CN114859353B - Aperture coding imaging system modeling method and device based on radiation field equivalent measurement - Google Patents

Aperture coding imaging system modeling method and device based on radiation field equivalent measurement Download PDF

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CN114859353B
CN114859353B CN202210807055.8A CN202210807055A CN114859353B CN 114859353 B CN114859353 B CN 114859353B CN 202210807055 A CN202210807055 A CN 202210807055A CN 114859353 B CN114859353 B CN 114859353B
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CN114859353A (en
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罗成高
甘凤娇
程韵涵
王宏强
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National University of Defense Technology
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Abstract

The application relates to a modeling method and a device of an aperture coding imaging system based on radiation field equivalent measurement. The method comprises the following steps: a known target data set formed by target patterns designed in advance for an aperture coding imaging system is obtained, a corresponding echo data set is obtained through receiving by a receiving module, a radiation field is modeled by the known target data set and the echo data set, and the reference signal matrix can be accurately estimated through an inverse problem solving algorithm only by designing the number of the known target patterns to be not less than the number of imaging plane grids. The method greatly reduces the workload, greatly improves the modeling precision of the reference matrix, and is beneficial to high-quality reconstruction of the target pattern.

Description

Aperture coding imaging system modeling method and device based on radiation field equivalent measurement
Technical Field
The application relates to the technical field of computational imaging, in particular to a method and a device for modeling an aperture coding imaging system based on radiation field equivalent measurement.
Background
The microwave aperture coding imaging is a novel radar imaging technology proposed in recent years, which uses the ideas of optical aperture coding imaging, microwave correlation imaging and computational imaging for reference, modulates the amplitude or phase of incident electromagnetic waves through a metamaterial aperture coding antenna, forms space-time independent radiation field distribution in a target area, then receives echo signals in a coherent or non-coherent mode, and then realizes the extraction and decoupling of target information in a wave beam in a computational imaging mode, thereby finally realizing high-resolution, forward-looking, staring and all-day imaging.
As a new radar imaging technology, the aperture coding imaging has many advantages, but has many problems in the imaging process. Such as how to obtain an accurate radiation field distribution under various systematic errors.
At present, there are two main researches on how to obtain accurate radiation field distribution of a terahertz aperture coding imaging system under various system errors at home and abroad. One is deduction modeling based on coding classification, and the imaging system mainly comprises a transmitting antenna, a receiving antenna, two aperture coding antennas of a transmitting end and a receiving end, a calculation control system and a Vector Network Analyzer (VNA). The aperture coding antenna can adopt different modulation bits to randomly modulate the amplitude or the phase of an input signal, and the coding antenna can be only arranged at a transmitting end or a receiving end or can be simultaneously arranged at the transmitting end and the receiving end. And D, dividing the imaging plane from the azimuth dimension and the elevation dimension to obtain K imaging grid units, wherein the target scattering points are supposed to be distributed in the centers of the grid units. And the vector network analyzer acquires a scattering echo signal by measuring the transmission coefficient. According to the relative position of the coding antenna and the imaging plane grid, an imaging model of transmitting-receiving synchronous coding, coding only at a transmitting end and coding only at a receiving end can be deduced. And secondly, splitting the current grid according to a preset split grid area and a scattering coefficient algorithm aiming at the grid mismatch error, and dividing the split grid of which the scattering coefficient value is greater than a preset value in the split grid into radar imaging areas. And when the grid parameters meet the preset splitting stop conditions, obtaining corresponding target imaging data according to the current grid parameters. By carrying out iterative splitting and dynamic division on the imaging grids in the microwave correlation imaging, invalid grids with scattering coefficients lower than a preset value and without targets are removed, non-uniform grids which are locally refined and removed are obtained, and the problem of grid mismatch in the microwave correlation imaging is effectively solved. The prior art method fails to comprehensively consider the influence of all errors on the target reconstruction, so that the improvement on the accuracy of the derived reference signal matrix is limited. In addition, although the method based on the planar near-field measurement and the near-far-field transformation can measure the radiation field distribution of the target imaging region more accurately, the workload is very large, and the method is difficult to realize practically.
Therefore, the prior art has the problems of large model error, large workload and poor adaptability.
Disclosure of Invention
Based on this, it is necessary to provide a method, an apparatus, a computer device and a storage medium for modeling an aperture coding imaging system based on radiation field equivalent measurement, which can improve the accuracy of a reference signal matrix and reduce the workload of echo recording.
An aperture coding imaging system modeling method based on radiation field equivalent measurement, the method comprising:
acquiring a known target data set formed by a target pattern designed in advance for an aperture coding imaging system;
under the condition of forward-looking imaging, transmitting a linear frequency modulation pulse waveform by a transmitting module, modulating the linear frequency modulation pulse waveform by an aperture coding antenna, irradiating a target pattern corresponding to the known target data set, and receiving by a receiving module to obtain a corresponding echo data set;
constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
In one embodiment, the method further comprises the following steps: acquiring a known target data set composed of a target pattern pre-designed for an aperture coded imaging system as
Figure 75129DEST_PATH_IMAGE001
(ii) a The method comprises the following steps that a pre-designed target pattern is a target pattern capable of covering a diagonal line of an imaging grid plane;
Figure 12998DEST_PATH_IMAGE002
，
Figure 714238DEST_PATH_IMAGE003
for the number of target patterns designed in advance,
Figure 813781DEST_PATH_IMAGE004
the number of grids for carrying out grid division on the imaging plane meets the requirement
Figure 295578DEST_PATH_IMAGE005
。
In one embodiment, the method further comprises the following steps: beforeUnder the condition of visual imaging, a transmitting module transmits a linear frequency modulation pulse waveform, a target pattern corresponding to the known target data set is irradiated after the linear frequency modulation pulse waveform is modulated by an aperture coding antenna, and a receiving module receives a corresponding echo data set
Figure 646924DEST_PATH_IMAGE006
(ii) a Wherein the content of the first and second substances,
Figure 327305DEST_PATH_IMAGE007
，
Figure 473115DEST_PATH_IMAGE008
the number of times the echo data is sampled and received for the receiving module.
In one embodiment, the method further comprises the following steps: constructing a radiation field solution model according to the known target dataset and the echo dataset as follows:
Figure 176629DEST_PATH_IMAGE009
(1)
Figure 190721DEST_PATH_IMAGE010
(2)
wherein the content of the first and second substances,
Figure 866553DEST_PATH_IMAGE011
in order to be a vector of the noise,
Figure 245582DEST_PATH_IMAGE012
and obtaining a reference signal matrix corresponding to the radiation field to be solved.
In one embodiment, the method further comprises the following steps: transposing two sides of the formula (2) to obtain a transpose equation:
Figure 764288DEST_PATH_IMAGE013
(3)
i.e. to the reference signal matrix
Figure 457438DEST_PATH_IMAGE014
To (1)mThe solution of the row is converted into a pair
Figure 112410DEST_PATH_IMAGE015
To (1) amSolving columns;
through type (4) pair
Figure 662340DEST_PATH_IMAGE016
To (1) amThe following solutions are performed:
Figure 12550DEST_PATH_IMAGE017
(4)
wherein the content of the first and second substances,
Figure 634024DEST_PATH_IMAGE018
representation matrix
Figure 81186DEST_PATH_IMAGE019
To (1)mThe columns of the image data are,
Figure 5279DEST_PATH_IMAGE020
representation matrix
Figure 232998DEST_PATH_IMAGE021
To (1) amThe columns of the image data are,
Figure 267951DEST_PATH_IMAGE022
representation matrix
Figure 569619DEST_PATH_IMAGE023
To (1) amColumns;
will be provided with
Figure 523668DEST_PATH_IMAGE024
As a measure-ment vector, the measurement vector,
Figure 114050DEST_PATH_IMAGE025
as a reference matrix for the inverse problem, solving by applying the inverse problemCalculating the reference signal matrix by an algorithm
Figure 749430DEST_PATH_IMAGE026
To (1) amA row;
further obtaining the reference signal matrix
Figure 499081DEST_PATH_IMAGE027
An accurate estimate of.
An aperture coding imaging system modeling apparatus based on radiation field equivalent measurements, the apparatus comprising:
the known target data set acquisition module is used for acquiring a known target data set formed by a target pattern designed in advance for the aperture coding imaging system;
the echo data set acquisition module is used for transmitting a linear frequency modulation pulse waveform by the transmitting module under the condition of forward-looking imaging, irradiating a target pattern corresponding to the known target data set after modulation by the aperture coding antenna and receiving the target pattern by the receiving module to obtain a corresponding echo data set;
the radiation field solving module is used for constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and the imaging system application module is used for reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
A computer device comprising a memory and a processor, the memory storing a computer program, the processor implementing the following steps when executing the computer program:
acquiring a known target data set formed by a target pattern designed in advance for an aperture coding imaging system;
under the condition of forward-looking imaging, a transmitting module transmits a linear frequency modulation pulse waveform, a target pattern corresponding to the known target data set is irradiated after being modulated by an aperture coding antenna, and a receiving module receives and obtains a corresponding echo data set;
constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
A computer-readable storage medium, on which a computer program is stored which, when executed by a processor, carries out the steps of:
acquiring a known target data set formed by a target pattern designed in advance for an aperture coding imaging system;
under the condition of forward-looking imaging, transmitting a linear frequency modulation pulse waveform by a transmitting module, modulating the linear frequency modulation pulse waveform by an aperture coding antenna, irradiating a target pattern corresponding to the known target data set, and receiving by a receiving module to obtain a corresponding echo data set;
constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
According to the aperture coding imaging system modeling method based on radiation field equivalent measurement, the known target data set formed by the target patterns designed in advance for the aperture coding imaging system is obtained, the corresponding echo data set is obtained through the receiving module, the radiation field is modeled by the known target data set and the echo data set, and the reference signal matrix can be accurately estimated through an inverse problem solving algorithm only by designing the number of the known target patterns to be not less than the number of the imaging plane grids. The method greatly reduces the workload, greatly improves the modeling precision of the reference matrix, and is beneficial to high-quality reconstruction of the target pattern.
Drawings
FIG. 1 is a schematic flow chart of an aperture coding imaging system modeling method based on radiation field equivalent measurement in one embodiment;
FIG. 2 is a schematic diagram of a modeling method based on radiation field equivalent measurements in one embodiment;
FIG. 3 is a block diagram of an aperture coding imaging system modeling apparatus based on radiation field equivalent measurement in one embodiment;
FIG. 4 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.
The aperture coding imaging system modeling method based on radiation field equivalent measurement can be applied to the following application environments. Under the condition of front-view imaging, a transmitter transmits radar signals to irradiate the surface of a reflective aperture coding antenna, meanwhile, a coding control module loads random modulation factors to the aperture coding antenna to perform phase modulation or amplitude modulation on the incident radar signals, and then a random radiation field irrelevant to the space is formed in an imaging area. A control processing terminal executes an aperture coding imaging system modeling method based on radiation field equivalent measurement, a known target is irradiated by utilizing a modulation signal of a reflective coding antenna, echo data of the known target are obtained by utilizing a receiving antenna after the reflection of the target, an echo data set and a target data set are constructed, and a reference signal matrix is accurately estimated by utilizing the collected data. The control processing terminal may be, but is not limited to, various personal computers, notebook computers and tablet computers.
In one embodiment, as shown in fig. 1, there is provided an aperture coding imaging system modeling method based on radiation field equivalent measurement, comprising the steps of:
at step 202, a known target data set consisting of a target pattern pre-designed for an aperture coded imaging system is acquired.
Various errors exist in practical microwave aperture coding imaging, including grid mismatch errors, signal amplitude and phase modulation errors, position errors and the like. The existence of system errors can influence the accuracy of radiation field deduction, particularly in a high frequency band, the frequency is high and the wavelength is short, and small errors can cause great influence on a radiation field, so that the precision of a deduced reference signal matrix is reduced, and the reconstruction quality of a target is further influenced.
In the prior art, implicit modeling is directly performed on a radiation field by collecting a large amount of echo data and a target data set, and the method needs to collect a large amount of data sets in order to obtain a trained neural network.
The equivalent measurement in the invention means that the imaging system modeling is realized by measuring the aperture coding radar echo corresponding to the known target data set, establishing a matrix equation and solving through an inverse problem without adopting the existing method based on plane near-field measurement and near-far-field transformation, so as to solve an equivalent radiation field containing system errors, further obtain a reference signal matrix and realize the imaging system modeling.
The overall idea of the invention is to model the radiation field by a pre-designed target data set and a corresponding echo data set of a known target pattern, solve a reference signal matrix corresponding to the radiation field, further realize accurate estimation of the radiation field distribution, and perform high-quality reconstruction on the unknown target pattern according to an aperture coding imaging model after obtaining an actual reference signal matrix.
For an aperture coding imaging system, when the imaging system is modeled by using a radiation field equivalent measurement method, a matrix formed by a target data set is required to be full-rank, so that a target pattern needs to be designed in advance, and a target pattern capable of covering a diagonal line of an imaging grid plane is selected to form a known target data set.
Specifically, an imaging plane is subjected to grid division, the imaging plane is divided into N grids, and a small amount of target pattern data is designed
Figure 499398DEST_PATH_IMAGE028
Making a pattern dataset
Figure 373813DEST_PATH_IMAGE029
，
Figure 875201DEST_PATH_IMAGE030
(ii) a Wherein the pre-designed target pattern is a target pattern capable of covering the diagonal of the imaging grid plane,
Figure 89145DEST_PATH_IMAGE031
，
Figure 650576DEST_PATH_IMAGE032
for the number of pre-designed target patterns,
Figure 215550DEST_PATH_IMAGE033
the number of meshes for carrying out mesh division on the imaging plane satisfies
Figure 520629DEST_PATH_IMAGE034
。
And 104, under the condition of front-view imaging, transmitting a chirp pulse waveform by the transmitting module, irradiating a target pattern corresponding to a known target data set after modulation by the aperture coding antenna, and receiving by the receiving module to obtain a corresponding echo data set.
After the detection signal is reflected by the target, the radar receiver obtains corresponding echo data
Figure 120238DEST_PATH_IMAGE035
Forming an echo data set using the echo data
Figure 852570DEST_PATH_IMAGE036
The target data set corresponds one-to-one to the echo data set, wherein,
Figure 639261DEST_PATH_IMAGE037
，
Figure 748031DEST_PATH_IMAGE038
，
Figure 202146DEST_PATH_IMAGE039
the number of times the echo data is sampled and received for the receiving module.
And 106, constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field.
By data sets
Figure 105380DEST_PATH_IMAGE040
And
Figure 379367DEST_PATH_IMAGE041
to the radiation field
Figure 698353DEST_PATH_IMAGE042
Modeling is performed, and the mathematical expression can be written as:
Figure 131608DEST_PATH_IMAGE043
（1）
Figure 81109DEST_PATH_IMAGE044
（2）
the formula (1) and the formula (2) form a radiation field solution model, wherein the formula (1) is an objective function, the formula (2) is a constraint condition corresponding to the model, wherein,
Figure 232605DEST_PATH_IMAGE045
wherein, in the step (A),
Figure 27386DEST_PATH_IMAGE046
is the vector of the scattering coefficient of the object,
Figure 580727DEST_PATH_IMAGE047
is the echo vector of the echo wave,
Figure 497867DEST_PATH_IMAGE048
is a noise vector. Here, the
Figure 480867DEST_PATH_IMAGE049
That is, the method can significantly reduce the collection effort of the data set relative to implicitly modeling the radiation field directly by collecting a large amount of echo data and the target data set.
Then, transposing both sides of equation (2) to obtain:
Figure 469551DEST_PATH_IMAGE050
（3）
then, the actual reference signal matrix
Figure 549503DEST_PATH_IMAGE051
To (1) amIn a line, i.e.
Figure 840807DEST_PATH_IMAGE052
To (1) amThe column can be estimated by the following equation:
Figure 701315DEST_PATH_IMAGE053
（4）
in the formula (I), the compound is shown in the specification,
Figure 103478DEST_PATH_IMAGE054
representation matrix
Figure 365832DEST_PATH_IMAGE055
To (1)mThe columns of the image data are,
Figure 624775DEST_PATH_IMAGE056
representation matrix
Figure 847946DEST_PATH_IMAGE057
To (1)mThe columns of the image data are,
Figure 178433DEST_PATH_IMAGE058
representation matrix
Figure 170660DEST_PATH_IMAGE059
To (1) amAnd (4) columns. In equation (4), the following equation may be used
Figure 600504DEST_PATH_IMAGE060
To be seen as a measurement vector, the measurement vector,
Figure 170026DEST_PATH_IMAGE061
viewed as a reference signal matrix, the first to find the actual reference signal matrix can be obtained by applying an inverse problem solving algorithmmAnd (6) rows. By analogy, the actual reference signal matrix under the system error can be realized by using the same method
Figure 179570DEST_PATH_IMAGE062
Modeling is carried out, and the process of the whole modeling method can be represented as shown in FIG. 2.
And step 108, reconstructing the unknown target pattern according to the accurate estimation value of the reference signal matrix.
By the correlation imaging principle, the parameterized mathematical model of the aperture coding imaging is as follows:
Figure 823041DEST_PATH_IMAGE063
in the reconstruction of an unknown object pattern,
Figure 751683DEST_PATH_IMAGE064
is a vector of unknown scattering coefficients of the target, a reference signal matrix
Figure 683867DEST_PATH_IMAGE065
Determines the performance of the solution of the correlation equation. The method can greatly improve the derivation precision of the reference signal matrix, and further contributes to high-quality reconstruction of the target pattern.
In the aperture coding imaging system modeling method based on radiation field equivalent measurement, a known target data set formed by target patterns designed in advance for the aperture coding imaging system is obtained, a corresponding echo data set is obtained by receiving the known target data set and the echo data set, the radiation field is modeled by the known target data set and the echo data set, and the reference signal matrix can be accurately estimated by an inverse problem solving algorithm only by designing the number of the known target patterns to be not less than the number of imaging plane grids. The method greatly improves the modeling precision of the reference matrix while greatly reducing the workload, and is beneficial to improving the reconstruction precision of the target pattern.
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 performed in the exact order shown and described, and may be performed in other orders, unless explicitly stated otherwise. 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.
In one embodiment, as shown in fig. 3, there is provided an aperture coding imaging system modeling apparatus based on radiation field equivalent measurement, comprising: a known target dataset acquisition module 302, an echo dataset acquisition module 304, a radiation field solving module 306, and an imaging system application module 308, wherein:
a known target dataset acquisition module 302 for acquiring a known target dataset composed of a target pattern pre-designed for an aperture coded imaging system;
the echo data set acquisition module 304 is used for transmitting a chirp waveform by the transmitting module under a forward-looking imaging condition, irradiating a target pattern corresponding to a known target data set after modulation by the aperture coding antenna, and receiving by the receiving module to obtain a corresponding echo data set;
the radiation field solving module 306 is used for constructing a radiation field solving model according to the known target data set and the echo data set, and solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
the imaging system application module 308 is configured to reconstruct the unknown target pattern according to the accurate estimation value of the reference signal matrix.
The known target dataset acquisition module 302 is further configured to acquire a known target dataset composed of a target pattern pre-designed for the aperture coded imaging system as
Figure 293840DEST_PATH_IMAGE066
(ii) a The method comprises the following steps that a pre-designed target pattern is a target pattern capable of covering a diagonal line of an imaging grid plane;
Figure 119713DEST_PATH_IMAGE067
，
Figure 94622DEST_PATH_IMAGE068
for the number of target patterns designed in advance,
Figure 638736DEST_PATH_IMAGE069
the number of grids for carrying out grid division on the imaging plane meets the requirement
Figure 786821DEST_PATH_IMAGE070
。
The echo data set acquisition module 304 is further configured to transmit a chirp waveform from the transmitting module under a forward-looking imaging condition, illuminate a target pattern corresponding to a known target data set after modulation by the aperture coding antenna, and receive a corresponding echo data set from the receiving module as
Figure 608146DEST_PATH_IMAGE071
(ii) a Wherein the content of the first and second substances,
Figure 878591DEST_PATH_IMAGE072
，
Figure 582105DEST_PATH_IMAGE073
to receiveThe module samples and receives the number of times the echo data is received.
The radiation field solution module 306 is further configured to construct a radiation field solution model from the known target dataset and the echo dataset as follows:
Figure 737142DEST_PATH_IMAGE074
(1)
Figure 272029DEST_PATH_IMAGE075
(2)
wherein the content of the first and second substances,
Figure 854320DEST_PATH_IMAGE076
in order to be a vector of the noise,
Figure 45130DEST_PATH_IMAGE077
and obtaining a reference signal matrix corresponding to the radiation field needing to be solved.
The radiation field solving module 306 is further configured to transpose two sides of the equation (2), so as to obtain a transposed equation:
Figure 597334DEST_PATH_IMAGE078
(3)
i.e. to the reference signal matrix
Figure 393252DEST_PATH_IMAGE079
To (1) amThe solution of the row is converted into a pair
Figure 677602DEST_PATH_IMAGE080
To (1) amSolving columns;
through type (4) pair
Figure 418025DEST_PATH_IMAGE081
To (1) amThe column solves:
Figure 914866DEST_PATH_IMAGE082
(4)
wherein, the first and the second end of the pipe are connected with each other,
Figure 689924DEST_PATH_IMAGE083
representation matrix
Figure 879597DEST_PATH_IMAGE084
To (1) amThe columns of the image data are,
Figure 841736DEST_PATH_IMAGE085
representation matrix
Figure 876688DEST_PATH_IMAGE086
To (1)mThe columns of the image data are,
Figure 771832DEST_PATH_IMAGE087
representation matrix
Figure 866827DEST_PATH_IMAGE088
To (1) amColumns;
will be provided with
Figure 253946DEST_PATH_IMAGE089
As a measure-ment vector, the measurement vector,
Figure 217223DEST_PATH_IMAGE090
as a reference matrix of the inverse problem, a reference signal matrix is obtained by applying an inverse problem solving algorithm
Figure 576660DEST_PATH_IMAGE091
To (1) amA row;
further obtain a reference signal matrix
Figure 967190DEST_PATH_IMAGE092
Is determined.
For specific limitations of the aperture coding imaging system modeling apparatus based on radiation field equivalent measurement, reference may be made to the above limitations of the aperture coding imaging system modeling method based on radiation field equivalent measurement, which are not described herein again. The modules in the aperture coding imaging system modeling device based on radiation field equivalent measurement can be wholly or partially realized by software, hardware and a combination thereof. The modules can be embedded in a hardware form or independent from 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 terminal, and its internal structure diagram may be as shown in fig. 4. The computer device includes a processor, a memory, a network interface, a display screen, and an input device 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 and a computer program. The internal memory provides an environment for the operation of an operating system and computer programs in the non-volatile storage medium. 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 method of modeling an aperture coded imaging system based on equivalent measurements of the radiation field. The display screen of the computer equipment can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer equipment can be a touch layer covered on the display screen, a key, a track ball or a touch pad arranged on the shell of the computer equipment, an external keyboard, a touch pad or a mouse and the like.
Those skilled in the art will appreciate that the architecture shown in fig. 4 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 above method embodiments when executing 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 above-mentioned method 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 can include non-volatile and/or volatile memory. 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, and these are all 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 (4)

1. An aperture coding imaging system modeling method based on radiation field equivalent measurement is characterized by comprising the following steps:
acquiring a known target data set composed of a target pattern pre-designed for an aperture coded imaging system as
Figure 506760DEST_PATH_IMAGE001
(ii) a Wherein the pre-designed target pattern is a target pattern capable of covering the diagonal of the imaging grid plane;
Figure 850017DEST_PATH_IMAGE002
，
Figure 820247DEST_PATH_IMAGE003
for the number of target patterns designed in advance,
Figure 565349DEST_PATH_IMAGE004
the number of grids for carrying out grid division on the imaging plane meets the requirement
Figure 313731DEST_PATH_IMAGE005
；
Under the condition of forward-looking imaging, a transmitting module transmits a linear frequency modulation pulse waveform, a target pattern corresponding to the known target data set is irradiated after the linear frequency modulation pulse waveform is modulated by an aperture coding antenna, and a receiving module receives a corresponding echo data set
Figure 206600DEST_PATH_IMAGE006
(ii) a Wherein the content of the first and second substances,
Figure 652625DEST_PATH_IMAGE007
，
Figure 314551DEST_PATH_IMAGE008
the number of times of sampling and receiving echo data for the receiving module;
constructing a radiation field solution model according to the known target dataset and the echo dataset as follows:
Figure 984567DEST_PATH_IMAGE009
(1)
Figure 302415DEST_PATH_IMAGE010
(2)
wherein the content of the first and second substances,
Figure 99601DEST_PATH_IMAGE011
in order to be a vector of the noise,
Figure 819296DEST_PATH_IMAGE012
a reference signal matrix corresponding to the radiation field to be solved;
solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
2. The method of claim 1, wherein solving the radiation field solution model by an inverse problem solution algorithm to obtain an accurate estimate of a reference signal matrix corresponding to the radiation field comprises:
transposing two sides of the formula (2) to obtain a transpose equation:
Figure 660213DEST_PATH_IMAGE013
(3)
i.e. to the reference signal matrix
Figure 527674DEST_PATH_IMAGE014
To (1) amThe solution of the row is converted into a pair
Figure 315502DEST_PATH_IMAGE015
To (1) amSolving columns;
through type (4) pair
Figure 686440DEST_PATH_IMAGE016
To (1) amThe column solves:
Figure 213106DEST_PATH_IMAGE017
(4)
wherein the content of the first and second substances,
Figure 239967DEST_PATH_IMAGE018
representation matrix
Figure 628223DEST_PATH_IMAGE019
To (1) amThe columns of the image data are,
Figure 119248DEST_PATH_IMAGE020
representation matrix
Figure 505230DEST_PATH_IMAGE021
To (1) amThe columns of the image data are,
Figure 81704DEST_PATH_IMAGE022
representation matrix
Figure 24384DEST_PATH_IMAGE023
To (1) amColumns;
will be provided with
Figure 307598DEST_PATH_IMAGE024
As a measure-ment vector, the measurement vector,
Figure 926798DEST_PATH_IMAGE025
as a reference matrix of an inverse problem, the reference signal matrix is solved by applying an inverse problem solving algorithm
Figure 990569DEST_PATH_IMAGE026
To (1)mA row;
further obtaining the reference signal matrix
Figure 720627DEST_PATH_IMAGE026
Is determined.
3. An aperture coding imaging system modeling apparatus based on radiation field equivalent measurement, the apparatus comprising:
a known target data set acquisition module for acquiring a known target data set composed of a target pattern designed in advance for the aperture coded imaging system as
Figure 858348DEST_PATH_IMAGE027
(ii) a Wherein the pre-designed target pattern is a target pattern capable of covering the diagonal of the imaging grid plane;
Figure 897717DEST_PATH_IMAGE028
，
Figure 448784DEST_PATH_IMAGE029
for the number of pre-designed target patterns,
Figure 920216DEST_PATH_IMAGE030
the number of grids for carrying out grid division on the imaging plane meets the requirement
Figure 240339DEST_PATH_IMAGE031
；
An echo data collection and acquisition module for transmitting chirp wave by the transmission module under forward looking imaging conditionAnd modulating the signal by an aperture coding antenna, irradiating a target pattern corresponding to the known target data set, and receiving by a receiving module to obtain a corresponding echo data set
Figure 201342DEST_PATH_IMAGE032
(ii) a Wherein the content of the first and second substances,
Figure 911809DEST_PATH_IMAGE033
，
Figure 734403DEST_PATH_IMAGE034
the number of times of sampling and receiving echo data for the receiving module;
a radiation field solving module, configured to construct a radiation field solving model according to the known target dataset and the echo dataset as follows:
Figure 174611DEST_PATH_IMAGE035
(1)
Figure 40936DEST_PATH_IMAGE036
(2)
wherein the content of the first and second substances,
Figure 504278DEST_PATH_IMAGE037
in order to be a vector of the noise,
Figure 114251DEST_PATH_IMAGE038
a reference signal matrix corresponding to the radiation field to be solved; solving the radiation field solving model through an inverse problem solving algorithm to obtain an accurate estimation value of a reference signal matrix corresponding to the radiation field;
and the imaging system application module is used for reconstructing an unknown target pattern according to the accurate estimation value of the reference signal matrix.
4. The apparatus of claim 3, wherein the radiation field solving module is further configured to:
transposing two sides of the formula (2) to obtain a transpose equation:
Figure 658234DEST_PATH_IMAGE039
(3)
i.e. to the reference signal matrix
Figure 898723DEST_PATH_IMAGE038
To (1) amThe solution of the row is converted into a pair
Figure 646099DEST_PATH_IMAGE040
To (1) amSolving the column;
through type (4) pair
Figure 325342DEST_PATH_IMAGE040
To (1) amThe column solves:
Figure 208984DEST_PATH_IMAGE041
(4)
wherein the content of the first and second substances,
Figure 885953DEST_PATH_IMAGE042
representation matrix
Figure 605779DEST_PATH_IMAGE043
To (1) amThe columns of the image data are,
Figure 823133DEST_PATH_IMAGE044
representation matrix
Figure 30124DEST_PATH_IMAGE045
To (1) amThe columns of the image data are,
Figure 409152DEST_PATH_IMAGE046
representation matrix
Figure 131121DEST_PATH_IMAGE047
To (1) amColumns;
will be provided with
Figure 89849DEST_PATH_IMAGE048
As a result of the measurement vector,
Figure 209070DEST_PATH_IMAGE049
as a reference matrix of an inverse problem, the reference signal matrix is solved by applying an inverse problem solving algorithm
Figure 290159DEST_PATH_IMAGE038
To (1) amA row;
further obtaining the reference signal matrix
Figure 233844DEST_PATH_IMAGE038
An accurate estimate of.
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