CN109917361B - Three-dimensional unknown scene imaging method based on bistatic radar - Google Patents
Three-dimensional unknown scene imaging method based on bistatic radar Download PDFInfo
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Abstract
The invention discloses a three-dimensional unknown scene imaging method based on a bistatic radar, relates to radar imaging technology, and particularly relates to three-dimensional unknown scene imaging technology based on the bistatic radar. The unknown region is first scanned in multiple positions and angles based on the bistatic radar, so that the measured data can contain all information of the scene. The scanning scheme only records the attenuation value of the received signal, so that the scanning scheme is also suitable for a narrow-band radar, and the system cost can be effectively reduced. And then performing algebraic iterative reconstruction, positive constraint, total variation minimization constraint and median filtering operation on the measurement vector through a TV-MF-ART sparse reconstruction algorithm provided by the patent, and finally obtaining a high-precision three-dimensional scene image. Therefore, the invention has the advantages of high scanning speed, small calculated amount and high reconstruction precision.
Description
Technical Field
The invention relates to radar imaging technology, in particular to three-dimensional unknown scene imaging technology based on bistatic radar.
Background
The unknown scene imaging technology is a technology of transmitting electromagnetic wave signals of a specific frequency band through a transmitting antenna, receiving echo signals or transmission signals of a scene by a receiving antenna, and enabling a receiving and transmitting antenna to move to finish multi-position and multi-view detection, so that echoes of all scenes are obtained, and an unknown scene panoramic image containing all scene images is formed. The technology can be used for acquiring complete images of unknown scenes, provides priori information for accurate target positioning and multipath inhibition, and plays an important role in the fields of urban perception, disaster relief and the like.
Conventional unknown scene imaging techniques are typically based on MIMO radar or SAR to acquire echo data. However, in order to obtain accurate position information of the scene object, the above detection means needs accurate phase information and large signal bandwidth to be guaranteed, which leads to high system complexity and hardware cost. In addition, this approach uses echo signals, and when the scene environment is complex, the internal multipath signals will dominate, thereby affecting the imaging quality. Therefore, it is urgent to find a new imaging scheme.
In recent years, many domestic and foreign research institutions try to apply the medical computed tomography imaging theory (CT) based on X-rays to the microwave frequency band, and related theoretical and technical research works have also been carried out. Karanam et al realized three-dimensional unknown scene imaging based on Wi-Fi received signal strength values (RSSI) and TVAL3 algorithm according to the basic theory that electromagnetic waves attenuate differently in different media and different thicknesses (C.R. Karanam and Y. Mostoni, "3D Through-Wall Imaging with Unmanned Aerial Vehicles Using Wi-Fi," in 2017 16th ACM/IEEE International Conference on Information Processing in Sensor Networks (IPSN), april 2017, pp.131-142). Fhager A et al simulate and verify microwave time delay spectrum measurement based on linear frequency modulation signals by an FDTD method, and reconstruct a two-dimensional unknown object by adopting a transceiving split synchronous scanning mode (Fhager A, persson M.Comparison of two image reconstruction algorithms for microwave tomography [ J ]. Radio Science,2005,40 (3): 1-15.). However, while the above discussed solution enables imaging of unknown areas, objects, the transmit-receive split synchronous scanning solution is inefficient, which is prohibitive for imaging large scenes, and the imaging quality is rough. Therefore, how to improve the efficiency of radar to acquire the echo of the detection area and how to obtain the high-quality unknown scene image still needs a great deal of work to be verified.
Disclosure of Invention
Aiming at the defects of low receiving and transmitting synchronous scanning rate, poor imaging effect and the like in the prior unknown scene imaging technology, the invention provides a novel unknown scene imaging scheme based on a narrow-band narrow-beam double-base radar, which can effectively improve the efficiency when the inside of a 'perception' area is provided, and can obtain high-quality scene images. Firstly, a ground-air joint scanning mode based on a ground radar and an unmanned aerial vehicle is designed to acquire data of an unknown scene, and the mode has the advantages of high execution efficiency and strong environmental adaptability; then, establishing a connection between the received signal and the unknown scene by using a WKB approximation method; finally, the total variation minimization algebraic iterative algorithm (TV-MF-ART) under the median filtering provided by the invention is inverted to obtain a high-precision scene imaging result.
The technical scheme of the invention is that the three-dimensional unknown scene imaging method based on the bistatic radar comprises the following steps:
step 1: acquiring scene information
For unknown regionsScanning to make a narrow-beam radar emit narrow-band continuous wave signal outside of unknown scene, and on the other side of the scene N is mounted a The unmanned aerial vehicle with the receiving array elements moves according to a prescribed route, receives the transmission signals after penetrating through the unknown area, and sends out during the movement of the unmanned aerial vehicleThe transmitting antenna is guaranteed to face the corresponding receiving array element in the measuring time, and the attenuation of the received signal is guaranteed to be caused by the fact that direct waves penetrate through a scene;
let n p Indicating the position of the unmanned plane, n v Is the viewing angle; then n= (n a ,n p ,n v ) Represented as being located at n v N under view angle p Nth at position a The position vectors of the array elements are received; when n=n is completed a ×N p ×N v N at the time of measurement a Represents the total number of received array elements, N p Represents the number of unmanned aerial vehicle movements at a fixed viewing angle, N v Representing the number of views, the measurement matrix is expressed as:
P=[p 1 ,p 2 ,...,p N ] T (1)
wherein p is n Representing the received power at the n-position.
The measured value is the attenuation of the signal power, which can be different according to the size, the position and the dielectric constant of different dielectrics, and according to the Wentzel-Kramers-Brillouin approximation, the relation between the measured attenuation and the propagation path can be expressed as:
σ n ∝exp(j2πf c ∫ T→R α(r n )dr) (2)
wherein f c Represents the center frequency, sigma n For attenuation value, alpha n (r) is the attenuation rate of the electromagnetic wave at the position r, +. T→R The line integration between the receiving and transmitting array elements; dispersing the imaging area into M units, and recording an imaging matrix O; the value at each element depends on the rate of decay of the electromagnetic wave at that location, then the imaging matrix is represented as a set of different rates of decay, i.e., o= [ α (r) 1 ),α(r 2 ),...,α(r M )]Thus, the link between the measurement vector and the imaging vector is:
P=A·O+b (3)
wherein A is E R N×M For a mapping matrix, representing a mapping between the imaging vector and the measurement vector; when j is th The units being located at i th A (i, j) =1 for the secondary measurement, otherwise 0; b is the measurement error including the positioning error andenvironmental noise; thus, step 1 is completed to acquire unknown scene information;
step 2: imaging unknown scenes
step 2-1: algebraic iterative reconstruction
Regarding the underdetermined equation set formula (3) as N hyperplanes, firstly setting an initial solution, and orthogonally projecting the initial solution onto each hyperplane in sequence to realize iterative updating of the initial solution and approach to a real solution; the iterative equation is:
wherein λ is a convergence factor, which can be set to 1,O q Representing the imaging vector at the q-th iteration, A q,+ The q-th row vector, N, expressed as a mapping matrix ART For measuring the number of points, setting the initial imaging vector to be 0, and obtaining an initial imaging vector through iteration of the step;
step 2-2: performing positive constraint on the initial imaging vector obtained in the step 2-1;
setting the negative number in the initial imaging vector of the step 2-1 to 0; the expression is:
O=max(O,0) (5)
step 2-3: total variation minimization step
And (3) performing total variation minimization iteration on the imaging matrix constrained in the step (2-2), wherein a specific iteration equation is as follows:
wherein: alpha is an artificially set convergence factor, N TV For the number of iteration rounds, ΔO is the difference between the imaging matrices of step 2-1 and step 2-2, |·|| 2 Is matrix two norms, I I.I.I TV Ladder for imageThe gradient calculation formula of the three-dimensional image is as follows:
wherein: o (O) i,j,k For a three-dimensional imaging matrix, i, j and k are row and column high indexes, ρ is a small positive number, and denominator is prevented from being 0;
step 2-4: three-dimensional median filtering step
And converting the imaging vector with the minimized total variation into a three-dimensional matrix, and executing three-dimensional median filtering operation, wherein the specific expression is as follows:
wherein the method comprises the steps ofFor cyclic convolution, W is a sliding window, the window size depends on the number of imaging matrix elements; and obtaining a final scene imaging result after the step.
The invention provides a scene imaging scheme suitable for receiving and transmitting a split radar, and has the advantages of high scanning speed and high imaging precision. The unknown region is first scanned in multiple positions and angles based on the bistatic radar, so that the measured data can contain all information of the scene. The scanning scheme only records the attenuation value of the received signal, so that the scanning scheme is also suitable for a narrow-band radar, and the system cost can be effectively reduced. And then performing algebraic iterative reconstruction, positive constraint, total variation minimization constraint and median filtering operation on the measurement vector through a TV-MF-ART sparse reconstruction algorithm provided by the patent, and finally obtaining a high-precision three-dimensional scene image. Therefore, the invention has the advantages of high scanning speed, small calculated amount and high reconstruction precision.
Drawings
FIG. 1 is a schematic diagram of a bistatic radar scan of the present invention;
FIG. 2 is a block diagram of a reconstruction algorithm;
FIG. 3 is a schematic representation of three-dimensional median filtering;
FIG. 4 is a scene to be reconstructed;
FIG. 5 is an example of a bistatic radar scanning scenario;
FIG. 6 is a graph showing the result of a conventional ART algorithm reconstruction;
FIG. 7 is a graph showing the result of the reconstruction algorithm proposed by the present patent;
fig. 8 is a comparison of measurement curves under RADON transformation.
Detailed Description
The following describes the steps of the invention in connection with a simulation.
The building is shown in fig. 4, the unknown scene area is 3m×3m×1m. Dividing the region into grid cells of 0.01mX0.01mX0.01m, that is to say the unknown region shares 9X 10 6 A unit. And a foundation radar and an unmanned aerial vehicle are arranged outside the area to scan the area, the signal emitted by the foundation radar is a sine wave signal of 2Ghz, and the unmanned aerial vehicle is provided with a linear array of 100 equally-spaced array elements and is used for receiving the signal after a transmission scene and recording the attenuation value of power.
Step 1: and enabling the unmanned aerial vehicle to move at the other side of the scene, and recording a signal attenuation value once when each receiving array element moves at an interval of 0.01m, wherein the recording times are 300 times. And finishing one visual angle measurement after recording. The measured values recorded in this step include the attenuation of the direct path, the multipath component when penetrating the wall, and the ambient noise. In order to restrain the influence of multipath phenomenon on the model, the narrow beam antenna adopted by the method can ensure that the received signal is dominated by direct waves while increasing the transmitting power.
Step 2: in order that the scene information obtained is not redundant, i.e. the angle of opening at the time of measurement is sufficiently large. Thus, the measurement of the angle of multiple views is accomplished. The selection of different viewing angles can affect the imaging result. The simulation visual angles are 4, namely 0 degree, 45 degree, 90 degree and 135 degree respectively. After this round of measurement is completed, 1200 measurement points are obtained in total and are marked as P. The position of each measuring point is recorded, and a mapping matrix A is calculated according to the positions, and the dimension is 1200 multiplied by 9000000.
Step 3: performing algebraic iterative reconstruction step, the initial imaging vector being set toAll 0, iteration times are 1200, and an imaging matrix O is obtained through iteration according to a formula (4) ART 。
Step 4: performing positive constraint (5) to obtain O POS And calculating the difference delta O of the imaging matrixes in the step 3 and the step 4.
Step 5: and constraining the total variation according to the formula (6) and the formula (7), wherein the iteration times are 20, and the total energy of the image is reduced by a gradient descent method. The obtained result is recorded as O MF 。
Step 6: and executing a median filtering operation formula (8) to further smooth the image.
Step 7: if the image does not converge (convergence determination indicates that the total value of Δo is smaller than a certain threshold value), the process continues to step 3-6. And obtaining a final unknown scene image after convergence.
Those of ordinary skill in the art will recognize that the embodiments described herein are for the purpose of aiding the reader in understanding the principles of the present invention and should be understood that the scope of the invention is not limited to such specific statements and embodiments. Various modifications and variations of the present invention will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the scope of the claims of the present invention.
Claims (1)
1. A three-dimensional unknown scene imaging method based on a bistatic radar, the method comprising:
step 1: acquiring scene information
For unknown regionsScanning to make a narrow-beam radar emit narrow-band continuous wave signal outside of unknown scene, and on the other side of the scene N is mounted a The unmanned aerial vehicle with the receiving array elements moves according to a prescribed route, and receives the transmission signals after penetrating through an unknown area, and during the movement of the unmanned aerial vehicle, the transmitting antenna is ensured to face the corresponding receiving array elements in the measurement time, so that the attenuation of the receiving signals is caused by the penetration of direct waves;
let n p Indicating the position of the unmanned plane, n v Is the viewing angle; then n= (n a ,n p ,n v ) Represented as being located at n v N under view angle p Nth at position a The position vectors of the array elements are received; when n=n is completed a ×N p ×N v N at the time of measurement a Represents the total number of received array elements, N p Represents the number of unmanned aerial vehicle movements at a fixed viewing angle, N v Representing the number of views, the measurement matrix is expressed as:
P=[p 1 ,p 2 ,…p n ...,p N ] T (1)
wherein p is n Representing the received power at the n-position;
the measured value is the attenuation of the signal power, which varies with the size, position and dielectric constant of different dielectrics, and the relationship between the measured attenuation and the propagation path is expressed as follows according to the Wentzel-Kramers-Brillouin approximation:
σ n ∝exp(j2πf c ∫ T→R α(r n )dr) (2)
wherein f c Represents the center frequency, sigma n For attenuation values, α (r n ) For electromagnetic waves at position r n Attenuation Rate at ≡ T→R The line integration between the receiving and transmitting array elements; dispersing the imaging area into M units, and recording an imaging matrix O; the value at each element depends on the rate of decay of the electromagnetic wave at that location, then the imaging matrix is represented as a set of different rates of decay, i.e., o= [ α (r) 1 ),α(r 2 ),...,α(r M )]Thus, the link between the measurement vector and the imaging vector is:
P=A·O+b (3)
wherein A is E R N×M For a mapping matrix, representing a mapping between the imaging vector and the measurement vector; when j is th The units being located at i th A (i, j) =1 for the secondary measurement, otherwise 0; b is measurement error, including positioning error and ambient noise; thus, step 1 is completed to acquire unknown scene information;
step 2: imaging unknown scenes
Step 1 is executed to obtain a measurement vector containing unknown scene information; because the measured data is far less than the imaging units, imaging the scene under sparse sampling data according to the measurement vector;
step 2-1: algebraic iterative reconstruction
Regarding the underdetermined equation set formula (3) as N hyperplanes, firstly setting an initial solution, and orthogonally projecting the initial solution onto each hyperplane in sequence to realize iterative updating of the initial solution and approach to a real solution; the iterative equation is:
wherein lambda is a convergence factor, O q Representing the imaging vector at the q-th iteration, A q,+ The q-th row vector, N, expressed as a mapping matrix ART For measuring the number of points, setting the initial imaging vector to be 0, and obtaining an initial imaging vector through iteration of the step;
step 2-2: performing positive constraint on the initial imaging vector obtained in the step 2-1;
setting the negative number in the initial imaging vector of the step 2-1 to 0; the expression is:
O=max(O,0) (5)
step 2-3: total variation minimization step
And (3) performing total variation minimization iteration on the imaging matrix constrained in the step (2-2), wherein a specific iteration equation is as follows:
wherein: alpha is an artificially set convergence factor, N TV For the number of iteration rounds, ΔO is the difference between the imaging matrices of step 2-1 and step 2-2, |·|| 2 Is matrix two norms, I I.I.I TV For the gradient of the image, the gradient calculation formula of the three-dimensional image is as follows:
wherein: o (O) i,j,k For a three-dimensional imaging matrix, i, j and k are row and column high indexes, ρ is a small positive number, and denominator is prevented from being 0;
step 2-4: three-dimensional median filtering step
And converting the imaging vector with the minimized total variation into a three-dimensional matrix, and executing three-dimensional median filtering operation, wherein the specific expression is as follows:
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