CN111060975B - Method for detecting ground penetrating radar target - Google Patents
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- G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
- G01V3/00—Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation
- G01V3/12—Electric or magnetic prospecting or detecting; Measuring magnetic field characteristics of the earth, e.g. declination, deviation operating with electromagnetic waves
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/88—Radar or analogous systems specially adapted for specific applications
- G01S13/89—Radar or analogous systems specially adapted for specific applications for mapping or imaging
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- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/41—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00 using analysis of echo signal for target characterisation; Target signature; Target cross-section
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Abstract
The invention provides a method for detecting a ground penetrating radar target, which comprises the steps of carrying out periodic sampling processing on a received target echo signal, carrying out principal component analysis on an obtained multidimensional observation matrix, carrying out matrix reconstruction after separating a strong direct wave and a strong ground clutter, and comparing the energy difference between a current target echo signal and a historical echo signal through linear prediction to judge the existence state of the target. By adopting a principal component analysis technology, the problem that the detection of target echo signals is influenced by strong direct waves and strong ground clutter faced by the ground penetrating radar is solved; the linear prediction technology is used to replace the traditional detection mode of directly using the target signal intensity to resist the clutter intensity, and the signal-to-noise-and-noise ratio of the target echo under the clutter is greatly improved.
Description
Technical Field
The invention relates to the technical field of ground penetrating radars, in particular to a method for detecting a target of a ground penetrating radar.
Background
The ground penetrating radar transmits specially designed electromagnetic wave signals to penetrate the ground to irradiate the targets buried underground, and detects various targets buried underground by detecting the electromagnetic wave signals reflected by the targets. However, since the attenuation of electromagnetic waves is much greater when the electromagnetic waves propagate in the soil than when the electromagnetic waves propagate in the air, the reflection signals of targets buried underground are much weaker than those of targets in the air at the same distance. In addition, the receiving and transmitting antennas of the ground penetrating radar are close to each other, and coupling with certain strength exists between the receiving and transmitting antennas, so that the received signals contain direct wave signals with certain strength. Moreover, the electromagnetic wave transmitted by the ground penetrating radar has stronger reflection at the discontinuous part of the air and the ground surface medium, so that the signal received by the ground penetrating radar contains stronger ground surface clutter. Further analysis, due to the uneven distribution characteristic of the soil medium, electromagnetic waves are reflected at discontinuous parts of the soil distribution, clutter is formed by the reflected signals which do not come from targets, and as target signals are always superposed on the clutter, the strength of a plurality of target signals is far from meeting the requirement of resisting the strong clutter, so that the development of a method for effectively detecting the underground targets becomes a very urgent problem.
In the existing ground penetrating radar system, a method of comparing target echoes with clutter to decide the existence of a target is generally adopted, and the following criteria are generally adopted: firstly, the power of a target echo point must be larger than a certain threshold, so that the signal power of the echo point is ensured to be larger than the clutter plus noise power; second, the power of clutter and noise signals around the target echo must be less than a certain threshold, which prevents strong interference signals near the target echo point from leaking into and causing time-varying interference to the target point.
The key to the adoption of the above criterion is that the power of the echo point of the target must be against the clutter plus noise signal power near the target. The traditional processing method has the problem of insufficient effect of strong clutter suppression, and the traditional ground penetrating radar has poor applicability to the detection method of the underground target because the target signal is always received along with the strong clutter and the signal power from the target cannot resist the power of the strong clutter signal in many cases.
The prior art related to the present application is patent document CN109709544A, and discloses a method for removing clutter of a ground penetrating radar, which includes the following steps: step S1: focusing the original data of the ground penetrating radar by using a Stolt offset method to obtain a ground penetrating radar image matrix M; step S2: decomposing the ground penetrating radar image M by using a robust principal component analysis method to obtain a low-rank matrix L and a sparse matrix S, namely a clutter L and a target S; step S3: and removing the clutter L, wherein the reserved target S is the ground penetrating radar image after the clutter is finally removed.
Disclosure of Invention
In view of the defects in the prior art, the invention aims to provide a method for detecting a ground penetrating radar target.
According to the method for detecting the target of the ground penetrating radar, provided by the invention, the received target echo signal is subjected to periodic sampling processing, the obtained multidimensional observation matrix is subjected to principal component analysis, strong direct waves and strong ground clutter are separated and then matrix reconstruction is carried out, and the energy difference between the current target echo signal and the historical echo signal is compared through linear prediction to judge the existence state of the target.
Preferably, the method comprises the following steps:
step 1: arranging N echo signals from a target into N-dimensional vectors according to a time ascending sequence, arranging the N-dimensional vectors which are scanned for P times with respect to the ground into a P multiplied by N-dimensional received data matrix X, and performing principal component analysis on the received data matrix to obtain principal components;
step 2: arranging singular values corresponding to the obtained principal components in a descending order, and separating linear subspaces corresponding to the principal components forming the strong direct waves and the strong ground clutter;
and step 3: reconstructing principal components corresponding to the separated residual linear subspaces into a reconstructed data matrix
And 4, step 4: selecting a reconstructed data matrixFrom the ith, the continuous K groups of data vectors form a K matrixAdjusting the weighting factor AiSo that the mean square error epsilon is obtained by the calculation of formula (1)iObtaining a minimum value:
and 5: sequentially adding the vector serial numbers i, and successively calculating the coefficient A of the corresponding continuous k frame reconstruction data matrix under each serial number in the received dataiAnd (3) sorting residual vectors of the k +1 frames under weighting according to the ascending order of the sequence number i into a residual matrix delta [ [ epsilon ] ]1,ε2,…εP-k](ii) a Forming test statistic xi from residual matrix deltai,jA decision is made as to the presence or absence of a target.
Preferably, the step 1 comprises:
step 1.1: at constant time intervals TSSampling the echo to obtain echo data corresponding to the two-way delay of the echo, arranging the data from small to large according to the delay, and sequentially from T to T0Starting, continuously selecting N point data to form a one-dimensional vector containing N elements;
step 1.2: at constant time intervals TmRepeating the method in the step 1.1, and sequentially collecting P groups of vectors to form a P multiplied by N dimension receiving data matrix X;
step 1.3: the SVD singular value decomposition is carried out on the P multiplied by N dimensional receiving data matrix X as follows:
wherein, the PxN dimensional matrix U ═ U1,u2,…,uN]N × N dimensional matrix V ═ V1,v2,…,vN]A matrix representing orthogonal bases; sigma ═ σ { (σ)i,iIs a diagonal matrix of singular values in the NxN dimension, the values being arranged in descending order, i.e.Is the principal component of matrix X.
Preferably, the step 3 comprises:
step 3.1: forming a new principal component matrix by the M orthogonal bases after separating the direct wave and the strong earth clutter
preferably, the step 4 comprises:
step 4.1: estimating the residual error according to the minimum mean square error criterionMinimum weighting factor Ai=[ai1,ai2,...,aik]T;
Step 4.2: calculating to obtain the linear prediction residual error of the ith estimation:
preferably, the step 5 comprises:
step 5.1: making continuous P-k times linear prediction for vector sequence number from i, and predicting residual error epsiloniArranging a matrix delta according to the ascending order of the serial number i;
step 5.2: on a two-dimensional plane formed by a two-dimensional matrix delta, an inspection statistic xi is formedi,j;
Step 5.3: according to test statistic xii,jA determination is made as to the presence or absence of a target.
Compared with the prior art, the invention has the following beneficial effects:
1. by adopting a principal component analysis technology, the problem that the detection of target echo signals is influenced by strong direct waves and strong ground clutter faced by the ground penetrating radar is solved;
2. the linear prediction technology is used to replace the traditional detection mode of directly using the target signal intensity to resist the clutter intensity, and the signal-to-noise-and-noise ratio of the target echo under the clutter is greatly improved.
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Other features, objects and advantages of the invention will become more apparent upon reading of the detailed description of non-limiting embodiments with reference to the following drawings:
FIG. 1 is a system framework diagram of the present invention.
Detailed Description
The present invention will be described in detail with reference to specific examples. The following examples will assist those skilled in the art in further understanding the invention, but are not intended to limit the invention in any way. It should be noted that it would be obvious to those skilled in the art that various changes and modifications can be made without departing from the spirit of the invention. All falling within the scope of the present invention.
As shown in fig. 1, the method is mainly used in the field of ground penetrating radar target detection, and can greatly suppress the influence of strong direct waves and strong ground clutter on target echo signal detection, and simultaneously, the signal-to-noise ratio of the target echo signal is greatly improved by a linear prediction method. The core content of the invention mainly comprises a principal component analysis method and a linear prediction method. The method mainly comprises signal receiving and sampling, principal component analysis and linear prediction analysis.
The signal receiving and sampling mainly completes the acquisition processing of the periodic received signals. Specifically, the following steps are mainly adopted:
step 1: the received signal is periodically sampled to form an N point data vector, and the N point data vector is calculated to obtain the two-way delayCorresponding data vectorRepeating observation for P times for a plurality of observation positions along the scanning direction in sequence to obtain a P multiplied by N dimensional observation matrix: x ═ Xi,xi+1,…xi+P};
The principal component analysis mainly realizes effective suppression of direct waves and strong ground clutter signals received simultaneously with target echo signals, and specifically, the method can be divided into the following steps:
step 1: and arranging N-dimensional receiving vectors obtained by scanning the ground for P times in sequence into a P multiplied by N-dimensional receiving data matrix X, and performing principal component analysis on the matrix.
Step 2: arranging singular values corresponding to the obtained principal components in a descending order, and separating a linear subspace corresponding to the principal components forming the strong direct wave and the strong ground clutter;
and step 3: reconstructing principal components corresponding to the separated residual linear subspaces into a data matrix
In particular, at constant time intervals TSSampling the echo to obtain echo data corresponding to the two-way delay of the echo, arranging the data from small to large according to the delay, and sequentially from T to T0Starting, continuously selecting N point data to form a one-dimensional vector containing N elements;
at a constant timeInterval TmRepeatedly and sequentially collecting P groups of vectors to form a P multiplied by N dimension receiving data matrix X;
the SVD singular value decomposition is carried out on the P multiplied by N dimensional receiving data matrix X as follows:
wherein, the PxN dimensional matrix U ═ U1,u2,…,uN]N × N dimensional matrix V ═ V1,v2,…,vN]A matrix representing orthogonal bases; sigma ═ σ { (σ)i,iIs a diagonal matrix of singular values in dimension NxN, with values arranged in descending order, i.e. σi-1,i-1≥σi,i,yi=σi,ivi,Is the principal component of matrix X.
Forming a new principal component matrix by the M orthogonal bases after separating the direct wave and the strong earth clutter
the linear predictive analysis is mainly used for analyzing the energy difference between the observation of the current target echo and the observation of the historical echo, and comprises the following steps:
step 1: selecting matrixThe weighting coefficient A is adjusted in the continuous k groups of data vectors from the ithiMinimizing mean square error
Step 2: the sequence number i is added, residual quantities of the corresponding continuous k frames to the k +1 frames under each sequence number are calculated in sequence in the received data, and the residual quantities are sorted according to the ascending sequence of the sequence number i into a residual matrix delta [ [ epsilon ] ]1,ε2,…εP-k];
And step 3: and forming a test statistic according to the CFAR criterion for the two-dimensional residual matrix delta obtained by estimation in the step, and judging whether the target exists or not according to the test statistic to finish the target detection for the ground penetrating radar.
In particular, the residual error is estimated according to a minimum mean square error criterionMinimum weighting factor Ai=[ai1,ai2,...,aik]T;
Calculating to obtain the linear prediction residual error of the ith estimation:
making continuous P-k times linear prediction for vector sequence number from i, and predicting residual error epsiloniArranging a matrix delta according to the ascending order of the serial number i;
on a two-dimensional plane formed by a two-dimensional matrix delta, an inspection statistic xi is formedi,j;
According to test statistic xii,jA determination is made as to the presence or absence of a target.
Those skilled in the art will appreciate that, in addition to implementing the systems, apparatus, and various modules thereof provided by the present invention in purely computer readable program code, the same procedures can be implemented entirely by logically programming method steps such that the systems, apparatus, and various modules thereof are provided in the form of logic gates, switches, application specific integrated circuits, programmable logic controllers, embedded microcontrollers and the like. Therefore, the system, the device and the modules thereof provided by the present invention can be considered as a hardware component, and the modules included in the system, the device and the modules thereof for implementing various programs can also be considered as structures in the hardware component; modules for performing various functions may also be considered to be both software programs for performing the methods and structures within hardware components.
The foregoing description of specific embodiments of the present invention has been presented. It is to be understood that the present invention is not limited to the specific embodiments described above, and that various changes or modifications may be made by one skilled in the art within the scope of the appended claims without departing from the spirit of the invention. The embodiments and features of the embodiments of the present application may be combined with each other arbitrarily without conflict.
Claims (5)
1. A method for detecting a ground penetrating radar target is characterized in that a received target echo signal is subjected to periodic sampling processing, an obtained multidimensional observation matrix is subjected to principal component analysis, strong direct waves and strong ground clutter are separated, then matrix reconstruction is carried out, energy difference between a current target echo signal and a historical echo signal is compared through linear prediction, and the existence state of the target is judged; the principal component analysis realizes effective suppression of direct waves and strong ground clutter signals received simultaneously with target echo signals; the linear prediction is used for analyzing the energy difference between the observation of the current target echo and the historical echo observation;
the method comprises the following steps:
step 1: arranging N echo signals from a target into N-dimensional vectors according to a time ascending sequence, arranging the N-dimensional vectors which are scanned for P times with respect to the ground into a P multiplied by N-dimensional received data matrix X, and performing principal component analysis on the received data matrix to obtain principal components;
step 2: arranging singular values corresponding to the obtained principal components in a descending order, and separating linear subspaces corresponding to the principal components forming the strong direct waves and the strong ground clutter;
and step 3: reconstructing principal components corresponding to the separated residual linear subspaces into a reconstructed data matrix
And 4, step 4: selecting a reconstructed data matrixFrom the ith, the continuous K groups of data vectors form a K matrixAdjusting the weighting factor AiSo that the mean square error epsilon is obtained by the calculation of formula (1)iObtaining a minimum value:
and 5: sequentially adding the vector serial numbers i, and successively calculating the coefficient A of the corresponding continuous k frame reconstruction data matrix under each serial number in the received dataiAnd (3) sorting the residual vectors of the k +1 frames under weighting according to the ascending order of the sequence number i into a residual matrix delta [ epsilon ]1,ε2,…εP-k](ii) a Forming a test statistic ξ from a residual matrix Δi,jA decision is made as to the presence or absence of a target.
2. The method for georadar target detection according to claim 1, wherein the step 1 comprises:
step 1.1: at constant time intervals TSSampling the echo to obtain echo data corresponding to the two-way delay of the echo, arranging the data from small to large according to the delay, and sequentially from T to T0Starting, continuously selecting N point data to form a one-dimensional vector containing N elements;
step 1.2: at constant time intervals TmRepeating the method in the step 1.1, and sequentially collecting P groups of vectors to form a P multiplied by N dimension receiving data matrix X;
step 1.3: the SVD singular value decomposition is carried out on the P multiplied by N dimensional receiving data matrix X as follows:
wherein, the PxN dimensional matrix U ═ U1,u2,…,uN]N × N dimensional matrix V ═ V1,v2,…,vN]A matrix representing orthogonal bases; sigma ═ σ { (σ)i,iIs a diagonal matrix of singular values in dimension NxN, with values arranged in descending order, i.e. σi-1,i-1≥σi,i,yi=σi,ivi,Is the principal component of matrix X.
3. The method for georadar target detection according to claim 1, wherein said step 3 comprises:
step 3.1: forming a new principal component matrix by the M orthogonal bases after separating the direct wave and the strong earth clutter
4. the method for georadar target detection according to claim 1, wherein said step 4 comprises:
step 4.1: estimating the residual error according to the minimum mean square error criterionMinimum weighting factor Ai=[ai1,ai2,...,aik]T;
Step 4.2: calculating to obtain the linear prediction residual error of the ith estimation:
5. the method for georadar target detection according to claim 1, wherein said step 5 comprises:
step 5.1: making continuous P-k times linear prediction for vector sequence number from i, and predicting residual error epsiloniArranging the matrix delta in ascending order of the serial number i;
step 5.2: forming a test statistic xi on a two-dimensional plane formed by a two-dimensional matrix deltai,j;
Step 5.3: according to test statistic xii,jA determination is made as to the presence or absence of a target.
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