement value Z(m) is uncertain and can be regarded as a random variable, which reflects its randomness; on the other hand, the perception data measurement values Z(m) and Z(m+h) at two different points m and m+h in space (here h represents the distance vector in the two-dimensional space, and its modulus |h| represents the distance between point m and m+h) have a certain degree of autocorrelation. Generally speaking, the smaller h is, the better the correlation is. This autocorrelation reflects a certain continuity and correlation of the perception data measurement value variable, and reflects its structural aspect.
存在某一研究区域D,对于区域化研究变量Z(x)∈D,x1,x2,…,xn为区域内取得n个观测点,Z(x1),Z(x2),…,Z(xn)为相对应的观测值。区域内存在某一未采样点x0,其估计值为z*(x0),z*(x0)可以通过一个线性关系来估值:There is a research area D. For the regionalized research variable Z(x)∈D, x 1 ,x 2 ,…,x n are n observation points in the region, and Z(x 1 ),Z(x 2 ),…,Z(x n ) are the corresponding observation values. There is an unsampled point x 0 in the region, and its estimated value is z * (x 0 ). z * (x 0 ) can be estimated by a linear relationship:
以上公式中λi为第i个位置处的测量值的未知权重,由此可知,克里金插值的目的就是求取权值。由于克里金插值是一种无偏最优化插值,故无偏性和估计方差最小成为权值λ的选择标准,可以得到克里金插值的方程组In the above formula, λ i is the unknown weight of the measured value at the ith position. Therefore, the purpose of Kriging interpolation is to obtain the weight. Since Kriging interpolation is an unbiased optimization interpolation, unbiasedness and minimum estimated variance become the selection criteria for weight λ, and the equation group of Kriging interpolation can be obtained.
将上式方程组写成矩阵的形式Write the above equations in the form of a matrix
[K']·[λ']=[M'][K']·[λ']=[M']
通过克里金插值求取未采样点属性值,需要对已知采样点数据进行分析,求取实验变差函数值,通过理论变差函数模型拟合离散的实验变差函数值,获得采样点数据的变差函数模型。To obtain the attribute values of unsampled points through Kriging interpolation, it is necessary to analyze the data of known sampling points, obtain the experimental variogram values, fit the discrete experimental variogram values through the theoretical variogram model, and obtain the variogram model of the sampling point data.
解方程组,得到克里金插值的权重值。Solve the system of equations to obtain the weight values of Kriging interpolation.
λ'=K'-1*M'λ'=K' -1 *M'
将求解出的权值代入公式,求取未采样点的属性值。方程组中的是半方差函数,由于空间上的相似性属性,认为半方差函数和空间距离d(xi,xj)之间关系可以用线性、指数或对数的关系进行拟合。在本方法中,使用克里金指数模型函数进行拟合。Substitute the solved weights into the formula to obtain the attribute values of the unsampled points. is the semivariogram function. Due to the spatial similarity property, it is considered that The relationship between the semivariance function and the spatial distance d( xi , xj ) can be fitted using a linear, exponential or logarithmic relationship. In this method, the Kriging exponential model function is used for fitting.
在考虑电磁频谱插值时,基于电磁辐射的路径损耗与距离的对应关系(基于电磁波传播模型),建立监测点间的测量差与距离的无偏估计矩阵,实现克里金插值预测。When considering electromagnetic spectrum interpolation, based on the correspondence between the path loss of electromagnetic radiation and the distance (based on the electromagnetic wave propagation model), an unbiased estimation matrix of the measurement difference and distance between monitoring points is established to realize Kriging interpolation prediction.
克里金插值方法结合本发明的应用在于从数据位置点之间距离d(xi,xj)到协方差计算的公式。这个转换采用克里金指数函数模型,如上式所示。式中的c0为克里金指数模型的块金常数,一般情况下取0。c为模型中的拱高,d0为模型中的变程,c和d0可以根据实际样本数据处理的结果取效果较好的经验值。The application of the Kriging interpolation method in combination with the present invention is to convert the distance d( xi , xj ) between data points into a formula for calculating the covariance. This conversion uses a Kriging exponential function model, as shown in the above formula. In the formula, c0 is the nugget constant of the Kriging exponential model, which is generally taken as 0. c is the arch height in the model, and d0 is the range in the model. c and d0 can take better empirical values according to the results of actual sample data processing.
四、软件部署4. Software Deployment
系统支持单机部署和组网两种工作部署模式。The system supports two working deployment modes: stand-alone deployment and networking.
单机任务是通过手持式设备或者笔记本电脑连接接收机分析频谱信息,如图10所示。The stand-alone task is to connect the receiver to analyze the spectrum information through a handheld device or laptop, as shown in Figure 10.
本地组网部署模式为多个单元和一台控制终端组成,设备之间通过局域网实现组网协同通信的工作模式,如图11所示。The local networking deployment mode consists of multiple units and a control terminal, and the devices achieve networking and collaborative communication through a local area network, as shown in Figure 11.
五、环境及适应性设计5. Environmental and Adaptability Design
系统兼容Windows系统和Android系统,可在电脑端和手机端使用,方便不同的场景下使用。The system is compatible with Windows and Android systems and can be used on both computers and mobile phones, making it convenient to use in different scenarios.
六、可靠性设计6. Reliability Design
系统满足7×24小时连续工作,为保证系统可靠性工作,采取以下策略:The system can work continuously for 24 hours a day, 7 days a week. To ensure the reliability of the system, the following strategies are adopted:
(1)数据切分策略(1) Data segmentation strategy
系统软件开始采集频谱数据后,频谱数据自动保存在指定附录下,并以200M大小保存为一个文件,避免文件太大出现加载慢的问题。After the system software starts collecting spectrum data, the spectrum data is automatically saved in the specified appendix and saved as a file with a size of 200M to avoid the problem of slow loading due to large files.
(2)软件分层结构(2) Software Layered Structure
软件结构大致可分为程序、分程序、模块和程序单元四个层次。程序指软件中可以独立运行、执行完整功能的指令集合;分程序指程序中的一个主要功能子集;模块指程序中能逻辑地分开的部分;程序单元指过程或例行程序。一个好的软件分层结构,应该是主干和脉络清晰,层次分明的树状结构。Software structure can be roughly divided into four levels: program, subprogram, module and program unit. Program refers to a set of instructions in the software that can run independently and perform complete functions; subprogram refers to a major functional subset in the program; module refers to a logically separate part of the program; program unit refers to a process or routine. A good software hierarchical structure should be a tree structure with a clear trunk and context and distinct levels.
(3)避免设计复杂化设计(3) Avoid design complexity
软件设计应贯彻简单即可靠的原则,程序体内逻辑结构及算法清晰易读。并行的模块数、多重循环数、嵌套层的深度控制在7以内;每个程序单元可执行的源代码语句,最长不超过200条,平均不超过60条;每段程序开始应有关于功能、输入输出、局部变量等的简要说明,程序中辅以适量(一般不少于源代码的20%)的注释语句。Software design should implement the principle of simplicity and reliability, and the logical structure and algorithm in the program should be clear and easy to read. The number of parallel modules, the number of multiple loops, and the depth of nesting layers should be controlled within 7; the number of executable source code statements for each program unit should not exceed 200 at most, and not exceed 60 on average; each program should begin with a brief description of the function, input and output, local variables, etc., and the program should be supplemented with an appropriate amount of comments (generally not less than 20% of the source code).
(4)容错设计(4) Fault-tolerant design
软件容错指采用容错的软件结构设计,当出现失效时,在不需人工干预的情况下,软件自动恢复功能或控制失效引起的影响。Software fault tolerance refers to the use of fault-tolerant software structure design. When a failure occurs, the software automatically restores its functions or controls the impact caused by the failure without human intervention.
七、可维护性设计7. Maintainability Design
采用以下措施确保系统可维护性:Take the following measures to ensure system maintainability:
(1)系统模块化设计,方便维护排查问题,系统软件具有运行日志文件,记录软件的运行日志,方便追溯问题。(1) The modular design of the system facilitates maintenance and troubleshooting. The system software has an operation log file that records the software's operation log, making it easy to trace problems.
(2)系统设计与编码规范,系统软件实现按规范进行,便于软件的理解和修改。(2) System design and coding specifications. System software implementation is carried out according to the specifications to facilitate software understanding and modification.
(3)系统具有完备、简便的系统安装工具,能够支持局部或全系统自动安装部署、快速修复、版本升级等功能。(3) The system has a complete and simple system installation tool that can support local or full system automatic installation and deployment, quick repair, version upgrade and other functions.
(4)系统运行过程中关键操作和异常情况记录日志,在排查问题时,有助于软件运维人员快速定位、复现、解决问题。(4) Logs of key operations and abnormal situations during system operation help software operation and maintenance personnel to quickly locate, reproduce, and solve problems when troubleshooting.
创新点Innovation
基于地理信息的频谱态势综合与呈现技术Spectrum situation synthesis and presentation technology based on geographic information
针对电磁空间立体化、频谱碎片化等现状而导致传统的频谱感知手段无法获取完整广域的频谱态势信息等瓶颈问题,以GIS信息为数据基础,基于自适应插值算法,从时、空、频全域进行频谱数据融合,呈现多维度频谱态势。In order to solve the bottleneck problems such as the three-dimensionalization of electromagnetic space and spectrum fragmentation, which make traditional spectrum sensing methods unable to obtain complete and wide-area spectrum situation information, this paper takes GIS information as the data basis and uses adaptive interpolation algorithm to fuse spectrum data from the whole domain of time, space and frequency to present multi-dimensional spectrum situation.
最后所应说明的是,以上实施例仅用以说明本发明的技术方案而非限制。尽管参照实施例对本发明进行了详细说明,本领域的普通技术人员应当理解,对本发明的技术方案进行修改或者等同替换,都不脱离本发明技术方案的精神和范围,其均应涵盖在本发明的权利要求范围当中。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit the present invention. Although the present invention is described in detail with reference to the embodiments, it should be understood by those skilled in the art that any modification or equivalent replacement of the technical solutions of the present invention does not depart from the spirit and scope of the technical solutions of the present invention and should be included in the scope of the claims of the present invention.
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