Dual-antenna positioning method based on the inseparable spatiotemporal characteristics of electromagnetic flying rings

Abstract

This invention discloses a dual-antenna positioning method based on the spatiotemporally inseparable characteristics of electromagnetic flying rings, belonging to the field of spatiotemporally inseparable electromagnetic pulse technology. The method first utilizes two electromagnetic flying ring generator antennas located at different spatial positions to emit two electromagnetic flying rings in a three-dimensional space. Then, the arrival time, spectrum, and polarization of the electromagnetic flying rings at different spatial positions are measured, and the measurement data is stored to establish a spatial location information database. Subsequently, the arrival time, spectrum, and polarization at the target location are measured, and the data are compared with the information in the database to calculate parameters such as the degree of temporal entanglement, thus obtaining the three-dimensional spatial coordinates of the target location. This invention provides ideas and methods for simplifying existing multi-point positioning techniques and developing new electromagnetic pulse applications, and has significant research value.

Description

Technical Field

[0001] This invention belongs to the field of space-time inseparable electromagnetic pulse technology, specifically relating to a dual-antenna positioning method based on the space-time inseparable characteristics of electromagnetic flying rings. Background Technology

[0002] Based on radio wave (primarily microwave) technology, humans have achieved wide-range, high-precision, and multifunctional positioning technologies, which are widely used in daily life. Examples include the Global Positioning System (GPS), cellular wireless positioning systems, radar systems, indoor positioning systems, and medical positioning systems. In addition, laser-based ray positioning, ultrasound-based acoustic positioning, and image processing-based visual positioning also play roles in their respective fields. Compared to other positioning technologies, radio frequency (RF) signal-based positioning technologies are less harmful to the human body, faster, easier to deploy, more resistant to interference, have higher performance, and lower cost, making them more widely applicable and valuable. Specifically, GPS is widely used in navigation, detection, and control; cellular wireless positioning systems are mainly used in emergency calls, intelligent transportation, and network optimization; radar systems are mainly used in military applications such as navigation, reconnaissance, and guidance; indoor positioning systems are mainly used for location services such as navigation, food delivery, and control; and medical electromagnetic positioning systems are mainly used for surgical guidance.

[0003] Radio frequency (RF) signal-based positioning technologies almost always require multiple transmitting or receiving points to acquire all location information; this is called multi-point (three-point or higher) positioning technology. For example, satellite positioning systems use the tri-sphere principle, constructing spheres with the satellite as the center and the distance from the satellite to the target object as the radius. With three satellites, three spheres can be constructed, obtaining a unique intersection point to complete the positioning. Similarly, phased array radar systems use array antennas, transmitting and receiving electromagnetic waves at different angles through multiple antenna elements to acquire all location information, which is also a form of multi-point positioning. Other existing positioning technologies also fall under the category of multi-point positioning. Multi-point positioning implies complex radio systems and complex signal processing, resulting in high design, manufacturing, operation, and maintenance costs, and limiting the application scope of multi-point positioning systems.

[0004] In recent years, electromagnetic flying rings, as a novel type of electromagnetic wave with many unique properties, have attracted widespread attention from the academic community. The wave equation of electromagnetic flying rings is spatially and temporally inseparable; their spectrum varies with spatial location; they possess a non-diffraction propagation segment; they interact strongly with matter; and they exhibit a strong longitudinal field component along their propagation axis. These characteristics suggest that electromagnetic flying rings have high-performance potential applications in target localization, wireless communication, energy transfer, super-resolution imaging, particle excitation, and particle acceleration. However, there is currently no research on localization technology based on electromagnetic flying rings. Summary of the Invention

[0005] The purpose of this invention is to overcome the shortcomings of the prior art and provide a dual-antenna positioning method based on the spatial and temporal inseparable characteristics of electromagnetic flying rings.

[0006] The technical problem addressed by this invention is solved as follows:

[0007] A dual-antenna positioning method based on the spatiotemporal inseparability of electromagnetic flying rings is proposed. First, two electromagnetic flying ring generator antennas located at different spatial positions are used to transmit two electromagnetic flying rings in a three-dimensional space. Then, the three-dimensional space is gridded, and the arrival time, spectrum, and polarization of the electromagnetic flying rings at different spatial positions are measured and stored to establish a spatial position information database. Finally, the arrival time, spectrum, and polarization at the target position are measured and compared with the measurement information at each spatial position in the spatial position information database to calculate the temporal entanglement degree, thereby determining the three-dimensional spatial coordinates of the target position.

[0008] The method of the present invention includes the following steps:

[0009] Step 1: Use two electromagnetic flying ring generators located at different spatial positions to generate two electromagnetic flying rings in a three-dimensional space.

[0010] Step 2: Mesh the three-dimensional space and measure the arrival time t of the electromagnetic flying ring at each grid point (i,j,k). ijk Spectrum P ijk and polarization POL ijk , where i, j and k represent the grid counts of the three-dimensional spatial grid along the x-axis, y-axis and z-axis, respectively;

[0011] Step 3: Calculate the arrival time t of the electromagnetic flying ring at each three-dimensional spatial grid point. ijk Spectrum P ijk and polarization POL ijk Stored in a spatial location information database, i.e., each group (t) ijk ,P ijk POL ijk () corresponds to the three-dimensional coordinates of a spatial location;

[0012] Step 4: Measure the arrival time t of the electromagnetic flying ring at the target location. target Spectrum P target and polarization POL target ;

[0013] Step 5, (t) target ,P target POL target ) and the three-dimensional spatial grids in the spatial location information database (t ijk ,P ijk POLijk By calculating and comparing the temporal entanglement degree, the three-dimensional spatial coordinates of the target position are obtained.

[0014] Furthermore, in step 1, the electromagnetic flying ring generator, as an electromagnetic flying ring transmitting device, requires the antenna signal source to modulate the time-domain waveform to conform to the analytical formula of the electromagnetic flying ring.

[0015] Furthermore, in step 1, the analytical expression for the TM electromagnetic flying ring is:

[0016]

[0017]

[0018]

[0019] Among them, H θ E represents the magnetic field in the θ direction in cylindrical coordinates. ρ Let E be the electric field in the ρ direction in cylindrical coordinates. z Let ρ be the electric field in the z-direction in cylindrical coordinates, i' represent the imaginary unit, f0 represent the real constant, (ρ,θ,z) represent the cylindrical coordinates, q1 and q2 are real positive adjustable parameters, c is the speed of light, t is time, τ = z - ct, σ = z + ct, μ0 is the permeability of free space, and ε0 is the permittivity of free space.

[0020] Furthermore, the specific process of step 5 is as follows:

[0021] Calculate the spectrum P of the target location measurement respectively. target The spectrum P of each three-dimensional spatial grid in the spatial location information database ijk The degree of spectral temporal entanglement between them (DoE) P :

[0022]

[0023] Calculate the polarization POL of the target position measurement respectively target Polarization POL of each three-dimensional spatial grid in the spatial location information database ijk The degree of entanglement between polarization time states (DoE) POL :

[0024]

[0025] Take the temporal entanglement degree DoE of the spectrum P The maximum value of max(DoE) P ) and polarization time-state entanglement degree DoE POL The maximum value of max(DoE) POL The corresponding array (t') in the spatial location information database ijk ,P'ijk ,POL' ijk ), array (t' ijk ,P' ijk ,POL' ijk The corresponding location is used as the target location.

[0026] Furthermore, in step 5, determine t target and t' ijk If the difference between the values ​​is less than a set threshold, then the obtained location of the target is determined to be accurate.

[0027] The beneficial effects of this invention are:

[0028] The dual-antenna positioning method based on the spatiotemporal inseparability of electromagnetic flying rings, as described in this invention, introduces the concept of quantum entanglement into the study of the physical properties of electromagnetic flying rings. The degree of entanglement is used to explain and quantify the spatiotemporal inseparability of the electromagnetic flying rings, allowing the location information corresponding to the spectrum to be obtained by comparing the differences in the spectrum of different spatial points of the electromagnetic flying rings, thereby completing the positioning of that spatial point. This method utilizes the spatiotemporal inseparability of electromagnetic flying rings and their spectral distribution characteristics that vary with spatial location to achieve three-dimensional spatial positioning by emitting electromagnetic pulses from only two points, greatly simplifying existing multi-point positioning systems. Attached Figure Description

[0029] Figure 1 This is a schematic diagram illustrating the principle of the dual-antenna positioning method described in this invention;

[0030] Figure 2 This is a schematic diagram of ring positioning based on the electromagnetic flying ring spectrum;

[0031] Figure 3 This is a schematic diagram of linear positioning based on electromagnetic flying ring polarization;

[0032] Figure 4 This is a schematic diagram of the single-antenna positioning principle based on electromagnetic flying rings;

[0033] Figure 5 This is a schematic diagram of the dual-antenna positioning principle based on electromagnetic flying rings.

[0034] Figure 6 This is a schematic diagram of the geometric positioning principle of a double sphere based on an electromagnetic flying ring.

[0035] Figure 7 This is a schematic diagram of the three-dimensional spatial meshing method described in this invention;

[0036] Figure 8 This is a flowchart of the dual-antenna positioning calculation based on the inseparable spatiotemporal characteristics of electromagnetic flying rings as described in this invention;

[0037] Figure 9This is an example diagram of dual-antenna positioning based on the inseparable spatiotemporal characteristics of electromagnetic flying rings, as described in the embodiment. Detailed Implementation

[0038] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0039] This embodiment provides a dual-antenna positioning method based on the spatiotemporal inseparability of electromagnetic flying rings. First, two electromagnetic flying ring generator antennas located at different spatial positions are used to transmit two electromagnetic flying rings in a three-dimensional space. Then, the arrival time, spectrum, and polarization of the electromagnetic flying rings at different spatial positions are measured, and the measurement data is stored to establish a spatial position information database. Subsequently, the arrival time, spectrum, and polarization at the target position are measured, and the temporal entanglement degree is calculated and compared with the information in the database. The three-dimensional spatial coordinates of the target position are obtained based on the comparison results.

[0040] The principle of the method described in this embodiment is as follows:

[0041] like Figure 1 As shown, two electromagnetic flying ring generators generate two electromagnetic flying rings in three-dimensional space, forming multiple positioning tracks: including three circular positioning tracks and two linear positioning tracks; among them, circular positioning tracks 1 and 2 are based on the spectrum principle of electromagnetic flying rings, linear positioning tracks 1 and 2 are based on the polarization principle of electromagnetic flying rings, and circular positioning track 3 is based on the double-sphere geometry principle. Figure 1 The explanation is divided into three parts: the principle of circular positioning based on the electromagnetic flying ring spectrum ( Figure 2 , 4 5) Linear positioning principle based on electromagnetic flying ring polarization ( Figure 3 , 4 5) The principle of dual-sphere geometric positioning based on electromagnetic flying rings ( Figure 6 ).

[0042] A schematic diagram of ring positioning based on the electromagnetic ring spectrum is shown below. Figure 2 As shown; the positioning principle based on the electromagnetic flying ring spectrum originates from the spatiotemporal inseparability of the electromagnetic flying ring. The analytical expression of the TM electromagnetic flying ring is:

[0043]

[0044]

[0045]

[0046] Among them, H θ E represents the magnetic field in the θ direction in cylindrical coordinates. ρ Let E be the electric field in the ρ direction in cylindrical coordinates. zLet ρ be the electric field in the z-direction in cylindrical coordinates, i' represent the imaginary unit, f0 represent the real constant, (ρ,θ,z) represent the cylindrical coordinates, q1 and q2 are real positive adjustable parameters, c is the speed of light, t is time, τ = z - ct, σ = z + ct, μ0 is the permeability of free space, and ε0 is the permittivity of free space.

[0047] As a transmitting antenna, the electromagnetic flying ring generator requires adjusting q1, q2, and ρ in the electromagnetic flying ring expression based on the antenna frequency band and size to obtain the time-domain waveform of the transmitting antenna signal source. Because the analytical expression of the electromagnetic flying ring cannot separate the spatial variable r=(ρ,θ,z) and the time variable t using the method of separation of variables—that is, its field equation cannot be written in either a spatial field form omitting the time variable or a temporal field form omitting the spatial variable—this characteristic is called spacetime inseparability.

[0048] Introducing the concept of quantum entanglement into the field of electromagnetic fields, the two degrees of freedom of space and time are defined as two states. By measuring and calculating the degree of entanglement between these two entangled states, the strength of the spatiotemporal inseparability is determined. The greater the degree of entanglement, the closer the spatiotemporal connection, and thus the stronger the spatiotemporal inseparability.

[0049] Because of the inseparability of space and time, the electromagnetic field at each location in space changes differently over time. From a frequency domain perspective, this means the spectral distribution of the electromagnetic ring changes with its spatial location. Therefore, different spatial locations can be distinguished by comparing their spectra. For example... Figure 2 As shown, the electromagnetic flying ring is represented by a double-ring structure, and its propagation domain (i.e., the coverage area of ​​the electromagnetic pulse) is represented by a trapezoidal region. By measuring the spectrum of the target spatial point in the propagation domain of the electromagnetic flying ring and calculating the temporal entanglement degree (DoE) with the spectrum of each point in the spatial range, the spatial position of that point can be locked onto a ring region; for example, as... Figure 2 As shown, spectral localization can determine which of the three ring regions, "a", "b", and "c", the point is located in. The expression for the spectral temporal entanglement degree is:

[0050]

[0051] Here, {ψ1} and {ψ2} represent the spectra of two spatial points, and the superscript T indicates transpose.

[0052] A schematic diagram of linear positioning based on electromagnetic flying ring polarization is shown below. Figure 3 As shown; when considering only the polarization of the electric field component on the plane perpendicular to the propagation axis of the electromagnetic flying ring, it is radially polarized, that is, the polarization direction of the electric field component is along the radial direction of the electromagnetic flying ring on that plane, as shown. Figure 3The solid line arrows with letter numbers are shown. By measuring the electric field polarization of the target spatial point, the spatial location of that point can be locked onto a straight-line region; for example, as... Figure 3 As shown, polarimetric positioning can determine which of the following lines the point is located on: the line containing arrow "a", the line containing arrow "b", the line containing arrow "c", the line containing arrow "d", or the line containing arrow "e".

[0053] Combining electromagnetic flying ring spectrum positioning and polarization positioning, such as Figure 4 As shown, the gray area represents the coverage area of ​​the electromagnetic fly-ring emitted by the antenna. Using only one electromagnetic fly-ring generator, by simultaneously measuring the spectrum and polarization of the target spatial point, it can be determined that the point is located at the intersection of "ring positioning" and "linear positioning" (two triangular regions "a" and "b"). To distinguish which triangular region the target spatial point is located in, an additional electromagnetic fly-ring generator is added (a total of two electromagnetic fly-ring generators, i.e., dual antennas), as shown... Figure 5 As shown, by simultaneously measuring the spectrum and polarization of the target spatial point, the target spatial point can be located in the unique common intersection region (triangular region "b") of the four "circular positioning 1, 2" and "linear positioning 1, 2".

[0054] Furthermore, in order to improve positioning accuracy, such as Figure 6 As shown, a positioning principle based on dual-sphere geometry is introduced; that is, the spatial coordinates of electromagnetic ring generators 1 and 2 are used to determine the target spatial point by measuring the times t1 and t2 when the signal arrives at the target spatial point from transmitting antennas 1 and 2. This allows the target spatial point to be located on the annular region where two spheres intersect, centered on electromagnetic ring generators 1 and 2 and with radii c×t1 and c×t2 respectively (e.g., Figure 6 As shown by the circular dashed line, or as... Figure 1 (As shown in "Ring Positioning 3"). Finally, combining the previous electromagnetic flying ring spectrum positioning and polarization positioning, the area where the target spatial point is located is narrowed down, improving positioning accuracy.

[0055] In summary, as Figure 1 As shown, by combining the spectrum positioning, polarization positioning, and dual-sphere geometric positioning of the electromagnetic flying ring, the dual-antenna positioning method based on the spatiotemporal inseparability of the electromagnetic flying ring described in this invention can accurately find the three-dimensional spatial coordinates of the target location.

[0056] The method described in this embodiment specifically includes the following steps:

[0057] Step 1: Two electromagnetic flying rings are generated in a three-dimensional space using two electromagnetic flying ring generators located at different spatial positions. The electromagnetic flying ring generator serves as an electromagnetic flying ring transmitting device, which is an antenna designed according to different frequency bands, sizes, electromagnetic flying ring characteristics, etc. At the same time, the antenna signal source needs to modulate the time domain waveform to make it conform to the electromagnetic flying ring theoretical formula.

[0058] Step 2, as follows Figure 7 As shown, the three-dimensional space is gridded, and the arrival time t of the electromagnetic flying ring at each grid point is measured. ijk Spectrum P ijk and polarization POL ijk , where i, j and k represent the grid counts of the three-dimensional spatial grid along the x-axis, y-axis and z-axis, respectively;

[0059] Step 3: Calculate the arrival time t of the electromagnetic flying ring at each three-dimensional spatial grid point. ijk Spectrum P ijk and polarization POL ijk Stored in a spatial location information database, i.e., each group (t) ijk ,P ijk POL ijk () corresponds to the three-dimensional coordinates of a spatial location;

[0060] Step 4: The target, acting as a positioning partner, uses its onboard receiver to measure the arrival time t of the electromagnetic flying ring at the target's location. target Spectrum P target and polarization POL target ;

[0061] Step 5, as follows Figure 8 As shown, (t) target ,P target POL target ) and the three-dimensional spatial grids in the spatial location information database (t ijk ,P ijk POL ijk By comparing the coordinates of the target location, the three-dimensional spatial coordinates of the target location can be obtained.

[0062] The specific process of step 5 is as follows:

[0063] Calculate the spectrum P of the target location measurement respectively. target The spectrum P of each three-dimensional spatial grid in the spatial location information database ijk The degree of spectral temporal entanglement between them (DoE) P :

[0064]

[0065] Calculate the polarization POL of the target position measurement respectively target Polarization POL of each three-dimensional spatial grid in the spatial location information database ijk The degree of entanglement between polarization time states (DoE) POL :

[0066]

[0067] Take the temporal entanglement degree DoE of the spectrum P The maximum value of max(DoE) P ) and polarization time-state entanglement degree DoE POL The maximum value of max(DoE) POL The corresponding array (t') in the spatial location information database ijk ,P' ijk ,POL' ijk ), array (t' ijk ,P' ijk ,POL' ijk The corresponding location is used as the target location;

[0068] Furthermore, determine t target and t' ijk If the difference between the values ​​is less than a set threshold, then the location of the target obtained by the method described in this embodiment is determined to be accurate.

[0069] More specifically, to demonstrate the effectiveness of the method described in this invention, an arbitrary point (position 5 in this embodiment) is selected in three-dimensional space as the target position, and the arrival time t of the electromagnetic flying ring at that point is measured. target Spectrum P target and polarization POL target Target localization is performed according to the method described in step 5, and the visualization results are as follows: Figure 9 As shown. Figure 9 In the process, the ring positioning and linear positioning based on the electromagnetic flying ring of transmitting antenna 2 include the calculation of time-state entanglement degree and polarization coincidence degree to lock the target position in the black dashed square "1-20". The window represents the time-state entanglement degree on the plane determined by polarization. Since polarization determines the plane where the target position is located, and the positions "1-20" on this plane all have a large time-state entanglement degree, the positions "1-20" on this plane are the possible spatial range of the target position. At this time, according to the time-state entanglement degree and polarization entanglement degree of the electromagnetic flying ring based on transmitting antenna 1, the range "1-20" is narrowed down to "5", that is, the positioning target position obtained by the method described in this embodiment is "5". Finally, according to the arrival time of the electromagnetic flying rings of transmitting antennas 1 and 2, it is determined that the target position is accurately located at position 5.

[0070] The positioning results obtained using the method described in this embodiment are consistent with the theoretical results, verifying the feasibility and effectiveness of the dual-antenna positioning method based on the spatiotemporal inseparability of electromagnetic flying rings described in this invention.

Claims

1. A dual-antenna positioning method based on electromagnetic flyby space-time inseparability characteristics, characterized in that, The method comprises the following steps: Step 1, generating two electromagnetic flying rings in a three-dimensional space range by using two electromagnetic flying ring generators at different spatial positions; Step 2, the three-dimensional space is gridded, and the electromagnetic flyer time of arrival t at each three-dimensional space grid point (i, j, k) is measured ijk , frequency spectrum P ijk , and polarization POL ijk , where i, j, and k represent the grid count of the three-dimensional space grid on the x-axis, y-axis, and z-axis, respectively; Step 3: electromagnetic flyby time of arrival t ijk , frequency spectrum P ijk , and polarization POL ijk are stored into a spatial location information database, i.e. each set of (t ijk , P ijk , POL ijk ) corresponds to a three-dimensional coordinate of a spatial location; Step 4, measuring the electromagnetic flyby time of arrival t at the target location target , the spectrum P target and the polarization POL target ; Step 5, calculate the time entanglement of (t target , P target , POL target ) and (t ijk , P ijk , POL ijk ) of each three-dimensional space grid in the spatial position information database, and obtain the three-dimensional spatial position coordinates of the target position by comparison. The specific process of step 5 is: The spectral time entanglement DoE between the spectrum P of the target position measurement target and the spectrum P of each three-dimensional spatial grid in the spatial position information database ijk is calculated respectively P : polarization POL between the target position measurement target and the spatial position information database of each three-dimensional spatial grid ijk polarization time-state entanglement DoE POL : The maximum max(DoE P ) of the spectral time-state entanglement degree DoE P and the maximum max(DoE POL ) of the polarization time-state entanglement degree DoE POL correspond to the array (t' ijk , P' ijk , POL' ijk ) in the spatial position information database, and the position corresponding to the array (t' ijk , P' ijk , POL' ijk ) is taken as the positioning target position.

2. The dual-antenna positioning method based on electromagnetic flying time-space inseparable characteristics according to claim 1, characterized in that, The electromagnetic flying ring generator serves as an electromagnetic flying ring launching device, and the antenna signal source needs to modulate the time-domain waveform so as to be consistent with the analytical expression of the electromagnetic flying ring.

3. The dual-antenna positioning method based on the electromagnetic flying time-space inseparable characteristic according to claim 2, characterized in that, The analytical expression of the TM electromagnetic flying ring is: where H θ is the magnetic field in the θ direction in the cylindrical coordinate system, E ρ is the electric field in the ρ direction in the cylindrical coordinate system, E z is the electric field in the z direction in the cylindrical coordinate system, i' represents an imaginary unit, f0 represents a real constant, (ρ, θ, z) are the coordinates of the cylindrical coordinate system, q1 and q2 are real positive adjustable parameters, c is the speed of light, t is time, τ = z - ct, σ = z + ct, μ0 is the vacuum permeability, and ε0 is the vacuum permittivity.

4. The dual-antenna positioning method based on electromagnetic flying time-space inseparable characteristics according to claim 1, characterized in that, After step 5, the following operation is also performed: judging whether the difference between t target and t' ijk is less than a set threshold, and if yes, determining that the acquired positioning target position is accurate.

Images