A method and system for dynamic translation control of a plane wave radiation field

Abstract

The application relates to a plane wave radiation field dynamic translation regulation method and system, and relates to the field of electromagnetic radiation field space dynamic regulation. The application innovatively uses a local plane wave radiation field to replace a plane wave radiation field with a length of tens of kilometers, so that a transmission array with a distance of hundreds of kilometers can accurately control the plane wave radiation field, and the regulation of a phase gradient of a super-long-distance large-range plane wave radiation field is realized. Through the synergistic effect of dimension reduction truncation by singular value decomposition and local narrowband field synthesis, spatial aliasing is successfully overcome, and the plane wave radiation field control with a diameter of tens of kilometers is realized at a very low hardware cost. The system only needs to perform low-complexity weight update calculation, and a synergistic regulation mechanism of the control method and the hardware refresh rate is established, so that a unified design of high-speed refresh and low-latency update is realized for continuous dynamic tasks; the plane wave radiation field high-speed motion and fixed-point coverage at any position within a range of tens of kilometers can be realized, and the flexibility and engineering feasibility of the system are greatly improved.

Description

Technical Field

[0001] This invention relates to the field of spatial dynamic control of electromagnetic radiation fields, specifically to a method and system for achieving precise control of wavefront phase gradient and spatial dynamic translation of local plane wave radiation fields at ultra-long distances using an ultra-sparse distributed array. Background Technology

[0002] In fields such as complex electromagnetic environment reconstruction, long-distance communication, and remote sensing, it is often necessary to generate plane wave radiation fields with specific phase gradients in specific regions. However, when the target field region is hundreds of kilometers away from the transmitting array and the required coverage area is tens of kilometers, traditional high-density phased arrays face enormous deployment pressure. If arrays that conform to the Nyquist space sampling theorem are used, their physical size and construction cost will be extremely high, making them difficult to implement in engineering. If an attempt is made to cover the entire region with a radiation field of tens of kilometers at once, the plane wave radiation field in the target field region will be difficult to control over ultra-long distances (hundreds of kilometers) and will easily cause severe wavefront distortion.

[0003] Ultrasparse distributed arrays offer advantages such as large aperture, low station density, and flexible deployment, making them an effective approach to solving ultra-long-distance control problems. However, the element spacing is much larger than the wavelength. (If the wavelength reaches tens of thousands), severe spatial aliasing (grating lobes) is easily generated in the target field region. Existing static modulation or large-scale overall control methods struggle to achieve a balance between high-precision phase gradient control, ultra-sparse layout, and large-scale plane wave radiation field control.

[0004] Existing research largely focuses on static plane wave radiation field control, while studies on dynamic adjustment, phase gradient control, and hardware-software coordinated regulation of ultra-large-scale radiation fields under ultra-sparse array conditions remain unsystematic. When the target field region changes continuously and control tasks switch rapidly, relying solely on offline optimization and low-frequency update mechanisms makes it difficult to simultaneously achieve large-scale field control capabilities and real-time system response. For example, patent application CN202110493566.2 uses only traditional dense antenna elements that satisfy the space sampling theorem, making it difficult to overcome physical size limitations and reconstruct plane waves over ultra-long distances. Patent application CN202121960435.2 describes system hardware components for constructing plane waves in a conventional testing environment, but faces a bottleneck of rapid energy dissipation at ultra-large scales, requiring a massive array size to further enhance plane wave control capabilities. Meanwhile, the algorithm description for ill-conditioned channels is not clear enough, and it fails to demonstrate the ability to suppress spatial aliasing under extremely sparse conditions. Finally, patent applications CN202510188070.2 and CN202510349081.4 describe a set of hardware-controlled plane wave generation systems from the perspective of array signal scheduling and system design, but do not clearly describe how to use locally controlled quiet zones for dynamic translation to reconstruct ultra-large-scale plane wave radiation fields. Therefore, how to reveal the coupling mechanism between the dynamic shaping of "long-distance" radiation fields and hardware response, and establish a dynamic shaping fast-response control method and system for ultra-large-scale spatial radiation fields, are fundamental problems that urgently need to be solved. Summary of the Invention

[0005] This invention addresses the technical shortcomings of previous ultra-large-scale sparse array technologies, such as the difficulty in controlling large-size plane wave radiation fields over ultra-long distances and the resulting aliasing distortion. It proposes a dynamic translation control method and system for plane wave radiation fields based on a dynamic translation mechanism. The core innovation of this invention lies in breaking away from the traditional "simultaneous shaping of the entire region" approach. It utilizes an ultra-sparse array to accurately generate local plane wave radiation fields over ultra-long distances, and then achieves continuous dynamic coverage of areas tens of kilometers through dynamic and continuous translation of spatial coordinates.

[0006] The technical solution adopted by this invention to solve its technical problem is:

[0007] A method for dynamic translation control of a plane wave radiation field includes the following steps:

[0008] Step 1, Ultra-long-distance ultra-sparse array modeling: Construct an ultra-sparse distributed transmission array, set the spacing between the transmission subarrays, and determine that the target field region is located at an ultra-long distance from the transmission array interface; establish a spatial propagation physical model from the transmission array elements to the discrete sampling points of the target field region, and use the scalar Green's function to calculate the ultra-sparse channel transmission matrix;

[0009] Step 2, Local Target Field and Phase Gradient Setting: Divide the macroscopic target field region into local target field control domains, set the local target field range, and introduce spatial translation variables; determine the real-time spatial coordinates of the local target field within the overall control band of the macroscopic target field based on the current translation amount;

[0010] Step 3, Ill-conditioned truncation and excitation matrix solution based on truncated singular value decomposition: Perform singular value decomposition on the ultra-sparse channel transmission matrix, then reconstruct the truncated generalized inverse matrix of the ultra-sparse channel transmission matrix based on the truncated singular value decomposition mechanism, and multiply the calculated truncated generalized inverse matrix with the target field to obtain the stable solution of the final excitation weights.

[0011] Step 4: Based on the excitation weights, extract the amplitude and phase of each RF channel to obtain multi-channel amplitude and phase control signals. The multi-channel amplitude and phase control signals are synchronously sent to the ultra-sparse distributed transmission array under the global clock drive to generate a high-speed translational local plane wave radiation field in the ultra-long-distance macroscopic target field region and maintain the wavefront phase gradient.

[0012] Furthermore, the ultra-long distance is specifically on the order of hundreds of kilometers.

[0013] Furthermore, the transmitting elements of the ultra-sparse distributed transmitting array Defined as:

[0014]

[0015] in, For the first The number of launch elements to the first The spatial straight-line distance between grid points in the target field area ε is the imaginary unit, and exp is an exponential function with base e. This represents the system's operating wavenumber.

[0016] Furthermore, the angle of the plane wave radiation field to be generated is defined. and its corresponding wavefront phase gradient The distribution model of the target field is defined as follows:

[0017]

[0018] in, is the spatial location vector of the target field region.

[0019] Furthermore, step 3 is detailed as follows:

[0020] Assuming the target field area has There are sampling points, and the transmitter has... Each array element, firstly for the ultra-sparse channel transmission matrix Perform singular value decomposition: ,in It is a left singular matrix, and its column vectors is an orthonormal basis, It is a right singular matrix, and its column vectors It is an orthogonal basis, and the superscript H indicates the conjugate transpose. It is a diagonal matrix, and the elements on the diagonal are... These are singular values, arranged in descending order: ,in Let be the rank of the matrix.

[0021] Define a truncated rank All singular values ​​less than the truncated rank are forcibly set to 0, i.e.:

[0022]

[0023] Generate a new truncated diagonal matrix , recorded as ;

[0024] Using the retained first q valid singular values ​​and their corresponding left and right singular vectors, a stable truncated generalized inverse matrix is ​​reconstructed. :

[0025]

[0026] in To truncate the right singular matrix, To truncate the left singular matrix;

[0027] Finally, using the calculated truncated generalized inverse matrix With the target field Multiply them to obtain the final incentive weights. The stable solution.

[0028] This invention also provides a dynamic translation control system for plane wave radiation fields, the system comprising: an algorithm calculation module, a communication interface module, a data processing and control module, and a distributed radio frequency drive and transmission module; the algorithm calculation module implements steps 1 to 3 of the above method, and step 4 is executed across modules, as follows:

[0029] The algorithm calculation module is deployed on the host computer and is used for ultra-sparse array modeling, local target field setting, and solving the excitation weight based on the ill-conditioned truncation and excitation matrix of truncated singular value decomposition. It calculates and updates the excitation weight instructions required for translation control in real time.

[0030] The incentive weight instruction is sent to the data processing and control module via the communication interface module;

[0031] The data processing and control module parses the received excitation weight instructions and performs reverse delay compensation coding and global synchronization triggering on different RF channels according to the hardware response delay characteristics of each channel, generating multi-channel amplitude and phase control signals;

[0032] Distributed RF drive and transmit module: includes distributed ultra-sparse transmit antenna array elements and supporting RF transceiver front end. The RF transceiver front end integrates vector phase shifter and variable gain amplifier, which are used to realize synchronous switching of amplitude and phase states after receiving multi-channel amplitude and phase control signals, and generate dynamically translated plane wave radiation field in ultra-long distance target field region.

[0033] The beneficial technical effects of this invention are as follows:

[0034] Breakthrough in ultra-long distance and ultra-large range control bottlenecks: Innovative use of local plane wave radiation field to replace tens of kilometers of plane wave radiation field enables precise control of plane wave radiation field for transmitting arrays with a distance of hundreds of kilometers, realizing the control of phase gradient of plane wave radiation field over ultra-long distance and large range.

[0035] Overcoming the spatial aliasing effect of ultra-sparse arrays: In the case of extremely sparse arrays with spacing of up to tens of thousands of wavelengths, this invention successfully overcomes spatial aliasing through the synergistic effect of "truncated singular value decomposition dimensionality reduction truncation" and "local narrowband field synthesis", and achieves control of plane wave radiation field with a diameter of tens of kilometers with extremely low hardware cost (a small number of array elements).

[0036] Efficient dynamic control and planar radiation field generation: The system only needs to perform low-complexity weight update calculations and establish a coordinated control mechanism between the control method and the hardware refresh rate, overcoming the problem of algorithm and hardware decoupling. It achieves a unified design of high-speed refresh and low-latency update for continuous dynamic tasks; it can realize high-speed movement and fixed-point coverage of the planar wave radiation field at any location within a range of tens of kilometers, greatly improving the system's flexibility and engineering feasibility. Attached Figure Description

[0037] Figure 1 A diagram illustrating the architecture of a fast response control system based on hardware and software collaboration, provided for embodiments of the present invention.

[0038] Figure 2 This is a schematic diagram of the overall layout of the ultra-sparse distributed array provided in an embodiment of the present invention;

[0039] Figure 3 A flowchart of a method for dynamic translation and phase gradient control of ultra-sparse array plane wave radiation field provided in an embodiment of the present invention;

[0040] Figure 4 Provided for embodiments of the present invention plane wave radiation field in A schematic diagram illustrating the mechanism of dynamic translation within a given range. Detailed Implementation

[0041] To better understand the purpose, structure, and function of this invention, the invention will be described in further detail below with reference to the accompanying drawings.

[0042] A method and system for dynamic translation and phase gradient control of plane wave radiation field over ultra-long distances based on ultra-sparse distributed arrays, such as... Figure 1 As shown, the system includes: an algorithm calculation module 10, a communication interface module 20, a data processing and control module 30, and a distributed radio frequency drive and transmission module 40;

[0043] Algorithm calculation module 10: Deployed on the host computer, used for ultra-sparse array modeling 11, local target field setting 12, and solving the TSVD excitation matrix 13 algorithm to suppress spatial aliasing, calculate and update the complex excitation matrix instructions required for translation control in real time;

[0044] Communication interface module 20: Using UDP or high-speed fiber optic interface, it connects the algorithm calculation module 10 and the data processing and control module 30, and is used to issue vectorized high-speed control commands.

[0045] Data processing and control module 30: includes FPGA main control logic unit 31, instruction parsing unit 32 and timing synchronization control unit 33. It is used to parse the received excitation instructions and, based on the hardware response delay characteristics of each channel, perform reverse delay compensation encoding and global synchronization triggering on different RF channels to generate multi-channel amplitude and phase control signals;

[0046] Distributed RF drive and transmit module 40: includes distributed ultra-sparse transmit antenna array element 41 and supporting RF transceiver front end. The RF transceiver front end integrates vector phase shifter and variable gain amplifier, which are used to achieve strict amplitude and phase state synchronous switching after receiving multi-channel amplitude and phase control signals, and generate dynamically translated plane wave radiation field in ultra-long distance target field region.

[0047] The method for dynamic translation and phase gradient control of ultra-long-distance plane wave radiation field based on the above system includes the following steps, with steps 1 to 3 completed in the algorithm calculation module 10, and step 4 executed collaboratively across modules:

[0048] Step 1, Modeling an ultra-long-distance ultra-sparse array: Construct an ultra-sparse distributed transmission array, setting the spacing between the transmission subarrays to be... (For example ), and determined that the target field area is located at an ultra-long distance from the launch array interface. At a distance of 100 kilometers or more; a spatial propagation physical model is established from the transmitting array elements to discrete sampling points in the target field region, and the ultra-sparse channel transmission matrix is ​​calculated using a scalar Green's function. Further, the array elements of the transmitting array element transmission matrix... Defined as:

[0049]

[0050] in, For the first The number of launch elements to the first The spatial straight-line distance between grid points in the target field area The imaginary unit is denoted by , and exp is an exponential function with the natural constant e (approximately 2.71828) as its base. The system operating wavenumber was calculated by taking into full account the drastic changes in path attenuation and phase delay caused by ultra-long-distance propagation.

[0051] Step 2, Local target field and phase gradient setting: Set the macroscopic target field region The area is divided into local target field control domains, and the range of the local target field is set as follows: And introduce spatial translation variables And based on the current translation amount Sure The area is Real-time spatial coordinates within the overall control zone Define the angle of the plane wave radiation field to be generated. and its corresponding wavefront phase gradient Generate target field distribution model Defined as:

[0052]

[0053] in, is the spatial location vector of the target field region.

[0054] Step 3, Solving for the ill-conditioned truncation and excitation matrix based on truncated singular value decomposition: In ultra-sparse arrays, due to severe spatial sampling insufficiency, electromagnetic waves will generate multiple equivalent interference maxima during spatial propagation, i.e., spatial aliasing (grating lobes). This is reflected in the mathematical model as the channel transmission matrix from the transmitting array to the target field region. It will exhibit extremely pathological behavior. Field synthesis employs a truncated singular value decomposition (SVD) algorithm. The core idea of ​​truncated SVD is to discard extremely small singular values ​​in the matrix, filtering out noise components that cause oscillations, thereby obtaining a stable and physically feasible approximate solution. The following is a detailed algorithm process:

[0055] Let the system transmission matrix be (Assuming the target field area has) There are sampling points, and the transmitter has... (Each array element). First, regarding... Perform standard singular value decomposition:

[0056]

[0057] in, It is a left singular matrix, and its column vectors It is an orthogonal basis, representing the pattern of the observation space (target field region). It is a right singular matrix, and its column vectors It is an orthogonal basis, representing the mode of the input space (emission array). Representation matrix The conjugate transpose of . It is a diagonal matrix, and the elements on the diagonal are... These are singular values, arranged in descending order: ,in Let be the rank of the matrix.

[0058] If we directly use the generalized inverse (least squares method) to solve The formula can be expanded as follows:

[0059]

[0060] It can be seen that the solution It consists of a series of basis vectors It is a linear combination, and the weights are When the matrix is ​​extremely ill-conditioned, the later singular values... It will be very close to 0. If the target field data Even a tiny error exists, divided by this value which approaches 0. After that, the error will be amplified infinitely, causing the calculated weights to be... A meaningless high-frequency oscillation containing enormous energy appears.

[0061] To eliminate the amplification effect of these tiny singular values, truncated singular value decomposition introduces a truncation mechanism. A truncation rank is set. Or a tolerance threshold All singular values ​​smaller than this threshold are forcibly set to 0, i.e.:

[0062]

[0063] This generates a new truncated diagonal matrix. , recorded as Essentially, this means abandoning the "high-frequency spatial mode," which contributes very little to the overall energy of the system but is extremely sensitive to noise.

[0064] Using the retained first q valid singular values ​​and their corresponding left and right singular vectors, a stable truncated generalized inverse matrix is ​​reconstructed. :

[0065]

[0066] in To truncate the right singular matrix, To truncate the left singular matrix, or express it using the summation formula:

[0067]

[0068] At this point, the inversion process completely eliminates the interference of tiny singular values, and the matrix becomes benign and stable.

[0069] Finally, using the calculated truncated generalized inverse matrix With the target field Multiply them to obtain the final incentive weights. Stable solution:

[0070]

[0071] The spatial aliasing caused by ultrasparse arrays is suppressed by truncating the singular value decomposition algorithm, and the calculated excitation weights are ensured. The dynamic range is within the hardware-feature-feature-capable range, ensuring coverage of the local target field. The phase gradient error of the plane wave radiation field generated internally meets the requirements for high-precision control.

[0072] Step 4, Dynamic translation control and timing synchronization through hardware and software collaboration: Algorithm calculation module 10 calculates the current translation amount... The continuous changes in the excitation weights are updated and output in real time, and the excitation weight instructions are transmitted to the data processing and control module 30 via the communication interface module 20. The data processing and control module 30 extracts the amplitude and phase of each RF channel according to the excitation weights to obtain multi-channel amplitude and phase control signals. Its internal timing synchronization control unit 33 performs timing synchronization based on the hardware response delay. The multi-channel amplitude and phase control signals are synchronously sent to the distributed RF drive and transmit module 40 under the drive of the global clock, driving the vector phase shifter and variable gain amplifier to switch synchronously, thereby generating a high-speed translated local plane wave radiation field in the ultra-long-distance macroscopic target field region and strictly maintaining the wavefront phase gradient.

[0073] The specific implementation method for timing synchronization based on hardware response latency is as follows:

[0074] Because the complex excitation matrix control command calculated by the algorithm calculation module 10 needs to go through the transmission link delay of the communication interface module 20, the processing delay of the instruction parsing and multi-channel amplitude and phase control signal allocation of the data processing and control module 30, and the state switching response time of devices such as vector phase shifters and variable gain amplifiers in the distributed RF front end, the above links together constitute a non-negligible physical hardware response delay; and due to the discrete differences in the physical environment and device characteristics of the hardware channels corresponding to each distributed array element, there are slight deviations in the overall hardware response delay of different channels.

[0075] To maintain a high-precision spatial wavefront phase gradient and suppress waveform distortion during the high-speed, continuous dynamic translation of the local plane wave radiation field along the macroscopic target field region, this invention introduces a timing synchronization control mechanism based on delay compensation. The data processing and control module 30, based on pre-measured or real-time acquired hardware response delay characteristics of each channel via a calibration feedback link, performs inverse delay compensation encoding on the timing of different channels when distributing amplitude and phase control commands (i.e., it excites control commands earlier for channels with slower hardware responses and applies corresponding delays to channels with faster hardware responses). This ensures that the RF front-ends of all distributed array elements achieve strictly simultaneous amplitude and phase state synchronization under the drive of the FPGA global synchronization clock edge. This mechanism effectively eliminates transient wavefront distortion and spatial aliasing (grating lobe) deterioration caused by asynchronous switching between channels, guarantees the coherence of multi-channel excitation signals when superimposed at spatial distances, and strictly suppresses the phase gradient control error of the plane wave radiation field within the target field region to within the technical specifications.

[0076] The control principle of this invention will be described in detail below with reference to specific parameters, such as... Figure 3 As shown, the details are as follows:

[0077] Step 101: Define the task. Set the incident angle of the target plane wave. The total target field range is defined as And set a local target field within it, with a width of .

[0078] Step 102: Construct an ultra-sparse array model. For example... Figure 2 As shown, at the distance from the target field area An ultra-sparse distributed transmission array is constructed externally, and the center-to-center spacing between adjacent transmission subarrays is set. Each small array may contain several arrays with a wavelength of half a wavelength ( The array elements are arranged closely together to form a subarray structure. This ultra-sparse layout enables the array's equivalent aperture to reach the order of hundreds of kilometers, providing a physical basis for ultra-long-distance fine-tuning.

[0079] Step 103: Calculate the ultra-sparse channel matrix A transmission model is established from the remote transmitting array element to the target field region, and the ultra-sparse channel matrix is ​​calculated. Due to the extremely long distances and sparse distribution, this channel matrix exhibits highly ill-conditioned characteristics.

[0080] Step 104: Set the initial translation amount. Divide the macroscopic target region into continuous local control domains and set the initial spatial variable for the dynamic translation of the plane wave. = .

[0081] Step 105 (Loop Start Point): Set local sampling coordinates. Based on the translation amount at the current moment. Set the real-time local sampling coordinates of the controlled local field within the overall control band. .

[0082] Step 106: Generate the local target field Generate under the current local sampling coordinates. Target field vector width This includes the angle of incidence. The determined ideal wavefront phase gradient .

[0083] Step 107: TSVD Cooperative Control. For highly ill-conditioned ultrasparse channel matrices... Singular value decomposition (SVD) is performed, and a threshold is set to truncate (filter out) the minimal ill-conditioned singular value components that cause spatial aliasing and energy divergence, thereby calculating and reconstructing a stable and well-state truncated generalized inverse matrix. .

[0084] Step 108: Calculate the activation matrix at the current time step. Calculate the required activation weights at the current time step using the truncated generalized inverse matrix. (The calculation formula is) This truncation process makes the incentive weights numerically smoother and their dynamic range convergent.

[0085] Step 109: Load the matrix into the transmit array and generate a local plane wave. Then, calculate the vectorized command. The data is transmitted at high speed to the data processing and control module via a communication interface module (such as UDP / high-speed fiber optic). The module uses the parallel data interaction capability of the FPGA to parse the instructions and perform timing synchronization compensation. Finally, the instructions are sent to the distributed RF transmission module to directly drive the vector modulation phase shifter and the variable gain amplifier, generating a local target field at the current location at a remote end.

[0086] Step 110: Determine if the translation is complete. Determine the current translation amount. Has the set finish line been reached? If so, the loop ends, completing the entire process. Dynamic translation coverage of the target field area; if not, proceed to step 111.

[0087] Step 111: Update the translation. Update the (step) spatial translation variable. The value is then returned to step 105 to repeat the local field manipulation for the next time step. Combined with... Figure 4 It can be seen that the core mechanism of this multi-module continuous translation with hardware and software collaboration lies in the fact that the algorithm only needs to be updated in real time. Incentive weights of individual array elements This can change the local area. Spatial location of the target field By using a "spatial sliding window" to sweep across the area (trading time for space), seamless coverage and closed-loop control precision of the ultra-large target field area are ultimately achieved.

[0088] The above description is merely a preferred embodiment of the present invention and does not limit the invention. Any modifications, equivalent substitutions, or improvements made by those skilled in the art without departing from the principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for dynamic translation control of a plane wave radiation field, characterized in that, Includes the following steps: Step 1, Ultra-long-distance ultra-sparse array modeling: Construct an ultra-sparse distributed transmission array, set the spacing between the transmission subarrays, and determine that the target field region is located at an ultra-long distance from the transmission array interface; establish a spatial propagation physical model from the transmission array elements to the discrete sampling points of the target field region, and use the scalar Green's function to calculate the ultra-sparse channel transmission matrix; Step 2, Local Target Field and Phase Gradient Setting: Divide the macroscopic target field region into local target field control domains, set the local target field range, and introduce spatial translation variables; determine the real-time spatial coordinates of the local target field within the overall control band of the macroscopic target field based on the current translation amount; Step 3, Ill-conditioned truncation and excitation matrix solution based on truncated singular value decomposition: Perform singular value decomposition on the ultra-sparse channel transmission matrix, then reconstruct the truncated generalized inverse matrix of the ultra-sparse channel transmission matrix based on the truncated singular value decomposition mechanism, and multiply the calculated truncated generalized inverse matrix with the target field to obtain the stable solution of the final excitation weights. Step 4: Based on the excitation weights, extract the amplitude and phase of each RF channel to obtain multi-channel amplitude and phase control signals. The multi-channel amplitude and phase control signals are synchronously sent to the ultra-sparse distributed transmission array under the global clock drive to generate a high-speed translational local plane wave radiation field in the ultra-long-distance macroscopic target field region and maintain the wavefront phase gradient.

2. The method for dynamic translation control of a plane wave radiation field according to claim 1, characterized in that, The ultra-long distance is specifically in the range of hundreds of kilometers.

3. The method for dynamic translation control of a plane wave radiation field according to claim 1, characterized in that, The transmitting elements of the ultra-sparse distributed transmitting array Defined as: in, For the first The number of launch elements to the first The spatial straight-line distance between grid points in the target field area ε is the imaginary unit, and exp is an exponential function with base e. This represents the system's operating wavenumber.

4. The method for dynamic translation control of a plane wave radiation field according to claim 3, characterized in that, Define the angle of the plane wave radiation field to be generated. and its corresponding wavefront phase gradient The distribution model of the target field is defined as follows: in, is the spatial location vector of the target field region.

5. The method for dynamic translation control of a plane wave radiation field according to claim 4, characterized in that, Step 3 is described in detail below: Assuming the target field area has There are sampling points, and the transmitter has... Each array element, firstly for the ultra-sparse channel transmission matrix Perform singular value decomposition: ,in It is a left singular matrix, and its column vectors is an orthonormal basis, It is a right singular matrix, and its column vectors It is an orthogonal basis, and the superscript H indicates the conjugate transpose. It is a diagonal matrix, and the elements on the diagonal are... These are singular values, arranged in descending order: ,in Let be the rank of the matrix. Define a truncated rank All singular values ​​less than the truncated rank are forcibly set to 0, i.e.: Generate a new truncated diagonal matrix , recorded as ; Using the retained first q valid singular values ​​and their corresponding left and right singular vectors, a stable truncated generalized inverse matrix is ​​reconstructed. : in To truncate the right singular matrix, To truncate the left singular matrix; Finally, using the calculated truncated generalized inverse matrix With the target field Multiply them to obtain the final incentive weights. The stable solution.

6. A dynamic translation control system for a plane wave radiation field, characterized in that, The system includes: an algorithm calculation module (10), a communication interface module (20), a data processing and control module (30), and a distributed radio frequency driving and transmitting module (40); the algorithm calculation module (10) implements steps 1 to 3 in any of the methods described in claims 1-5, and step 4 is executed across modules, as follows: The algorithm calculation module (10) is deployed on the host computer for ultra-sparse array modeling, local target field setting, and solving the excitation weight based on the ill-conditioned truncation and excitation matrix of the truncated singular value decomposition, and calculating and updating the excitation weight instructions required for translation control in real time. The incentive weight instruction is sent to the data processing and control module (30) via the communication interface module (20); The data processing and control module (30) parses the received excitation weight instruction and performs reverse delay compensation coding and global synchronization triggering on different radio frequency channels according to the hardware response delay characteristics of each channel, generating multi-channel amplitude and phase control signals; Distributed RF drive and transmit module (40): includes distributed ultra-sparse transmit antenna array elements (41) and supporting RF transceiver front end. The RF transceiver front end integrates a vector phase shifter and a variable gain amplifier, which are used to realize synchronous switching of amplitude and phase states after receiving multi-channel amplitude and phase control signals, and generate a dynamically translated plane wave radiation field in the ultra-long distance target field area.

Images