Phased array radar dimension reduction four-channel main lobe and side lobe interference resisting method

Abstract

The invention discloses a phased array radar dimension reduction four-channel main lobe and side lobe interference resisting method, and relates to the technical field of signal processing, and the method comprises the steps: generating a virtual phase gradient field through dynamic topology regulation and control by employing the non-reciprocal electromagnetic characteristics of a magnetic monopole metamaterial, and executing the non-Abel quantum interference operation, multiple paths of virtual channel signals and quantum vacuum field component composite signals are generated; constructing interlayer entanglement parameters based on the multi-path virtual channel signals and the quantum vacuum field component composite signal, and reserving quantum superposition state characteristics with interference correlation through guidance of the interlayer entanglement parameters to generate a dimension reduction tensor; a curvature response geodesic projection operator is constructed in the hyperbolic Riemann space according to the dimensionality reduction tensor, main lobe strong interference and side lobe dispersion interference are separated through a local interference rejection field, and an interference component set is generated; according to the method, the inter-layer entanglement parameter is constructed and the dimension reduction tensor with the interference correlation maintaining capability is generated, so that synchronous identification and suppression of main lobe and side lobe interference are realized.

Description

Technical Field

[0001] The present invention relates to the technical field of signal processing, and in particular to a method for reducing the dimension of four channels of a phased array radar to resist main-side lobe interference. Background Art

[0002] With the increasing application of modern radars in complex electromagnetic environments, phased array radars have become the mainstream choice for high-performance radars due to their advantages, including flexible beam scanning, strong multi-target tracking capabilities, and high reliability. However, in actual operation, phased array radars face the dual challenges of mainlobe interference and sidelobe interference. Mainlobe interference typically occurs when a high-power interference source acts directly in the direction of the radar's mainlobe, characterized by high intensity and instantaneous nature. Sidelobe interference, on the other hand, arises from spatially diffuse low-power interference signals that enter the receiving channel through the antenna's sidelobes, resulting in a decrease in the signal-to-noise ratio and an increase in the false alarm rate.

[0003] While existing technologies have alleviated the interference problem to a certain extent, several key deficiencies remain. First, traditional adaptive algorithms often struggle to effectively distinguish the spatial-spectral characteristics of mainlobe and sidelobe interference in multi-dimensional interference environments, resulting in limited interference suppression effectiveness, especially poor stability when the interference signal changes dynamically. Second, most methods rely on high hardware resource consumption (such as multi-channel receiving structures), which not only increases complexity but also limits their deployment on miniaturized, low-cost platforms. Summary of the Invention

[0004] In view of the above existing problems, the present invention is proposed.

[0005] Therefore, the present invention provides a method for reducing the dimension of a phased array radar four-channel to resist main-sidelobe interference to solve the problems of weak interference discrimination capability and high deployment cost in the prior art.

[0006] In order to solve the above technical problems, the present invention provides the following technical solutions:

[0007] In the first aspect, the present invention provides a method for reducing the dimension of a phased array radar four-channel to resist main-lobe and side-lobe interference, which includes utilizing the non-reciprocal electromagnetic properties of a magnetic monopole metamaterial, generating a virtual phase gradient field through dynamic topological control, and performing non-Abelian quantum interference operations to generate a composite signal of multiple virtual channel signals and quantum vacuum field components; constructing inter-layer entanglement parameters based on the multiple virtual channel signals and the composite signal of the quantum vacuum field components, and retaining the quantum superposition state characteristics with interference correlation through the guidance of the inter-layer entanglement parameters to generate a reduced dimension tensor; constructing a curvature response geodesic projection operator in a hyperbolic Riemann space according to the reduced dimension tensor, and separating the main lobe strong interference and the side lobe diffuse interference through a local interference repulsive field to generate an interference component set; based on the interference component set, establishing a Doppler-azimuth joint manifold in the fractional Fourier transform domain, and calculating the Betti number difference to obtain the coupling strength of the main lobe strong interference and the side lobe diffuse interference; calculating the quantum-electromagnetic coupling coefficient based on the Betti number difference, driving the metamaterial unit to generate an asymmetric voltage distribution, and synchronously suppressing the main lobe strong interference and the side lobe diffuse interference.

[0008] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main and side lobe interference of the present invention, wherein: the non-reciprocal electromagnetic properties of the magnetic monopole metamaterial are utilized to generate a virtual phase gradient field through dynamic topological control, and the specific steps are as follows:

[0009] Applying a non-uniform excitation voltage to the unit array of the magnetic monopole metamaterial to stimulate nonlinear conduction current;

[0010] Based on the nonlinear conduction current, the equivalent wave function value is calculated by coupling quantum-classical dynamics equations, and the virtual phase gradient field is extracted.

[0011] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main-sidelobe interference of the present invention, wherein: the non-Abelian quantum interference operation is performed to generate a composite signal of multiple virtual channel signals and quantum vacuum field components, and the specific steps are as follows:

[0012] A quantum compression projection matrix is ​​constructed based on a virtual phase gradient field, and the signals of the four physical receiving channels are input into the quantum compression projection matrix for projection transformation to generate an intermediate projection signal.

[0013] Performing non-Abelian quantum interference operation on the intermediate projection signal to generate a decoupled signal with spatial decoupling between channels;

[0014] Based on the decoupled signal, multi-channel virtual channel signals are generated through quantum state splitting processing, and the quantum vacuum field component composite signal is output synchronously.

[0015] As a preferred solution of the method for reducing the dimension of four channels of phased array radar to resist main-sidelobe interference of the present invention, the specific steps of generating the reduced dimension tensor are as follows:

[0016] Based on the composite signal of multiple virtual channel signals and quantum vacuum field components, the inter-layer entanglement parameters are generated through non-local integration and topological boundary constraints.

[0017] The inter-layer entanglement parameters are used to drive the quantum state evolution, and the quantum superposition state characteristics of the interference correlation are maintained through the vacuum decoherence suppression mechanism;

[0018] Thermal field compression and multipole logarithmic filtering are performed on the quantum superposition state features to generate a reduced-dimensional tensor.

[0019] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main and side lobe interference of the present invention, the specific steps of generating the interference component set are as follows:

[0020] Map the reduced-dimensional tensor to the hyperbolic Riemann space to generate a hyperbolic space tensor;

[0021] Based on the hyperbolic space tensor, a curvature-responsive geodesic projection operator is constructed through Ricci flow integral and quantum decoherence correction.

[0022] A local interference repulsion field is formed by the combined action of the curvature response geodesic projection operator and the composite signal of the quantum vacuum field component, and the main lobe strong interference and the side lobe diffuse interference are separated to generate a set of interference components.

[0023] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main and sidelobe interference of the present invention, wherein: based on the interference component set, the Doppler-azimuth joint manifold is established in the fractional Fourier transform domain, and the specific steps are as follows:

[0024] performing a quantum-classical hybrid fractional Fourier transform on the set of interference components to generate a quantum fractional spectrum;

[0025] The Riemann curvature radius is calculated based on the local curvature of the quantum fractional spectrum, and a three-dimensional Riemann sphere joint manifold is constructed through conformal mapping.

[0026] Based on the three-dimensional Riemann sphere joint manifold, the target signal manifold is compressed by quantum resonant potential well and the interference component set is rejected to establish a Doppler-azimuth joint manifold.

[0027] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main-side lobe interference of the present invention, wherein: the Betti number difference is calculated to obtain the coupling strength of the main lobe strong interference and the side lobe diffuse interference, the specific steps are as follows:

[0028] Perform continuous coherence analysis based on the Doppler-azimuth joint manifold to extract the barcode lifetime of mainlobe interference and sidelobe interference and calculate the generator direction vector;

[0029] The logarithmic lifetime difference is calculated based on the barcode lifetime and combined with the cross product norm of the generator direction vector to generate the Betti number difference;

[0030] The Betti number difference is mapped into the quantum feedback Hamiltonian, and the coupling strength of the mainlobe strong interference and the sidelobe diffuse interference is obtained by controlling the quantum master equation.

[0031] As a preferred solution of the method for reducing the dimension of the four-channel phased array radar to resist the main and side lobe interference of the present invention, wherein: the quantum-electromagnetic coupling coefficient is calculated based on the Betti number difference, the metamaterial unit is driven to generate an asymmetric voltage distribution, and the strong interference of the main lobe and the diffuse interference of the side lobe are simultaneously suppressed. The specific steps are as follows:

[0032] The quantum-electromagnetic coupling coefficient is calculated based on the difference in Betti numbers and used as the physical equivalent of the coupling strength to drive the metamaterial unit to generate an asymmetric voltage distribution in real time.

[0033] Based on the quantum-electromagnetic coupling coefficient, a non-Hermitian quantum entanglement Hamiltonian is constructed;

[0034] Through the combined effect of asymmetric voltage distribution and non-Hermitian quantum entangled Hamiltonian, strong mainlobe interference and diffuse sidelobe interference are synchronously suppressed.

[0035] In a second aspect, the present invention provides a computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: when the computer program is executed by the processor, any step of the method for reducing the dimension of a phased array radar and combating main-sidelobe interference in four channels is implemented as described in the first aspect of the present invention.

[0036] In a third aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, wherein: when the computer program is executed by a processor, it implements any step of the method for phased array radar dimensionality reduction and four-channel anti-main-sidelobe interference as described in the first aspect of the present invention.

[0037] The beneficial effects of the present invention are as follows: by utilizing the non-reciprocal electromagnetic properties of magnetic monopole metamaterials and combining them with a dynamic topological control mechanism to generate a virtual phase gradient field, the spatial degrees of freedom and resolution are improved under limited hardware resources, effectively coping with the spatial overlap problem of main lobe and side lobe interference in complex electromagnetic environments; further, by constructing inter-layer entanglement parameters and generating a dimensionality reduction tensor with the ability to maintain interference correlation, the synchronous identification and suppression of main lobe and side lobe interference are achieved. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0039] Figure 1 Flowchart of the method for reducing the dimension of four channels to resist main-sidelobe interference for phased array radar.

[0040] Figure 2 Flowchart for generating virtual phase gradient field and quantum interference.

[0041] Figure 3 Flowchart for generating reduced-dimensionality tensors and interference separation in hyperbolic space.

[0042] Figure 4 Flowchart for coupling strength quantification and interference suppression. DETAILED DESCRIPTION

[0043] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the specific embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0044] In the following description, many specific details are set forth to facilitate a full understanding of the present invention. However, the present invention may also be implemented in other ways different from those described herein. Those skilled in the art may make similar generalizations without violating the connotation of the present invention. Therefore, the present invention is not limited to the specific embodiments disclosed below.

[0045] Secondly, the term "one embodiment" or "embodiment" herein refers to a specific feature, structure, or characteristic that may be included in at least one implementation of the present invention. The phrase "in one embodiment" appearing in various places throughout this specification does not necessarily refer to the same embodiment, nor does it refer to a separate or selective embodiment that is mutually exclusive of other embodiments.

[0046] Reference Figures 1 to 4 , is an embodiment of the present invention, which provides a method for reducing the dimension of a phased array radar four-channel to resist main-sidelobe interference, comprising the following steps:

[0047] S1: Utilizing the non-reciprocal electromagnetic properties of magnetic monopole metamaterials, a virtual phase gradient field is generated through dynamic topological control, and non-Abelian quantum interference operations are performed to generate multi-channel virtual channel signals and quantum vacuum field component composite signals.

[0048] S1.1: Apply a non-uniform excitation voltage to the unit cell array of the magnetic monopole metamaterial to stimulate nonlinear conduction current.

[0049] The specific process includes: when a non-uniform excitation voltage is applied to the unit array of the magnetic monopole metamaterial, the nonlinear electromagnetic response characteristics of the magnetic monopole metamaterial cause the nonlinear conduction current to exhibit a non-uniform distribution. The non-uniform excitation voltage forms a potential gradient, which stimulates the carrier transport behavior of the nonlinear conduction current. The equivalent magnetic permeability of the magnetic monopole metamaterial is nonlinearly related to the electric field intensity, and the nonlinear conduction current density produces a spatial modulation effect as the local electric field changes. The anisotropic conductive property causes the nonlinear conduction current to be selectively enhanced in specific lattice directions. The inter-unit coupling effect causes the nonlinear conduction current to exhibit topological characteristics. The nonlinear distribution of the nonlinear conduction current further affects the equivalent dielectric constant tensor, forming a feedback control mechanism. The nonlinear conduction current interacts with the external magnetic field to stimulate the nonlinear conduction current.

[0050] S1.2: Based on the nonlinear conduction current, the equivalent wave function value is calculated by coupling the quantum-classical dynamics equation and extracting the virtual phase gradient field. The expression is:

[0051]

[0052] Among them, ψ represents the equivalent wave function value, N -1 represents the inverse operation of the normalization operator, T represents the space-time integral domain of quantum-coupling, δ represents the functional variation symbol, S represents the quantum action functional, ψ 1 represents the Hermitian conjugate of the equivalent wave function, τ represents the space-time integral variable, ∈0 represents the vacuum dielectric constant, μ0 represents the vacuum permeability, E represents the nonlinear polarization intensity, t represents the time variable, Re represents the real part of the complex number, ψ 0 represents the complex conjugate of the equivalent wave function.

[0053] Where O represents the non-Hermitian coupling operator, and the expression is:

[0054]

[0055] It should be explained that represents the curl operator, μ represents the equivalent magnetic permeability of the magnetic monopole, H represents the magnetic field intensity vector, c represents the speed of light in vacuum, and B represents the electric displacement vector.

[0056] The specific process includes the nonlinear conduction current entering the equivalent wave function calculation stage through the coupled quantum-classical dynamics equation. The nonlinear term in the coupled quantum-classical dynamics equation is directly determined by the nonlinear conduction current characteristics. During the solution process, the spatial distribution characteristics of the nonlinear conduction current are encoded as the boundary conditions of the coupled quantum-classical dynamics equation. The coupled quantum-classical dynamics equation realizes the time domain evolution calculation through the split-step Fourier method. The equivalent wave function is the solution function of the coupled quantum-classical dynamics equation, and it contains mixed information of the quantum state probability amplitude and the classical electromagnetic field. The virtual phase gradient field is extracted through the logarithmic derivative operation of the equivalent wave function. During the extraction process, the quantum phase modulation characteristics of the equivalent wave function are converted into the curvature distribution of the virtual phase gradient field. The final generated virtual phase gradient field fully retains the topological characteristics and quantum-classical coupling effect of the nonlinear conduction current.

[0057] S1.3: Construct a quantum compression projection matrix based on the virtual phase gradient field, input the four physical receiving channel signals into the quantum compression projection matrix for projection transformation, and generate an intermediate projection signal.

[0058] The specific process involves using a virtual phase gradient field to generate a non-uniform phase distribution through dynamic topological control, and then using it to construct a quantum compression projection matrix. The construction of the quantum compression projection matrix utilizes the nonlinear phase modulation capability of the virtual phase gradient field, allowing the elements of the quantum compression projection matrix to exhibit quantum state compression characteristics. After the four physical receiving channel signals are directly input into the quantum compression projection matrix, a projection transformation operation based on the principle of quantum state superposition is performed within the quantum compression projection matrix. During the projection transformation process, the quantum compression projection matrix performs a spatial decoupling operation on the four physical receiving channel signals, eliminating the inter-channel coupling components through the quantum interference effect. The transformed signal is output as an intermediate projection signal, which retains the key characteristics of the four physical receiving channel signals while achieving inter-channel interference suppression.

[0059] The four-physical receiving channel signal refers to the original electromagnetic wave signal synchronously collected by four independent hardware receiving channels in the phased array radar, which is used to achieve target direction finding and interference suppression.

[0060] S1.4: Perform a non-Abelian quantum interference operation on the intermediate projection signal to generate a decoupled signal with spatial decoupling between channels.

[0061] The specific process involves the intermediate projection signal entering a non-Abelian quantum interference operation (QIO) processing stage. This operation utilizes the non-commutative properties of quantum states to transform the intermediate projection signal. During this operation, the quantum state components of the intermediate projection signal interfere according to the algebraic rules of the non-Abelian group. By precisely controlling the parameters of the QIO, the quantum correlations between different channels in the intermediate projection signal are reconfigured. The quantum phase modulation generated by the QIO effectively decouples the spatial coupling between the channels, ultimately outputting a decoupled signal with spatial decoupling characteristics.

[0062] S1.5: Based on the decoupled signal, multiple virtual channel signals are generated through quantum state splitting processing, and the composite signal of the quantum vacuum field components is output synchronously.

[0063] The specific process involves the decoupling signal entering the quantum state splitting processing stage, which decomposes the decoupling signal's quantum state into multiple orthogonal components through nonlinear quantum operations. During the quantum state splitting process, the decoupling signal's quantum state is coherently split along preset paths, with each path generating a virtual channel signal with independent quantum characteristics. The quantum state splitting process simultaneously excites the zero-point fluctuations of the quantum vacuum field, and the composite signal of the quantum vacuum field components becomes quantum entangled with the multiple virtual channel signals. The multiple virtual channel signals maintain the core characteristics of the decoupling signal while achieving path distinguishability. The composite signal of the quantum vacuum field components records the phase fluctuation information during the quantum state splitting process. The final output contains the composite signal of the multiple virtual channel signals and the quantum vacuum field components.

[0064] The preset path is determined according to the quantum interference phase matching conditions pre-set in the quantum state splitting process, and the path parameters are preset by adjusting the height and width of the quantum barrier.

[0065] S2: Based on the composite signal of multiple virtual channel signals and quantum vacuum field components, the inter-layer entanglement parameters are constructed, and guided by the inter-layer entanglement parameters, the quantum superposition state characteristics with interference correlation are retained to generate a reduced-dimensional tensor.

[0066] S2.1: Based on the composite signal of multiple virtual channel signals and quantum vacuum field components, interlayer entanglement parameters are generated through non-local integration and topological boundary constraints.

[0067] The specific process involves the generation of interlayer entanglement parameters using multiple virtual channel signals and the composite signal of quantum vacuum field components. Nonlocal integral operations are applied to the multiple virtual channel signals, extracting quantum correlation characteristics globally. Simultaneously, topological boundary constraints impose geometric constraints on the composite signal of quantum vacuum field components. The nonlocal integral captures the nonclassical correlation characteristics between the multiple virtual channel signals through integration operations across spatial dimensions, while the topological boundary constraints ensure that the composite signal of quantum vacuum field components maintains a stable distribution on a specific geometric manifold. During the computation, the quantum phase modulation information of the multiple virtual channel signals interacts nonlinearly with the zero-point fluctuation patterns of the composite signal of the quantum vacuum field components. These nonlinear interactions, jointly controlled by the nonlocal integral and topological boundary constraints, form a quantum correlation network with cross-layer connectivity. The resulting interlayer entanglement parameters incorporate both the global quantum correlation characteristics of the multiple virtual channel signals and the geometric constraints of the composite signal of the quantum vacuum field components.

[0068] S2.2: Use interlayer entanglement parameters to drive quantum state evolution, and maintain the quantum superposition state characteristics of interference correlation through the vacuum decoherence suppression mechanism.

[0069] The specific process involves the interlayer entanglement parameters acting as the driving force of quantum state evolution, regulating the dynamics of the quantum state through nonlinear coupling. During the quantum state evolution process, the cross-layer correlation information carried by the interlayer entanglement parameters continuously acts on the quantum state wave function, guiding the quantum state wave function to perform phase modulation along a specific path. The vacuum decoherence suppression mechanism synchronously intervenes in the quantum state evolution process, compensating for the phase perturbations caused by environmental noise through the zero-point energy fluctuations of the quantum vacuum field. Under the action of the vacuum decoherence suppression mechanism, the quantum state evolution maintains stable coherence characteristics, ensuring that interference correlations are not destroyed by environmental noise. The interlayer entanglement parameters work in conjunction with the vacuum decoherence suppression mechanism, allowing the quantum superposition state characteristics to be continuously maintained during the evolution process, and the interference correlation information is completely retained in the quantum superposition state characteristics.

[0070] S2.3: Perform thermal field compression and multipole logarithmic filtering on the quantum superposition state features to generate a reduced-dimensional tensor.

[0071] The specific process includes: the quantum superposition state characteristics enter the signal processing stage, the thermal field compression acts on the quantum superposition state characteristics, and the signal dimension is reduced through quantum thermodynamic transformation while retaining key quantum correlation information. During the thermal field compression process, the high-dimensional phase space of the quantum superposition state characteristics is mapped to a low-dimensional manifold, and the compressed quantum superposition state characteristics retain the original interference correlation. The dominant mode in the quantum superposition state characteristics is extracted using the logarithmic transformation characteristics of the multipole logarithmic filter. The multipole logarithmic filter eliminates redundant components through series expansion and truncation operations, highlighting the core interference mode of the quantum superposition state characteristics. Thermal field compression and multipole logarithmic filtering work together to reduce the signal dimension while ensuring that the interference correlation is not destroyed, and ultimately generate a dimensionality reduction tensor containing key interference information.

[0072] S3: According to the dimension reduction tensor, a curvature response geodesic projection operator is constructed in the hyperbolic Riemann space, and the main lobe strong interference and the side lobe diffuse interference are separated by the local interference repulsion field to generate a set of interference components.

[0073] S3.1: Map the reduced-dimensional tensor to a hyperbolic Riemann space to generate a hyperbolic space tensor.

[0074] The specific process involves transforming the reduced-dimensionality tensor into a geometric processing phase via a hyperbolic Riemann space mapping transformation. The negative curvature of hyperbolic Riemann space provides a nonlinear embedding environment for the reduced-dimensionality tensor. During this mapping process, each element of the reduced-dimensionality tensor is repositioned according to the metric rules of hyperbolic Riemann space, forming a hyperbolic space tensor with hyperbolic geometric characteristics.

[0075] S3.2: Based on the hyperbolic space tensor, a curvature-responsive geodesic projection operator is constructed through Ricci flow integral and quantum decoherence correction.

[0076] The specific process includes: the hyperbolic space tensor enters the operator construction stage by virtue of its negative value characteristics; the Ricci flow integral acts on the hyperbolic space tensor; and the curvature response characteristics of the hyperbolic space tensor are extracted through differential geometry transformation. During the Ricci flow integration process, the negative curvature properties of the hyperbolic space tensor are converted into geometric evolution information on the dynamic manifold, and the quantum decoherence correction intervenes synchronously to compensate for the phase distortion caused by the Ricci flow integral. The quantum decoherence correction maintains the coherence characteristics of the hyperbolic space tensor by adjusting the quantum state density matrix. The Ricci flow integral and the quantum decoherence correction work together to transform the geometric characteristics of the hyperbolic space tensor into geodesic projection rules. The curvature response geodesic projection operator finally generated completely retains the negative curvature characteristics of the hyperbolic space tensor, while also having the projection capability of quantum state protection.

[0077] S3.3: A local interference repulsion field is formed by combining the curvature response geodesic projection operator with the composite signal of the quantum vacuum field component, and the main lobe strong interference and the side lobe diffuse interference are separated to generate a set of interference components.

[0078] The specific process includes the curvature-responsive geodesic projection operator and the quantum vacuum field component composite signal working together to enter the interference separation stage. The curvature-responsive geodesic projection operator establishes a projection mapping relationship based on the geometric characteristics of the hyperbolic space tensor, and the quantum vacuum field component composite signal provides quantum state stability support through the zero-point fluctuation effect. During the joint action process, the curvature-responsive geodesic projection operator guides the mainlobe strong interference to the negative curvature region, while the quantum vacuum field component composite signal forms a quantum potential barrier in the positive curvature region. The synergistic effect constructs a local interference repulsion field with selective repulsion characteristics in the signal space. The mainlobe strong interference is attracted by the negative curvature region, while the sidelobe diffuse interference is blocked by the quantum potential barrier. The gradient distribution of the local interference repulsion field realizes the spatial separation of the mainlobe strong interference and the sidelobe diffuse interference, and finally outputs a set of interference components containing two types of independent interference components.

[0079] S4: Based on the set of interference components, a Doppler-azimuth joint manifold is established in the fractional Fourier transform domain, and the Betti number difference is calculated to obtain the coupling strength of the mainlobe strong interference and the sidelobe diffuse interference.

[0080] S4.1: Perform a quantum-classical hybrid fractional Fourier transform on the set of interference components to generate a quantum fractional spectrum.

[0081] The specific process involves the set of interfering components entering the transformation processing stage, where a quantum-classical hybrid fractional-order Fourier transform (QFT) acts simultaneously on the quantum state components and classical signal components of the interfering component set. During the transformation, the quantum state components undergo phase evolution through quantum path integration, while the classical signal components undergo time-frequency rotation according to the rules of the fractional-order Fourier transform (FFT). The QFT maintains the coupling relationship between the quantum state and the classical signal, forming a unified representation in the fractional-order domain. The transformed quantum state phase information is modulated with the spectral characteristics of the classical signal, producing a spectral distribution with quantum interference characteristics. The resulting quantum fractional-order spectrum contains both the quantum correlation characteristics of the interfering component set and the classical spectral structure.

[0082] S4.2: Calculate the Riemann curvature radius based on the local curvature of the quantum fractional spectrum and construct a three-dimensional Riemann sphere joint manifold through conformal mapping. The expression is:

[0083]

[0084] Where a represents the coordinate point of the signal on the manifold, R(a) represents the Riemann curvature radius at coordinate a, k(a) represents the Gaussian curvature at coordinate a, exp represents the natural exponential function, α represents the order of the fractional Fourier transform, and q represents the quantization processing flag. represents the quantum fractional Fourier spectrum, Represents the quantum fractional Fourier spectrum at coordinate a The complex gradient vector of , Q represents the quantum property identifier, represents the variance intensity of quantum noise, λ represents the curvature radius correction coefficient, L represents the polylogarithmic function, β Q represents the quantum fractional state, C represents the Doppler-azimuth asymmetry operator, h represents the reduced Planck constant, and ω0 represents the characteristic angular frequency.

[0085] The specific process includes: the quantum fractional spectrum enters the geometric analysis stage, extracts the differential geometric characteristics of the quantum fractional spectrum, and obtains the curvature distribution of each spectral point through second-order derivative operations. The Riemann curvature radius is derived based on the local curvature calculation results to quantify the degree of curvature of the manifold of the quantum fractional spectrum. Conformal mapping then projects the quantum fractional spectrum with the Riemann curvature radius information into a three-dimensional spherical space, while maintaining the angular relationship unchanged and adjusting the distance between the spectrum points. During the conformal mapping process, the curvature characteristics of the quantum fractional spectrum are converted into height changes on the three-dimensional Riemann sphere, forming a joint manifold representation with a three-dimensional structure. The final constructed three-dimensional Riemann sphere joint manifold completely retains the local curvature characteristics and global topological relationship of the quantum fractional spectrum, while realizing the intuitive visualization of quantum signals in geometric space.

[0086] S4.3: Based on the three-dimensional Riemann sphere joint manifold, the target signal manifold is compressed by the quantum resonant potential well and the set of interference components is rejected to establish a Doppler-azimuth joint manifold.

[0087] The specific process involves the three-dimensional Riemann sphere joint manifold entering the signal optimization phase, and the quantum resonant potential well acting on the three-dimensional Riemann sphere joint manifold to produce a potential energy gradient distribution. The potential field characteristics of the quantum resonant potential well cause the target signal manifold to converge toward the bottom of the quantum resonant potential well on the three-dimensional Riemann sphere, while the set of interfering components is repelled by the potential barrier and diffuses outward. During the compression process, the quantum state of the target signal manifold forms a stable bound state within the quantum resonant potential well, while the quantum state of the set of interfering components is pushed to a high potential energy region. Parameter adjustment of the quantum resonant potential well ensures that the Doppler and azimuthal characteristics of the target signal remain orthogonal after compression. After processing with the quantum resonant potential well, the three-dimensional Riemann sphere joint manifold is reconstructed into a Doppler-azimuthal joint manifold with clear separation characteristics.

[0088] S4.4: Perform continuous coherence analysis based on the Doppler-azimuth joint manifold to extract the barcode lifetime of the mainlobe interference and sidelobe interference, and calculate the generator direction vector, which is expressed as:

[0089]

[0090] Among them, v represents the generator direction vector, D represents the total number of generators, i represents the generator index number, and w i represents the weight of the i-th generator, p i,0represents the coordinates of the death point of the i-th generator, p i,1 Represents the birth point coordinates of the i-th generator.

[0091] The specific process includes the Doppler-azimuth joint manifold entering the topological analysis stage, and the persistence coherence analysis topologically simplifies the Doppler-azimuth joint manifold, retaining the topological structure of the mainlobe interference and sidelobe interference by filtering out low-persistence features. During the persistence coherence analysis process, the topological characteristics of the mainlobe interference and sidelobe interference are quantified as barcode lifetimes, which record the persistence scale range of each topological feature. The generator direction vector is then calculated from the barcode lifetime data, and the direction vector is constructed by extracting the birth-death point coordinates of the topological feature. During the calculation process, the difference in barcode lifetime between the mainlobe interference and the sidelobe interference is converted into the angular separation of the generator direction vector, ensuring that different interference types are distinguishable in vector space. The final generator direction vector fully encodes the topological persistence characteristics and spatial distribution relationship of the mainlobe interference and sidelobe interference.

[0092] S4.5: Calculate the logarithmic lifetime difference based on the barcode lifetime and combine it with the cross product norm of the generator direction vector to generate the Betti number difference. The expression is:

[0093]

[0094] Wherein, Δ represents the logarithmic lifetime difference, log represents the natural logarithmic function, Y0 represents the barcode lifetime with sidelobe interference, and Y1 represents the barcode lifetime with mainlobe interference.

[0095] The specific process includes the following: the barcode lifetime enters the quantization processing stage, and the logarithmic lifetime difference is calculated through natural logarithm operation to calculate the ratio of the barcode lifetime of the mainlobe interference and the sidelobe interference, reflecting the difference in topological persistence of the two types of interference. The generator direction vector is simultaneously subjected to cross product operation, and the cross product norm extracts the modulus of the orthogonal components of the direction vector to characterize the degree of spatial separation of the interference types. The logarithmic lifetime difference and the cross product norm are linearly combined under the framework of algebraic topology. During the combination process, the logarithmic lifetime difference provides a topological persistence measure, and the cross product norm contributes geometric separation information. The calculation result is converted into a Betti number difference, which quantifies the comprehensive difference in topological structure and spatial distribution between the mainlobe interference and the sidelobe interference. The final generated Betti number difference encodes both the topological persistence characteristics and the geometric direction characteristics of the interference type.

[0096] S4.6: Map the Betti number difference into a quantum feedback Hamiltonian, and obtain the coupling strength of the strong mainlobe interference and the diffuse sidelobe interference through the quantum master equation.

[0097] The specific process involves the Betti number difference entering the quantum control stage, and the quantum feedback Hamiltonian converting the Betti number difference into a quantum mechanical operator form through a nonlinear mapping relationship. The construction process of the quantum feedback Hamiltonian strictly maintains the topological geometric information of the Betti number difference, so that the coupling characteristics of the strong mainlobe interference and the diffuse sidelobe interference are converted into quantum potential field parameters. The quantum master equation then intervenes in the control process, acting on the quantum feedback Hamiltonian through the evolution operator to generate a time-varying density matrix. The decoherence term and coherence term of the quantum master equation work together to obtain the coupling strength of the strong mainlobe interference and the diffuse sidelobe interference at the quantum state level.

[0098] S5: The quantum-electromagnetic coupling coefficient is calculated based on the Betti number difference, driving the metamaterial unit to generate an asymmetric voltage distribution and simultaneously suppressing the strong interference of the main lobe and the diffuse interference of the side lobe.

[0099] S5.1: Calculate the quantum-electromagnetic coupling coefficient based on the Betti number difference and use it as the physical equivalent of the coupling strength to drive the metamaterial unit in real time to generate an asymmetric voltage distribution. The expression is:

[0100]

[0101] Where M represents the quantum-electromagnetic coupling coefficient, σ represents the saturation adjustment factor, represents the target offset, γ represents the focus width, δ represents the quantum correction weight, and ζ represents the generalized Riemann function.

[0102] The specific process involves using the Betti number difference to generate the quantum-electromagnetic coupling coefficient through nonlinear transformation. The quantum-electromagnetic coupling coefficient serves as the physical equivalent parameter for the coupling strength between the strong mainlobe interference and the diffuse sidelobe interference. The quantum-electromagnetic coupling coefficient instantaneously drives the metamaterial unit to perform a voltage configuration operation. During the configuration process, the amplitude gradient characteristics of the quantum-electromagnetic coupling coefficient are converted into spatial voltage differences within the metamaterial unit. The voltage distribution is generated strictly following the asymmetric function relationship defined by the quantum-electromagnetic coupling coefficient, so that each metamaterial unit obtains an excitation voltage value that matches the coupling strength distribution. The resulting asymmetric voltage distribution accurately corresponds to the spatial coupling characteristics of the strong mainlobe interference and the diffuse sidelobe interference.

[0103] S5.2: Construct a non-Hermitian quantum entanglement Hamiltonian based on the quantum-electromagnetic coupling coefficient.

[0104] The specific process includes: the quantum-electromagnetic coupling coefficient enters the Hamiltonian construction stage, and a non-Hermitian quantum entanglement Hamiltonian is generated from the quantum-electromagnetic coupling coefficient through matrix transformation. The coupling strength information carried by the quantum-electromagnetic coupling coefficient is encoded as the non-Hermitian quantum entanglement Hamiltonian off-diagonal elements, and the diagonal elements are determined by the amplitude of the quantum-electromagnetic coupling coefficient. During the construction process, the real part of the quantum-electromagnetic coupling coefficient forms the Hermitian component of the non-Hermitian quantum entanglement Hamiltonian, and the imaginary part constitutes the non-Hermitian component. The eigenvalue spectrum of the non-Hermitian quantum entanglement Hamiltonian shows a complex distribution characteristic, with the real part representing the energy eigenvalue and the imaginary part representing the quantum state decay rate. The non-Hermitian quantum entanglement Hamiltonian finally constructed completely retains the interference coupling information contained in the quantum-electromagnetic coupling coefficient.

[0105] S5.3: Synchronously suppress strong mainlobe interference and diffuse sidelobe interference through the combined action of asymmetric voltage distribution and non-Hermitian quantum entangled Hamiltonian.

[0106] The specific process involves the coordinated entry of the asymmetric voltage distribution and the non-Hermitian quantum entangled Hamiltonian into the interference suppression phase. The asymmetric voltage distribution modulates the electromagnetic response characteristics of the metamaterial unit through the spatial gradient electric field, while the non-Hermitian quantum entangled Hamiltonian controls the energy transfer path of the interference component through quantum state evolution. At the physical level, the asymmetric voltage distribution creates a phase mismatch region of strong mainlobe interference and an amplitude attenuation region of diffuse sidelobe interference. At the quantum level, the non-Hermitian quantum entangled Hamiltonian constructs a dissipation channel for strong mainlobe interference and a decoherence path for diffuse sidelobe interference. During this combined action, the spatial modulation of the asymmetric voltage distribution and the temporal evolution of the non-Hermitian quantum entangled Hamiltonian are coupled. The strong mainlobe interference is repelled by the voltage gradient field and undergoes quantum state dissipation, while the diffuse sidelobe interference is absorbed by the voltage attenuation field and undergoes quantum decoherence. Ultimately, the simultaneous suppression of strong mainlobe interference and diffuse sidelobe interference is achieved across all dimensions in the spatial, temporal, and quantum domains.

[0107] This embodiment also provides a computer device, which is suitable for the method of reducing the dimension of a phased array radar into four channels to resist main-sidelobe interference, including: a memory and a processor; the memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions to implement the method of reducing the dimension of a phased array radar into four channels to resist main-sidelobe interference as proposed in the above embodiment.

[0108] The computer device may be a terminal, comprising a processor, a memory, a communication interface, a display screen and an input device connected via a system bus. The processor of the computer device is used to provide computing and control capabilities. The memory of the computer device comprises a non-volatile 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 the operating system and the computer program in the non-volatile storage medium. The communication interface of the computer device is used to communicate with an external terminal in a wired or wireless manner, and the wireless manner may be achieved through WIFI, an operator network, NFC (near field communication) or other technologies. The display screen of the computer device may be a liquid crystal display or an electronic ink display screen, and the input device of the computer device may be a touch layer covering the display screen, or a button, trackball or touchpad provided on the housing of the computer device, or an external keyboard, touchpad or mouse.

[0109] This embodiment also provides a storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for implementing four-channel dimensionality reduction and main-sidelobe interference resistance of a phased array radar as proposed in the above embodiment; the storage medium can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as static random access memory (SRAM), electrically erasable programmable read-only memory (EEPROM), erasable programmable read-only memory (EPROM), programmable read-only memory (PROM), read-only memory (ROM), magnetic memory, flash memory, magnetic disk or optical disk.

[0110] In summary, the present invention utilizes the non-reciprocal electromagnetic properties of monopole metamaterials and combines them with a dynamic topological control mechanism to generate a virtual phase gradient field, thereby improving the spatial freedom and resolution capability under limited hardware resources, and effectively dealing with the spatial overlap problem of mainlobe and sidelobe interference in complex electromagnetic environments; further, by constructing inter-layer entanglement parameters and generating a dimensionality reduction tensor with the ability to maintain interference correlation, the synchronous identification and suppression of mainlobe and sidelobe interference are achieved.

[0111] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that the technical solutions of the present invention may be modified or replaced by equivalents without departing from the spirit and scope of the technical solutions of the present invention, which should all be included in the scope of the claims of the present invention.

Claims

1. A method for reducing the dimension of four channels in a phased array radar to combat main-sidelobe interference, characterized by: include, By utilizing the non-reciprocal electromagnetic properties of magnetic monopole metamaterials, a virtual phase gradient field is generated through dynamic topological control, and non-Abelian quantum interference operations are performed to generate multi-path virtual channel signals and quantum vacuum field component composite signals. Based on the composite signal of multiple virtual channel signals and quantum vacuum field components, the inter-layer entanglement parameters are constructed, and guided by the inter-layer entanglement parameters, the quantum superposition state characteristics with interference correlation are retained to generate a reduced-dimensional tensor; According to the dimension reduction tensor, a curvature response geodesic projection operator is constructed in the hyperbolic Riemann space, and the main lobe strong interference and the side lobe diffuse interference are separated by the local interference repulsion field to generate a set of interference components. Based on the set of interference components, a Doppler-azimuth joint manifold is established in the fractional Fourier transform domain, and the Betti number difference is calculated to obtain the coupling strength of the mainlobe strong interference and the sidelobe diffuse interference. The quantum-electromagnetic coupling coefficient is calculated based on the Betti number difference, driving the metamaterial unit to generate an asymmetric voltage distribution and simultaneously suppressing the strong interference of the main lobe and the diffuse interference of the side lobe.

2. The method for reducing the dimension of a phased array radar four-channel to combat main-sidelobe interference as claimed in claim 1, characterized in that: The non-reciprocal electromagnetic properties of the magnetic monopole metamaterial are utilized to generate a virtual phase gradient field through dynamic topological control. The specific steps are as follows: Applying a non-uniform excitation voltage to the unit array of the magnetic monopole metamaterial to stimulate nonlinear conduction current; Based on the nonlinear conduction current, the equivalent wave function value is calculated by coupling quantum-classical dynamics equations, and the virtual phase gradient field is extracted.

3. The method for reducing the dimension of a phased array radar four-channel to combat main-sidelobe interference as claimed in claim 2, characterized in that: The non-Abelian quantum interference operation is performed to generate a multi-channel virtual channel signal and a quantum vacuum field component composite signal. The specific steps are as follows: A quantum compression projection matrix is ​​constructed based on a virtual phase gradient field, and the signals of the four physical receiving channels are input into the quantum compression projection matrix for projection transformation to generate an intermediate projection signal. Performing non-Abelian quantum interference operation on the intermediate projection signal to generate a decoupled signal with spatial decoupling between channels; Based on the decoupled signal, multi-channel virtual channel signals are generated through quantum state splitting processing, and the quantum vacuum field component composite signal is output synchronously.

4. The method for reducing the dimension of a phased array radar four-channel to combat main-sidelobe interference as claimed in claim 3, characterized in that: The specific steps of generating the dimensionality reduction tensor are as follows: Based on the composite signal of multiple virtual channel signals and quantum vacuum field components, the inter-layer entanglement parameters are generated through non-local integration and topological boundary constraints. The inter-layer entanglement parameters are used to drive the quantum state evolution, and the quantum superposition state characteristics of the interference correlation are maintained through the vacuum decoherence suppression mechanism; Thermal field compression and multipole logarithmic filtering are performed on the quantum superposition state features to generate a reduced-dimensional tensor.

5. The method for reducing dimension of four channels in a phased array radar to combat main-sidelobe interference as claimed in claim 4, characterized in that: The specific steps of generating the interference component set are as follows: Map the reduced-dimensional tensor to the hyperbolic Riemann space to generate a hyperbolic space tensor; Based on the hyperbolic space tensor, a curvature-responsive geodesic projection operator is constructed through Ricci flow integral and quantum decoherence correction. A local interference repulsion field is formed by the combined action of the curvature response geodesic projection operator and the composite signal of the quantum vacuum field component, and the main lobe strong interference and the side lobe diffuse interference are separated to generate a set of interference components.

6. The method for reducing dimension of four channels in a phased array radar to combat main-sidelobe interference as claimed in claim 5, characterized in that: The Doppler-azimuth joint manifold is established in the fractional Fourier transform domain based on the interference component set. The specific steps are as follows: performing a quantum-classical hybrid fractional Fourier transform on the set of interference components to generate a quantum fractional spectrum; The Riemann curvature radius is calculated based on the local curvature of the quantum fractional spectrum, and a three-dimensional Riemann sphere joint manifold is constructed through conformal mapping. Based on the three-dimensional Riemann sphere joint manifold, the target signal manifold is compressed by quantum resonant potential well and the interference component set is rejected to establish a Doppler-azimuth joint manifold.

7. The method for reducing dimension of four channels in a phased array radar to combat main-sidelobe interference as claimed in claim 6, characterized in that: The Betti number difference is calculated to obtain the coupling strength of the main lobe strong interference and the side lobe diffuse interference. The specific steps are as follows: Perform continuous coherence analysis based on the Doppler-azimuth joint manifold to extract the barcode lifetime of mainlobe interference and sidelobe interference and calculate the generator direction vector; The logarithmic lifetime difference is calculated based on the barcode lifetime and combined with the cross product norm of the generator direction vector to generate the Betti number difference; The Betti number difference is mapped into the quantum feedback Hamiltonian, and the coupling strength of the mainlobe strong interference and the sidelobe diffuse interference is obtained by controlling the quantum master equation.

8. The method for reducing dimension of four channels in a phased array radar to combat main-sidelobe interference as claimed in claim 7, characterized in that: The quantum-electromagnetic coupling coefficient is calculated based on the Betti number difference, the metamaterial unit is driven to generate an asymmetric voltage distribution, and the strong interference of the main lobe and the diffuse interference of the side lobe are simultaneously suppressed. The specific steps are as follows: The quantum-electromagnetic coupling coefficient is calculated based on the difference in Betti numbers and used as the physical equivalent of the coupling strength to drive the metamaterial unit to generate an asymmetric voltage distribution in real time. Based on the quantum-electromagnetic coupling coefficient, a non-Hermitian quantum entanglement Hamiltonian is constructed; Through the combined effect of asymmetric voltage distribution and non-Hermitian quantum entangled Hamiltonian, strong mainlobe interference and diffuse sidelobe interference are synchronously suppressed.

9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the method for phased array radar dimensionality reduction four-channel anti-main-sidelobe interference according to any one of claims 1 to 8 are implemented.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method for reducing the dimension of a phased array radar four-channel and combating main-sidelobe interference are implemented as described in any one of claims 1 to 8.

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