CN111710993A - Beam scanning method and device based on virtual array element - Google Patents

Beam scanning method and device based on virtual array element Download PDF

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Publication number
CN111710993A
CN111710993A CN202010707543.2A CN202010707543A CN111710993A CN 111710993 A CN111710993 A CN 111710993A CN 202010707543 A CN202010707543 A CN 202010707543A CN 111710993 A CN111710993 A CN 111710993A
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array
array element
effective
virtual
arc
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黄平平
刘斌
卫晓楠
徐伟
谭维贤
高志奇
乞耀龙
张振华
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Inner Mongolia University of Technology
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Inner Mongolia University of Technology
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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q21/00Antenna arrays or systems
    • H01Q21/0087Apparatus or processes specially adapted for manufacturing antenna arrays
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q21/00Antenna arrays or systems
    • H01Q21/06Arrays of individually energised antenna units similarly polarised and spaced apart
    • H01Q21/20Arrays of individually energised antenna units similarly polarised and spaced apart the units being spaced along or adjacent to a curvilinear path
    • H01Q21/205Arrays of individually energised antenna units similarly polarised and spaced apart the units being spaced along or adjacent to a curvilinear path providing an omnidirectional coverage
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01QANTENNAS, i.e. RADIO AERIALS
    • H01Q3/00Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
    • H01Q3/26Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture
    • H01Q3/30Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array
    • H01Q3/34Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system varying the relative phase or relative amplitude of energisation between two or more active radiating elements; varying the distribution of energy across a radiating aperture varying the relative phase between the radiating elements of an array by electrical means

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  • Variable-Direction Aerials And Aerial Arrays (AREA)

Abstract

The application discloses a method and a device for beam scanning based on virtual array elements. The method comprises the following steps: determining the position of a virtual array element according to a preset target expected direction and selecting an effective array element corresponding to the target expected direction; calculating the space phase difference between the effective array elements and the virtual array elements; configuring the phase compensation of the effective array elements according to the space phase difference between the effective array elements and the virtual array elements; and carrying out beam scanning on the scanning area corresponding to the configured effective array element. By adopting the scheme provided by the application, the problem of large beam jump degree in the beam scanning process of the arc array antenna is solved, the beam jump degree of effective array element beam scanning is reduced, the beam pointing jump degree interval is reduced, and the main beam intensity in the target expected direction is enhanced.

Description

Beam scanning method and device based on virtual array element
Technical Field
The present invention relates to the field of antenna scanning, and in particular, to a method and an apparatus for beam scanning based on virtual array elements.
Background
In the new period, with the rapid development of information technology and electronic technology, the appearance of new devices and new processes, the application of the arc array antenna in the aspects of radars, electronic systems, communication systems and the like is more and more popular. The arc array antenna can realize 360-degree omnibearing wide-range observation imaging of the array, and has important significance in researching the azimuth beam scanning method of the arc array antenna.
However, in the large-range coarse beam scanning implemented by the arc-shaped array antenna through gating and switching of the effective array elements controlled by the electronic feed switch, there is a situation of large beam jump, so how to implement the change of the maximum value direction of the array beam, and further overcome the situation that the main beam intensity in the target desired direction is insufficient due to too large beam jump, which is a technical problem to be solved urgently.
Disclosure of Invention
The embodiment of the application aims to provide a method and a device for beam scanning based on a virtual array element.
In order to solve the technical problem, the embodiment of the application adopts the following technical scheme: a beam scanning method based on virtual array elements comprises the following steps:
determining the position of a virtual array element according to a preset target expected direction and selecting an effective array element corresponding to the target expected direction;
calculating the space phase difference between the effective array elements and the virtual array elements;
configuring the phase compensation of the effective array elements according to the space phase difference between the effective array elements and the virtual array elements;
and carrying out beam scanning on the scanning area corresponding to the configured effective array element.
The beneficial effect of this application lies in: the corresponding virtual array elements can be set based on the target expected direction, and further the space phase difference between the effective array elements and the virtual array elements can be calculated; the phase compensation of effective array elements of the arc array antenna is realized, the problem of large beam jump degree in array beam scanning can be solved, the interval of beam pointing jump degree is reduced, the fine scanning of the arc array antenna beam in the azimuth direction in all-dimensional beams is realized, and the main beam intensity in the target expected direction is enhanced.
In an embodiment, the selecting the effective array element corresponding to the target desired direction includes:
determining the maximum radiation angle of each array element;
and selecting the array element capable of contributing to the array main beam as an effective array element based on the maximum radiation angle of each array element.
In one embodiment, calculating a spatial phase difference between the active array element and the virtual array element comprises:
calculating the radius of the arc array antenna;
calculating the space stroke difference between the virtual array element and each effective array element based on the radius of the arc array antenna;
and calculating the space phase difference between the virtual array elements and each effective array element based on the space stroke difference between the virtual array elements and each effective array element.
In one embodiment, the calculating the radius of the arc array antenna comprises:
calculating the radius of the arc array antenna based on the following formula:
Figure BDA0002594489200000021
wherein M is the total number of the array elements,dcthe distance between the array elements on the arc array antenna is shown, and phi is the aperture angle of the arc array antenna.
In one embodiment, said calculating the spatial path length difference between the virtual array element and each effective array element based on the radius of the arc array antenna comprises:
substituting the calculated radius of the arc array antenna into the following formula to calculate the spatial travel difference between the virtual array element and each effective array element:
Figure BDA0002594489200000031
wherein the content of the first and second substances,
Figure BDA0002594489200000032
a circumferential angle corresponding to the ith array element; gamma is the target direction; and R is the radius of the arc array antenna.
In one embodiment, calculating the spatial phase difference between the virtual array element and each effective array element based on the spatial stroke difference between the virtual array element and each effective array element comprises:
calculating the spatial phase difference between the virtual array element and each effective array element according to the following formula:
Figure BDA0002594489200000033
wherein the content of the first and second substances,
Figure BDA0002594489200000034
the spatial phase difference between the ith array element and the 0 th array element, namely the virtual array elements is represented;
Figure BDA0002594489200000035
the central angle between the No. i array element and the No. 0 reference array element is shown; gamma is the target direction; dcRepresenting the space distance interval of any adjacent independent antenna array elements along the arc direction; m is the total number of array elements; phi is the aperture angle of the arc array antenna; λ is the signal wavelength.
In one embodiment, the configuring the phase compensation of the effective array element according to the spatial phase difference between the effective array element and the virtual array element includes:
obtaining the in-array phase difference required by each effective array element when the main beam of the arc array antenna is in the target expected direction according to the space phase difference between the effective array element and the virtual array element;
and performing phase shift control on each effective array element of the arc array antenna according to the phase difference in the array.
In one embodiment, further comprising:
and after obtaining the intra-array phase difference in the arc-shaped array antenna, substituting the intra-array phase difference into an arc-shaped array antenna directional diagram function to express the antenna directional diagram function in beam scanning.
The present application further provides a beam scanning apparatus based on virtual array elements, including:
the determining module is used for determining the position of the virtual array element according to a preset target expected direction and selecting an effective array element corresponding to the target expected direction;
the calculation module is used for calculating the space phase difference between the effective array element and the virtual array element;
the configuration module is used for configuring the phase compensation of the effective array element according to the space phase difference between the effective array element and the virtual array element;
and the scanning module is used for carrying out beam scanning on a scanning area corresponding to the configured effective array element. In one embodiment, the determining module includes:
the first determining submodule is used for determining the maximum radiation angle of each array element;
and the second determining submodule is used for determining the array element capable of contributing to the array main beam as an effective array element based on the maximum radiation angle of each array element.
Drawings
Fig. 1 is a flowchart of a method for beam scanning based on a virtual array element according to an embodiment of the present application;
fig. 2 is a three-dimensional geometric structure diagram of an arc array antenna according to an embodiment of the present application;
fig. 3 is a schematic diagram of an effective array element selection strategy in an embodiment of the present application;
fig. 4 is a flowchart of a method for beam scanning based on virtual array elements according to another embodiment of the present application;
fig. 5 is a schematic diagram of an effective array element selection strategy in an embodiment of the present application;
fig. 6 is a block diagram of a virtual array element based beam scanning apparatus according to an embodiment of the present application;
fig. 7 is a block diagram of a beam scanning apparatus based on a virtual array element according to another embodiment of the present application.
Detailed Description
Various aspects and features of the present application are described herein with reference to the drawings.
It will be understood that various modifications may be made to the embodiments of the present application. Accordingly, the foregoing description should not be construed as limiting, but merely as exemplifications of embodiments. Those skilled in the art will envision other modifications within the scope and spirit of the application.
The accompanying drawings, which are incorporated in and constitute a part of the specification, illustrate embodiments of the application and, together with a general description of the application given above and the detailed description of the embodiments given below, serve to explain the principles of the application.
These and other characteristics of the present application will become apparent from the following description of preferred forms of embodiment, given as non-limiting examples, with reference to the attached drawings.
It should also be understood that, although the present application has been described with reference to some specific examples, a person of skill in the art shall certainly be able to achieve many other equivalent forms of application, having the characteristics as set forth in the claims and hence all coming within the field of protection defined thereby.
The above and other aspects, features and advantages of the present application will become more apparent in view of the following detailed description when taken in conjunction with the accompanying drawings.
Specific embodiments of the present application are described hereinafter with reference to the accompanying drawings; however, it is to be understood that the disclosed embodiments are merely exemplary of the application, which can be embodied in various forms. Well-known and/or repeated functions and constructions are not described in detail to avoid obscuring the application of unnecessary or unnecessary detail. Therefore, specific structural and functional details disclosed herein are not to be interpreted as limiting, but merely as a basis for the claims and as a representative basis for teaching one skilled in the art to variously employ the present application in virtually any appropriately detailed structure.
The specification may use the phrases "in one embodiment," "in another embodiment," "in yet another embodiment," or "in other embodiments," which may each refer to one or more of the same or different embodiments in accordance with the application.
Fig. 1 is a flowchart of a virtual array element-based beam scanning method according to an embodiment of the present application, where the method includes the following steps S11-S15:
in step S11, determining the position of the virtual array element according to a preset target desired direction and selecting an effective array element corresponding to the target desired direction;
in step S12, a spatial phase difference between the effective array element and the virtual array element is calculated;
in step S13, configuring phase compensation of the effective array elements according to the spatial phase difference between the effective array elements and the virtual array elements;
in step S14, a beam scan is performed on the scan region corresponding to the arranged effective array element.
FIG. 2 is a three-dimensional geometric configuration of an arc array antenna, which is composed of rectangular open-ended waveguide array elements with simple structure and high gain, and is shared for transmitting and receiving, and has equal angular intervals of delta theta and equal spatial intervals of d along the array directioncThe mouth surface is uniformly distributed towards the outer side of the circular arc. Wherein, the antenna aperture angle is phi, the total number of antenna array elements is M, the antenna radius is R, delta theta represents the angle interval of any adjacent independent antenna array elements from the circular arc to the circle center, dcRepresenting the space distance interval of any adjacent independent antenna array elements along the arc directionSize.
And acquiring a target expected direction corresponding to the arc array antenna, setting a virtual array element according to the target expected direction, determining the position of the virtual array element, and selecting the virtual array element as the No. 0 reference array element of the array. As shown in fig. 5, for convenience of description, the direction having the angle γ with the north is selected as the desired beam pointing direction along the array in the clockwise direction, i.e. the desired direction of the target. And (4) intersecting the straight line of the expected beam pointing direction with the arc array surface, and setting the position of the intersection point as the position of the virtual array element.
After the virtual array elements are determined, as shown in fig. 3, all the array elements are renumbered by taking the virtual array elements as a reference, the number of the array elements is 1, 2, … and M/2 in sequence along the arc in the clockwise direction, and the number of the array elements is-1, -2, … and-M/2 in sequence in the counterclockwise direction.
And after the serial numbers of the array elements of the arc array antenna are determined again, determining a radiation area according to the target expected direction, and then selecting effective radiation array elements. After selecting effective array elements, calculating the space phase difference between the effective array elements and the virtual array elements; configuring the phase compensation of the effective array elements according to the space phase difference between the effective array elements and the virtual array elements; and carrying out beam scanning on the scanning area corresponding to the configured effective array element.
The beneficial effect of this application lies in: the beneficial effect of this application lies in: the corresponding virtual array elements can be set based on the target expected direction, and further the space phase difference between the effective array elements and the virtual array elements can be calculated; the phase compensation of effective array elements of the arc array antenna is realized, the problem of large beam jump degree in array beam scanning can be solved, the interval of beam pointing jump degree is reduced, the fine scanning of the arc array antenna beam in the azimuth direction in all-dimensional beams is realized, and the main beam intensity in the target expected direction is enhanced.
In one embodiment, the target desired direction is a desired direction of a main beam of the array formed in an on state of an effective array element, and the selecting of the effective array element corresponding to the target desired direction in the step S12 may be implemented as the following steps a1-a 2:
in step a1, determining the maximum radiation angle of each array element;
in step a2, an array element capable of contributing to the array main beam is selected as an effective array element based on the maximum radiation angle of each array element.
The array element of arc array antenna adopts that open waveguide antenna is half space radiation antenna, and open waveguide normal direction is the biggest radiation direction of array element, along with the increase of the biggest radiation direction angle of arc array main beam direction skew array element, the radiation field intensity of array element can reduce gradually. Because the antenna substrate and the carrier are made of metal materials, electromagnetic waves cannot penetrate through the antenna substrate and the carrier, a single array element can only contribute to the array main beam in a certain range direction, namely, only the unshielded array element can contribute to the array main beam. Therefore, the arc array can only gate part of the array elements to feed in a certain pointing direction, and correspondingly selects and switches the array elements in the feeding area according to the array scanning angle.
An effective array element selection strategy is formulated according to the aperture size of the array antenna, the size of the radiation aperture of the array element and the relationship between the maximum radiation angle, the central angle, the target direction of a single array element and the normal included angle of a reference array element, the strategy schematic diagram is shown in fig. 3, the maximum radiation angles of the array elements are regarded as the same, and the maximum radiation angles of the single array elements are regarded as thetamIt is indicated that the target direction, i.e. the desired direction of the array main beam, is γ, and for the sake of convenience, the angle between this direction and the north direction is defined. And taking the virtual array element as a center, and in the selected effective array elements, making the array element at the extreme point along the arc in the anticlockwise direction as the No. k array element, and making the array element at the extreme point along the arc in the clockwise direction as the No. i array element. Then, only when the circumferential angles of the array elements at the two end points satisfy the following relationship, the array element between the two end points is determined as an effective radiation array element, otherwise, the array element is an ineffective array element, and the contribution to the array main beam is ignored.
Figure BDA0002594489200000081
After the effective array elements are selected, the effective radiation array elements are gated and switched by using the feed power dividing network, and control signals are transmitted and received by a T/R (Transmitter and Receiver) component to control each array element of the arc array antenna after passing through a signal processor and the feed power combining network.
In one embodiment, as shown in FIG. 4, the above step S13 can be implemented as the following steps S41-S43:
in step S41, the radius of the arc array antenna is calculated;
in step S42, calculating a spatial travel difference between the virtual array element and each effective array element based on the radius of the arc array antenna;
in step S43, a spatial phase difference between the virtual array element and each effective array element is calculated based on the spatial stroke difference between the virtual array element and each effective array element.
In this embodiment, the radius R of the arc array antenna is calculated; calculating the space stroke difference between the virtual array element and each effective array element based on the radius of the arc array antenna; and calculating the space phase difference between the virtual array elements and each effective array element based on the space stroke difference between the virtual array elements and each effective array element.
In one embodiment, the step S22 can be implemented as the following steps:
substituting the calculated radius of the arc array antenna into the following formula to calculate the spatial travel difference between the virtual array element and each effective array element:
Figure BDA0002594489200000082
wherein D isi0Is the space stroke difference between the i-th array element and the 0-th array element, namely the virtual array element when the target is in the gamma direction,
Figure BDA0002594489200000091
a circumferential angle corresponding to the ith array element; gamma is the target direction; and R is the radius of the arc array antenna.
In the above formula (2)
Figure BDA0002594489200000092
Is determined by the following formula:
Figure BDA0002594489200000093
in one embodiment, the method may also be implemented as: and determining the equivalent position of each array element space according to the pointing direction of the array wave beam.
In one embodiment, the step S21 can be implemented as the following steps:
the radius R of the arc array antenna referred to in the above formula (2) is calculated based on the following formula:
Figure BDA0002594489200000094
wherein M is the total number of array elements, dcThe distance between the array elements on the arc array antenna is shown, and phi is the aperture angle of the arc array antenna.
In one embodiment, the step S23 can be implemented as the following steps:
calculating the spatial phase difference between the virtual array element and each effective array element according to the following formula:
Figure BDA0002594489200000095
wherein the content of the first and second substances,
Figure BDA0002594489200000096
the spatial phase difference between the ith array element and the 0 th array element, namely the virtual array elements is represented;
Figure BDA0002594489200000097
the central angle between the No. i array element and the No. 0 reference array element is shown; gamma is the target direction; dcRepresenting the space distance interval of any adjacent independent antenna array elements along the arc direction; m is the total number of array elements; phi is an arc arrayAn aperture angle of the antenna; λ is the signal wavelength.
In this embodiment, the spatial phase difference of the effective radiation array element of the arc array antenna is obtained by using the spatial path difference of the effective radiation array element of the arc array antenna to perform spatial phase compensation of the array element channel, thereby realizing the formation of the equiphase plane.
After the equiphase surface is formed, in this application, the determination of the aperture size of the equivalent antenna on the equiphase surface is further included, as shown in fig. 5, the target pointing direction of the desired beam is γ, that is, the scanning direction of the array main beam, the aperture of the arc array equivalent straight line source in the pointing direction, that is, the equivalent aperture is L, in order to better fit the equivalent aperture of the arc array antenna in the desired target direction γ, half the equivalent array element distance is respectively extended from the two ends of the equivalent antenna boundary to the peripheral edge, and the size of the entire equivalent aperture of the arc array antenna on the equiphase surface can be expressed as:
Figure BDA0002594489200000101
wherein R is the radius of the arc array antenna;
Figure BDA0002594489200000102
corresponding to the size of the largest central angle among all effective radiation array elements,
Figure BDA0002594489200000103
Sithe spatial position of the ith array element on the equiphase surface is shown;
in one embodiment, the above step S14 can be implemented as the following steps B1-B2:
in step B1, obtaining an intra-array phase difference required by each effective array element when the main beam of the arc array antenna is in the target desired direction according to the spatial phase difference between the effective array element and the virtual array element;
in step B2, phase shift control is performed on each effective element of the arc array antenna according to the intra-array phase difference.
Phase compensation in azimuth antenna beam scanning is configured. Will find outThe spatial phase difference of the effective radiation array elements of the arc array is combined with the phased array beam scanning principle to configure the phase compensation in the azimuth antenna beam scanning. The phase configuration is realized by a phase shifting mode, and the maximum value pointing gamma of the array beam is realizedBIn this case, the phase difference in the array between the corresponding array element No. 0 and array element No. i is used
Figure BDA0002594489200000105
By the spatial phase difference being equal to the intra-array phase difference, we can obtain:
Figure BDA0002594489200000104
wherein, γBPointing the maximum value of the array wave beam, and phi is the aperture angle of the arc array antenna; λ is the signal wavelength; m is the total number of array elements; dcRepresenting the space distance interval of any adjacent independent antenna array elements along the arc direction;
Figure BDA0002594489200000111
the central angle between the No. i array element and the No. 0 reference array element is shown;
varying the phase difference within the array in equation (6) by shifting the phase
Figure BDA0002594489200000112
Can realize the maximum pointing gamma of the array wave beamBThe change of the array makes up the problem of beam jump degree in large-range beam coarse scanning realized by the arc array through the gating and switching of the electronic feed switch control effective array elements, and realizes the fine and flexible scanning of the array to the beam.
In one embodiment, the method may also be implemented as the steps of:
and after obtaining the intra-array phase difference in the arc-shaped array antenna, substituting the intra-array phase difference into an arc-shaped array antenna directional diagram function to express the antenna directional diagram function in beam scanning.
In this embodiment, when determining the directional diagram function of the arc array antenna, the obtained phase difference is substituted into the directional diagram function of the arc array antenna, and the directional diagram function of the antenna in beam scanning is represented.
The position coordinate vector of the ith array element is expressed as:
Figure BDA0002594489200000113
wherein R represents the arc radius of the arc array antenna;
the desired target direction is (θ, γ), and the direction of arrival vector can be expressed as:
r ═ formula (9) (sin θ cos γ, sin θ sin γ, cos θ)
The spatial phase difference of the ith array element can be obtained by a dot product method:
Figure BDA0002594489200000114
wherein psiiIs the spatial phase difference of the No. i array element, k is 2 pi/lambda, lambda is the signal wavelength, PiAnd the position coordinate vector of the ith array element is shown, and R is the radius of the arc array antenna.
Each array element has a weight of Wi(i ═ 0, 1, …, M-1), the total electric field of the far field of the arc array antenna can be expressed as:
Figure BDA0002594489200000121
wherein, IiComplex current representing the i-th array element; wherein
Figure BDA0002594489200000122
Is the weight W of the i-th array elementiComplex number representation of (a).
Array main beam maximum pointing direction (theta)B,γB) The phase of the ith array element is expressed as:
Figure BDA0002594489200000123
the pattern function of an arc array antenna can be expressed as:
Figure BDA0002594489200000124
wherein A isiIs the weight amplitude of the array element No. i, fiAnd (gamma, theta) is a directional diagram function of the ith array element. f. ofi(γ,θ)=1(i=1,2,…,M),θ=θBAs 90 °, the arc array antenna array factor pattern function can be expressed as:
Figure BDA0002594489200000125
the method further comprises the step of determining the space equivalent position of each array element according to the geometric relationship between the central angle of each effective radiating array element of the arc array and the angle with the largest central angle among all effective radiating array elements. As shown in FIG. 5, the spatial equivalent position of the i-th array element is represented by piRepresentation, derived from the geometric relationship:
Figure BDA0002594489200000126
wherein the content of the first and second substances,
Figure BDA0002594489200000127
indicating the size of the central angle between the ith array element and the 0 th reference array element,
Figure BDA0002594489200000128
n is the number of effective radiation array elements,
Figure BDA0002594489200000129
the maximum central angle of all effective radiation array elements.
Fig. 6 is a block diagram of a virtual array element-based beam scanning apparatus according to an embodiment of the present application, where the apparatus includes the following modules:
the determining module 61 is configured to determine a position of a virtual array element according to a preset target expected direction and select an effective array element corresponding to the target expected direction;
a calculating module 62, configured to calculate a spatial phase difference between the effective array element and the virtual array element;
a configuration module 63, configured to configure phase compensation of the effective array element according to a spatial phase difference between the effective array element and the virtual array element;
and a scanning module 64, configured to perform beam scanning on a scanning area corresponding to the configured effective array element.
In one embodiment, as shown in fig. 7, the determining module 61 includes:
a first determining submodule 71, configured to determine a maximum radiation angle of each array element;
and a second determining submodule 72, configured to determine, as an effective array element, an array element capable of contributing to the array main beam based on the maximum radiation angle of each array element.
The above embodiments are only exemplary embodiments of the present application, and are not intended to limit the present application, and the protection scope of the present application is defined by the claims. Various modifications and equivalents may be made by those skilled in the art within the spirit and scope of the present application and such modifications and equivalents should also be considered to be within the scope of the present application.

Claims (10)

1. A method for scanning beams based on virtual array elements is characterized by comprising the following steps:
determining the position of a virtual array element according to a preset target expected direction and selecting an effective array element corresponding to the target expected direction;
calculating the space phase difference between the effective array elements and the virtual array elements;
configuring the phase compensation of the effective array elements according to the space phase difference between the effective array elements and the virtual array elements;
and carrying out beam scanning on the scanning area corresponding to the configured effective array element.
2. The method of claim 1, wherein the target desired direction is a desired direction of a main beam of the array formed when an active element is turned on, and the selecting an active element corresponding to the target desired direction comprises:
determining the maximum radiation angle of each array element;
and selecting the array element capable of contributing to the array main beam as an effective array element based on the maximum radiation angle of each array element.
3. The method of claim 1, wherein calculating a spatial phase difference between the active array elements and the virtual array elements comprises:
calculating the radius of the arc array antenna;
calculating the space stroke difference between the virtual array element and each effective array element based on the radius of the arc array antenna;
and calculating the space phase difference between the virtual array elements and each effective array element based on the space stroke difference between the virtual array elements and each effective array element.
4. The method of claim 3, wherein said calculating the arc array antenna radius comprises:
calculating the radius of the arc array antenna based on the following formula:
Figure FDA0002594489190000011
wherein M is the total number of array elements, dcThe distance between the array elements on the arc array antenna is shown, and phi is the aperture angle of the arc array antenna.
5. The method of claim 4, wherein calculating spatial run length differences between virtual array elements and respective active array elements based on the arc array antenna radii comprises:
substituting the calculated radius of the arc array antenna into the following formula to calculate the spatial travel difference between the virtual array element and each effective array element:
Figure FDA0002594489190000021
wherein the content of the first and second substances,
Figure FDA0002594489190000022
a circumferential angle corresponding to the ith array element; gamma is the target direction; and R is the radius of the arc array antenna.
6. The method of claim 5, wherein calculating a spatial phase difference between a virtual array element and each active array element based on a spatial path difference between the virtual array element and each active array element comprises:
calculating the spatial phase difference between the virtual array element and each effective array element according to the following formula:
Figure FDA0002594489190000023
wherein the content of the first and second substances,
Figure FDA0002594489190000024
the spatial phase difference between the ith array element and the 0 th array element, namely the virtual array elements is represented;
Figure FDA0002594489190000025
the central angle between the No. i array element and the No. 0 reference array element is shown; gamma is the target direction; dcRepresenting the space distance interval of any adjacent independent antenna array elements along the arc direction; m is the total number of array elements; phi is the aperture angle of the arc array antenna; λ is the signal wavelength.
7. The method of claim 1, wherein said configuring phase compensation of said active array elements based on spatial phase differences between said active array elements and said virtual array elements comprises:
obtaining the in-array phase difference required by each effective array element when the main beam of the arc array antenna is in the target expected direction according to the space phase difference between the effective array element and the virtual array element;
and performing phase shift control on each effective array element of the arc array antenna according to the phase difference in the array.
8. The method of claim 7, further comprising:
and after obtaining the intra-array phase difference in the arc-shaped array antenna, substituting the intra-array phase difference into an arc-shaped array antenna directional diagram function to express the antenna directional diagram function in beam scanning.
9. A virtual array element based beam scanning apparatus, comprising:
the determining module is used for determining the position of the virtual array element according to a preset target expected direction and selecting an effective array element corresponding to the target expected direction;
the calculation module is used for calculating the space phase difference between the effective array element and the virtual array element;
the configuration module is used for configuring the phase compensation of the effective array element according to the space phase difference between the effective array element and the virtual array element;
and the scanning module is used for carrying out beam scanning on a scanning area corresponding to the configured effective array element.
10. The method of claim 9, wherein the determining module comprises:
the first determining submodule is used for determining the maximum radiation angle of each array element;
and the second determining submodule is used for determining the array element capable of contributing to the array main beam as an effective array element based on the maximum radiation angle of each array element.
CN202010707543.2A 2020-07-21 2020-07-21 Beam scanning method and device based on virtual array element Pending CN111710993A (en)

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CN107104720A (en) * 2017-03-01 2017-08-29 浙江大学 The relatively prime array adaptive beamforming method rebuild based on covariance matrix virtual Domain discretization
CN107431518A (en) * 2015-03-06 2017-12-01 瑞典爱立信有限公司 Use the beam forming of aerial array
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Publication number Priority date Publication date Assignee Title
US5724044A (en) * 1994-01-10 1998-03-03 Mitsubishi Denki Kabushiki Kaisha Electrically scanning microwave radiometer
EP1865575A1 (en) * 2006-06-06 2007-12-12 Thales Cylindrical electronically scanned antenna
CN102904052A (en) * 2011-07-29 2013-01-30 深圳光启高等理工研究院 Artificial composite and artificial composite antenna
CN107431518A (en) * 2015-03-06 2017-12-01 瑞典爱立信有限公司 Use the beam forming of aerial array
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