Ground wave position parameter estimation method and device and storage medium

Abstract

The invention provides a ground beam position parameter estimation method and device and a storage medium, and the method comprises the steps: determining a space half-power beam position ellipse of a target beam according to a vertical plane of the target beam, and enabling the space half-power beam position ellipse to be the space ellipse of the target beam; based on the intersection point coordinates of the space straight line, the space half-power wave position ellipse and the spherical surface of the earth, determining the edge point coordinates of the ground wave position corresponding to the target wave beam; and estimating ground beam position parameters of the target beam based on the edge point coordinates to obtain a beam position center point and a ground beam position area, the beam position center point being an intersection point of the target beam and the earth surface, and the ground beam position area being a coverage area of the target beam on the earth surface. The invention provides a specific estimation method for the ground wave position parameters corresponding to the satellite wave beams, the rapid updating of the satellite ground wave position parameters is realized, and the computing resources are saved.

Description

Technical Field

[0001] This disclosure relates to the field of wireless technology, and in particular to a method, apparatus and storage medium for estimating ground wavelet parameters. Background Technology

[0002] In communication systems, when low-Earth orbit satellite internet achieves ground coverage of on-orbit base station satellite signals through multi-beam phased array antennas, it is necessary to estimate the beam position parameters on the Earth's surface in order to plan the satellite network. The spatial coverage area formed by each beam is called the "beam position," which is the projection of the three-dimensional beam onto the two-dimensional Earth's surface.

[0003] However, there is no method for estimating ground wave potential parameters in the relevant technologies, so there is an urgent need for a method for estimating ground wave potential parameters. Summary of the Invention

[0004] The present disclosure provides a method, apparatus, and storage medium for estimating ground wave potential parameters.

[0005] According to a first aspect of the present disclosure, a method for estimating ground wave potential parameters is provided, the method comprising:

[0006] Based on the vertical plane of the target beam, the spatial half-power wave position ellipse of the target beam is determined, wherein the spatial half-power wave position ellipse is the spatial ellipse of the target beam.

[0007] Based on the coordinates of the intersection of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's sphere, the coordinates of the edge point of the ground wave position corresponding to the target beam are determined.

[0008] The ground wave position parameters of the target beam are estimated based on the coordinates of the edge points to obtain the wave position center point and the ground wave position area. The wave position center point is the intersection point of the target beam and the Earth's surface, and the ground wave position area is the coverage area of ​​the target beam on the Earth's surface.

[0009] Optionally, in this embodiment of the disclosure, determining the spatial half-power ellipse of the target beam based on the vertical plane of the target beam includes:

[0010] Determine the half-power ellipse parameters of the target beam, wherein the half-power ellipse parameters are the planar ellipse corresponding to the target beam;

[0011] Based on the target pointing coordinates of the target beam, determine the vertical plane equation of the target beam;

[0012] By combining the half-power ellipse parameters with the vertical plane equation, the parametric equation of the spatial half-power wave position ellipse is obtained.

[0013] Optionally, in this embodiment of the disclosure, determining the half-power elliptic parameters of the target beam includes:

[0014] Based on the pitch and azimuth angles of the target beam velocity, determine the coordinates of the center point of the target beam;

[0015] Based on the half-power beamwidth of the target beam in the first and second planes, the major axis parameters and minor axis parameters are determined.

[0016] Based on the center point coordinates, the major axis parameter, and the minor axis parameter, the half-power ellipse parameter of the target beam in the phased array antenna parameter model is determined.

[0017] Optionally, in this embodiment of the disclosure, determining the vertical plane equation of the target beam based on the target pointing coordinates of the target beam includes:

[0018] Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam;

[0019] Based on the spatial coordinate points, determine the normal vector of the vertical plane of the target beam;

[0020] Based on the normal vector and the spatial coordinate points, the equation of the vertical plane of the target beam is obtained.

[0021] Optionally, in this embodiment of the disclosure, determining the edge point coordinates of the ground wave position corresponding to the target beam based on the coordinates of the intersection of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's surface includes:

[0022] Determine the spatial line parametric equation corresponding to the straight line drawn from the origin to the spatial half-power wavepotential ellipse;

[0023] The equation of the Earth's sphere is determined based on the orbital altitude and spherical radius of the phased array antenna;

[0024] By combining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere, the coordinates of the edge point of the ground wavefront corresponding to the target beam are obtained.

[0025] Optionally, in this embodiment of the disclosure, estimating the ground precession parameters of the target beam based on the edge point coordinates to obtain the precession center point and the ground precession area includes:

[0026] The ground wavefront ellipse of the target beam is estimated based on the coordinates of the edge points to obtain the equation of the ground wavefront ellipse corresponding to the target beam.

[0027] The ground wavefront parameters of the target beam are estimated based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area.

[0028] Optionally, in this embodiment of the disclosure, estimating the ground wavefront ellipse of the target beam based on the edge point coordinates to obtain the equation of the ground wavefront ellipse corresponding to the target beam includes:

[0029] The ground wave position ellipse is estimated based on the coordinates of the edge points to obtain the ground wave position ellipse plotting curve;

[0030] Select the coordinates of multiple target points in the ground wave position ellipse plotting curve;

[0031] Based on the coordinates of the multiple target points, the equation of the ground wave position ellipse corresponding to the target beam is obtained.

[0032] Optionally, in this embodiment of the disclosure, estimating the ground potential parameters of the target beam based on the ground potential ellipse equation to obtain the potential center point and the ground potential area includes:

[0033] Based on the phased array elevation angle of the target beam in the phased array antenna parameter model, the geocentric angle is determined;

[0034] Based on the geocentric angle, the elevation angle, and the phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, the beam center point is obtained.

[0035] Based on the aforementioned ground wave potential ellipse equation, determine the corresponding ellipse area;

[0036] The ground wave potential area is obtained based on the area of ​​the ellipse and the geocentric angle.

[0037] According to a second aspect of the present disclosure, a ground potential parameter estimation apparatus is provided, the apparatus comprising:

[0038] The first determining module is used to determine the spatial half-power wavefront ellipse of the target beam based on the vertical plane of the target beam, wherein the spatial half-power wavefront ellipse is the spatial ellipse of the target beam.

[0039] The second determining module is used to determine the coordinates of the edge point of the ground wave position corresponding to the target beam based on the coordinates of the intersection point of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's sphere.

[0040] The estimation module is used to estimate the ground wave position parameters of the target beam based on the coordinates of the edge points, and to obtain the wave position center point and the ground wave position area, wherein the wave position center point is the intersection point of the target beam and the Earth's surface, and the ground wave position area is the coverage area of ​​the target beam on the Earth's surface.

[0041] Optionally, in this embodiment of the disclosure, the first determining module is specifically used for:

[0042] Determine the half-power ellipse parameters of the target beam, wherein the half-power ellipse parameters are the planar ellipse corresponding to the target beam;

[0043] Based on the target pointing coordinates of the target beam, determine the vertical plane equation of the target beam;

[0044] By combining the half-power ellipse parameters with the vertical plane equation, the parametric equation of the spatial half-power wave position ellipse is obtained.

[0045] Optionally, in this embodiment of the disclosure, the first determining module is further configured to:

[0046] Based on the pitch and azimuth angles of the target beam velocity, determine the coordinates of the center point of the target beam;

[0047] Based on the half-power beamwidth of the target beam in the first and second planes, the major axis parameters and minor axis parameters are determined.

[0048] Based on the center point coordinates, the major axis parameter, and the minor axis parameter, the half-power ellipse parameter of the target beam in the phased array antenna parameter model is determined.

[0049] Optionally, in this embodiment of the disclosure, the first determining module is further configured to:

[0050] Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam;

[0051] Based on the spatial coordinate points, determine the normal vector of the vertical plane of the target beam;

[0052] Based on the normal vector and the spatial coordinate points, the equation of the vertical plane of the target beam is obtained.

[0053] Optionally, in this embodiment of the disclosure, the second determining module is specifically used for:

[0054] Determine the spatial line parametric equation corresponding to the straight line drawn from the origin to the spatial half-power wavepotential ellipse;

[0055] The equation of the Earth's sphere is determined based on the orbital altitude and spherical radius of the phased array antenna;

[0056] By combining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere, the coordinates of the edge point of the ground wavefront corresponding to the target beam are obtained.

[0057] Optionally, in this embodiment of the disclosure, the estimation module is specifically used for:

[0058] The ground wavefront ellipse of the target beam is estimated based on the coordinates of the edge points to obtain the equation of the ground wavefront ellipse corresponding to the target beam.

[0059] The ground wavefront parameters of the target beam are estimated based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area.

[0060] Optionally, in this embodiment of the disclosure, the estimation module is further configured to:

[0061] The ground wave position ellipse is estimated based on the coordinates of the edge points to obtain the ground wave position ellipse plotting curve;

[0062] Select the coordinates of multiple target points in the ground wave position ellipse plotting curve;

[0063] Based on the coordinates of the multiple target points, the equation of the ground wave position ellipse corresponding to the target beam is obtained.

[0064] Optionally, in this embodiment of the disclosure, the estimation module is further configured to:

[0065] Based on the phased array elevation angle of the target beam in the phased array antenna parameter model, the geocentric angle is determined;

[0066] Based on the geocentric angle, the elevation angle, and the phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, the beam center point is obtained.

[0067] Based on the aforementioned ground wave potential ellipse equation, determine the corresponding ellipse area;

[0068] The ground wave potential area is obtained based on the area of ​​the ellipse and the geocentric angle.

[0069] According to a third aspect of the present disclosure, an electronic device is provided, comprising:

[0070] processor;

[0071] Memory used to store processor-executable instructions;

[0072] The processor is configured to implement the steps in the method described in the first aspect above.

[0073] According to a fourth aspect of the present disclosure, a non-transitory computer-readable storage medium is provided, the computer storage medium storing computer-executable instructions; the computer-executable instructions, when executed by a processor, are capable of implementing the steps in the method described in the first aspect above.

[0074] According to a fifth aspect of the present disclosure, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps of the method described in the first aspect above.

[0075] The technical solutions provided by the embodiments of this disclosure may include the following beneficial effects:

[0076] This disclosure presents a method, apparatus, and storage medium for estimating ground wavefront parameters. The method includes: determining the spatial half-power wavefront ellipse of the target beam based on its vertical plane, wherein the spatial half-power wavefront ellipse is the spatial ellipse of the target beam; determining the coordinates of the edge points corresponding to the ground wavefront of the target beam based on the coordinates of the intersection of a spatial straight line, the spatial half-power wavefront ellipse, and the Earth's surface; and estimating the ground wavefront parameters of the target beam based on the edge point coordinates to obtain the wavefront center point and the ground wavefront area, wherein the wavefront center point is the intersection of the target beam and the Earth's surface, and the ground wavefront area is the coverage area of ​​the target beam on the Earth's surface. Therefore, this disclosure provides a specific method for estimating the ground wavefront parameters corresponding to a satellite beam, enabling rapid updates of satellite ground wavefront parameters and saving computational resources.

[0077] It should be understood that the above general description and the following detailed description are exemplary and explanatory only, and are not intended to limit this disclosure. Attached Figure Description

[0078] The accompanying drawings, which are incorporated in and form a part of this specification, illustrate embodiments consistent with this disclosure and, together with the description, serve to explain the principles of this disclosure.

[0079] Figure 1 This is a schematic flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of the present disclosure;

[0080] Figure 2 This is a schematic diagram of a phased array antenna parameter model and coordinate system according to some embodiments of the present disclosure;

[0081] Figure 3 This is a schematic diagram of a sinusoidal spatial projection of a beam half-power ellipse according to some embodiments of the present disclosure;

[0082] Figure 4 This is a schematic flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of the present disclosure;

[0083] Figure 5 This is a schematic diagram illustrating the formation of a half-power ellipse according to some embodiments of the present disclosure;

[0084] Figure 6 This is a schematic cross-sectional view illustrating some embodiments of the present disclosure;

[0085] Figure 7 This is a schematic flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of the present disclosure;

[0086] Figure 8 This is a schematic flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of the present disclosure;

[0087] Figure 9 This is a schematic flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of the present disclosure;

[0088] Figure 10 This is a schematic diagram illustrating the relationship between pitch angle θ, ground elevation angle, and geocentric angle α according to some embodiments of this disclosure;

[0089] Figure 11 This is a schematic diagram illustrating a ground wave potential area estimation according to some embodiments of the present disclosure;

[0090] Figure 12 This is a schematic diagram of simulation results of a ground wave potential parameter estimation method according to some embodiments of the present disclosure;

[0091] Figure 13 This is a schematic diagram of a ground wave potential parameter estimation device according to some embodiments of the present disclosure;

[0092] Figure 14 This is a block diagram illustrating an electronic device suitable for performing a ground wave potential parameter estimation method according to some embodiments of the present disclosure. Detailed Implementation

[0093] Some embodiments of this disclosure will now be described in detail, examples of which are illustrated in the accompanying drawings. When the following description refers to the drawings, unless otherwise indicated, the same numbers in different drawings denote the same or similar elements. Various changes, modifications, and equivalents of the methods, apparatus, and / or systems described herein will become apparent upon understanding this disclosure. For example, the order of operations described herein is merely illustrative and is not limited to those orders set forth herein, but can be changed as will become apparent upon understanding this disclosure, except for operations that must be performed in a particular order. Furthermore, for clarity and brevity, descriptions of features known in the art may be omitted.

[0094] The embodiments described in the following examples of this disclosure are not representative of all embodiments consistent with this disclosure. Rather, they are merely examples of apparatuses and methods consistent with some aspects of this disclosure as detailed in the appended claims.

[0095] In related technologies, research focuses on the wavefront problem in radar, such as the specific angular range of the airspace covered by the radar and the angular resolution within that range. However, the application scenario of low-Earth orbit (LEO) satellite internet is to provide services to terrestrial users. Therefore, it is necessary to determine the ground wavefront parameters corresponding to the phased array antennas of LEO satellite internet in order to plan the satellite network based on these ground wavefront parameters.

[0096] According to the mathematical model of a phased array antenna, when the beam of a planar phased array deviates from its normal direction, the beam will broaden, and the shape of the corresponding ground wavefront will change. Furthermore, as the beam azimuth angle changes, the originally broadened ground wavefront will also exhibit a rotation around its center, further increasing the difficulty of estimating ground wavefront parameters. Based on this, this disclosure proposes a method for estimating ground wavefront parameters for low-Earth orbit satellite internet.

[0097] Figure 1 This is a flowchart illustrating a method for estimating ground wave potential parameters according to some embodiments of this disclosure, such as... Figure 1 As shown, the method may include the following steps:

[0098] Step 101: Determine the spatial half-power ellipse of the target beam based on the vertical plane of the target beam.

[0099] It should be noted that the execution subject of the above-mentioned ground wave potential parameter estimation method is a ground wave potential parameter estimation device, which can be implemented by software and / or hardware. In this embodiment, the ground wave potential parameter estimation device can be configured in an electronic device.

[0100] In this example embodiment, the electronic device may include devices such as terminal devices and servers, and this embodiment does not limit the electronic device.

[0101] In this embodiment of the disclosure, the above-mentioned ground wave potential parameter estimation method starts from sinusoidal space. Based on this, it is necessary to establish a phased array antenna parameter model and coordinate system (sinusoidal space) in order to determine the ground wave potential parameters corresponding to the beam. Figure 2 This is a schematic diagram of the phased array antenna parameter model and coordinate system in an embodiment of this disclosure.

[0102] like Figure 2As shown, in the phased array antenna parameter model, the phased array elevation angle θ is the angle between the line connecting the origin O to the spatial point P and the positive direction of the Z-axis, and the azimuth angle... Let OP' be the angle between the projection of the line connecting the origin O to the spatial point P onto the XOY plane and the positive X-axis. dx is the interphase spacing of the phased array in the X direction, and dy is the interphase spacing of the phased array in the Y direction.

[0103] In this embodiment of the disclosure, the target beam can be a normal beam.

[0104] In this embodiment of the disclosure, the method for determining the spatial half-power ellipse of the target beam based on the vertical plane of the target beam may include: determining the half-power ellipse parameters of the target beam, determining the vertical plane equation of the target beam based on the target pointing coordinates of the target beam, and combining the half-power ellipse parameters with the vertical plane equation to obtain the parametric equation of the spatial half-power ellipse.

[0105] In this embodiment of the disclosure, the projection of the half-power ellipse of a beam on a unit sphere onto a sinusoidal spatial coordinate system is an ellipse. Specifically, Figure 3 This is a schematic diagram of the sinusoidal spatial projection of a beam half-power ellipse according to an embodiment of this disclosure. Figure 3 As shown, pointing to The target beam, the center of the half-power ellipse of the target beam intersects the unit sphere at point C, and this half-power ellipse is another ellipse in sinusoidal space, that is, its projection onto the phased array plane, the center point of the projected ellipse is C', and the coordinates are (u0, v0). The first formula corresponding to the projected ellipse is:

[0106]

[0107] Where a is the length of the semi-axis of the ellipse in the X direction, and b is the length of the semi-axis of the ellipse in the Y direction.

[0108] In this embodiment of the disclosure, the half-power ellipse of the normal beam is the same as its projection ellipse in sinusoidal space. Based on this, the corresponding half-power ellipse can be determined by the projection ellipse of the normal beam in sinusoidal space.

[0109] In this embodiment of the disclosure, when the target beam changes, its projection ellipse in sinusoidal space can be translated to the projection ellipse corresponding to the normal beam, and the ellipse parameters remain unchanged. Based on this, the projection ellipse of other beams in sinusoidal space is determined by the projection ellipse of the normal beam in sinusoidal space.

[0110] In this embodiment, the aforementioned half-power ellipse is a two-dimensional planar ellipse corresponding to the target beam. In this case, it is necessary to supplement the half-power ellipse with the corresponding z-axis coordinate value based on the vertical plane of the target beam to obtain the actual three-dimensional coordinates of the corresponding spatial half-power ellipse. This part will be described in detail in subsequent embodiments.

[0111] Step 102: Based on the coordinates of the intersection of the spatial straight line, the spatial half-power wavefront ellipse, and the Earth's surface, determine the coordinates of the edge point of the ground wavefront corresponding to the target beam.

[0112] In this embodiment of the disclosure, after obtaining the parametric equation of the spatial half-power wavefront ellipse through the above steps, the coordinates of the edge point of the ground wavefront corresponding to the target beam can be determined based on the coordinates of the intersection of the spatial straight line, the spatial half-power wavefront ellipse, and the Earth's surface.

[0113] In this embodiment of the disclosure, the method for determining the edge point coordinates of the ground position corresponding to the target beam based on the coordinates of the intersection of a spatial straight line, a spatial half-power ellipse, and the Earth's sphere may include: determining the parametric equation of the spatial straight line corresponding to the straight line drawn from the origin to the spatial half-power ellipse; determining the Earth's sphere equation based on the orbital height and spherical radius of the phased array antenna; and simultaneously solving the parametric equations of the spatial straight line, the spatial half-power ellipse, and the Earth's sphere to obtain the edge point coordinates of the ground position corresponding to the target beam. This part will be described in detail in subsequent embodiments.

[0114] Step 103: Estimate the ground wavefront parameters of the target beam based on the edge point coordinates to obtain the wavefront center point and ground wavefront area.

[0115] In this embodiment of the disclosure, after obtaining the edge point coordinates of the ground precession corresponding to the target beam through the above steps, the ground precession parameters of the target beam can be estimated based on the edge point coordinates to obtain the precession center point and the ground precession area, so as to plan the satellite network through the precession center point and the ground precession area.

[0116] In this embodiment of the disclosure, the aforementioned wave position center point is the intersection point of the target beam and the Earth's surface, and the aforementioned ground wave position area is the coverage area of ​​the target beam on the Earth's surface.

[0117] In this embodiment of the disclosure, the method for estimating the ground precession parameters of the target beam based on the edge point coordinates to obtain the precession center point and the ground precession area may include the following steps:

[0118] Step 1031: Estimate the ground wave position ellipse of the target beam based on the coordinates of the edge points to obtain the equation of the ground wave position ellipse corresponding to the target beam.

[0119] Step 1032: Estimate the ground wavefront parameters of the target beam based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area.

[0120] In this embodiment, after obtaining the ground potential ellipse equation corresponding to the target beam through the above steps, the ground potential area can be obtained based on the angle between the ground potential ellipse equation and the half-power ellipse parameters. This part will be described in subsequent embodiments.

[0121] In this embodiment of the disclosure, after obtaining the ground precession point and ground precession area corresponding to the ground precession parameters of the target beam through the above steps, the satellite network can be planned, networked, and optimized based on the ground precession point and ground precession area.

[0122] In this embodiment of the disclosure, the calculation process of the above-mentioned ground wave position parameter estimation method is relatively simple, which reduces a lot of computation and enables the satellite to update the wave position quickly, thereby realizing other upper-layer functions based on the ground wave position.

[0123] This disclosure proposes a method for estimating ground wavefront parameters. The method includes: determining the spatial half-power wavefront ellipse of the target beam based on its vertical plane, wherein the spatial half-power wavefront ellipse is the spatial ellipse of the target beam; determining the coordinates of the edge points corresponding to the ground wavefront of the target beam based on the coordinates of the intersection of the spatial straight line, the spatial half-power wavefront ellipse, and the Earth's surface; and estimating the ground wavefront parameters of the target beam based on the edge point coordinates to obtain the wavefront center point and the ground wavefront area, wherein the wavefront center point is the intersection of the target beam and the Earth's surface, and the ground wavefront area is the coverage area of ​​the target beam on the Earth's surface. Therefore, this disclosure provides a specific method for estimating the ground wavefront parameters corresponding to a satellite beam, enabling rapid updates of satellite ground wavefront parameters and saving computational resources.

[0124] In this embodiment of the disclosure, as a detailed explanation of step 101, such as Figure 4 As shown, it may also include:

[0125] Step 1011: Determine the half-power ellipse parameters of the target beam.

[0126] In this embodiment of the disclosure, the method for determining the half-power elliptic parameters of the target beam may include the following steps:

[0127] Step 10111: Determine the coordinates of the center point of the target beam based on the elevation and azimuth angles of the target beam.

[0128] In this embodiment of the disclosure, the method for determining the center point coordinates of a target beam based on its elevation and azimuth angles may include: converting the target beam's elevation and azimuth angles using a second formula to obtain the center point coordinates of the target beam, wherein the second formula is:

[0129]

[0130] Where (u0, v0) are the coordinates of the center point of the target beam, and θ is the elevation angle. This is the azimuth angle.

[0131] In this embodiment of the disclosure, the pitch angle and azimuth angle can be converted into (u0, v0) coordinate points in sinusoidal space using the second formula described above.

[0132] Step 10112: Determine the major axis parameters and minor axis parameters based on the half-power beamwidth of the target beam in the first and second planes.

[0133] In this embodiment of the disclosure, the first plane can be an XOZ plane and the second plane can be a YOZ plane.

[0134] In this embodiment of the disclosure, the half-power beamwidth can be the angle formed by connecting two half-power points and the antenna phase center (or reference point).

[0135] In this embodiment of the disclosure, the method for determining the major axis parameter and the minor axis parameter based on the half-power beamwidth of the target beam in the first and second planes may include: determining the major axis parameter using a third formula based on the half-power beamwidth of the target beam in the XOZ plane, and determining the minor axis parameter using a fourth formula based on the half-power beamwidth of the target beam in the YOZ plane, wherein the third formula is: The fourth formula is: a is the major axis parameter, b is the minor axis parameter, HPBW X The target beamwidth in the XOZ plane is the half-power beamwidth. HPBW Y The target beamwidth in the YOZ plane is the half-power beamwidth. λ is the wavelength of the signal transmitted by the antenna, m is the number of elements in the X-axis direction of the antenna array, and n is the number of elements in the Y-axis direction of the antenna array.

[0136] Step 10113: Based on the center coordinates, major axis parameters, and minor axis parameters, determine the half-power ellipse parameters of the target beam in the phased array antenna parameter model.

[0137] In this embodiment of the disclosure, after obtaining the center coordinates, major axis parameters and minor axis parameters through the above steps, the projection ellipse of the target beam in the phased array antenna parameter model can be determined based on the center coordinates, major axis parameters and minor axis parameters through the above first formula. Then, after element decomposition, the half-power ellipse parameters of the target beam in the phased array antenna parameter model are obtained.

[0138] In this embodiment of the disclosure, the half-power elliptic parameter of the target beam in the phased array antenna parameter model is given by the fifth formula, wherein the fifth formula is:

[0139]

[0140] Where t is the angle in [0, 2π).

[0141] Step 1012: Determine the vertical plane equation of the target beam based on the target pointing coordinates of the target beam.

[0142] In this embodiment of the disclosure, the target pointing coordinates of the target beam are (u0, v0).

[0143] In this embodiment of the disclosure, after obtaining the half-power ellipse parameters through the above steps, the parametric equation of the spatial half-power ellipse can be determined based on the target pointing coordinates of the target beam using the half-power ellipse parameters.

[0144] In this embodiment of the disclosure, the above-mentioned half-power ellipse is a two-dimensional planar graphic. It is necessary to supplement the Z-axis coordinate value of the sinusoidal spatial ellipse to obtain the three-dimensional actual coordinate value of the corresponding spatial half-power wave position ellipse.

[0145] In this embodiment of the disclosure, the beam half-power bandwidth is the beamwidth corresponding to a 3dB decrease in the maximum beam gain. Based on this, if a plane perpendicular to the beam centerline is drawn through the -3dB point on the beam centerline, the contour line intersecting this plane with the outer edge of the beam is the beam half-power ellipse, i.e. Figure 3 Ellipse C in the diagram. Figure 5 This is a schematic diagram of a half-power ellipse formation according to an embodiment of this disclosure. Figure 5 As shown, the gray vertical plane is the vertical plane of the beam centerline, and the outline of the intersection of the vertical plane and the outer edge of the beam is the half-power ellipse of the beam.

[0146] In this embodiment of the disclosure, it can be Figure 3 The Z-axis polarity is flipped, and the cross-sectional views of the sinusoidal spatial ellipse C', the spatial half-power ellipse C, and the corresponding ground wave potential CE are shown in the figure. Figure 6 As shown, this is for subsequent analysis.

[0147] In this embodiment of the disclosure, the method for determining the vertical plane equation of the beam half-power point passing through the target beam based on the target pointing coordinates of the target beam may include the following steps:

[0148] Step 10121: Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam.

[0149] In this embodiment of the disclosure, such as Figure 6 As shown, OC is the normal vector, so OC = 1, and the ordinate OA of point C is cosθ. Based on this, the three-dimensional coordinates of point C are (u0, v0, cosθ), which means that the spatial coordinates corresponding to the target pointing coordinates of the target beam are (u0, v0, cosθ).

[0150] Step 10122: Determine the normal vector of the vertical plane of the target beam based on the spatial coordinate points.

[0151] In this embodiment of the disclosure, based on the aforementioned spatial coordinate points, the normal vector of the target beam's vertical plane can be determined as follows: It is (-u0, -v0, -cosθ).

[0152] Step 10123: Based on the normal vector and spatial coordinate points, determine the vertical plane equation of the beam half-power point passing through the target beam.

[0153] In this embodiment of the disclosure, the equation of the spatial plane is shown in the sixth formula, wherein the sixth formula is:

[0154] Ax + By + Cz + D = 0

[0155] Where A, B, C, and D are constant coefficients, and x, y, and z are three-dimensional coordinates.

[0156] In this embodiment of the disclosure, the method for determining the vertical plane equation of the beam half-power point of the target beam based on the normal vector and spatial coordinate points may include: obtaining the constant coefficients of the vertical plane equation based on the normal vector and spatial coordinate points, and obtaining the vertical plane equation of the beam half-power point of the target beam based on the constant coefficients.

[0157] In this embodiment, the normal vector (-u0, -v0, -cosθ) and the spatial coordinate point (u0, v0, cosθ) both lie on the vertical plane. Based on this, substituting the normal vector and the spatial coordinate point into the plane equation of the sixth formula above, we obtain the coefficient D = u0. 2 +v0 2 +(cosθ) 2 Furthermore, the normal vector can correspond to coefficients A = -u0, B = -v0, and C = -cosθ.

[0158] In this embodiment of the disclosure, based on the aforementioned constant coefficients, the vertical plane equation of the beam half-power point of the target beam is obtained as shown in the seventh formula, wherein the seventh formula is:

[0159]

[0160] Step 1013: Combine the half-power ellipse parameters with the vertical plane equation to obtain the parametric equation of the spatial half-power wavepotential ellipse.

[0161] In this embodiment of the disclosure, after obtaining the half-power ellipse parameters and the vertical plane equation through the above steps, the half-power ellipse parameters and the vertical plane equation can be combined to obtain the parametric equation of the spatial half-power wave position ellipse.

[0162] In this embodiment of the disclosure, substituting the fifth formula into the seventh formula yields the ordinate z as shown in the eighth formula, where the eighth formula is:

[0163]

[0164] In this embodiment of the disclosure, based on the above steps and through the fifth and eighth formulas, the parametric equation of the spatial half-power wavefront ellipse is obtained as shown in the ninth formula, wherein the ninth formula is:

[0165]

[0166] In this embodiment of the disclosure, after determining the spatial half-power ellipse of the target beam through the above steps, the coordinates of the edge points of the ground position corresponding to the target beam can be determined based on the spatial half-power ellipse of the target beam. Then, the ground position parameters of the target beam can be estimated based on the edge point coordinates to obtain the position center point and the ground position area, thereby planning the satellite network.

[0167] In this embodiment of the disclosure, as a detailed explanation of step 102, such as Figure 7 As shown, it may also include:

[0168] Step 1021: Determine the parametric equation of the spatial line corresponding to the line drawn from the origin to the spatial half-power wave potential ellipse.

[0169] In this embodiment of the disclosure, after obtaining the spatial half-power wave position ellipse through the above embodiments, the spatial linear parameter equation corresponding to the straight line drawn from the origin to the spatial half-power wave position ellipse can be determined, so as to obtain the discrete wave position on the ground through the spatial linear parameter equation.

[0170] Specifically, in this embodiment of the disclosure, the three-dimensional coordinates of a point on the spatial half-power wavefront ellipse C are obtained through the above-mentioned ninth formula. At this time, a straight line is drawn from the origin O to any point (x1, y1, z1) on the spatial half-power wavefront ellipse C, and the resulting spatial straight line parametric equation is shown in the tenth formula, where the tenth formula is:

[0171]

[0172] like Figure 6 As shown, both lines OP' and OQ' in the figure satisfy the aforementioned spatial linear parametric equations. Furthermore, extending OP' to intersect the Earth's surface at point P, and similarly extending OQ' to intersect the Earth's surface at point Q, points P and Q are the two points on the ground wavefront. Based on this, if a sufficient number of points are taken on the spatial half-power wavefront ellipse C, and all points are processed in the same way as OP' and OQ', a discrete wavefront can be obtained on the ground.

[0173] Step 1022: Determine the equation of the Earth's sphere based on the orbital altitude and spherical radius of the phased array antenna.

[0174] In this embodiment of the disclosure, such as Figure 6 As shown, the Earth's surface is described as a sphere. The orbital altitude OF of the phased array antenna is h, the Earth's center is point E, and the sphere's radius FE is Re.

[0175] In this embodiment of the disclosure, the method for determining the Earth's spherical equation based on orbital altitude and spherical radius may include: determining the coordinates of the center point based on orbital altitude and spherical radius, and determining the Earth's spherical equation based on the coordinates of the center point and spherical radius.

[0176] In this embodiment of the disclosure, based on the above-mentioned orbital height h and spherical radius Re, the coordinates of the Earth's center point E are (0, 0, h+Re).

[0177] In this embodiment of the disclosure, the formula satisfied by the sphere is shown in the eleventh formula, wherein the eleventh formula is:

[0178] (x-x0) 2 +(y-y0) 2 +(z-z0) 2 =r 2

[0179] Where (x0, y0, z0) are the coordinates of the center point of the sphere, and r is the radius of the sphere.

[0180] In this embodiment of the disclosure, Figure 6 The coordinates of the Earth's center point E on the Earth's sphere shown are (0, 0, h+Re), and the radius of the sphere is Re. Let z... e=h+Re, the coordinates of the Earth's center point E are (0, 0, z). e Given the spherical radius Re, we input it into the eleventh formula above, and the resulting equation for the Earth's sphere is shown in the twelfth formula, where the twelfth formula is:

[0181] x 2 +y 2 +(zz e ) 2 =R e 2

[0182] Step 1023: Combine the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere to obtain the coordinates of the edge point of the ground wavefront corresponding to the target beam.

[0183] In this embodiment of the disclosure, after obtaining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wave position ellipse, and the equation of the Earth's sphere through the above steps, the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wave position ellipse, and the equation of the Earth's sphere can be combined to obtain the coordinates of the edge point of the ground wave position corresponding to the target beam.

[0184] In this embodiment of the disclosure, the method for obtaining the coordinates of the edge point of the ground position corresponding to the target beam by simultaneously solving the parametric equation of the spatial straight line, the parametric equation of the spatial half-power wave position ellipse, and the equation of the Earth's sphere may include: substituting the parametric equation of the spatial straight line into the equation of the Earth's sphere to obtain the intersection point of the parametric equation of the spatial straight line and the equation of the Earth's sphere, and substituting the coordinates of the intersection point and the parametric equation of the spatial half-power wave position ellipse into the parametric equation of the spatial straight line to obtain the coordinates of the edge point of the ground position corresponding to the target beam.

[0185] In this embodiment of the disclosure, the tenth formula of the spatial linear parametric equation is substituted into the twelfth formula of the Earth's sphere equation to obtain a quadratic equation as shown in the thirteenth formula, wherein the thirteenth formula is:

[0186]

[0187] The coefficients of the aforementioned quadratic equation are shown in the fourteenth formula, which is:

[0188]

[0189] Furthermore, the intersection points t1 and t2 of the above-mentioned spatial linear parametric equation and the Earth's sphere equation are shown in the fifteenth formula, where the fifteenth formula is:

[0190]

[0191] In this embodiment of the disclosure, substituting the fifteenth formula for the intersection point coordinates and the ninth formula for the parametric equation of the spatial half-power wavepotential ellipse into the tenth formula for the parametric equation of the spatial straight line simultaneously yields the corresponding coordinates, that is, the coordinates of the intersection point of the straight line defined by OP' and the point when it passes through the Earth's surface, as shown in the sixteenth formula, where the sixteenth formula is:

[0192]

[0193] In this embodiment of the disclosure, the point with the smaller z-coordinate among the two intersection points in the sixteenth formula can be determined as the coordinate of the ground wave position P point of the line defined by OP'.

[0194] In this embodiment of the disclosure, the coordinates of the edge points P and Q of the target beam on the ground can be obtained through the above steps.

[0195] In this embodiment of the disclosure, after obtaining the edge point coordinates of the ground wave position corresponding to the target beam through the above steps, the ground wave position parameters of the target beam can be estimated based on the edge point coordinates of the ground wave position corresponding to the target beam, so as to obtain the wave position center point and the ground wave position area, thereby planning the satellite network.

[0196] In this embodiment of the disclosure, as a detailed explanation of step 1031, such as Figure 8 As shown, it may also include:

[0197] Step 10311: Estimate the ground wave position ellipse based on the coordinates of the edge points to obtain the ground wave position ellipse plotting curve.

[0198] In this embodiment of the disclosure, after obtaining the edge point coordinates through the above steps, the corresponding wave potential parameters cannot be directly obtained. Specifically, the wave potential of the target beam is on the surface of a sphere, which is an irregular spherical cap rather than a two-dimensional planar shape. Furthermore, the aforementioned edge point coordinates are the edge points of the ground wave potential, and the wave potential parameters cannot be directly given. Based on this, in this embodiment of the disclosure, the ground wave potential ellipse can be estimated based on the edge point coordinates to obtain the ground wave potential ellipse plotting curve.

[0199] In this embodiment of the disclosure, multiple target point coordinates can be obtained by randomly selecting values ​​of t in the range of t∈[0,2π). An ellipse can be drawn using the x and y coordinates of the multiple target point coordinates, and the ellipse can be determined as the ground wave position ellipse drawing curve.

[0200] Step 10312: Select the coordinates of multiple target points in the ground wave position ellipse plotting curve.

[0201] In this embodiment of the disclosure, after obtaining the ground wave position ellipse plotting curve through the above steps, the coordinates of multiple target points in the ground wave position ellipse plotting curve can be selected.

[0202] In this embodiment of the disclosure, the number of target point coordinates selected in the ground wave position ellipse plotting curve is greater than or equal to a preset threshold, wherein the preset threshold can be set as needed, such as 5. Furthermore, in this embodiment of the disclosure, the coordinates of any two target points among the multiple target point coordinates cannot be centrally symmetrically distributed about the center point of the ellipse on the ground wave position ellipse plotting curve.

[0203] In this embodiment of the disclosure, the more target points selected from the ground wave position ellipse plotting curve, the more accurate the estimation of the subsequent ground wave position ellipse equation will be.

[0204] Step 10313: Based on the coordinates of multiple target points, obtain the ground wave position ellipse equation corresponding to the target beam.

[0205] In this embodiment of the disclosure, after obtaining the coordinates of multiple target points through the above steps, the ground wavefront ellipse equation corresponding to the target beam can be obtained based on the coordinates of multiple target points. In this way, the ground wavefront parameters of the target beam can be estimated by using the ground wavefront ellipse equation, and the wavefront center point and ground wavefront area can be obtained.

[0206] In this embodiment of the disclosure, the method for obtaining the ground wave position ellipse equation corresponding to the target beam based on the coordinates of multiple target points may include: substituting the coordinates of multiple target points into the ellipse formula to obtain the ground wave position ellipse equation corresponding to the target beam, wherein the ellipse formula is:

[0207] Ax 2 +Bxy+Cy 2 +Dx+Ey+F=0

[0208] In this embodiment of the disclosure, after obtaining the ground wavefront ellipse equation corresponding to the target beam through the above steps, the ground wavefront parameters of the target beam can be estimated based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area, thereby planning the satellite network.

[0209] In this embodiment of the disclosure, as a detailed explanation of step 1032, such as Figure 9 As shown, it may also include:

[0210] Step 10321: Determine the geocentric angle based on the phased array elevation angle of the target beam in the phased array antenna parameter model.

[0211] In this embodiment of the disclosure, Figure 10 This diagram illustrates the relationship between the pitch angle θ, the ground elevation angle, and the geocentric angle α, as presented in an embodiment of this disclosure. Figure 10 As shown, the relationship between the pitch angle θ and the geocentric angle α can be determined as shown in the seventeenth formula, where the seventeenth formula is:

[0212]

[0213] Step 10322: Based on the geocentric angle, elevation angle, and phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, obtain the beam center point.

[0214] In this embodiment of the disclosure, after obtaining the geocentric angle through the above steps, the wave position center point can be obtained based on the geocentric angle, elevation angle, phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna.

[0215] In this embodiment of the disclosure, the method for obtaining the wavefront center point based on the geocentric angle, elevation angle, and phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, may include: obtaining the wavefront center point through the eighteenth formula based on the geocentric angle, elevation angle, and phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, wherein the eighteenth formula is:

[0216]

[0217] Where α is the geocentric angle and θ is the pitch angle. R is the azimuth angle. e Let be the radius of the sphere, and h be the orbital height.

[0218] Step 10323: Determine the area of ​​the corresponding ellipse based on the equation of the ground wave position ellipse.

[0219] In this embodiment of the disclosure, after obtaining the above-mentioned ground wave position ellipse equation, the major axis parameter and minor axis parameter can be calculated based on the ground wave position ellipse equation, and the corresponding ellipse area can be determined based on the major axis parameter and minor axis parameter, wherein the ellipse area S1=π×a'×b', where a' is the major axis parameter corresponding to the ground wave position ellipse equation, and b' is the minor axis parameter corresponding to the ground wave position ellipse equation.

[0220] Step 10324: Based on the area of ​​the ellipse and the geocentric angle, obtain the ground wave potential area.

[0221] In this embodiment of the disclosure, the ground wave potential calculated by the above-mentioned fifteenth formula is a spherical cap, whose area is difficult to calculate accurately and requires certain approximations. Figure 11 This is a schematic diagram illustrating a ground potential area estimation method proposed in an embodiment of this disclosure. Figure 10 As shown, the arc between points P and Q represents the ground wave potential spherical cap. If we take the x and y coordinates of point P and the x and y coordinates of point Q, we can obtain an ellipse represented by point P'Q', which is the ground wave potential ellipse equation obtained in the above embodiment.

[0222] In one embodiment of this disclosure, such as Figure 11 As shown, if a tangent plane is drawn through point CE to the sphere, the angle between this tangent plane and the perpendicular plane to the Z-axis is the geocentric angle α. Based on this, the area of ​​the ellipse represented by points P' and Q' can be divided by cosα to obtain the area of ​​another ellipse represented by points M' and N' on the tangent plane. The area of ​​this ellipse is close to the area of ​​the wave potential spherical cap, and can therefore be used as an approximation. Based on this, the aforementioned ground wave potential area S2 = S1 / cosα.

[0223] In another embodiment of this disclosure, the spherical cap represented by point PQ can be directly projected onto the tangent plane passing through point CE to obtain the ellipse represented by point MN. The area of ​​the projected ellipse is more accurate and can also be used as an approximation of the ground wave potential area.

[0224] In this embodiment of the disclosure, the ground potential parameters corresponding to the satellite beam are obtained through the above steps, which realizes the rapid updating of the satellite ground potential parameters and saves computing resources.

[0225] Based on the above description Figure 12 This is a schematic diagram illustrating the simulation results of a ground potential parameter estimation method proposed in this disclosure. The target beam has an elevation angle θ = 50° and an azimuth angle φ = 50°. The simulation results show the ground potential calculated using the aforementioned ground potential parameter estimation method. Figure 11 As shown, the scatter plot in the figure is drawn by directly intersecting the beam half-power cone with the sphere using the coordinates of the edge points. The black curve represents the ground wave potential calculated using the above method, which is the edge of the irregular spherical cap. The simulation results show that the ground wave potential calculated by the above estimation method has a high degree of overlap with the scatter plot, indicating the correctness of the ground wave potential parameters obtained by the above estimation method. Furthermore, the gray curve represents the ellipse corresponding to the ground wave potential ellipse equation in the above embodiment. The simulation results show that the ground wave potential ellipse equation has a certain angle with the black curve, which is the geocentric angle.

[0226] Figure 13 This is a ground potential parameter estimation device illustrated according to some embodiments of the present disclosure, such as... Figure 13 As shown, the device may include:

[0227] The first determining module 1031 is used to determine the spatial half-power wave position ellipse of the target beam according to the vertical plane of the target beam, wherein the spatial half-power wave position ellipse is the spatial ellipse of the target beam.

[0228] The second determining module 1032 is used to determine the coordinates of the edge point of the ground wave position corresponding to the target beam based on the coordinates of the intersection of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's sphere.

[0229] The estimation module 1033 is used to estimate the ground wave position parameters of the target beam based on the coordinates of the edge points, and to obtain the wave position center point and the ground wave position area. The wave position center point is the intersection point of the target beam and the Earth surface, and the ground wave position area is the coverage area of ​​the target beam on the Earth surface.

[0230] In this embodiment of the disclosure, the first determining module 1301 is specifically used for:

[0231] Determine the half-power ellipse parameters of the target beam, wherein the half-power ellipse parameters are the planar ellipse corresponding to the target beam;

[0232] Based on the target pointing coordinates of the target beam, determine the vertical plane equation of the target beam;

[0233] By combining the half-power ellipse parameters with the vertical plane equation, the parametric equation of the spatial half-power wave position ellipse is obtained.

[0234] Optionally, in this embodiment of the present disclosure, the first determining module 1301 is further configured to:

[0235] Based on the pitch and azimuth angles of the target beam velocity, determine the coordinates of the center point of the target beam;

[0236] Based on the half-power beamwidth of the target beam in the first and second planes, the major axis parameters and minor axis parameters are determined.

[0237] Based on the center point coordinates, the major axis parameter, and the minor axis parameter, the half-power ellipse parameter of the target beam in the phased array antenna parameter model is determined.

[0238] Optionally, in this embodiment of the present disclosure, the first determining module 1301 is further configured to:

[0239] Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam;

[0240] Based on the spatial coordinate points, determine the normal vector of the vertical plane of the target beam;

[0241] Based on the normal vector and the spatial coordinate points, the equation of the vertical plane of the target beam is obtained.

[0242] Optionally, in this embodiment of the disclosure, the second determining module 1302 is specifically used for:

[0243] Determine the spatial line parametric equation corresponding to the straight line drawn from the origin to the spatial half-power wavepotential ellipse;

[0244] The equation of the Earth's sphere is determined based on the orbital altitude and spherical radius of the phased array antenna;

[0245] By combining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere, the coordinates of the edge point of the ground wavefront corresponding to the target beam are obtained.

[0246] Optionally, in this embodiment of the disclosure, the estimation module 1303 is specifically used for:

[0247] The ground wave position ellipse of the target beam is estimated based on the coordinates of the edge points, and the equation of the ground wave position ellipse corresponding to the target beam is obtained.

[0248] The ground wavefront parameters of the target beam are estimated based on the ground wavefront ellipse equation, and the wavefront center point and ground wavefront area are obtained.

[0249] Optionally, in this embodiment of the disclosure, the estimation module 1303 is further configured to:

[0250] The ground wave position ellipse is estimated based on the coordinates of the edge points, and the ground wave position ellipse plotting curve is obtained.

[0251] Select the coordinates of multiple target points in the ground wave position ellipse plotting curve;

[0252] Based on the coordinates of multiple target points, the equation of the ground wave position ellipse corresponding to the target beam is obtained.

[0253] Optionally, in this embodiment of the disclosure, the estimation module 1303 is further configured to:

[0254] Determine the geocentric angle based on the phased array elevation angle of the target beam in the phased array antenna parameter model;

[0255] Based on the geocentric angle, elevation angle, and phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, the beam center point is obtained.

[0256] Based on the equation of the ground wave potential ellipse, determine the corresponding ellipse area;

[0257] The ground wave potential area is obtained based on the area of ​​the ellipse and the geocentric angle.

[0258] like Figure 14 As shown, the electronic device 1400 includes a computing unit 1401, which can perform various appropriate actions and processes according to a computer program stored in a read-only memory (ROM) 1402 or a computer program loaded from a storage unit 1408 into a random access memory (RAM) 1403. The RAM 1403 may also store various programs and data required for the operation of the electronic device 1400. The computing unit 1401, ROM 1402, and RAM 1403 are interconnected via a bus 1404. An input / output (I / O) interface 1405 is also connected to the bus 1404.

[0259] Multiple components in electronic device 1400 are connected to I / O interface 1405, including: input unit 1408, such as keyboard, mouse, etc.; output unit 1407, such as various types of monitors, speakers, etc.; storage unit 1408, such as disk, optical disk, etc.; and communication unit 1409, such as network card, modem, wireless transceiver, etc. Communication unit 1409 allows electronic device 1400 to exchange information / data with other electronic devices through computer networks such as the Internet and / or various telecommunications networks.

[0260] The computing unit 1401 can be a variety of general-purpose and / or special-purpose processing components with processing and computing capabilities. Some examples of the computing unit 1401 include, but are not limited to, a central processing unit (CPU), a graphics processing unit (GPU), various special-purpose artificial intelligence (AI) computing chips, various computing units running machine learning model algorithms, a digital signal processor (DSP), and any suitable processor, controller, microcontroller, etc. The computing unit 1401 performs the various methods and processes described above, such as the ground wavelet parameter estimation method. For example, in some embodiments, the ground wavelet parameter estimation method may be implemented as a computer software program tangibly contained in a machine-readable medium, such as storage unit 1408. In some embodiments, part or all of the computer program may be loaded and / or installed on the electronic device 1400 via ROM 1402 and / or communication unit 1409. When the computer program is loaded into RAM 1403 and executed by the computing unit 1401, one or more steps of the ground wavelet parameter estimation method described above may be performed. Alternatively, in other embodiments, the computing unit 1401 may be configured to perform a ground wave potential parameter estimation method by any other suitable means (e.g., by means of firmware).

[0261] Various embodiments of the apparatuses and techniques described above herein can be implemented in digital electronic circuit devices, integrated circuit devices, field-programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), application-specific standard products (ASSPs), device-on-a-chip (SoC) devices, payload-programmable logic electronic devices (CPLDs), computer hardware, firmware, software, and / or combinations thereof. These various embodiments may include: implementations in one or more computer programs that can be executed and / or interpreted on a programmable device including at least one programmable processor, which may be a dedicated or general-purpose programmable processor, capable of receiving data and instructions from a storage device, at least one input device, and at least one output device, and transmitting data and instructions to the storage device, the at least one input device, and the at least one output device.

[0262] The program code used to implement the methods of this disclosure may be written in any combination of one or more programming languages. This program code may be provided to a processor or controller of a general-purpose computer, special-purpose computer, or other programmable data processing apparatus, such that when executed by the processor or controller, the program code causes the functions / operations specified in the flowcharts and / or block diagrams to be implemented. The program code may be executed entirely on a machine, partially on a machine, as a standalone software package partially on a machine and partially on a remote machine, or entirely on a remote machine or server.

[0263] In the context of this disclosure, a machine-readable medium can be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution device, apparatus, or electronic device. A machine-readable medium can be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium can be, but is not limited to, electronic, magnetic, optical, electromagnetic, infrared, or semiconductor devices, apparatus, or electronic devices, or any suitable combination of the foregoing. More specific examples of machine-readable storage media include electrical connections based on one or more wires, portable computer disks, hard disks, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fiber, portable compact disk read-only memory (CD-ROM), optical storage electronics, magnetic storage electronics, or any suitable combination of the foregoing.

[0264] To provide interaction with a user, the apparatus and techniques described herein can be implemented on a computer having: a display device for displaying information to the user (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor); and a keyboard and pointing device (e.g., a mouse or trackball) through which the user provides input to the computer. Other types of apparatus can also be used to provide interaction with the user; for example, feedback provided to the user can be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user can be received in any form (including sound input, voice input, or tactile input).

[0265] The apparatus and techniques described herein can be implemented in computing devices that include backend components (e.g., as a data server), or computing devices that include middleware components (e.g., an application server), or computing devices that include frontend components (e.g., a user computer with a graphical user interface or web browser through which a user can interact with embodiments of the apparatus and techniques described herein), or computing devices that include any combination of such backend, middleware, or frontend components. The components of the apparatus can be interconnected via digital data communication of any form or medium (e.g., a communication network). Examples of communication networks include local area networks (LANs), wide area networks (WANs), the Internet, and blockchain networks.

[0266] Computer devices can include clients and servers. Clients and servers are generally geographically separated and typically interact via communication networks. The client-server relationship is established by computer programs running on the respective computers and having a client-server relationship with each other. A server can be a cloud server, also known as a cloud computing server or cloud host, a hosting product within the cloud computing service system, addressing the shortcomings of traditional physical hosts and VPS (Virtual Private Server, or simply "VPS") in terms of management difficulty and weak business scalability. Servers can also be distributed server devices or servers incorporating blockchain technology.

[0267] It should be understood that the various forms of processes shown above can be used to rearrange, add, or delete steps. For example, the steps described in this disclosure can be executed in parallel, sequentially, or in different orders, as long as the desired result of the technical solution disclosed in this disclosure can be achieved, and this is not limited herein.

[0268] The specific embodiments described above do not constitute a limitation on the scope of protection of this disclosure. Those skilled in the art should understand that various modifications, combinations, sub-combinations, and substitutions can be made according to design requirements and other factors. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of this disclosure should be included within the scope of protection of this disclosure.

Claims

1. A method for estimating ground wave potential parameters, characterized in that, The method includes: Based on the vertical plane of the target beam, the spatial half-power wave position ellipse of the target beam is determined, wherein the spatial half-power wave position ellipse is the spatial ellipse of the target beam. Based on the coordinates of the intersection of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's sphere, the coordinates of the edge point of the ground wave position corresponding to the target beam are determined. The ground wave position parameters of the target beam are estimated based on the coordinates of the edge points to obtain the wave position center point and the ground wave position area. The wave position center point is the intersection point of the target beam and the Earth's surface, and the ground wave position area is the coverage area of ​​the target beam on the Earth's surface.

2. The method as described in claim 1, characterized in that, Determining the spatial half-power ellipse of the target beam based on its vertical plane includes: Determine the half-power ellipse parameters of the target beam, wherein the half-power ellipse parameters are the planar ellipse corresponding to the target beam; Based on the target pointing coordinates of the target beam, determine the vertical plane equation of the target beam; By combining the half-power ellipse parameters with the vertical plane equation, the parametric equation of the spatial half-power wave position ellipse is obtained.

3. The method as described in claim 2, characterized in that, Determining the half-power elliptic parameters of the target beam includes: Based on the pitch and azimuth angles of the target beam velocity, determine the coordinates of the center point of the target beam; Based on the half-power beamwidth of the target beam in the first and second planes, the major axis parameters and minor axis parameters are determined. Based on the center point coordinates, the major axis parameter, and the minor axis parameter, the half-power ellipse parameter of the target beam in the phased array antenna parameter model is determined.

4. The method as described in claim 2, characterized in that, Determining the vertical plane equation of the target beam based on the target pointing coordinates of the target beam includes: Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam; Based on the spatial coordinate points, determine the normal vector of the vertical plane of the target beam; Based on the normal vector and the spatial coordinate points, the equation of the vertical plane of the target beam is obtained.

5. The method as described in claim 1, characterized in that, The determination of the edge point coordinates of the ground wave position corresponding to the target beam based on the intersection coordinates of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's surface includes: Determine the spatial line parametric equation corresponding to the straight line drawn from the origin to the spatial half-power wavepotential ellipse; The equation of the Earth's sphere is determined based on the orbital altitude and spherical radius of the phased array antenna; By combining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere, the coordinates of the edge point of the ground wavefront corresponding to the target beam are obtained.

6. The method as described in claim 1, characterized in that, The estimation of the ground potential parameters of the target beam based on the edge point coordinates to obtain the potential center point and ground potential area includes: The ground wavefront ellipse of the target beam is estimated based on the coordinates of the edge points to obtain the equation of the ground wavefront ellipse corresponding to the target beam. The ground wavefront parameters of the target beam are estimated based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area.

7. The method as described in claim 6, characterized in that, The estimation of the ground wavefront ellipse of the target beam based on the edge point coordinates, to obtain the equation of the ground wavefront ellipse corresponding to the target beam, includes: The ground wave position ellipse is estimated based on the coordinates of the edge points to obtain the ground wave position ellipse plotting curve; Select the coordinates of multiple target points in the ground wave position ellipse plotting curve; Based on the coordinates of the multiple target points, the equation of the ground wave position ellipse corresponding to the target beam is obtained.

8. The method as described in claim 6, characterized in that, The estimation of the ground potential parameters of the target beam based on the ground potential ellipse equation to obtain the potential center point and ground potential area includes: Based on the phased array elevation angle of the target beam in the phased array antenna parameter model, the geocentric angle is determined; Based on the geocentric angle, the elevation angle, and the phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, the beam center point is obtained. Based on the aforementioned ground wave potential ellipse equation, determine the corresponding ellipse area; The ground wave potential area is obtained based on the area of ​​the ellipse and the geocentric angle.

9. A ground wave potential parameter estimation device, characterized in that, The device includes: The first determining module is used to determine the spatial half-power wavefront ellipse of the target beam based on the vertical plane of the target beam, wherein the spatial half-power wavefront ellipse is the spatial ellipse of the target beam. The second determining module is used to determine the coordinates of the edge point of the ground wave position corresponding to the target beam based on the coordinates of the intersection point of the spatial straight line, the spatial half-power wave position ellipse, and the Earth's sphere. The estimation module is used to estimate the ground wave position parameters of the target beam based on the coordinates of the edge points, and to obtain the wave position center point and the ground wave position area, wherein the wave position center point is the intersection point of the target beam and the Earth's surface, and the ground wave position area is the coverage area of ​​the target beam on the Earth's surface.

10. The apparatus as claimed in claim 9, characterized in that, The first determining module is specifically used for: Determine the half-power ellipse parameters of the target beam, wherein the half-power ellipse parameters are the planar ellipse corresponding to the target beam; Based on the target pointing coordinates of the target beam, determine the vertical plane equation of the target beam; By combining the half-power ellipse parameters with the vertical plane equation, the parametric equation of the spatial half-power wave position ellipse is obtained.

11. The apparatus as claimed in claim 10, characterized in that, The first determining module is further configured to: Based on the pitch and azimuth angles of the target beam velocity, determine the coordinates of the center point of the target beam; Based on the half-power beamwidth of the target beam in the first and second planes, the major axis parameters and minor axis parameters are determined. Based on the center point coordinates, the major axis parameter, and the minor axis parameter, the half-power ellipse parameter of the target beam in the phased array antenna parameter model is determined.

12. The apparatus as claimed in claim 10, characterized in that, The first determining module is further configured to: Determine the spatial coordinate point corresponding to the target pointing coordinate of the target beam; Based on the spatial coordinate points, determine the normal vector of the vertical plane of the target beam; Based on the normal vector and the spatial coordinate points, the equation of the vertical plane of the target beam is obtained.

13. The apparatus as claimed in claim 9, characterized in that, The second determining module is specifically used for: Determine the spatial line parametric equation corresponding to the straight line drawn from the origin to the spatial half-power wavepotential ellipse; The equation of the Earth's sphere is determined based on the orbital altitude and spherical radius of the phased array antenna; By combining the parametric equations of the spatial straight line, the parametric equations of the spatial half-power wavefront ellipse, and the equation of the Earth's sphere, the coordinates of the edge point of the ground wavefront corresponding to the target beam are obtained.

14. The apparatus as claimed in claim 9, characterized in that, The estimation module is specifically used for: The ground wavefront ellipse of the target beam is estimated based on the coordinates of the edge points to obtain the equation of the ground wavefront ellipse corresponding to the target beam. The ground wavefront parameters of the target beam are estimated based on the ground wavefront ellipse equation to obtain the wavefront center point and ground wavefront area.

15. The apparatus as claimed in claim 14, characterized in that, The estimation module is also used for: The ground wave position ellipse is estimated based on the coordinates of the edge points to obtain the ground wave position ellipse plotting curve; Select the coordinates of multiple target points in the ground wave position ellipse plotting curve; Based on the coordinates of the multiple target points, the equation of the ground wave position ellipse corresponding to the target beam is obtained.

16. The apparatus as claimed in claim 14, characterized in that, The estimation module is also used for: Based on the phased array elevation angle of the target beam in the phased array antenna parameter model, the geocentric angle is determined; Based on the geocentric angle, the elevation angle, and the phased array azimuth angle of the target beam in the phased array antenna parameter model, as well as the orbital height and spherical radius of the phased array antenna, the beam center point is obtained. Based on the aforementioned ground wave potential ellipse equation, determine the corresponding ellipse area; The ground wave potential area is obtained based on the area of ​​the ellipse and the geocentric angle.

17. An electronic device comprising a memory and a processor, the memory storing a computer program executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the method according to any one of claims 1 to 8.

18. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of the method according to any one of claims 1 to 8.

19. A computer program product comprising a computer program that, when executed by a processor, implements the steps of the method according to any one of claims 1 to 8.

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