CN108174383B - Monitoring station deployment method and blind source separation method of gridding radio signal monitoring system - Google Patents

Monitoring station deployment method and blind source separation method of gridding radio signal monitoring system Download PDF

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CN108174383B
CN108174383B CN201711327497.8A CN201711327497A CN108174383B CN 108174383 B CN108174383 B CN 108174383B CN 201711327497 A CN201711327497 A CN 201711327497A CN 108174383 B CN108174383 B CN 108174383B
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朱天枢
张竟枢
李斗
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Peking University
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Abstract

The invention discloses a monitoring station deployment method and a blind source separation method of a gridding radio signal monitoring system. The monitoring station deployment method comprises the following steps: four base stations and four monitoring stations are arranged in each monitoring area of the gridding radio signal monitoring system; the base stations and the monitoring stations in the same monitoring area are located on or approximately located on the same circle, the base stations are distributed at equal intervals, and the monitoring stations are distributed symmetrically on two horizontal and vertical symmetric axes of a square with the four base stations as vertexes. The invention can efficiently and real-timely detect the abnormal signal source of the pseudo base station and is convenient to remove in time.

Description

Monitoring station deployment method and blind source separation method of gridding radio signal monitoring system
Technical Field
The invention belongs to the technical field of digital communication, and particularly relates to a deployment method and a blind source separation method of a monitoring station and a base station in a gridding radio signal monitoring system.
Background
The development of 5G technology makes future mobile communication have the trend of ultra-dense networking. In the existing radio signal monitoring system, monitoring stations are sparsely distributed, and received monitoring signals are only signals sent by a high-power base station and are not suitable for the development requirements of future mobile communication.
A gridding radio signal monitoring system is a system which divides a monitoring area into grids according to the distribution condition of wireless communication base stations and adopts a miniature monitoring station with small size and low power consumption to monitor. The system has the advantages that the signal information received by each monitoring station can be collected, sorted and comprehensively analyzed, more accurate and comprehensive monitoring is realized, meanwhile, the interference of abnormal signals is accurately detected, and the system is in accordance with the development trend of the future mobile communication ultra-dense networking.
In a gridding radio signal monitoring system, a monitoring station receives mixed superposition of signals sent by a plurality of signal sources (base stations), and the key problems of the monitoring station are as follows: the problem of blind source separation is how to effectively separate signals sent by signal sources on the premise that only mixed signals received by a monitoring station are known.
The Independent Component Analysis (ICA) method is a classical approach to the blind source separation problem. Based on the mutual independence and non-Gaussian property of each signal source, the method searches the direction with the maximum non-Gaussian property from a random vector, then iterates until the direction converges, and considers that the signal source is a certain signal source needing to be separated. In practical application, how to find out abnormal signal sources such as a pseudo base station as soon as possible in time for removing the abnormal signal sources is an important problem to be solved urgently.
Disclosure of Invention
Aiming at the technical problems in the prior art, the invention aims to provide a monitoring station deployment method and a blind source separation method of a gridding radio signal monitoring system. Which comprises the following steps: the method has the advantages that due to the adoption of a proper blind source separation mode and a monitoring station distribution mode, the abnormal signal source of the pseudo base station can be detected with high efficiency and real-time performance, and timely elimination work is facilitated.
The technical scheme of the invention is as follows:
a monitoring station deployment method of a gridding radio signal monitoring system is characterized in that four base stations and four monitoring stations are arranged in each monitoring area of the gridding radio signal monitoring system; the base stations and the monitoring stations in the same monitoring area are located on or approximately located on the same circle, the base stations are distributed at equal intervals, and the monitoring stations are distributed symmetrically on two horizontal and vertical symmetric axes of a square with the four base stations as vertexes.
A blind source separation method comprising the steps of:
1) selecting signals of continuous N sample points from each monitoring station in the same monitoring area of the gridding radio signal monitoring system to form an M multiplied by N matrix; wherein M is the total number of monitoring stations in the same monitoring area of the gridding radio signal monitoring system; subtracting the row signal mean value from each signal in each row in the M multiplied by N matrix to obtain a matrix x, and whitening the matrix x; the signal of the sample point is a signal which is received by the monitoring station and is obtained by superposing signals sent by various signal sources;
2) randomly selecting a vector w with the length of N; according to the formula w ═ E { z (w)Tz)3-3w } calculating a vector w'; wherein E is CxThe unit norm eigenvectors are used as a matrix of columns, CxA covariance matrix which is a matrix x; z is the matrix whitened by the matrix x, vector wTIs a transpose of the vector w;
3) determining whether the vector w is converged according to a comparison result of the vector w' and the vector w, and if so, separating a signal source from the currently monitored signal source; if not, assigning w' to w, and returning to the step 2) to perform iterative calculation until w converges;
4) if p signal sources s have been previously isolated1,…,spThen the currently separated signal source s is usedp+1Then p signal sources s are separated according to the separation1,…,spFor signal source sp+1Carrying out quasi-orthogonalization; then returning to the step 2), if M +1 signal sources are separated, performing the step 5);
5) and comparing the separated signal of each signal source with the corresponding historical signal, and judging the abnormal signal source.
Further, the total number M of monitoring stations in the same monitoring area takes the value of 4; the total number of normal signal sources in the same monitoring area is 4; the normal signal sources and the monitoring stations in the same monitoring area are located on or approximately located on the same circle, the normal signal sources are distributed at equal intervals, and the monitoring stations are distributed on two symmetrical axes which are vertical and horizontal and are of a square with four normal signal sources as vertexes and are symmetrically distributed.
Further, using the formula z ═ D-1/2ETx whitening the matrix x; wherein D is a covariance matrix C with xx=E(xxT) Each eigenvalue of (a) is a diagonal matrix of diagonal elements, and E is CxThe unit norm eigenvectors serve as a matrix of columns.
Further in accordance with
Figure BDA0001505947210000021
For signal source sp+1Carrying out quasi-orthogonalization; wherein s isjFor the jth separated signal source,
Figure BDA0001505947210000022
for the inner product of these two vectors, α ∈ [0,1]]Are quasi-orthogonal coefficients.
Further, the value range of the quasi-orthogonal coefficient alpha is 0.5-0.7.
Further, in the step 5), if the signal of one signal source is compared with the historical normal data, the signal is judged to be an abnormal signal source if the signal exceeds the upper and lower limit set range.
Compared with the prior art, the invention has the following positive effects:
the prior art is difficult to monitor abnormal signals mixed in normal radio signals, and the technology can achieve the detection rate of more than 90% of the abnormal signals under the condition that the false alarm probability does not exceed 3.5%.
Drawings
Fig. 1 is a division of the monitoring area in a typical scenario, where each circular area contains 4 base stations (five-pointed star), referred to as a monitoring area.
Fig. 2 shows the positions where monitoring stations should be located in each of the divided monitoring areas.
Fig. 3 is a flow chart of blind source separation in the present invention.
Detailed Description
In order to facilitate the understanding of the technical contents of the present invention by those skilled in the art, the present invention will be further explained with reference to the accompanying drawings.
In the exemplary scenario shown in fig. 1, the five-pointed star is the base station location. In consideration of the geographical distribution of city blocks and the ultra-dense networking mode of future mobile communication, 4 base stations are proposed as a group to divide a gridding monitoring area. Meanwhile, the results of the simulation tests also show that the detection success rate of abnormal signals is the highest by taking 4 base stations as a group. Therefore, as shown in fig. 1, 4 base stations contained in each circle are grouped, and 4 monitoring stations are arranged in the area of each group of base stations.
Within each monitoring area (a circular area containing 4 base stations as shown in fig. 1), simulations were performed based on the different relative positions of the monitoring stations and the base stations. The results show that the relative position for the best effect should be as shown in fig. 2: the 4 base stations represented by the pentagram form a square, and the monitoring stations represented by the triangle are arranged on two symmetrical axes in the horizontal and vertical directions of the square and are symmetrically distributed. The monitoring station and the base station should be located on approximately the same circle.
The signals received by the monitoring station are obtained by attenuating and superposing signals sent by all base stations in a monitoring area through different channels. During the monitoring process, a sample of the power level signal of the monitoring station is taken at an interval of one hour (e.g., 5-10 seconds), called a sample point. As shown in fig. 3, for a monitoring area, after 1500-2000 sample points of all monitoring stations are generally acquired, blind source separation can be performed on signals received by the monitoring stations according to the following steps:
1. there are M monitoring stations. And selecting signals of continuous N sample points of each monitoring station to form an M multiplied by N matrix. And subtracting the mean value of each row to finish centralization to obtain a matrix x, and whitening the matrix x according to the formula (1):
z=D-1/2ETx (1)
wherein D is a covariance matrix C of matrix xx=E(xxT) Each eigenvalue of (a) is a diagonal matrix of diagonal elements, E is CxThe unit norm eigenvectors are used as a matrix of columns, matrix xTA transposed matrix of x.
2. Selecting a random vector w with the length of N, and calculating according to the formula (2):
w′=E{z(wTz)3-3w} (2)
wherein wTIs a transposed vector of w. After obtaining w ', normalizing the w' to change the norm (modulus) into unit norm (modulus);
3. if w' is almost the same as the vector w (converges), then a signal source s is considered to have been isolated; if the difference is still left, assigning w' to w, and returning to the step 2 to perform iterative calculation until w converges.
4. Suppose that p signal sources s have been separated out1,…,spWhen an s is separated againp+1Then, the quasi-orthogonalization is performed according to the formula (3):
Figure BDA0001505947210000041
wherein alpha is equal to 0,1 and is called as quasi-orthogonal coefficient, and is generally 0.5-0.7.
5. And returning to the step 2 until M +1 signal sources are separated. The separated signal sources do not have a certain sequence corresponding relation;
6. in the separated signal sources, compared with historical normal data, the abnormal signals are judged to appear if the abnormal signals exceed the upper and lower boundaries to a certain degree;
7. if the abnormal signal source characteristics exist, the abnormality is successfully found, and if the abnormal signal source characteristics do not exist, the abnormality is judged to appear, and a false alarm appears.
The foregoing description of the preferred embodiments of the present invention has been included to describe the features of the invention in detail, and is not intended to limit the inventive concepts to the particular forms of the embodiments described, as other modifications and variations within the spirit of the inventive concepts will be protected by this patent. The subject matter of the present disclosure is defined by the claims, not the detailed description of the embodiments.

Claims (6)

1. A monitoring station deployment and blind source separation method of a gridding radio signal monitoring system is characterized in that four base stations and four monitoring stations are arranged in each monitoring area of the gridding radio signal monitoring system; the base stations and the monitoring stations in the same monitoring area are positioned on or approximately positioned on the same circle, the base stations are distributed at equal intervals, and the monitoring stations are distributed on the horizontal and vertical symmetrical axes of a square with the four base stations as vertexes and are symmetrically distributed; the blind source separation method comprises the following steps: 1) selecting signals of continuous N sample points from each monitoring station in the same monitoring area of the gridding radio signal monitoring system to form an M multiplied by N matrix; wherein M is the total number of monitoring stations in the same monitoring area of the gridding radio signal monitoring system; subtracting the row signal mean value from each signal in each row in the M multiplied by N matrix to obtain a matrix x, and whitening the matrix x; the signal of the sample point is a signal which is received by the monitoring station and is obtained by superposing signals sent by various signal sources; 2) randomly selecting a vector w with the length of N; according to the formula w ═ E { z (w)Tz)3-3w } calculating a vector w'; wherein E is CxUnit norm eigenvectors as column componentsMatrix of CxA covariance matrix which is a matrix x; z is the matrix whitened by the matrix x, vector wTIs a transpose of the vector w; 3) determining whether the vector w is converged according to a comparison result of the vector w' and the vector w, and if so, separating a signal source from the currently monitored signal source; if not, assigning w' to w, and returning to the step 2) to perform iterative calculation until w converges; 4) if p signal sources s have been previously isolated1,…,spThen p signal sources s are separated according to the separation1,…,spFor currently separated signal source sp+1Carrying out quasi-orthogonalization; then returning to the step 2), if M +1 signal sources are separated, performing the step 5); 5) and comparing the separated signal of each signal source with the corresponding historical signal, and judging the abnormal signal source.
2. The method of claim 1, wherein the total number M of monitoring stations in the same monitoring area takes a value of 4; the total number of normal signal sources in the same monitoring area is 4; the normal signal sources and the monitoring stations in the same monitoring area are located on or approximately located on the same circle, the normal signal sources are distributed at equal intervals, and the monitoring stations are distributed on two symmetrical axes which are vertical and horizontal and are of a square with four normal signal sources as vertexes and are symmetrically distributed.
3. The method of claim 1, wherein the formula z-D is used-1/2ETx whitening the matrix x; wherein D is a covariance matrix C with xx=E(xxT) Each eigenvalue of (a) is a diagonal matrix of diagonal elements, and E is CxThe unit norm eigenvectors serve as a matrix of columns.
4. A method according to claim 1, 2 or 3, characterised in that it is based on
Figure FDA0002576754100000011
For signal source sp+1Carrying out quasi-orthogonalization; wherein s isjIs the jthThe separated signal source is used for providing a signal source,
Figure FDA0002576754100000012
for the inner product of these two vectors, α ∈ [0,1]]Are quasi-orthogonal coefficients.
5. The method of claim 4, wherein the quasi-orthogonal coefficient α ranges from 0.5 to 0.7.
6. The method as claimed in claim 1, wherein in step 5), if the signal of a signal source is compared with its historical normal data, it is determined as an abnormal signal source if the signal exceeds the upper and lower limits.
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