CN114935736A - Moving platform distributed coherent radar grating lobe suppression method and device and computer equipment - Google Patents
Moving platform distributed coherent radar grating lobe suppression method and device and computer equipment Download PDFInfo
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Abstract
The application relates to a method and a device for suppressing grating lobes of a distributed coherent radar of a moving platform and computer equipment. Designing a motion mode for nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent; constructing an initial accumulation beam forming model according to the node distance and designing a model to optimize the accumulation time, constructing and solving an accumulation beam forming optimization model according to the model optimized accumulation time and the beam weight vector to obtain a candidate beam weight matrix; obtaining a node distance measurement value and a relative angle between a node and a reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector, so as to obtain an optimized accumulated beam for forming grating lobe suppression. The invention can improve the non-fuzzy measurement effect and ensure the real-time performance.
Description
Technical Field
The application relates to the technical field of wireless communication, in particular to a method and a device for restraining grating lobes of a distributed coherent radar of a moving platform and computer equipment.
Background
The distributed radar has multiple working modes, has outstanding advantages when the distributed radar performs fusion work at a signal level, can obtain the same performance as a phased array antenna with the same aperture theoretically, and can be called as a distributed coherent radar at the moment. Because different node radars are in different working platforms, and considering that different platforms have independent carriers, the antenna spacing of the distributed coherent radar often far exceeds half wavelength, and the direct detection without processing can bring serious grating lobe problems.
The existing grating lobe suppression means can be summarized into a directional diagram comprehensive problem which is essentially a mathematical optimization problem and can be roughly divided into two types, one type is a convex optimization method and an improvement method thereof, wherein an iterative Fourier transform algorithm improves the calculation efficiency of the convex optimization problem, the number of array elements cannot be accurately controlled by a thin-cloth linear array with a pencil beam directional diagram, and the method for searching the optimal position through scaling iteration of the analog position of the array elements has fewer addable constraint conditions; the other is a global optimization approach, which tends to require a large number of array elements. Although these methods work well in certain situations where the main objective is to reduce the number of arrays, they are not suitable for distributed coherent radars, because for distributed coherent radars all adjacent nodes are spaced more than half a wavelength apart and it is difficult to achieve a large number of nodes under the prior art conditions, and the number of nodes reported in the literature is at most 2.
Therefore, researchers propose to perform grating lobe suppression by using the limited number of node motion compensation nodes, and analyze the minimum value of the node distance change required for suppressing the grating lobe while ensuring the width of the main lobe under an ideal condition, but the method does not consider the problem that the nodes have motion errors under an actual condition, and simultaneously adopts a uniform weighting mode to directly accumulate and form the grating lobe which can be suppressed, but has higher side lobes.
Disclosure of Invention
In view of the above, the present invention provides a method, an apparatus and a computer device for grating lobe suppression of a distributed coherent radar with a moving platform, so as to ensure low level side lobes during grating lobe suppression.
A dynamic platform distributed coherent radar grating lobe suppression method comprises the following steps:
designing a motion mode for nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent;
constructing an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the adjacent node distance;
designing a model optimization accumulation moment according to the initial accumulation beam forming model, constructing and solving an accumulation beam forming optimization model according to the model optimization accumulation moment and the beam weight vector, and obtaining a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
acquiring a node distance measurement value and a relative angle between a node and the reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and obtaining the optimized accumulated beam according to the optimized beam weight vector and performing grating lobe suppression.
In one embodiment, optimizing the number of accumulation instants according to the initial accumulation beamforming model design model includes:
obtaining a combined constraint model of accumulation time number and interval increment and an independent constraint model of the interval increment according to the initial accumulation beam forming model;
solving the combined constraint model and the independent constraint model to obtain the optimal accumulation time number and the optimal interval increment;
and optimizing the number of accumulated time according to the optimal number of accumulated time and the optimal spacing increment design model.
In one embodiment, the constructing the initial cumulative beam forming model according to the node distance includes:
and constructing an array manifold vector according to the node distance:
wherein the content of the first and second substances,to representThe array manifold vector of the time of day,the antenna directional gain of the node is represented,which represents the direction of the incoming wave,expressed in terms of wavelengthThe distance between adjacent nodes at a time is,representing the number of nodes of the distributed coherent radar.
And constructing an initial accumulation beam forming model according to the array manifold vector:
wherein the content of the first and second substances,which represents the initial cumulative beam-forming,indicating the distance between adjacent nodes at the initial time,indicating the increment of the pitch between adjacent time instants,the initial array factor is represented as a function of,representing a dynamic factor.
In one embodiment, obtaining a joint constraint model of accumulation time number and spacing increment according to the initial accumulation beamforming model includes:
obtaining a combined constraint model of accumulation time number and interval increment according to the dynamic factor and the initial array factor of the initial accumulation beam forming model:
wherein the content of the first and second substances,the position of the first side lobe of the dynamic factor,the position of the first grating lobe of the initial array factor.
In one embodiment, obtaining the independent constraint model of the distance increment according to the initial cumulative beamforming model includes:
and constructing an independent constraint model of the spacing increment according to the dynamic factors of the initial cumulative beam forming model and the antenna directional gain:
wherein the content of the first and second substances,the main lobe width representing the antenna directional gain.
In one embodiment, constructing a cumulative beamforming optimization model according to the model-optimized cumulative number of time instants and the beam weight vector includes:
and constructing an accumulation beam forming optimization model according to the model optimization accumulation time number and the beam weight vector, wherein the accumulation beam forming optimization model comprises the following steps:
wherein the content of the first and second substances,indicating the ideal single-pass beam-forming,to representThe unit matrix of (a) is,a region of the main lobe is represented,a side lobe region is shown and,a set of discrete angles of interest is represented,the representation model optimizes the number of integration instants,is shown inAt the first momentThe beam weight of each node.
In one embodiment, optimizing the number of integration moments according to the optimal number of integration moments and the optimal pitch increment design model includes:
designing a model to optimize the pitch increment according to the optimal pitch increment:
wherein, the first and the second end of the pipe are connected with each other,the model-optimized coefficients are represented by,,the model is represented as an optimized pitch increment,representing an optimal pitch increment;
obtaining the model optimized accumulation time number according to the model optimized interval increment and the optimal accumulation time number:
wherein the content of the first and second substances,the number of the best accumulated time instants is indicated,the representation model optimizes the cumulative number of moments.
In one embodiment, the processing the intermediate beam weight vector according to the relative angle and the inter-node distance measurement value to obtain an optimized beam weight vector includes:
processing the intermediate beam weight according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector as follows:
wherein the content of the first and second substances,representThe optimized beam weight vector for a time instant,to representThe intermediate beam weight vector for a time instant,is shown inAt the first momentThe relative angle of the individual nodes to the reference node,is shown inAt the first momentThe node distance measurement of each node from the reference node.
A moving platform distributed coherent radar grating lobe suppression apparatus, the apparatus comprising:
the motion mode design module is used for designing a motion mode for the nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent;
the initial model building module is used for building an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the adjacent node distance;
the optimization model solving module is used for optimizing the accumulation time number according to the initial accumulation beam forming model design model, and constructing and solving an accumulation beam forming optimization model according to the model optimized accumulation time number and the beam weight vector to obtain a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
the weight vector optimization module is used for acquiring a node distance measurement value and a relative angle between a node and the reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and the grating lobe suppression module is used for obtaining the optimized accumulated beam according to the optimized beam weight vector and performing grating lobe suppression.
A computer device comprising a memory storing a computer program and a processor implementing the following steps when the computer program is executed:
designing a motion mode for nodes of the distributed coherent radar of the moving platform, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent;
constructing an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the adjacent node distance;
designing a model optimization accumulation time number according to the initial accumulation beam forming model, constructing and solving an accumulation beam forming optimization model according to the model optimization accumulation time number and a beam weight vector, and obtaining a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
acquiring a node distance measurement value and a relative angle between a node and the reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and obtaining the optimized accumulated beam according to the optimized beam weight vector and performing grating lobe suppression.
According to the method, the device and the computer equipment for restraining the grating lobes of the distributed coherent radar of the moving platform, firstly, a motion mode is designed for the nodes of the distributed coherent radar of the moving platform, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent; then, an initial accumulation beam forming model is constructed according to the node distance, wherein the node distance is the distance between a node and a preset reference node; then, designing a model according to the initial cumulative beam forming model to optimize the cumulative time number, and constructing and solving a cumulative beam forming optimization model according to the model optimized cumulative time number and the beam weight vector to obtain a candidate beam weight matrix, wherein the candidate beam weight matrix comprises a plurality of candidate beam weight vectors corresponding to the model optimized cumulative time; acquiring a node spacing measurement value and a relative angle between a node and a reference node, taking a candidate beam weight vector corresponding to a node spacing closest to the node spacing measurement value as a middle beam weight vector, processing the middle beam weight vector according to the relative angle and the node spacing measurement value to obtain an optimized beam weight vector, and obtaining an optimized accumulated beam according to the optimized beam weight vector to perform grating lobe suppression. Due to the design of the first-step motion mode, the node distance can be directly obtained through the number difference between the node and a preset reference node and the distance between adjacent nodes; it can be known that the variation value of the adjacent node spacing is reduced along with the increase of the accumulation time within a certain period of time, considering that the actual position of each node is unknown, the model is designed according to the initial accumulation beam forming model to optimize the accumulation time, so that the accumulation beam forming optimization model is solved by using the smaller variation value of the adjacent node spacing, namely the smaller space sampling spacing, a plurality of candidate beam weight vectors under the model optimization accumulation time can be correspondingly obtained, then the node position is measured in real time in the actual movement process of the node, a proper intermediate beam weight vector is selected from the candidate beam weight vectors according to the nearest neighbor criterion, the intermediate beam weight vector is subjected to motion compensation according to the relative angle and the node spacing measurement value to obtain the final optimized beam weight vector, and thus the dynamic weighting replaces the fixed weighting and finally achieves the grating lobe suppression, the method has the advantages that the purpose of reducing side lobes is achieved, in addition, the calculation amount of a mode for acquiring the weight vector of the middle wave beam is small, and comprehensively, the method can improve the non-fuzzy measurement effect of the distributed coherent radar of the moving platform and ensure the real-time performance of measurement.
Drawings
FIG. 1 is a schematic flow chart of a dynamic platform distributed coherent radar grating lobe suppression method in one embodiment;
FIG. 2 is a diagram of nearest neighbor criteria in one embodiment;
FIG. 3 is a diagram illustrating an actual geometry of an actual distributed coherent radar in one embodiment;
FIG. 4 is a graph comparing actual motion and ideal motion of a node 2 provided in one embodiment;
FIG. 5 is a diagram illustrating simulation results of cumulative beam forming of distributed coherent radar of the mobile platform according to an embodiment of the present invention, (2));
FIG. 6 is a block diagramIn the embodiment, a simulation result diagram of cumulative beam forming of the distributed coherent radar of the moving platform is shown (,);
FIG. 7 is a block diagram of a distributed coherent radar grating lobe suppression device of a moving platform according to an embodiment;
FIG. 8 is a diagram illustrating an internal structure of a computer device according to an embodiment.
Detailed Description
In order to make the objects, technical solutions and advantages of the present application more apparent, the present application is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of and not restrictive on the broad application.
In one embodiment, as shown in fig. 1, a method for suppressing grating lobes of a distributed coherent radar with a moving platform is provided, which includes the following steps:
102, designing a motion mode for nodes of the moving platform distributed coherent radar, so that all the nodes are located on a straight line under an ideal condition and the distances between adjacent nodes at the same time are kept consistent.
Assuming that the number of nodes of the dynamic platform distributed coherent radar is 3, the designed motion mode is shown in table 1:
TABLE 1 node motion patterns
It can be seen that, in the motion mode shown in table 1, the difference values of the initial positions of the adjacent nodes are 5, the difference values of the speeds of the adjacent nodes are 10, the motion model is a constant speed, and it can be considered that the nodes only do uniform linear motion in the X direction in the X-Y two-dimensional coordinate system, and then the distances between the adjacent nodes at the same time are kept consistent:
Taking the node 1 as a reference node:
it can be known that, as long as the difference values of the initial positions of the adjacent nodes are consistent, the difference values of the speeds of the adjacent nodes are consistent, and all the nodes make uniform linear motion in the same direction, all the nodes are located on a straight line under an ideal condition and the distance between the adjacent nodes at the same time is kept consistent:
therefore, the movement pattern of the node is not limited to the data shown in table 1, and can be designed according to the actual situation under the condition of meeting the requirement.
And 104, constructing an initial accumulation beam forming model according to the node distance.
The node distance is a distance between a node and a preset reference node, and due to the design of the motion mode in step 102, the node distance can be directly calculated by the difference between the serial numbers of the node and the preset reference node and the distance between adjacent nodes at corresponding moments.
The contradiction between the prior art and the grating lobe suppression of the distributed coherent radar is that the number of nodes is very limited while the distributed coherent radar does not have the distance between adjacent nodes which is smaller than or close to half wavelength, so that a beam without the grating lobe is difficult to form by single emission.
And 106, designing a model according to the initial cumulative beam forming model to optimize the cumulative time number, and constructing and solving a cumulative beam forming optimization model according to the model optimized cumulative time number and the beam weight vector to obtain a candidate beam weight matrix.
The candidate beam weight matrix comprises a plurality of candidate beam weight vectors corresponding to the model optimization accumulation time instant.
As shown in step 102, the distances between adjacent nodes at the same time are consistent, but as time goes by, the distances between adjacent nodes also change:
in the actual measurement process, it is not practical to select too short sampling interval time, but a smaller sampling interval time can be set when the model is optimized, and the change value of the distance between the adjacent nodes is smaller. Because the variation value of the adjacent node distance is reduced along with the increase of the accumulation time within a certain period of time, a smaller one is selectedNamely, a larger model is designed to optimize the accumulated time number. Because the sampling interval selected in the actual measurement process is larger than the sampling interval selected when the model is optimized and the corresponding accumulation time is smaller than the model optimized accumulation time, the candidate beam weight matrix can be known to cover the beam weight vector at each time in the actual measurement process.
And step 108, acquiring the node distance measurement value and the relative angle between the node and the reference node, taking the candidate beam weight vector corresponding to the node distance closest to the node distance measurement value as an intermediate beam weight vector, and processing the intermediate beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector.
In an actual situation, the movement of the node has a control error, that is, the distances between adjacent nodes in the actual situation may not be consistent, and then after the distance between nodes is calculated according to the difference between the numbers of the node and the preset reference node and the distance between adjacent nodes at the corresponding moment, the distance error caused by the movement of the node needs to be considered; in practical cases, all nodes may not always be located on a straight line, i.e. ideally, the relative angle is 0, and the true relative angle between the node and the reference node, i.e. the relative angle error, needs to be considered.
According to the content of step 106, since the measurement values of the node distance and the relative angle cannot be obtained in advance, the invention proposes to use smaller values firstAnd (5) refining, constructing and solving an accumulated beam forming optimization model to obtain a candidate beam weight matrix.
As shown in fig. 2, a diagram of the nearest neighbor criterion is provided. In FIG. 2Indicates that node n is atThe sample points at the time and reference node's distance measurement, and closest to the distance measurement of node n, are the sample points in the 1 st box in figure 2, and, similarly,indicates that node n is atTime of dayAnd selecting a candidate beam weight vector corresponding to the sampling point closest to the distance measurement value as an intermediate beam weight vector through a nearest neighbor criterion, namely dynamically weighting the node according to a measurement result and the nearest neighbor criterion, wherein the calculation amount of the obtained intermediate beam weight vector is smaller, and the requirement of real-time property can be better met. In addition, the sampling point and the measured value corresponding to the intermediate beam weight vector can be known to have deviation, and in order to further improve the grating lobe suppression effect, the optimized beam weight vector is obtained after the intermediate beam weight vector is further compensated according to the relative angle and the measured value of the node distance.
And step 110, obtaining the optimized accumulated beam forming according to the optimized beam weight vector and performing grating lobe suppression.
In the method for suppressing the grating lobe of the moving platform distributed coherent radar, firstly, a motion mode is designed for the nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent; then, an initial accumulation beam forming model is constructed according to the node distance, wherein the node distance is the distance between a node and a preset reference node; then, designing a model according to the initial cumulative beam forming model to optimize the cumulative time number, and constructing and solving a cumulative beam forming optimization model according to the model optimized cumulative time number and the beam weight vector to obtain a candidate beam weight matrix, wherein the candidate beam weight matrix comprises a plurality of candidate beam weight vectors corresponding to the model optimized cumulative time; acquiring a node spacing measurement value and a relative angle between a node and a reference node, taking a candidate beam weight vector corresponding to a node spacing closest to the node spacing measurement value as a middle beam weight vector, processing the middle beam weight vector according to the relative angle and the node spacing measurement value to obtain an optimized beam weight vector, and obtaining an optimized accumulated beam according to the optimized beam weight vector to perform grating lobe suppression. Due to the design of the first-step motion mode, the node distance can be directly obtained through the number difference between the node and a preset reference node and the distance between adjacent nodes; it can be known that the variation value of the adjacent node spacing is reduced along with the increase of the accumulation time within a certain period of time, considering that the actual position of each node is unknown, the model is designed according to the initial accumulation beam forming model to optimize the accumulation time, so that the accumulation beam forming optimization model is solved by using the smaller variation value of the adjacent node spacing, namely the smaller space sampling spacing, a plurality of candidate beam weight vectors under the model optimization accumulation time can be correspondingly obtained, then the node position is measured in real time in the actual movement process of the node, a proper intermediate beam weight vector is selected from the candidate beam weight vectors according to the nearest neighbor criterion, the intermediate beam weight vector is subjected to motion compensation according to the relative angle and the node spacing measurement value to obtain the final optimized beam weight vector, and thus the dynamic weighting replaces the fixed weighting and finally achieves the grating lobe suppression, the method has the advantages that the purpose of reducing side lobes is achieved, in addition, the calculation amount of a mode for acquiring the weight vector of the middle wave beam is small, and comprehensively, the method can improve the non-fuzzy measurement effect of the distributed coherent radar of the moving platform and ensure the real-time performance of measurement.
In one embodiment, constructing an initial cumulative beamforming model from node spacings comprises:
consider a two-dimensional scene containingThe dynamic platform distributed coherent radar of the uniformly distributed nodes is characterized in that because each node radar is in motion, a time-varying form of an array manifold vector is given firstly, namely the array manifold vector is constructed according to the node distance:
wherein, the first and the second end of the pipe are connected with each other,to representThe array manifold vector of the time of day,the antenna directional gain of the node is represented,which is representative of the direction of the incoming wave,expressed in terms of wavelengthThe distance between adjacent nodes at a time is,representing the number of nodes of the distributed coherent radar.
Constructing an initial cumulative beam forming model according to the array manifold vector:
wherein the content of the first and second substances,which represents the initial cumulative beam-forming,indicating the distance between adjacent nodes at the initial time,indicating pitch increments of adjacent time instants, i.e.In the range of variation of (a) or (b),the initial array factor is represented by a matrix index,representing a dynamic factor.
To reduce the computational complexity, the design node motions are all linear motions with uniform velocity, as described in step 102, and thusAnd time of dayRegardless, as can be seen from the above equation, the single node antenna directional gain is removedBesides, the air conditioner is provided with a fan,the module value of (a) is mainly influenced by two terms, one term is an initial matrix factor, and the other term is an accumulative influence caused by motion, namely a dynamic factor.
In one embodiment, optimizing the number of accumulation instants according to an initial accumulation beamforming model design model comprises:
a. and solving the joint constraint model and the independent constraint model according to the initial accumulation beam forming model to obtain the optimal accumulation time number and the optimal spacing increment.
In order to suppress the grating lobes,the first side lobe should be located less thanThe position of the first grating lobe, whereinApproximately at the first side-lobe ofThe joint constraint model of the cumulative time number and the spacing increment is:
it is considered that in the case of a small angle,the range of node pitch variation is obtained, i.e. the pitch increment should。
Taking the maximum value asTo avoidTo be receivedA plurality of peak points appear in the main lobe of the single-node directional diagram,there are also constraints, assumptionsHas a main lobe width ofThen, thenShould satisfy
I.e., the independent constraint model of the pitch increment is:
and solving the joint constraint model and the independent constraint model to obtain the optimal accumulation time number and the optimal interval increment.
b. And optimizing the accumulation time number according to the optimal accumulation time number and the optimal spacing increment design model.
Designing a model to optimize the pitch increment according to the optimal pitch increment:
wherein the content of the first and second substances,the model-optimized coefficients are represented by,,the model is represented as an optimized pitch increment,the optimum pitch increment is indicated.
Obtaining the model optimized accumulation time number according to the model optimized interval increment and the optimal accumulation time number:
wherein the content of the first and second substances,the number of the best accumulated time instants is indicated,the representation model optimizes the number of integration instants.
In one embodiment, constructing a cumulative beamforming optimization model based on the model-optimized cumulative number of time instants and the beam weight vector comprises:
the beam weight vector is designed to concentrate the received energy in the desired direction, assuming that the distributed coherent radar transmits narrowband signals and the array operates in far field conditions, the single transmit beam pattern can be expressed as:。
Because the node spacing is much larger thanAt this time, the transmitting beam pattern has serious grating lobes, and the distance between two adjacent grating lobes is recorded asIt can be expressed as follows:
according to the formula, the compound has the advantages of,can influence the grating lobe position, which further decorrelates the grating lobe position spatially, and the cumulative transmit beam pattern can be written as
In the formulaRepresenting the number of accumulations. At this time, discrete angle ranges of interest are considered,The selection of (c) can be converted into the following optimization problem:
In the formulaAndrespectively represent a main lobe region and a side lobe region, and. The optimization problem can be further simplified as:
wherein the content of the first and second substances,indicating the ideal single-pass beam-forming,a region of the main lobe is represented,the side lobe region is represented as a region of side lobes,a set of discrete angles of interest is represented,the representation model optimizes the number of accumulated time instants,is shown inAt the first momentThe beam weight of each node.
In one embodiment, it can be known that solving the joint constraint model and the independent constraint model described above can result in the optimal cumulative time number and the optimal spacing increment, but in practical cases, the motion of the node has control errors, and the actual array manifold can be expressed as
WhereinWhich represents the true pitch of the nodes and,indicating the distance error due to node motion,finger nodenAnd the relative angle error between the node 1 (reference node) is 0 in an ideal state, and a schematic diagram of the actual geometric configuration of the actual distributed coherent radar is shown in fig. 3.
Note the bookAndthe measurement results are respectivelyAndthe measured variances are respectivelyAndhere, assuming that the measurement accuracy is sufficiently high, the actual cumulative beam can be written as:
due to failure to obtain in advanceAndand therefore cannot directly build the cumulative beamforming optimization model described above. Therefore, the optimization problem is established by fine refinement at small intervals, then the coefficient selection is carried out according to the nearest neighbor criterion after the measurement result of each moment is obtained, and the acquisition of the dynamic weighting coefficient is realized, namely, the order is madeTaking a smaller value, it is generally preferableAn optimization problem is established as follows, and an optimization result is obtained by a sequence quadratic programming method:
then obtaining the measurement resultAndthen selects the nearest in real timeIs/are as followsAt the same time toCompensating the phase error to obtain an optimized beam weight vector of each node at each moment:
it should be understood that, although the steps in the flowchart of fig. 1 are shown in order as indicated by the arrows, the steps are not necessarily performed in order as indicated by the arrows. The steps are not limited to being performed in the exact order illustrated and, unless explicitly stated herein, may be performed in other orders. Moreover, at least a portion of the steps in fig. 1 may include multiple sub-steps or multiple stages that are not necessarily performed at the same time, but may be performed at different times, and the order of performance of the sub-steps or stages is not necessarily sequential, but may be performed in turn or alternately with other steps or at least a portion of the sub-steps or stages of other steps.
The present invention has been verified by simulation. The design simulation parameters are shown in table 2:
TABLE 2 simulation parameters
As shown in fig. 4, a comparison graph of the actual movement and the ideal movement of the node 2 is provided, and it can be seen that the actual movement of the node has an error in the distance and the angle from the ideal movement.
As shown in fig. 5, a simulation result diagram of the cumulative beam forming of the distributed coherent radar of the mobile platform is provided ()。
As shown in fig. 6, a simulation result diagram of the cumulative beam forming of the distributed coherent radar of the mobile platform is provided (,)。
Under the condition of no node motion error, the highest sidelobe level is-13.79 dB, the highest sidelobe level of the uniformly weighted cumulative beam is about-6.99 dB, and the highest sidelobe level can be suppressed to-10.21 dB and-12.23 dB through the method and the device respectively corresponding to the graph 6,And FIG. 5. Simulation results show the effectiveness of the invention in suppressing side lobes, and the method of the invention is universal and can be easily expanded when the number of nodes is increased.
In one embodiment, as shown in fig. 7, there is provided a moving platform distributed coherent radar grating lobe suppression device, including: the device comprises a motion mode design module, an initial model construction module, an optimization model solving module, a weight vector optimization module and a grating lobe suppression module, wherein:
the motion mode design module is used for designing a motion mode for the nodes of the distributed coherent radar of the moving platform, so that all the nodes are positioned on a straight line under an ideal condition and the distances between the adjacent nodes at the same moment are kept consistent;
the initial model building module is used for building an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the distance between adjacent nodes;
the optimization model solving module is used for optimizing the accumulation time number according to the initial accumulation beam forming model design model, building and solving an accumulation beam forming optimization model according to the model optimization accumulation time number and the beam weight vector to obtain a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
the weight vector optimization module is used for acquiring a node distance measurement value and a relative angle between a node and a reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and the grating lobe suppression module is used for obtaining the optimized accumulated beam according to the optimized beam weight vector and performing grating lobe suppression.
In one embodiment, the initial model building module is further configured to build the array manifold vector according to the pitch of the nodes:
wherein the content of the first and second substances,to representThe array manifold vector of the time of day,the antenna directional gain of the node is represented,which represents the direction of the incoming wave,expressed in terms of wavelengthThe distance between adjacent nodes at a time is,representing the number of nodes of the distributed coherent radar.
And constructing an initial accumulation beam forming model according to the array manifold vector:
wherein the content of the first and second substances,which represents the initial cumulative beam-forming,indicating the distance between adjacent nodes at the initial time,indicating the increment of the pitch between adjacent time instants,the initial array factor is represented by a matrix index,representing a dynamic factor.
In one embodiment, the optimization model solving module is further configured to obtain a joint constraint model of the accumulation time number and the spacing increment and an independent constraint model of the spacing increment according to the initial accumulation beamforming model;
solving the joint constraint model and the independent constraint model to obtain the optimal accumulation time number and the optimal interval increment;
and optimizing the accumulation time number according to the optimal accumulation time number and the optimal spacing increment design model.
In one embodiment, the optimization model solving module is further configured to design the model optimized pitch increment according to the optimal pitch increment:
wherein the content of the first and second substances,the model-optimized coefficients are represented by,,the model is represented as an optimized pitch increment,representing an optimal pitch increment;
obtaining the model optimized accumulation time number according to the model optimized interval increment and the optimal accumulation time number:
wherein the content of the first and second substances,the number of the best accumulated time instants is indicated,the representation model optimizes the number of integration instants.
In one embodiment, the optimization model solving module is further configured to obtain a joint constraint model of the accumulation time number and the spacing increment according to the dynamic factor and the initial array factor of the initial accumulation beamforming model:
wherein the content of the first and second substances,the position of the first side lobe of the dynamic factor,the position of the first grating lobe being the initial array factor;
constructing an independent constraint model of the spacing increment according to the dynamic factors and the antenna directional gain of the initial accumulation beam forming model:
wherein the content of the first and second substances,the main lobe width representing the antenna directional gain.
In one embodiment, the optimization model solving module is further configured to construct an accumulated beamforming optimization model according to the model optimized accumulated time number and the beam weight vector as follows:
wherein the content of the first and second substances,representing an ideal single-pass beam-forming,to representThe unit matrix of (a) is,a region of the main lobe is represented,the side lobe region is represented as a region of side lobes,a set of discrete angles of interest is represented,the representation model optimizes the number of accumulated time instants,is shown inAt the first momentThe beam weight of each node.
In one embodiment, the weight vector optimization module is further configured to process the intermediate beam weights according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector:
wherein the content of the first and second substances,to representThe optimized beam weight vector for a time instant,to representThe intermediate beam weight vector for a time instant,is shown inAt the first momentThe relative angle of the individual nodes to the reference node,is shown inAt the first momentThe node distance measurement of each node from the reference node.
For specific limitations of the moving platform distributed coherent radar grating lobe suppression device, reference may be made to the above limitations of the moving platform distributed coherent radar grating lobe suppression method, and details are not described here. All modules in the dynamic platform distributed coherent radar grating lobe suppression device can be wholly or partially realized through software, hardware and a combination of the software and the hardware. The modules can be embedded in a hardware form or independent of a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
In one embodiment, a computer device is provided, which may be a server, and its internal structure diagram may be as shown in fig. 8. The computer device includes a processor, a memory, a network interface, and a database connected by a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program, and a database. The internal memory provides an environment for the operating system and the computer program to run on the non-volatile storage medium. The database of the computer device is used for storing radar node position and angle data. The network interface of the computer device is used for communicating with an external terminal through a network connection. The computer program is executed by a processor to implement a moving platform distributed coherent radar grating lobe suppression method.
Those skilled in the art will appreciate that the architecture shown in fig. 8 is merely a block diagram of some of the structures associated with the disclosed aspects and is not intended to limit the computing devices to which the disclosed aspects apply, as particular computing devices may include more or less components than those shown, or may combine certain components, or have a different arrangement of components.
In an embodiment, a computer device is provided, comprising a memory storing a computer program and a processor implementing the steps of the method in the above embodiments when the processor executes the computer program.
In an embodiment, a computer-readable storage medium is provided, on which a computer program is stored, which computer program, when being executed by a processor, carries out the steps of the method in the above-mentioned embodiments.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by hardware instructions of a computer program, which can be stored in a non-volatile computer-readable storage medium, and when executed, can include the processes of the embodiments of the methods described above. Any reference to memory, storage, database, or other medium used in the embodiments provided herein may include non-volatile and/or volatile memory, among others. Non-volatile memory can include read-only memory (ROM), Programmable ROM (PROM), Electrically Programmable ROM (EPROM), Electrically Erasable Programmable ROM (EEPROM), or flash memory. Volatile memory can include Random Access Memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in a variety of forms such as Static RAM (SRAM), Dynamic RAM (DRAM), Synchronous DRAM (SDRAM), Double Data Rate SDRAM (DDRSDRAM), Enhanced SDRAM (ESDRAM), Synchronous Link DRAM (SLDRAM), Rambus Direct RAM (RDRAM), direct bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM).
The technical features of the above embodiments can be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the above embodiments are not described, but should be considered as the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the scope of the invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present patent shall be subject to the appended claims.
Claims (10)
1. A method for suppressing grating lobes of a distributed coherent radar of a moving platform is characterized by comprising the following steps:
designing a motion mode for nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent;
constructing an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the adjacent node distance;
designing a model optimization accumulation moment according to the initial accumulation beam forming model, constructing and solving an accumulation beam forming optimization model according to the model optimization accumulation moment and the beam weight vector, and obtaining a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
acquiring a node distance measurement value and a relative angle between a node and the reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and obtaining optimized accumulated beam forming according to the optimized beam weight vector and performing grating lobe suppression.
2. The method of claim 1, wherein optimizing the number of accumulation instants according to the initial cumulative beamforming model design model comprises:
obtaining a combined constraint model of accumulation time number and interval increment and an independent constraint model of the interval increment according to the initial accumulation beam forming model;
solving the combined constraint model and the independent constraint model to obtain the optimal accumulation time number and the optimal interval increment;
and optimizing the number of accumulated time according to the optimal number of accumulated time and the optimal spacing increment design model.
3. The method of claim 1, wherein the constructing an initial cumulative beam forming model according to node spacing comprises:
and constructing an array manifold vector according to the node spacing:
wherein, the first and the second end of the pipe are connected with each other,to representThe array manifold vector of the time of day,the antenna directional gain of the node is represented,which represents the direction of the incoming wave,expressed in terms of wavelengthThe distance between adjacent nodes at a time is,representing the number of nodes of the distributed coherent radar;
and constructing an initial accumulation beam forming model according to the array manifold vector:
wherein, the first and the second end of the pipe are connected with each other,which represents the initial cumulative beam-forming,indicating the distance between adjacent nodes at the initial time,indicating the increment of the pitch between adjacent time instants,the initial array factor is represented by a matrix index,representing a dynamic factor.
4. The method of claim 3, wherein obtaining a joint constraint model of accumulated time instants and spacing increments from the initial accumulated beamforming model comprises:
obtaining a combined constraint model of accumulation time number and interval increment according to the dynamic factor and the initial array factor of the initial accumulation beam forming model:
5. The method of claim 3, wherein deriving the independently constrained model of the spacing increment from the initial cumulative beamforming model comprises:
and constructing an independent constraint model of the spacing increment according to the dynamic factors of the initial cumulative beam forming model and the antenna directional gain:
6. The method of claim 3, wherein constructing a cumulative beamforming optimization model based on the model-optimized cumulative number of time instants and beam weight vectors comprises:
and constructing an accumulation beam forming optimization model according to the model optimization accumulation time number and the beam weight vector, wherein the accumulation beam forming optimization model comprises the following steps:
wherein, the first and the second end of the pipe are connected with each other,indicating the ideal single-pass beam-forming,to representThe unit matrix of (a) is,a region of the main lobe is represented,the side lobe region is represented as a region of side lobes,a set of discrete angles of interest is represented,the representation model optimizes the number of accumulated time instants,is shown inAt the first momentThe beam weight of each node.
7. The method of claim 2, wherein optimizing the number of integration moments based on the optimal number of integration moments and the optimal pitch delta design model comprises:
designing a model to optimize the pitch increment according to the optimal pitch increment:
wherein the content of the first and second substances,the model-optimized coefficients are represented by,,the model is represented as an optimized pitch increment,representing an optimal pitch increment;
obtaining the model optimized accumulation time number according to the model optimized interval increment and the optimal accumulation time number:
8. The method of claim 1, wherein processing the intermediate beam weight vector according to the relative angle and the inter-node distance measurement value to obtain an optimized beam weight vector comprises:
processing the intermediate beam weight according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector as follows:
wherein the content of the first and second substances,to representThe optimized beam weight vector for a time instant,representThe intermediate beam weight vector for a time instant,is shown inAt the first momentThe relative angle of the individual nodes to the reference node,is shown inAt the first momentThe node distance measurement of each node from the reference node.
9. A moving platform distributed coherent radar grating lobe suppression device, the device comprising:
the motion mode design module is used for designing a motion mode for the nodes of the moving platform distributed coherent radar, so that all the nodes are positioned on a straight line under an ideal condition and the distances between adjacent nodes at the same moment are kept consistent;
the initial model building module is used for building an initial accumulation beam forming model according to the node distance; the node distance is the distance between a node and a preset reference node; the node distance is obtained by calculating the adjacent node distance;
the optimization model solving module is used for optimizing the accumulation time number according to the initial accumulation beam forming model design model, and constructing and solving an accumulation beam forming optimization model according to the model optimized accumulation time number and the beam weight vector to obtain a candidate beam weight matrix; the candidate beam weight matrix comprises candidate beam weight vectors corresponding to a plurality of model optimization accumulation moments;
the weight vector optimization module is used for acquiring a node distance measurement value and a relative angle between a node and the reference node, taking a candidate beam weight vector corresponding to a node distance closest to the node distance measurement value as a middle beam weight vector, and processing the middle beam weight vector according to the relative angle and the node distance measurement value to obtain an optimized beam weight vector;
and the grating lobe suppression module is used for obtaining the optimized accumulated beam according to the optimized beam weight vector and performing grating lobe suppression.
10. A computer device comprising a memory and a processor, the memory storing a computer program, wherein the processor implements the method of any one of claims 1 to 8 when executing the computer program.
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