Single-frequency MIMO arc array radar near-range frequency domain three-dimensional imaging method

By employing a frequency domain three-dimensional imaging method for single-frequency MIMO arc array radar, utilizing Fourier transform and phase compensation with matched filter function, combined with Stolt transform and three-dimensional inverse Fourier transform, the problem of low imaging efficiency of single-frequency MIMO arc array radar is solved, enabling rapid three-dimensional imaging of close-range targets.

CN116774178BActive Publication Date: 2026-04-14SHANGHAI RADIO EQUIP RES INST
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-06-01
Publication Date
2026-04-14

AI Technical Summary

Technical Problem

Existing fast imaging algorithms for single-frequency MIMO arc array radars cannot quickly acquire three-dimensional radar images of targets of arbitrary shapes, resulting in insufficient imaging efficiency.

Method used

A near-range frequency domain three-dimensional imaging method using a single-frequency MIMO arc array radar is proposed. By acquiring time-domain echo data, performing Fourier transform and phase compensation using matched filtering functions, and combining Stolt transform and three-dimensional inverse Fourier transform, three-dimensional imaging of frequency domain data is achieved.

Benefits of technology

It enables rapid three-dimensional imaging of targets of arbitrary shapes in close-range space, improving imaging efficiency, reducing radar data volume, and enhancing resolution and imaging accuracy.

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Abstract

The application discloses a kind of near-range frequency domain three-dimensional imaging methods of single-frequency MIMO arc-shaped array radar, comprising: S1, the time-domain echo signal of single-frequency MIMO arc-shaped array radar is acquired;S2, by calculating the time-domain echo compensation function from MIMO arc-shaped array to equivalent MIMO linear array, the echo signal after time-domain compensation is obtained;S3, Fourier transform is executed to the above-mentioned echo signal, frequency domain echo signal is acquired, and according to the principle of stationary phase, deduce matching filter function, and the frequency domain echo signal after matching filtering is obtained;S4, according to the wave number mapping relationship, the above-mentioned frequency domain echo signal is projected into image frequency domain space, and three-dimensional inverse Fourier transform is executed to image frequency domain signal, and the three-dimensional radar image of single-frequency MIMO arc-shaped array is obtained.The application utilizes the distance direction real aperture of MIMO arc-shaped array to obtain distance direction resolution, realizes the fast three-dimensional imaging of single-frequency MIMO arc-shaped array radar to near-range target, to improve the imaging efficiency of MIMO arc-shaped array radar.
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Description

Technical Field

[0001] This invention relates to the field of radar signal processing technology, and in particular to a method for rapid three-dimensional imaging in the short-range frequency domain of a single-frequency MIMO arc array radar. Background Technology

[0002] Multi-Input Multi-Output (MIMO) radar is a new type of radar system with multiple transmitting and receiving antennas. Each transmitting antenna independently transmits signals, and each receiving antenna independently receives the echoes from all transmitted signals scattered by the target. This can form an effective phase center far exceeding the number of channels, resulting in higher angular resolution in imaging applications. MIMO radar imaging technology has been used in two-dimensional imaging, three-dimensional imaging, ground-penetrating imaging, and through-wall imaging.

[0003] MIMO arc array radar, with a given array size, can achieve high azimuth resolution and imaging efficiency using a smaller number of array elements, thereby reducing the cost of MIMO radar imaging systems. Compared to traditional MIMO linear arrays, MIMO arc arrays offer higher azimuth image resolution and richer multi-angle target information. Traditional MIMO arc array radar systems are generally based on broadband or ultra-wideband mechanisms, and their imaging efficiency is limited by the large amount of three-dimensional echo data.

[0004] For single-frequency MIMO arc array radar, existing technologies typically employ time-domain imaging algorithms to achieve close-range three-dimensional imaging, which offers high imaging accuracy but cannot meet the demands of practical applications. Summary of the Invention

[0005] The purpose of this invention is to provide a short-range frequency domain three-dimensional imaging method for single-frequency MIMO arc array radar, which solves the problem that existing fast imaging algorithms for single-frequency MIMO arc array radar cannot quickly acquire three-dimensional radar images of targets of arbitrary shapes.

[0006] To solve the above problems, the present invention is achieved through the following technical solution:

[0007] A short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar includes:

[0008] Step S1: Based on the transmitted signal of the single-frequency MIMO arc array radar and the two-way slant range between the antenna array and the observed target, collect the time-domain echo data of the single-frequency MIMO arc array radar to the observed target.

[0009] Step S2: Calculate the time-domain echo compensation function based on the geometric transformation relationship from MIMO arc array to equivalent MIMO linear array, and obtain the time-domain compensated time-domain echo data of single-frequency MIMO arc array radar.

[0010] Step S3: Perform a Fourier transform on the time-domain echo data after time-domain compensation to obtain frequency-domain echo data; then calculate the matched filter function according to the stationary phase principle, and perform phase compensation on the frequency-domain echo data according to the matched filter function to obtain matched-filtered frequency-domain echo data.

[0011] Step S4: Based on the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space, the frequency domain echo data is projected into the image frequency domain space through Stolt transform, and then a three-dimensional inverse Fourier transform is performed on the image frequency domain data to obtain a three-dimensional radar image of the single-frequency MIMO arc array radar.

[0012] Optionally, step S1 includes:

[0013]

[0014] In the formula, Represents time-domain echo data; This represents the azimuth angle of the m-th transmitting element in the transmitting array; This represents the azimuth angle of the nth receiving element in the receiving array; z T The z-axis represents the height coordinate of the transmitting array. R The height coordinate of the receiving array is represented by σ; the backscattering coefficient of the observed target is represented by f. c The radar transmits signals at a frequency of ρ; c represents the speed of electromagnetic wave propagation; ρ represents the operating frequency of the radar signal. T Represents the transmit slant range history of the MIMO arc array; ρ R The slant range history of the MIMO arc array is represented; j represents the imaginary unit.

[0015] Optionally, step S1 further includes: calculating the transmission slant range history ρ between the MIMO arc array radar and the observed target based on the imaging geometry of the single-frequency MIMO arc array radar. T With the receiving slant range ρ R ,include:

[0016]

[0017] Among them, R A (x,y,z) represents the radius of the arc of the MIMO arc array radar; (x,y,z) represents the position coordinates of the observed target.

[0018] Optionally, step S2 includes:

[0019]

[0020] Wherein, S(y) T ,yR ,z T ,z R ) represents the time-domain echo data after time-domain compensation; ρ′ T Represents the transmit slant range history of the equivalent MIMO linear array; ρ′ R This represents the receive slant range history of the equivalent MIMO linear array; y T This represents the azimuth coordinates of the transmitting array; y R The azimuth coordinates of the receiving array are represented; σ represents the backscattering coefficient of the observed target; f c c represents the operating frequency of the radar signal; z represents the speed of electromagnetic wave propagation; T The z-axis represents the height coordinate of the transmitting array. R The height coordinate of the receiving array is represented by j; j represents the imaginary unit.

[0021] Optionally, step S2 further includes: calculating a geometric transformation compensation function based on the geometric transformation relationship from the MIMO arc array to the equivalent MIMO linear array, as shown in the following formula:

[0022]

[0023] In the formula, This represents the geometric transformation compensation function.

[0024] Optionally, step S3 includes: time-domain compensated time-domain echo data S(y T ,y R ,z T ,z R (Through the launch aperture dimension) T ,z T and receiving aperture dimension y R ,z R The Fourier transform yields the following frequency domain echo signal:

[0025]

[0026] Where k represents the signal wavenumber, k = 2πf c / c;k yt Indicates the azimuth wavenumber of the transmitting array; k zt The wavenumber represents the height of the transmitting array; k yr Indicates the azimuth wavenumber of the receiving array; k zr The receiver array's height-direction wavenumber is represented by ρ′; j represents the imaginary unit; T Represents the transmit slant range history of the equivalent MIMO linear array; ρ′ R This represents the receive slant range history of the equivalent MIMO linear array; y T This represents the azimuth coordinates of the transmitting array; y RIndicates the azimuth coordinates of the receiving array; z T The z-axis represents the height coordinate of the transmitting array. R This represents the height coordinate of the receiving array.

[0027] Solving the above Fourier transform integral based on the stationary phase principle allows us to obtain the frequency domain echo signal S(k). yt ,k yr ,k zt ,k zr Convert to the following form:

[0028]

[0029] In the formula, (x,y,z) represents the position coordinates of the observed target.

[0030] The matched filter function constructed based on the stationary phase principle and the frequency domain echo data is as follows:

[0031]

[0032] In the formula, (x C ,y C ,z C ) represents the position coordinates of the reference target.

[0033] Optionally, the matched-filtered frequency domain echo data I(k) yt ,k yr ,k zt ,k zr ):

[0034]

[0035] Optionally, step S4 further includes: calculating the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space based on the imaging geometry model, using the following formula:

[0036]

[0037] Where, k x k represents the range wavenumber in the image frequency domain; y k represents the azimuth wavenumber in the image frequency domain; z The height wavenumber represents the image frequency domain space.

[0038] Optionally, step S4 includes:

[0039]

[0040] Among them, I Arc (x,y,z) represents a three-dimensional radar image of a single-frequency MIMO arc array radar.

[0041] On the other hand, the present invention also provides an electronic device including a processor and a memory, wherein a computer program is stored in the memory, and when the computer program is executed by the processor, it implements the method described above.

[0042] This invention has at least one of the following technical effects:

[0043] This invention utilizes a single-frequency MIMO arc array radar to achieve rapid three-dimensional imaging of targets of arbitrary shapes in near-field three-dimensional space.

[0044] This invention employs a radar imaging model of a single-frequency MIMO arc array radar. While reducing the amount of radar data, it utilizes the aperture length of the arc array in the range direction to achieve range resolution, thus realizing three-dimensional spatial imaging of the single-frequency MIMO arc array radar.

[0045] This invention derives the time-domain phase compensation function and frequency-domain matched filtering function of a single-frequency MIMO arc array radar, enabling rapid three-dimensional imaging of targets in close-range space and significantly improving the three-dimensional imaging efficiency of the single-frequency MIMO arc array radar. Attached Figure Description

[0046] Figure 1 This is a flowchart of a method for rapid three-dimensional imaging in the near-range frequency domain of a single-frequency MIMO arc array radar according to an embodiment of the present invention;

[0047] Figure 2 A schematic diagram of the imaging geometry of a single-frequency MIMO arc array radar provided in an embodiment of the present invention;

[0048] Figure 3 This is a schematic diagram of a three-dimensional target scene provided in an embodiment of the present invention. Detailed Implementation

[0049] The following detailed description, in conjunction with the accompanying drawings and specific embodiments, provides a further detailed explanation of the short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar proposed in this invention. The advantages and features of this invention will become clearer from the following description. It should be noted that the accompanying drawings are in a very simplified form and use non-precise proportions, used only to facilitate and clearly illustrate the embodiments of this invention. Please refer to the accompanying drawings to make the objectives, features, and advantages of this invention more apparent and understandable. It should be understood that the structures, proportions, sizes, etc., depicted in the accompanying drawings are only for illustrative purposes to aid those skilled in the art and are not intended to limit the implementation conditions of this invention. Therefore, they have no substantial technical significance. Any modifications to the structure, changes in proportions, or adjustments to the size, without affecting the effects and objectives achieved by this invention, should still fall within the scope of the technical content disclosed in this invention.

[0050] like Figure 1 As shown, this embodiment provides a method for rapid three-dimensional imaging in the short-range frequency domain of a single-frequency MIMO arc array radar, including:

[0051] Step S1: Acquire echo data from single-frequency MIMO arc array radar: Based on the transmitted signal of single-frequency MIMO arc array radar and the imaging geometry between the antenna array and the observed target, acquire the time-domain echo data of single-frequency MIMO arc array radar to the observed target.

[0052] Step S2: Obtain time-domain compensated echo data from a single-frequency MIMO arc array radar: Determine the center of the MIMO arc array relative to the three-dimensional target scene (e.g., Figure 3 Based on the reference distance (as shown), the time-domain echo compensation function is calculated according to the geometric transformation relationship from the MIMO arc array to the equivalent MIMO linear array, and the time-domain echo data after the above time-domain compensation is obtained.

[0053] Step S3: Obtain frequency domain echo data of single-frequency MIMO arc array radar: Perform Fourier transform on the time domain echo data after the above geometric transformation compensation to obtain the above frequency domain echo data; derive the matched filter function according to the stationary phase principle, and perform phase compensation on the frequency domain echo data according to the above matched filter function to obtain the matched filtered frequency domain echo data.

[0054] Step S4: Acquire a three-dimensional radar image of a single-frequency MIMO arc array. Based on the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space, project the above frequency domain echo data into the image frequency domain space through Stolt transform. Then perform a three-dimensional inverse Fourier transform on the above image frequency domain data to realize three-dimensional imaging of near-field targets by the single-frequency MIMO arc array radar.

[0055] Therefore, this embodiment utilizes the range-direction real aperture of the MIMO arc array radar to obtain range-direction resolution, realizing rapid three-dimensional imaging of near-range targets by a single-frequency MIMO arc array radar, thereby improving the imaging efficiency of the MIMO arc array radar.

[0056] Step S1: Based on the transmitted signal of the single-frequency MIMO arc array radar and the imaging geometry between the antenna array and the observed target, acquire the time-domain echo data of the single-frequency MIMO arc array radar on the observed target.

[0057] Please see details. Figure 2 In terms of imaging geometry, the single-frequency MIMO arc array radar forms a two-dimensional arc array by combining an azimuth array with an elevation scan, thereby achieving range, azimuth, and elevation resolution.

[0058] based on Figure 2 Based on the imaging geometry, the two-way slant range history between the antenna array and the observed target P can be calculated, including the transmission slant range history ρ. T and receiving slant range ρ R :

[0059]

[0060] in, This represents the azimuth angle of the m-th transmitting element in the transmitting array; R represents the azimuth angle of the nth receiving element in the receiving array; A This represents the radius of the arc of the MIMO arc array;

[0061] z T The z-axis represents the height coordinate of the transmitting array. R (x, y, z) represents the height coordinates of the receiving array; (x, y, z) represents the position coordinates of the observed target P.

[0062] The single-frequency MIMO arc array radar uses a single-frequency signal as the transmitted signal. Based on the aforementioned two-way slant range history, the echo signal (time-domain echo data) from the m-th transmitting element to the n-th receiving element is obtained as follows:

[0063]

[0064] Where σ represents the backscattering coefficient of the observed target P; f c represents the operating frequency of the radar signal; c represents the speed of electromagnetic wave propagation; j represents the imaginary unit.

[0065] Step S2: Calculate the time-domain echo compensation function based on the geometric transformation relationship from MIMO arc array to equivalent MIMO linear array, and obtain the time-domain compensated echo data of single-frequency MIMO arc array radar.

[0066] Specifically, the imaging geometry of a single-frequency MIMO arc array radar is relatively complex. Therefore, this embodiment calculates the time-domain echo compensation function to convert the MIMO arc array into an equivalent MIMO linear array, so as to facilitate the derivation of the imaging signal model of the single-frequency MIMO arc array radar.

[0067] Figure 2 The slant ranges in polar coordinates from the midpoint target C to the m-th transmitting element and the n-th receiving element of the MIMO arc array radar are respectively:

[0068]

[0069] Among them, R C θ represents the radius of the circular arc representing point target C; C This represents the azimuth angle of point target C; z C This represents the height coordinate of point target C.

[0070] The slant distances from point target C to the m-th transmitting element and the n-th receiving element of the equivalent MIMO linear array are respectively:

[0071]

[0072] Among them, y C This represents the azimuth coordinates of point target C; y T This represents the azimuth coordinates of the transmitting array; y R This indicates the azimuth coordinates of the receiving array.

[0073] The slant range phase difference between the MIMO arc array and the equivalent MIMO linear array to the point target C is:

[0074]

[0075] The time-domain echo compensation function required to convert from a MIMO arc array to an equivalent MIMO linear array is:

[0076]

[0077] Based on the time-domain echo compensation function in equation (6), the time-domain echo data in equation (2) is converted into time-domain compensated time-domain echo data for a single-frequency MIMO arc array radar.

[0078]

[0079] Step S3: Perform a Fourier transform on the time-domain echo data after the geometric transformation compensation to obtain the frequency-domain echo data; then derive the matched filter function based on the stationary phase principle, and perform phase compensation on the frequency-domain echo data according to the matched filter function to obtain the matched-filtered frequency-domain echo data; specifically, the time-domain compensated echo data is processed through the emission aperture dimension y T ,z T and receiving aperture dimension y R ,z R The Fourier transform yields the following frequency domain echo signal:

[0080]

[0081] Where k represents the signal wavenumber, k = 2πf c / c;k yt Indicates the azimuth wavenumber of the transmitting array; k zt The wavenumber represents the height of the transmitting array; k yr Indicates the azimuth wavenumber of the receiving array; k zr This indicates the height-direction wavenumber of the receiving array.

[0082] Solving the Fourier transform integral based on the stationary phase principle, the frequency domain echo signal in equation (8) can be converted into the following form.

[0083]

[0084] According to equation (9), the frequency domain matched filter function is defined as follows in the frequency domain.

[0085]

[0086] Using the frequency domain matched filter function in equation (10) to perform phase compensation on the frequency domain echo data in equation (9), the following matched-filtered frequency domain echo data can be obtained.

[0087]

[0088] Step S4: Based on the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space, the above frequency domain echo data is projected into the image frequency domain space through Stolt transform, and then a three-dimensional inverse Fourier transform is performed on the image frequency domain data to obtain a three-dimensional radar image of the single-frequency MIMO arc array radar.

[0089] Specifically, based on the wavenumber mapping relationship of the imaging signal model, the wavenumber mapping from the echo frequency domain space to the image frequency domain space is as follows:

[0090]

[0091] Where, k xk represents the range wavenumber in the image frequency domain; y k represents the azimuth wavenumber in the image frequency domain; z The height wavenumber represents the image frequency domain space.

[0092] Based on the beam mapping relationship in equation (12), the Stolt transform is performed on the frequency domain echo data in equation (11) to obtain the image frequency domain data of the single-frequency MIMO arc array radar:

[0093] I(k x ,k y ,k z )=exp{-j[k x (xx C )+k y (yy C )+k z (zz C (13)

[0094] Perform a three-dimensional inverse Fourier transform on the image frequency domain data described in equation (13) to obtain a three-dimensional radar image of the single-frequency MIMO arc array radar:

[0095]

[0096] On the other hand, this embodiment also provides an electronic device, including a processor and a memory, wherein a computer program is stored in the memory, and when the computer program is executed by the processor, it implements the method described above.

[0097] In summary, this embodiment provides a method for rapid three-dimensional imaging in the near-range frequency domain using a single-frequency MIMO arc array radar. The single-frequency MIMO arc array radar utilizes the range aperture of the arc array to achieve range resolution of the observed target. Compared with conventional broadband MIMO radar, the single-frequency MIMO arc array radar can achieve three-dimensional spatial imaging while reducing the amount of radar data. By deriving the time-domain phase compensation function and frequency-domain matched filtering function of the single-frequency MIMO arc array radar, rapid three-dimensional imaging of near-range observed targets is achieved. Compared with existing back projection imaging algorithms, this significantly improves the three-dimensional imaging efficiency of the single-frequency MIMO arc array radar.

[0098] It should be noted that, in this document, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Unless otherwise specified, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0099] It should be noted that the apparatus and methods disclosed in the embodiments herein can also be implemented in other ways. The apparatus embodiments described above are merely illustrative; for example, the flowcharts and block diagrams in the accompanying drawings show the architecture, functionality, and operation of possible implementations of apparatus, methods, and computer program products according to various embodiments herein. In this regard, each block in a flowchart or block diagram may represent a module, program, or part of code containing one or more executable instructions for implementing a specified logical function. It should also be noted that in some alternative implementations, the functions marked in the blocks may occur in a different order than those marked in the drawings. For example, two consecutive blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in a block diagram and / or flowchart, and combinations of blocks in block diagrams and / or flowcharts, can be implemented using a dedicated hardware-based system to perform the specified function or action, or can be implemented using a combination of dedicated hardware and computer instructions.

[0100] In addition, the functional modules in the various embodiments of this article can be integrated together to form an independent part, or each module can exist independently, or two or more modules can be integrated to form an independent part.

[0101] Although the present invention has been described in detail through the preferred embodiments above, it should be understood that the above description should not be considered as a limitation of the present invention. Various modifications and substitutions to the present invention will be apparent to those skilled in the art after reading the above description. Therefore, the scope of protection of the present invention should be defined by the appended claims.

Claims

1. A short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar, characterized in that, include: Step S1: Based on the transmitted signal of the single-frequency MIMO arc array radar and the two-way slant range between the antenna array and the observed target, collect the time-domain echo data of the single-frequency MIMO arc array radar to the observed target. Step S1 includes: In the formula, Represents time-domain echo data; Indicates the first in the transmission array m The azimuth angle of each transmitting element; Indicates the first in the receiving array n The azimuth angle of each receiving array element; Indicates the height coordinate of the transmitting array; Indicates the height coordinate of the receiving array; This represents the backscattering coefficient of the observed target; Indicates the operating frequency of the radar's transmitted signal; Indicates the speed of electromagnetic wave propagation; Represents the transmit slant range history of the MIMO arc array; This represents the receiving slant range history of the MIMO arc array; Represents the imaginary unit; Step S2: Calculate the time-domain echo compensation function based on the geometric transformation relationship from MIMO arc array to equivalent MIMO linear array, and obtain the time-domain compensated time-domain echo data of single-frequency MIMO arc array radar. Step S2 includes: in, This represents the time-domain echo data after time-domain compensation. Represents the transmit slant range history of an equivalent MIMO linear array; Represents the receiving slant range history of an equivalent MIMO linear array; Indicates the azimuth coordinates of the transmitting array; Indicates the azimuth coordinates of the receiving array; This represents the backscattering coefficient of the observed target; Indicates the operating frequency of the radar's transmitted signal; Indicates the speed of electromagnetic wave propagation; Indicates the height coordinate of the transmitting array; Indicates the height coordinate of the receiving array; Represents the imaginary unit; Step S3: Perform a Fourier transform on the time-domain echo data after time-domain compensation to obtain frequency-domain echo data; then calculate the matched filter function according to the stationary phase principle, and perform phase compensation on the frequency-domain echo data according to the matched filter function to obtain matched-filtered frequency-domain echo data; Step S3 includes: time-domain compensated time-domain echo data. Through the launch aperture dimension and receiving aperture dimension The Fourier transform yields the following frequency domain echo signal: in, Indicates the signal wavenumber. ; Indicates the azimuth wavenumber of the transmitting array; Indicates the height-direction wavenumber of the transmitting array; Indicates the azimuth wavenumber of the receiving array; Indicates the height-direction wavenumber of the receiving array; Represents the imaginary unit; Represents the transmit slant range history of an equivalent MIMO linear array; Represents the receiving slant range history of an equivalent MIMO linear array; Indicates the azimuth coordinates of the transmitting array; Indicates the azimuth coordinates of the receiving array; Indicates the height coordinate of the transmitting array; Indicates the height coordinate of the receiving array; Solving the above Fourier transform integral based on the stationary phase principle allows for the determination of the frequency domain echo signal. Convert to the following form: In the formula, Indicates the position coordinates of the observed target; The matched filter function is constructed based on the stationary phase principle and the frequency domain echo data as follows: In the formula, Indicates the position coordinates of the reference target; The frequency domain echo data after matched filtering : ; Step S4: Based on the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space, the frequency domain echo data is projected into the image frequency domain space through Stolt transform, and then a three-dimensional inverse Fourier transform is performed on the image frequency domain data to obtain a three-dimensional radar image of the single-frequency MIMO arc array radar.

2. The short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar as described in claim 1, characterized in that, Step S1 further includes: calculating the transmission slant range history between the MIMO arc array radar and the observed target based on the imaging geometry of the single-frequency MIMO arc array radar. Receiving slant range history ,include: in, Indicates the radius of the arc of a MIMO arc array radar; This indicates the position coordinates of the observed target.

3. The short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar as described in claim 1, characterized in that, Step S2 further includes: calculating the geometric transformation compensation function based on the geometric transformation relationship from the MIMO arc array to the equivalent MIMO linear array, as shown in the following formula: In the formula, This represents the geometric transformation compensation function.

4. The short-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar as described in claim 1, characterized in that, Step S4 further includes: calculating the wavenumber mapping relationship from the echo frequency domain space to the image frequency domain space based on the imaging geometry model, using the following formula: in, Represents the range wavenumber in the image's frequency domain space; Represents the azimuth wavenumber in the image frequency domain space; The height wavenumber represents the image frequency domain space.

5. The near-range frequency domain three-dimensional imaging method for a single-frequency MIMO arc array radar as described in claim 4, characterized in that, Step S4 includes: in, A three-dimensional radar image representing a single-frequency MIMO arc array radar.

6. An electronic device, characterized in that, It includes a processor and a memory, wherein a computer program is stored in the memory, and when executed by the processor, the computer program implements the method of any one of claims 1 to 5.

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