CN109548065B - Single interference source positioning method based on virtual boundary point fitting - Google Patents
Single interference source positioning method based on virtual boundary point fitting Download PDFInfo
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Abstract
The invention discloses a single interference source positioning method based on virtual boundary point fitting, which comprises the following steps: s1: calculating the distance between a boundary node and an interfered node in the sensor network, and selecting the nearest point pair to obtain the coordinate value of the virtual boundary node; s2: fitting a circular area of an interference range by using the virtual boundary nodes to obtain a preliminary interference source coordinate and an interference distance; s3: analyzing and calculating the position relation between the interference range and the boundary node and the interfered node, and adjusting and calculating to obtain a new virtual boundary node; s4: fitting and calculating again by using the new virtual boundary node to obtain a new interference source coordinate and an interference distance; s5: and repeating the steps S2 to S4 for multiple iterations until the optimal interference source coordinates and interference distance are calculated. The method has simple steps, easy realization and high positioning precision, and solves the problem that the position of the interference source needs to be accurately detected when the sensor network is attacked by a single interference source.
Description
Technical Field
The invention relates to the field of radio positioning, in particular to a single interference source positioning method based on virtual boundary point fitting.
Background
The intrinsic nature of wireless sensor networks presents serious security challenges, and in particular the broadcast nature makes them susceptible to interference from radio signals, thereby preventing their proper network transmission. Therefore, accurately positioning the interference source becomes the key point of research in the field of wireless sensor networks at home and abroad.
Currently, the positioning technologies used abroad include a Center Localization (CL), a Weighted Center Localization (WCL), and a Virtual Force Iterative Localization (VFIL), which are the most typical. The CL algorithm calculation method is that the interference source is considered to be in the central position of the interfered area, and the position of the interference source is approximately obtained by calculating the mean value of coordinates of all neighbor nodes of the interference source. The WCL algorithm is improved on a CL algorithm, the distance between each neighbor node and an interference source is estimated by using parameters such as LQI and RSS, a corresponding weight is constructed for each node according to the distance, and each node has different contribution degrees to the estimated interference source position according to different weights. The VFIL uses the CL calculated centroid point location and the estimated interference radius to construct a circular interference coverage. And iteratively adjusting the interference coverage range for multiple times according to the positions of the interfered node and other nodes in the coverage range.
The prior positioning technology in China has a positioning algorithm (GCL) based on geometric coverage, and the main principle is to calculate a convex hull (the convex hull is a convex polygon containing all points) of an edge node of an interference area, then calculate the distance between two points farthest away in the convex hull, take the center of a connecting line of the two points as the center of a circle and the length of a straight line as the radius to make a circle, and continuously adjust the center of the circle and the radius according to the range of the circle and the interfered points outside the circle, thereby finally obtaining the position of accurate positioning.
In the existing positioning technology, the CL algorithm is lower in positioning accuracy compared with other algorithms, and the WCL algorithm calculates the distance between a network node and an interference source according to the signal intensity, so that the requirement on the node function is complex. The VFIL algorithm and the GCL algorithm have unsatisfactory positioning effect under the condition that the target network nodes are distributed unevenly.
Therefore, it is desirable to provide a new method for locating an interferer to solve the above problem.
Disclosure of Invention
The invention aims to solve the technical problem of providing a single interference source positioning method based on virtual boundary point fitting, which can solve the problem that the position of an interference source needs to be accurately detected when a single interference source attacks in a sensor network.
In order to solve the technical problems, the invention adopts a technical scheme that: the method for positioning the single interference source based on virtual boundary point fitting comprises the following steps:
s1: calculating the distance between a boundary node and an interfered node in the sensor network, and selecting the nearest point pair to obtain the coordinate value of the virtual boundary node;
s2: fitting a circular area of an interference range by using the virtual boundary nodes to obtain a preliminary interference source coordinate and an interference distance;
s3: analyzing and calculating the position relation between the interference range and the boundary node and the interfered node, and adjusting and calculating to obtain a new virtual boundary node;
s4: fitting and calculating again by using the new virtual boundary node to obtain a new interference source coordinate and an interference distance;
s5: and repeating the steps S2 to S4 for multiple iterations until the optimal interference source coordinates and interference distance are calculated.
In a preferred embodiment of the present invention, the specific calculation process of step S1 includes:
s1.1: calculating the distance between each point in the boundary node set B and each point in the interfered node set J, and finding out each boundary node BjThe nearest interfering node jki constitutes the node pair set BJ { (b)1，jk1),(b2，jk2),…(bm,jkm)}；
S1.2: and calculating the coordinate value of the virtual boundary node, wherein the calculation formula is as follows:
v1＝(b1+jk1)/2，v2＝(b2+jk2)/2,······，vm＝(bm+jkm)/2 (1)
obtaining a virtual boundary node set V ═ V1,v2,···,vm}。
In a preferred embodiment of the present invention, in steps S2 and S4, a least square method is used for the fitting calculation.
In a preferred embodiment of the present invention, in step S3, the method for analyzing and calculating the position relationship between the interference range and the interfered node comprises:
judging whether the interfered node is in an interference range or not, and if not, adding the interfered node into a new virtual boundary node set; if the node is in the interference range, the iterative computation is terminated when all interfered nodes are in the interference range and all boundary nodes are out of the interference range.
In a preferred embodiment of the present invention, in step S3, the method for analyzing and calculating the position relationship between the interference range and the boundary node comprises:
judging whether the boundary node is in the interference range, if so, selecting two virtual boundary nodes closest to the two sides of the boundary node, recalculating coordinates of the two selected virtual boundary nodes, and adding the two virtual boundary nodes into a new virtual boundary node set; if not, terminating the iterative calculation when all interfered nodes are in the interference range and all boundary nodes are out of the interference range.
Further, in step S3, the specific step of analyzing and calculating the position relationship between the interference range and the boundary node includes:
assuming that the initial interference source coordinate is c and the interference distance is r, if the distance from some nodes in the boundary node set B to the interference source c is less than the interference distance r, it is denoted as BP ═ Bq1,bq2,……,bqk,k<m }, and | bqi–c|<r (i is less than or equal to k); then for each node b in the BPqiCalculating included angles between all virtual boundary nodes in the virtual boundary node set V and bqi relative to the interference source c, and selecting two points V with the minimum included angleq1，vq2(q1 ≠ i, q2 ≠ i), assuming that it corresponds to the node pair in BJ as (b)q1，jq1),(bq2，jq2) The virtual node coordinates are recalculated using the following equation:
v'q1＝α×bq1+(1-α)×jq1 (2)
v’q2＝α×bq2+(1-α)×jq2 (3)
where alpha is the adjustment coefficient and has a value of 0,1]To (c) to (d); v'q1And v'q2Replacing an original node V in a virtual boundary node set Vq1And vq2；
And repeating the operation on all the nodes in the BP to update the nodes in the set V to obtain an updated virtual boundary node set V'.
In a preferred embodiment of the present invention, in step S5, the conditions for the iteration to terminate are:
(1) all interfered nodes are within the interference range and all boundary nodes are outside the interference range; or
(2) The maximum calculation times is larger than a preset maximum threshold value maxN, and the maxN is 10.
The invention has the beneficial effects that:
(1) the invention provides a novel interference source positioning technology, aiming at interfered sensor network nodes, constructing a group of virtual boundary nodes by using boundary nodes around an interference area and interfered nodes in the middle of the interference area, taking the nodes as temporary interference boundaries, and calculating a circle center and a radius as an interference range by using a least square method fitting mode; according to the condition of coverage of the interference range, correcting the interference range to a direction close to an actual interference area, constructing a new virtual node to be fitted again to obtain a new circle center and range, and obtaining a final circle center position through multiple iterations, namely positioning the coordinates of the interference source node;
(2) the method has simple steps, easy realization and high positioning precision, solves the problem that the position of the interference source needs to be accurately detected when the sensor network is attacked by a single interference source, and is suitable for scenes with non-uniform distribution of network nodes.
Drawings
FIG. 1 is a flow chart of a single interferer locating method based on virtual boundary point fitting according to the present invention;
FIG. 2 is a schematic diagram of a preferred embodiment of the actual sensor network conditions;
fig. 3 is a schematic diagram of constructing virtual boundary nodes in step S2 and preliminarily fitting interference ranges;
fig. 4 is a schematic diagram of constructing a new virtual boundary node in step S3;
fig. 5 is a schematic diagram of interference ranges obtained by the re-fitting in step S4.
The parts in the drawings are numbered as follows: 1. interference source node, 2, interfered node, 3, boundary node, 4, actual interference boundary, 5, preliminary interference boundary, 6, virtual boundary node, 7, recalculated virtual boundary node, 8, new interference boundary.
Detailed Description
The following detailed description of the preferred embodiments of the present invention, taken in conjunction with the accompanying drawings, will make the advantages and features of the invention easier to understand by those skilled in the art, and thus will clearly and clearly define the scope of the invention.
Referring to fig. 1, an embodiment of the present invention includes:
a single interference source positioning method based on virtual boundary point fitting comprises the following steps:
s1: calculating the distance between the boundary node 3 and the interfered node 2 in the sensor network, and selecting the nearest point pair to obtain the coordinate value of the virtual boundary node 6; with reference to fig. 2, the circle center of the actual interference boundary 4 is the interference source node 1, and the specific calculation process includes:
s1.1: calculating the distance between each point in the boundary node set B and each point in the interfered node set J, and finding out each boundary node BjNearest interfering node jkiThe set of node pairs BJ { (b)1，jk1),(b2，jk2),…(bm,jkm)}；
S1.2: and calculating the coordinate value of the virtual boundary node, wherein the calculation formula is as follows:
v1＝(b1+jk1)/2，v2＝(b2+jk2)/2,······，vm＝(bm+jkm)/2 (1)
obtaining a virtual boundary node set V ═ V1,v2,···,vm}。
S2: with reference to fig. 3, fitting a circular area of an interference range by using the virtual boundary nodes to obtain a preliminary interference source coordinate and an interference distance;
preferably, a least square method is adopted to fit a circular area of the interference range to obtain a preliminary interference boundary 5, the circle center of which is an interference source coordinate c, and the radius of which is an interference distance r.
S3: analyzing and calculating the position relation between the interference range and the boundary node 3 and the interfered node 2, and adjusting and calculating to obtain a new virtual boundary node;
s3.1: the method for analyzing and calculating the position relation between the interference range and the interfered node 2 comprises the following steps:
judging whether the interfered node 2 is in an interference range, if not, adding the interfered node 2 into a new virtual boundary node set; if within the interference range, the iterative calculation is terminated when all interfered nodes 2 are within the interference range and all border nodes 3 are outside the interference range. The method comprises the following specific steps:
if the interfered node set J has a subset JP ═ Jp1,jp2,···,jpt,t<m, distance | j from any node to c in JPpi–c|>r (i ≧ t), all points in JP are added to the set V', and points already in V are not added repeatedly.
S3.2: the method for analyzing and calculating the position relation between the interference range and the boundary node 3 comprises the following steps:
judging whether the boundary node 3 is in an interference range, if so, selecting two nearest virtual boundary nodes 6 on two sides of the boundary node, recalculating coordinates of the two selected virtual boundary nodes, and adding the two virtual boundary nodes into a new virtual boundary node set; if not, the iterative calculation is terminated when all interfered nodes 2 are within the interference range and all border nodes 3 are outside the interference range. The method comprises the following specific steps:
assuming that the initial interference source coordinate is c and the interference distance is r, if the distance from some nodes in the boundary node set B to the interference source c is less than the interference distance r, it is denoted as BP ═ Bq1,bq2,……,bqk,k<m }, and|bqi–c|<r (i is less than or equal to k); then for each node b in the BPqiCalculating included angles between all virtual boundary nodes in the virtual boundary node set V and bqi relative to the interference source c, and selecting two points V with the minimum included angleq1，vq2(q1 ≠ i, q2 ≠ i), assuming that it corresponds to the node pair in BJ as (b)q1，jq1),(bq2，jq2) The virtual node 7 coordinates are recalculated using the following equation:
v'q1＝α×bq1+(1-α)×jq1 (2)
v’q2＝α×bq2+(1-α)×jq2 (3)
where alpha is the adjustment coefficient and has a value of 0,1]To (c) to (d); v'q1And v'q2Replacing an original node V in a virtual boundary node set Vq1And vq2；
The above operations are repeated for all the nodes in the BP, and the nodes in the set V are updated to obtain an updated virtual boundary node set V', as shown in fig. 4.
S4: fitting and calculating again by using the new virtual boundary node set V' to obtain new interference source coordinates and interference distances; preferably, a least square method is used to fit a circular area of the interference range to obtain a new interference boundary 8, the center of which is the interference source coordinate c 'and the radius of which is the interference distance r', as shown in fig. 5.
S5: and repeating the steps S2 to S4 for a plurality of iterations until the optimal interference source coordinate and interference distance are calculated. The operation is stopped when one of the following two conditions is satisfied: firstly, all nodes in a boundary node set B are not in an interference range, and all nodes in an interfered node set J are in the interference range; and secondly, if errors occur in repeated steps, so that the nodes in the node set B can not fall in the interference range after multiple times of calculation, the calculation is not carried out after the adjustment times reach the preset maximum threshold value maxN, and the existing errors are reserved in the calculation result. Preferably, the value of maxN is generally set to 10. The final c and r are the interferer coordinates and the interferer radius.
The invention provides a novel interference source positioning technology, which has the advantages of simple steps, easy realization and high positioning precision, and solves the problem that the position of an interference source needs to be accurately detected when a sensor network is attacked by a single interference source. Aiming at interfered sensor network nodes, constructing a group of virtual boundary nodes by using boundary nodes around an interference area and interfered nodes in the middle of the interference area, taking the nodes as temporary interference boundaries, and calculating a circle center and a radius by using a least square method fitting mode to be used as an interference range; according to the condition of coverage of the interference range, the interference range is corrected to the direction close to the actual interference area, a new virtual node is constructed to be fitted again, a new circle center and a range are obtained, and the final circle center position obtained through multiple iterations is the interference source node coordinate obtained through positioning.
The above description is only an embodiment of the present invention, and not intended to limit the scope of the present invention, and all modifications of equivalent structures and equivalent processes performed by the present specification and drawings, or directly or indirectly applied to other related technical fields, are included in the scope of the present invention.
Claims (3)
1. A single interference source positioning method based on virtual boundary point fitting comprises the following steps:
s1: calculating the distance between a boundary node and an interfered node in the sensor network, and selecting the nearest point pair to obtain the coordinate value of the virtual boundary node; the specific calculation process comprises the following steps:
s1.1: calculating the distance between each point in the boundary node set B and each point in the interfered node set J, and finding out each boundary node BjNearest interfering node jkiThe set of node pairs BJ { (b)1，jk1)，(b2，jk2)，...(bm，jkm)}；
S1.2: and calculating the coordinate value of the virtual boundary node, wherein the calculation formula is as follows:
v1＝(b1+jk1)/2，v2＝(b2+jk2)/2，……，vm＝(bm+jkm)/2 (1)
obtaining virtual boundariesSet of nodes V ═ { V ═ V1，v2，…，vm}；
S2: fitting a circular area of an interference range by using the virtual boundary nodes to obtain a preliminary interference source coordinate and an interference distance;
s3: analyzing and calculating the position relation between the interference range and the boundary node and the interfered node, and adjusting and calculating to obtain a new virtual boundary node;
the method for analyzing and calculating the position relation between the interference range and the interfered node comprises the following steps:
judging whether the interfered node is in an interference range or not, and if not, adding the interfered node into a new virtual boundary node set; if the node is in the interference range, terminating the iterative computation when all interfered nodes are in the interference range and all boundary nodes are out of the interference range;
the method for analyzing and calculating the position relation between the interference range and the boundary node comprises the following steps:
judging whether the boundary node is in the interference range, if so, selecting two virtual boundary nodes closest to the two sides of the boundary node, recalculating coordinates of the two selected virtual boundary nodes, and adding the two virtual boundary nodes into a new virtual boundary node set; if the node is not in the interference range, terminating the iterative computation when all interfered nodes are in the interference range and all boundary nodes are out of the interference range; the method comprises the following specific steps:
assuming that the initial interference source coordinate is c and the interference distance is r, if the distance from some nodes in the boundary node set B to the interference source c is less than the interference distance r, it is denoted as BP ═ Bq1，bq2，……，bqkK < m }, and | bqi-c | < r (i ≦ k); then for each node b in the BPqiCalculating included angles between all virtual boundary nodes in the virtual boundary node set V and bqi relative to the interference source c, and selecting two points V with the minimum included angleq1，vq2(q1 ≠ i, q2 ≠ i), assuming that it corresponds to the node pair in BJ as (b)q1，jq1)，(bq2，jq2) The virtual boundary node coordinates are recalculated using the following equation:
v′q1＝α×bq1+(1-α)×jq1 (2)
v’q2＝α×bq2+(1-α)×jq2 (3)
where alpha is the adjustment coefficient and has a value of 0,1]To (c) to (d); v'q1And v'q2Replacing an original node V in a virtual boundary node set Vq1And vq2；
Repeating the operation on all the nodes in the BP, and updating the nodes in the set V to obtain an updated virtual boundary node set V';
s4: fitting and calculating again by using the new virtual boundary node to obtain a new interference source coordinate and an interference distance;
s5: and repeating the steps S2 to S4 for multiple iterations until the optimal interference source coordinates and interference distance are calculated.
2. The method of claim 1, wherein in steps S2 and S4, a least square method is used for the fitting calculation.
3. The method for locating a single interference source based on virtual boundary point fitting according to claim 1, wherein in step S5, the condition for terminating the iteration is:
(1) all interfered nodes are within the interference range and all boundary nodes are outside the interference range; or
(2) The maximum calculation times is larger than a preset maximum threshold value maxN, and the maxN is 10.
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