CN115588852A - Correction method for calibration phase of calibration area of spherical phased array antenna - Google Patents

Correction method for calibration phase of calibration area of spherical phased array antenna Download PDF

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CN115588852A
CN115588852A CN202211588381.0A CN202211588381A CN115588852A CN 115588852 A CN115588852 A CN 115588852A CN 202211588381 A CN202211588381 A CN 202211588381A CN 115588852 A CN115588852 A CN 115588852A
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calibration
calibration area
phase
area
circle
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CN115588852B (en
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王文政
杜丹
扈景召
官劲
胡阳
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CETC 10 Research Institute
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    • 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
    • H01Q3/267Phased-array testing or checking devices
    • 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
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Abstract

The invention discloses a correction method of calibration phase of calibration area of spherical phased array antenna, which comprises the following steps: calibrating the phases of all calibration areas in the calibration area of the first circle layer to obtain the corrected phases of all calibration areas in the calibration area of the first circle layer; calibrating the phases of all calibration areas in the calibration area of the second circle layer based on the corrected phase of each calibration area in the calibration area of the first circle layer to obtain the corrected phase of each calibration area in the calibration area of the second circle layer; and calibrating the calibration area A to obtain a corrected phase of the calibration area A. The method can reduce the interval phase calibration error, is simple and reliable, consumes hardware resources, and can effectively reduce the accumulated error of phase calibration in the calibration area.

Description

Calibration phase correction method for calibration area of spherical phased array antenna
Technical Field
The invention relates to the technical field of spherical phased array antennas, in particular to a correction method for a calibration phase of a calibration area of a spherical phased array antenna.
Background
Due to the technical advantages of the multi-beam and multi-target working mode and the full airspace coverage, the spherical phased array antenna has more and more paid attention in the research of novel antennas in recent years, and becomes a hotspot research field of the novel antennas.
The core problem of the multi-beam spherical phased array antenna is the beam forming problem of the phased array antenna, wherein one key technology is a calibration technology for phase and amplitude consistency of array element channels of a spherical antenna array surface, and the calibration technology determines whether the phased array antenna can form effective beams or not. The spherical phased array antenna is different from the planar phased array antenna due to the shape of the spherical phased array antenna, the phase consistency calibration of the array element channel of the whole array surface cannot be completed by one calibration antenna, and the phase consistency of the array element channel is calibrated by a method of dividing the whole spherical surface into a plurality of calibration areas and erecting calibration antennas distributed around the spherical antenna array surface at the periphery of the spherical phased array antenna. Therefore, the calibration of the phase and amplitude consistency of the array element channel of the spherical phased array antenna is divided into two steps of calibration of the phase consistency of the array element channel of the array surface of each calibration area and calibration of the phase consistency between the calibration areas of each array surface. The phase consistency calibration between calibration areas can generally adopt two methods: 1. the channel consistency calibration of each calibration antenna is used to complete the consistency calibration of the phase between calibration areas. 2. The phase consistency of each calibration area is calibrated by using the maximum synthesis gain method of adjacent calibration areas. In the method 2, the phase value of the calibration area obtained by calibrating the calibration area can ensure that the maximum beam forming gain is obtained between the adjacent calibration areas, and the method has great technical advantages. When the phase of each calibration area is calibrated by using the maximum synthesis gain method, different recursion orders of the calibration areas can be selected, and the accumulated recursion phase errors caused by the different recursion orders are different.
Disclosure of Invention
Aiming at the problem of accumulated errors of phase calibration caused by recursion relation when the spherical phased array antenna performs phase calibration in a calibration area, the invention provides a calibration phase correction method of the calibration area of the spherical phased array antenna, which can reduce interval phase calibration errors. By utilizing the method, a spherical phased array antenna system meeting engineering requirements can be designed in engineering practice.
The invention discloses a correction method of calibration phase of calibration area of spherical phased array antenna, the calibration area of the spherical phased array antenna takes calibration area A as center, the calibration area is set up in two circle layers below the calibration area A, six calibration areas are evenly distributed on each circle, they are respectively calibration area A1, B1, C1, D1, E1, F1 of the first circle layer and calibration area A2, B2, C2, D2, E2, F2 of the second circle layer, wherein the adjacent relation of the calibration areas between the upper and lower circle layers is: the calibration area A is adjacent to calibration areas A1, B1, C1, D1, E1 and F1 of the first ring layer; the calibration area A1 of the first circle layer is adjacent to the calibration area A2 of the second circle layer; the calibration area B1 of the first circle layer is adjacent to the calibration area B2 of the second circle layer; the calibration area C1 of the first circle layer is adjacent to the calibration area C2 of the second circle layer; the calibration area D1 of the first circle of layer is adjacent to the calibration area D2 of the second circle of layer; the calibration area E1 of the first circle layer is adjacent to the calibration area E2 of the second circle layer; the calibration area F1 of the first circle layer is adjacent to the calibration area F2 of the second circle layer;
the method comprises the following steps:
step 1: calibrating the phases of all calibration areas in the calibration area of the first circle layer to obtain the corrected phases of all calibration areas in the calibration area of the first circle layer;
step 2: calibrating the phases of all calibration areas in the calibration area of the second circle layer based on the corrected phase of each calibration area in the calibration area of the first circle layer to obtain the corrected phase of each calibration area in the calibration area of the second circle layer;
and 3, step 3: and calibrating the calibration area A to obtain a corrected phase of the calibration area A.
Furthermore, each calibration area in each circle layer from the calibration area of the first circle layer to the calibration area of the second circle layer is respectively adjacent to two calibration areas which are positioned on the same circle layer and adjacent circle layers;
using two adjacent calibration areas respectivelySynthesizing the same calibration antenna beam, respectively measuring the phases of two synthesized beam signals by using channel calibration equipment, and obtaining the transmission phases of two adjacent calibration areas by taking the difference value of the two phases; the calibration area A or the calibration area A1 respectively carries out beam forming on the same calibration antenna, and then the signals after beam forming are sent to channel phase calibration equipment to obtain the phase of beam forming of the calibration area A
Figure 122375DEST_PATH_IMAGE001
Phase of beam synthesis with calibration area A1
Figure 428723DEST_PATH_IMAGE002
Transfer phase from calibration area A to calibration area A1
Figure 729254DEST_PATH_IMAGE003
Comprises the following steps:
Figure 562081DEST_PATH_IMAGE004
the transfer phase of any two adjacent calibration areas can be obtained in the same manner.
Further, the step 1 comprises:
step 1-1: acquiring initial phases and accumulated errors of phase transmission of all calibration areas in the calibration areas of the first circle of layers;
step 1-2: and obtaining the corrected phases of all calibration areas in the calibration area of the first circle layer based on the initial phase and the accumulated error of phase transmission in the step 1-1.
Further, the step 1-1 includes:
taking any one of the calibration areas of the first circle layer as a calibration area A1, and taking the calibration area A1 as an initial, respectively obtaining the transmission phase between two adjacent calibration areas in the calibration area of the first circle layer according to the clockwise direction, wherein the calibration areas of the first circle layer are arranged according to the clockwise direction: A1-B1-C1-D1-E1-F1-A1, the first circle layer has 6 calibration areas;
based on all the obtained phase differences, calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the first circle layer according to the following formula:
Figure 922655DEST_PATH_IMAGE005
wherein the content of the first and second substances,
Figure 716299DEST_PATH_IMAGE006
a correction phase for the calibration area A1;
Figure 820521DEST_PATH_IMAGE007
Figure 773434DEST_PATH_IMAGE008
is the initial phase of the first circle layer calibration areas B1-F1;
Figure 304909DEST_PATH_IMAGE009
the transfer phase from the calibration area A1 to the calibration area B1;
Figure 585849DEST_PATH_IMAGE010
the transfer phase from the calibration area B1 to the calibration area C1;
Figure 24920DEST_PATH_IMAGE011
the transfer phase from the calibration area C1 to the calibration area D1;
Figure 770023DEST_PATH_IMAGE012
the transfer phase from the calibration area D1 to the calibration area E1;
Figure 410082DEST_PATH_IMAGE013
the transfer phase from the calibration area E1 to the calibration area F1;
Figure 240635DEST_PATH_IMAGE014
the transfer phase from the calibration area F1 to the calibration area A1;
Figure 748977DEST_PATH_IMAGE015
is the accumulated error of the phase transfer of the calibration area of the first layer turn.
Further, the step 1-2 comprises:
and calculating the correction phase of the calibration area in the calibration area of the first circle layer according to the following formula:
Figure 614165DEST_PATH_IMAGE016
wherein:
Figure 425126DEST_PATH_IMAGE017
Figure 477396DEST_PATH_IMAGE018
are the corrected phases of the first lap calibration areas B1-F1.
Further, the step 2 comprises:
step 2-1: acquiring recursion phases of all calibration areas in the calibration areas of the second circle of layers;
step 2-2: calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the second circle layer;
step 2-3: calculating the optimized phase of the calibration area in the calibration area of the second circle layer;
step 2-4: and calculating the correction phase of each calibration area in the calibration area of the second circle of layer.
Further, the step 2-1 comprises:
and calibrating according to A1-A2, B1-B2, C1-C2, D1-D2, E1-E2 and F1-F2 to obtain the transmission phase of the adjacent calibration area, and calculating the recursion phase of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 789428DEST_PATH_IMAGE019
wherein:
Figure 509123DEST_PATH_IMAGE020
is the correction phase of the calibration area A2;
Figure 493915DEST_PATH_IMAGE021
~
Figure 33480DEST_PATH_IMAGE022
recursion phases of calibration areas B2-F2 of the second circle layer are set;
Figure 883625DEST_PATH_IMAGE023
the transfer phase from the calibration area A1 to the calibration area A2;
Figure 129929DEST_PATH_IMAGE024
the transfer phase from the calibration area B1 to the calibration area B2;
Figure 345010DEST_PATH_IMAGE025
the transfer phase from the calibration area C1 to the calibration area C2;
Figure 699768DEST_PATH_IMAGE026
the transfer phase from the calibration area D1 to the calibration area D2;
Figure 291286DEST_PATH_IMAGE027
the transfer phase from the calibration area E1 to the calibration area E2;
Figure 657677DEST_PATH_IMAGE028
the transfer phase from the calibration region F1 to the calibration region F2.
Further, the step 2-2 comprises:
finishing calibration of the phase of the calibration area for the second circle according to the sequence of A2-B2-C2-D2-E2-F2-A2, and calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 43659DEST_PATH_IMAGE029
wherein:
Figure 620134DEST_PATH_IMAGE030
Figure 749764DEST_PATH_IMAGE031
is the initial phase of the calibration areas B2-F2 of the second circle layer;
Figure 236240DEST_PATH_IMAGE032
the transfer phase from the calibration area A2 to the calibration area B2;
Figure 793123DEST_PATH_IMAGE033
the transfer phase from the calibration area B2 to the calibration area C2;
Figure 856894DEST_PATH_IMAGE034
the transfer phase from the calibration area C2 to the calibration area D2;
Figure 790215DEST_PATH_IMAGE035
the transfer phase from the calibration area D2 to the calibration area E2;
Figure 131198DEST_PATH_IMAGE036
the transfer phase from the calibration area E2 to the calibration area F2;
Figure 858982DEST_PATH_IMAGE037
the transfer phase from the calibration area F2 to the calibration area A2;
Figure 410049DEST_PATH_IMAGE038
the accumulated error is passed for the phase of the second layer turn.
Further, the step 2-3 comprises:
and calculating the optimized phase of the calibration area in the calibration area of the second circle layer according to the following formula:
Figure 819165DEST_PATH_IMAGE039
wherein:
Figure 76971DEST_PATH_IMAGE040
~
Figure 37974DEST_PATH_IMAGE041
the optimized phases of the calibration areas B2-F2 of the second circle layer,
the steps 2-4 comprise:
and calculating the correction phase of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 686124DEST_PATH_IMAGE043
wherein:
Figure 961247DEST_PATH_IMAGE040
~
Figure 135877DEST_PATH_IMAGE041
the corrected phases of the calibration areas B2-F2 of the second circle layer.
Further, the step 3 comprises:
step 3-1: respectively calibrating the transmission phase of the calibration area A and 6 adjacent calibration areas according to the sequence of A1-A, B1-A, C1-A, D1-A, E1-A and F1-A, and respectively calculating the phase recursion value from each calibration area to the calibration area A in the calibration area of the first circle layer by the following formula:
Figure 471043DEST_PATH_IMAGE044
wherein:
Figure 606489DEST_PATH_IMAGE045
Figure 685304DEST_PATH_IMAGE046
the calibration area phase recursion value is recurred from the first circle layer calibration areas A1-F1 to the ball top calibration area A;
Figure 448861DEST_PATH_IMAGE047
the transfer phase from the calibration area A1 to the calibration area A;
Figure 889682DEST_PATH_IMAGE048
the transfer phase from the calibration area B1 to the calibration area A;
Figure 574741DEST_PATH_IMAGE049
the transfer phase from the calibration area C1 to the calibration area A;
Figure 253984DEST_PATH_IMAGE050
the transfer phase from the calibration area D1 to the calibration area A;
Figure 340889DEST_PATH_IMAGE051
the transfer phase from the calibration area E1 to the calibration area A;
Figure 955541DEST_PATH_IMAGE052
the transfer phase from the calibration area F1 to the calibration area A;
step 3-2: the correction phase of the calibration area a is calculated by the following formula:
Figure 127896DEST_PATH_IMAGE053
wherein the content of the first and second substances,
Figure 610830DEST_PATH_IMAGE054
to calibrate the corrected phase for region a.
Due to the adoption of the technical scheme, the invention has the following advantages:
(1) The beam forming performance of the spherical phased array antenna is improved. The invention obtains the accurate phase calibration value between the spherical phased array antenna areas by calibrating the phase between the areas of the spherical phased array antenna according to the specific area sequence and deducting the recursion accumulated phase error by adopting the method. The influence of the calibration error of the spherical phased array antenna area phase on the performance of the phased array antenna is reduced. The method solves a key problem in the application of the spherical phased array antenna system.
(2) The method is simple to realize, occupies less resources and reduces the design cost of the system. The invention does not need complex circuit, and the realization method is simpler. The method only utilizes the original equipment of the system without adding additional equipment, realizes the inter-area phase correction function through a software algorithm, is convenient for automatic operation, and reduces the design cost of the system.
(3) The invention has simple and fast operation and is convenient for system design. The method has simple operation flow, provides specific quantitative indexes for the design of the spherical phased array system, provides specific factors influencing the quantitative indexes, and is convenient for optimization and selection according to specific conditions during the design of the spherical phased array antenna.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments described in the embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings.
FIG. 1 is a schematic diagram of a calibration area layout of a spherical phased array antenna according to an embodiment of the present invention;
FIG. 2 is a calibration diagram of the propagation phases of adjacent calibration areas of a spherical phased array antenna according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a calibration sequence for calibrating the phase of the calibration area according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of a calibration sequence for calibrating the phase of the calibration area according to another embodiment of the present invention;
fig. 5 is a schematic diagram of a calibration sequence for calibrating a calibration area phase of the calibration area a according to an embodiment of the present invention;
fig. 6 is a schematic diagram of a calibration sequence for calibrating a calibration area phase of a spherical phased array antenna according to an embodiment of the present invention.
Detailed Description
The present invention will be further described with reference to the accompanying drawings and examples, it being understood that the examples described are only some of the examples and are not intended to limit the invention to the embodiments described herein. All other embodiments available to those of ordinary skill in the art are intended to be within the scope of the embodiments of the present invention.
Referring to fig. 1, firstly, the spherical array divides the corresponding calibration area at the full array according to the distribution of the calibration antenna, usually, one calibration area a is arranged at the top, the calibration area is arranged below the top in circles, in fig. 1, the calibration area is arranged below the calibration area a in two circles, six calibration areas are uniformly distributed on each circle, and the calibration areas are respectively A1, B1, C1, D1, E1, F1 of the first circle and A2, B2, C2, D2, E2, F2 of the second circle. The calibration regional phase correction method provided by the patent is suitable for calibration regional phase correction of uplink signals and calibration regional phase correction of downlink signals, and a special description is not provided below.
Referring to fig. 2, two adjacent calibration areas are used to respectively perform beam synthesis on the same calibration antenna, and channel calibration equipment is used to respectively measure the phases of two synthesized beam signals, and then the transmission phases of the two adjacent calibration areas are obtained by taking the difference value between the two phases. For example, the calibration area A or the calibration area A1 respectively performs beam forming on the same calibration antenna, and then sends the signals after beam forming to the channel phase calibration device to obtain the phase of beam forming in the calibration area A
Figure 552241DEST_PATH_IMAGE001
Phase of beam synthesis with calibration area A1
Figure 337795DEST_PATH_IMAGE002
. Transfer phase from calibration area A to calibration area A1
Figure 997446DEST_PATH_IMAGE003
Comprises the following steps:
Figure 18492DEST_PATH_IMAGE004
the transfer phase of any two adjacent calibration areas can be obtained in the same manner.
Referring to fig. 3, the first step of calibration of the calibration area is as follows: the sequence of A1-B1-C1-D1-E1-F1-A1 completes the calibration area phase calibration of the first circle: the calibration area phase of the calibration area A1 is set to be in the middle A1 =0, firstly, calibrating the transmission phase between adjacent calibration areas in the first circle, such as the transmission phase of the calibration area B1 and the calibration area A1
Figure 79989DEST_PATH_IMAGE055
The transfer phase of the calibration area C1 and the calibration area B1
Figure 770864DEST_PATH_IMAGE056
The transfer phase of the calibration area D1 and the calibration area C1
Figure 917812DEST_PATH_IMAGE057
The transfer phase of the calibration area E1 and the calibration area D1
Figure 742548DEST_PATH_IMAGE058
Transfer phase of calibration region F1 and calibration region E1
Figure 658552DEST_PATH_IMAGE059
Transfer phase of calibration area A1 and calibration area F1
Figure 520328DEST_PATH_IMAGE060
. And then obtaining the phase value of each calibration area of the initial first turn according to the following algorithm:
Figure 951310DEST_PATH_IMAGE061
wherein
Figure 251841DEST_PATH_IMAGE062
Is the corrected phase of the calibration area A1,
Figure 225613DEST_PATH_IMAGE007
Figure 586187DEST_PATH_IMAGE008
is the initial phase of the first ring layer calibration areas B1-F1,
Figure 504465DEST_PATH_IMAGE063
is the accumulated error of the phase transfer of the calibration area of the first layer turn.
The phase transfer accumulated error is subtracted according to the following algorithm to obtain a more accurate calibration area phase value of the first ring:
Figure 608687DEST_PATH_IMAGE016
referring to fig. 4, the second step of the calibration area calibration is to calibrate the calibration area for the calibration areas A2, B2, C2, D2, E2, and F2 in the second round. Firstly, the phase difference of adjacent calibration areas is obtained according to calibration of A1-A2, B1-B2, C1-C2, D1-D2, E1-E2 and F1-F2, such as the transmission phase of the calibration area A2 and the calibration area A1
Figure 436966DEST_PATH_IMAGE023
The transfer phase of the calibration region B2 and the calibration region B1
Figure 968441DEST_PATH_IMAGE024
The transfer phase of the calibration area C2 and the calibration area C1
Figure 108436DEST_PATH_IMAGE025
The transfer phase of the calibration region D2 and the calibration region D1
Figure 688453DEST_PATH_IMAGE026
The transfer phase of the calibration area E2 and the calibration area E1
Figure 433555DEST_PATH_IMAGE027
Transfer phase of calibration region F2 and calibration region F1
Figure 198249DEST_PATH_IMAGE028
. Further according to the followingAnd (3) obtaining a direct recursion value of each calibration area phase in the second round by the algorithm:
Figure 28801DEST_PATH_IMAGE064
wherein:
Figure 403720DEST_PATH_IMAGE020
is the calibration area phase of the calibration area A2,
Figure 3329DEST_PATH_IMAGE021
Figure 938924DEST_PATH_IMAGE022
the direct recursion values of the calibration area phases of the calibration areas B2-F2 are obtained.
Then, completing the calibration regional phase calibration of a second circle by using the sequence of A2-B2-C2-D2-E2-F2-A2: the calibration area phase of the calibration area A2 is set to be in A2 The calibration is obtained by calibrating the adjacent calibration area from the upper part to the calibration area A1, and the transfer phase calibration between the adjacent calibration areas of the first circle is firstly carried out, such as the transfer phase calibration of the calibration area B2 and the calibration area A2
Figure 256773DEST_PATH_IMAGE032
The transfer phase of the calibration area C2 and the calibration area B2
Figure 444171DEST_PATH_IMAGE033
The transfer phase of the calibration area D2 and the calibration area C2
Figure 695024DEST_PATH_IMAGE034
The transfer phase of the calibration area E2 and the calibration area D2
Figure 739204DEST_PATH_IMAGE035
Transfer phase of calibration region F2 and calibration region E2
Figure 482032DEST_PATH_IMAGE036
Calibration areaTransfer phase of A2 and calibration region F2
Figure 269859DEST_PATH_IMAGE037
. And then obtaining the initial calibration area phase value of each calibration area of the second round according to the following algorithm:
Figure 906377DEST_PATH_IMAGE029
wherein:
Figure 387037DEST_PATH_IMAGE020
is the calibration area phase of the calibration area A2,
Figure 351582DEST_PATH_IMAGE030
Figure 677521DEST_PATH_IMAGE031
is the initial phase of the calibration regions B2 to F2,
Figure 168545DEST_PATH_IMAGE038
is the accumulated error of the phase transfer of the calibration area of the second circle layer;
and subtracting the accumulated error of the phase transmission according to the following algorithm to obtain a more accurate calibration area phase value of each calibration area of the second circle:
Figure 820106DEST_PATH_IMAGE039
wherein: in the middle A2 Is the calibration area phase of the calibration area A2, which is thinner than' B2 ~Ø′′ E2 The calibration region phases of the calibration regions B2 to F2,
finally, the phase of each calibration area of the second round obtained by direct calibration area phase transmission and the phase of each calibration area of the second round obtained by direct calibration area phase transmission are averaged to obtain the final phase value of each calibration area of the second round:
Figure 271947DEST_PATH_IMAGE043
wherein:
Figure 401577DEST_PATH_IMAGE065
Figure 747108DEST_PATH_IMAGE066
the calibration area phases of the calibration areas B2-F2,
referring to fig. 5, the third step of calibrating the calibration area is to calibrate the calibration area a. Firstly, the transfer phases of the calibration area A and 6 adjacent calibration areas are respectively calibrated according to the sequence of A1-A, B1-A, C1-A, D1-A, E1-A and F1-A, such as the transfer phases of the calibration area A and the calibration area A1
Figure 241674DEST_PATH_IMAGE047
Transfer phase of calibration area A and calibration area B1
Figure 508708DEST_PATH_IMAGE048
The transfer phase of the calibration area A and the calibration area C1
Figure 238766DEST_PATH_IMAGE049
The transfer phase of the calibration area A and the calibration area D1
Figure 642066DEST_PATH_IMAGE050
Transfer phase of calibration area A and calibration area E1
Figure 307533DEST_PATH_IMAGE051
Transfer phase of calibration area A and calibration area F1
Figure 796284DEST_PATH_IMAGE052
. And then obtaining each phase value of the phase transmission from each calibration area of the first ring to the calibration area A according to the following algorithm:
Figure 330033DEST_PATH_IMAGE067
wherein:
Figure 587839DEST_PATH_IMAGE045
Figure 955366DEST_PATH_IMAGE046
the calibration area phase recursion value is recurred from the calibration areas A1-F1 to the calibration area A of the ball top.
Then the accurate calibration area phase value of the calibration area A can be obtained through algorithm averaging
Figure 600587DEST_PATH_IMAGE068
Figure 672448DEST_PATH_IMAGE053
Referring to fig. 6, the calibration area phase calibration sequence of the whole spherical array is to calibrate the calibration area phase of six calibration areas of the first circle A1-B1-C1-D1-E1-F1 in the first step, calibrate the calibration area phase of six calibration areas of the first circle A2-B2-C2-D2-E2-F2 in the second step, and calibrate the calibration area phase of the calibration area a in the third step. And finally, calibrating area phases of all calibrating areas of the whole spherical array are obtained. If the spherical array is divided into more rounds and the calibration area can be processed according to the method given above.
Finally, it should be noted that: although the present invention has been described in detail with reference to the above embodiments, it should be understood by those skilled in the art that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.

Claims (10)

1. The utility model provides a spherical phased array antenna mark correction regional mark correction phase place's correction method, its characterized in that, the mark correction regional of spherical phased array antenna uses mark correction regional A as the center, marks correction regional A following two circle layers of branch and sets up mark correction region, six mark correction regions of evenly distributed on every circle, respectively be the A1, B1, C1, D1, E1, F1 mark correction region on first circle layer and the A2, B2, C2, D2, E2, F2 on second circle layer, wherein mark the adjacent relation in correction region between the upper and lower circle layer and be: the calibration area A is adjacent to calibration areas A1, B1, C1, D1, E1 and F1 of the first ring layer; the calibration area A1 of the first circle layer is adjacent to the calibration area A2 of the second circle layer; the calibration area B1 of the first circle layer is adjacent to the calibration area B2 of the second circle layer; the calibration area C1 of the first circle layer is adjacent to the calibration area C2 of the second circle layer; the calibration area D1 of the first circle layer is adjacent to the calibration area D2 of the second circle layer; the calibration area E1 of the first circle layer is adjacent to the calibration area E2 of the second circle layer; the calibration area F1 of the first circle layer is adjacent to the calibration area F2 of the second circle layer;
the method comprises the following steps:
step 1: calibrating the phases of all calibration areas in the calibration area of the first circle layer to obtain the corrected phase of each calibration area in the calibration area of the first circle layer;
step 2: calibrating the phases of all calibration areas in the calibration area of the second circle layer based on the corrected phases of the calibration areas in the calibration area of the first circle layer to obtain the corrected phases of the calibration areas in the calibration area of the second circle layer;
and step 3: and calibrating the calibration area A to obtain a corrected phase of the calibration area A.
2. The method according to claim 1, wherein each calibration area in each of the calibration areas of the first circle layer to the second circle layer is adjacent to two calibration areas located in the same circle layer and adjacent circle layers;
using two adjacent calibration areas to respectively synthesize the same calibration antenna beam, using channel calibration equipment to respectively measure the phases of two synthesized beam signals, and obtaining the transmission phases of the two adjacent calibration areas by taking the difference value of the two phases; the calibration area A or calibration area A1 is divided intoRespectively carrying out beam forming on the same calibration antenna, and sending the signals subjected to beam forming to channel phase calibration equipment to obtain the phase of beam forming in the calibration area A
Figure 281086DEST_PATH_IMAGE001
Phase of beam synthesis with calibration area A1
Figure 686660DEST_PATH_IMAGE002
Transfer phase from calibration area A to calibration area A1
Figure 266677DEST_PATH_IMAGE003
Comprises the following steps:
Figure 11779DEST_PATH_IMAGE004
the propagation phases of any two adjacent calibration regions can be obtained in the same manner.
3. The method of claim 2, wherein step 1 comprises:
step 1-1: acquiring initial phases and accumulated errors of phase transmission of all calibration areas in the calibration areas of the first circle of layers;
step 1-2: and obtaining the corrected phases of all calibration areas in the calibration area of the first circle layer based on the initial phase and the accumulated error of phase transmission in the step 1-1.
4. The method of claim 3, wherein the step 1-1 comprises:
with any one of the calibration areas of the first circle of layers, marking as a calibration area A1, starting with the calibration area A1, respectively obtaining the transmission phase between two adjacent calibration areas in the calibration area of the first circle of layers in the clockwise direction, wherein the calibration areas of the first circle of layers are arranged in the clockwise direction: A1-B1-C1-D1-E1-F1-A1, the first circle layer has 6 calibration areas;
based on all the obtained phase differences, calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the first circle of layers according to the following formula:
Figure 776473DEST_PATH_IMAGE005
wherein the content of the first and second substances,
Figure 607025DEST_PATH_IMAGE006
a correction phase for the calibration area A1;
Figure 725154DEST_PATH_IMAGE007
Figure 590342DEST_PATH_IMAGE008
is the initial phase of the first circle layer calibration areas B1-F1;
Figure 525937DEST_PATH_IMAGE009
the transfer phase from the calibration area A1 to the calibration area B1;
Figure 843786DEST_PATH_IMAGE010
the transfer phase from the calibration area B1 to the calibration area C1;
Figure 765605DEST_PATH_IMAGE011
the transfer phase from the calibration area C1 to the calibration area D1;
Figure 485300DEST_PATH_IMAGE012
the transfer phase from the calibration area D1 to the calibration area E1;
Figure 591796DEST_PATH_IMAGE013
the transfer phase from the calibration area E1 to the calibration area F1;
Figure 396941DEST_PATH_IMAGE014
the transfer phase from the calibration area F1 to the calibration area A1;
Figure 119522DEST_PATH_IMAGE015
is the accumulated error of the phase transfer of the calibration area of the first layer turn.
5. The method of claim 4, wherein the steps 1-2 comprise:
and calculating the correction phase of the calibration area in the calibration area of the first circle layer according to the following formula:
Figure 490460DEST_PATH_IMAGE016
wherein:
Figure 705541DEST_PATH_IMAGE017
Figure 670086DEST_PATH_IMAGE018
are the corrected phases of the first lap calibration areas B1 to F1.
6. The method of claim 5, wherein the step 2 comprises:
step 2-1: acquiring recursion phases of all calibration areas in the calibration areas of the second circle of layers;
step 2-2: calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the second circle layer;
step 2-3: calculating the optimized phase of the calibration area in the calibration area of the second circle layer;
step 2-4: and calculating the correction phase of each calibration area in the calibration area of the second circle of layer.
7. The method of claim 6, wherein the step 2-1 comprises:
calibrating according to A1-A2, B1-B2, C1-C2, D1-D2, E1-E2 and F1-F2 to obtain the transmission phase of the adjacent calibration areas, and calculating the recursion phase of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 261604DEST_PATH_IMAGE019
wherein:
Figure 752629DEST_PATH_IMAGE020
is the correction phase of the calibration area A2;
Figure 138610DEST_PATH_IMAGE021
~
Figure 856031DEST_PATH_IMAGE022
recursion phases of calibration areas B2-F2 of the second circle layer are set;
Figure 985661DEST_PATH_IMAGE023
the transfer phase from the calibration area A1 to the calibration area A2;
Figure 331191DEST_PATH_IMAGE024
the transfer phase from the calibration area B1 to the calibration area B2;
Figure 825758DEST_PATH_IMAGE025
the transfer phase from the calibration area C1 to the calibration area C2;
Figure 827212DEST_PATH_IMAGE026
the transfer phase from the calibration area D1 to the calibration area D2;
Figure 760533DEST_PATH_IMAGE027
the transfer phase from the calibration area E1 to the calibration area E2;
Figure 960570DEST_PATH_IMAGE028
the transfer phase of the calibration region F1 to the calibration region F2.
8. The method of claim 7, wherein the step 2-2 comprises:
finishing calibration of the phase of the calibration area for the second circle according to the sequence of A2-B2-C2-D2-E2-F2-A2, and calculating the initial phase and the accumulated error of phase transmission of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 891617DEST_PATH_IMAGE029
wherein:
Figure 114788DEST_PATH_IMAGE030
Figure 914117DEST_PATH_IMAGE031
is the initial phase of the calibration areas B2-F2 of the second circle layer;
Figure 171923DEST_PATH_IMAGE032
the transfer phase from the calibration area A2 to the calibration area B2;
Figure 8292DEST_PATH_IMAGE033
the transfer phase from the calibration area B2 to the calibration area C2;
Figure 781076DEST_PATH_IMAGE034
the transfer phase from the calibration area C2 to the calibration area D2;
Figure 56199DEST_PATH_IMAGE035
the transfer phase from the calibration area D2 to the calibration area E2;
Figure 106195DEST_PATH_IMAGE036
for passing from calibration area E2 to calibration area F2Phase stepping;
Figure 706940DEST_PATH_IMAGE037
the transfer phase from the calibration area F2 to the calibration area A2;
Figure 904703DEST_PATH_IMAGE038
the accumulated error is transferred for the phase of the second turn layer.
9. The method according to claim 8, wherein the steps 2-3 comprise:
and calculating the optimized phase of the calibration area in the calibration area of the second circle layer according to the following formula:
Figure 45835DEST_PATH_IMAGE039
wherein:
Figure 950337DEST_PATH_IMAGE040
~
Figure 190825DEST_PATH_IMAGE041
the optimized phases of the calibration areas B2-F2 of the second circle layer,
the steps 2-4 comprise:
and calculating the correction phase of each calibration area in the calibration area of the second circle layer according to the following formula:
Figure 820707DEST_PATH_IMAGE043
wherein:
Figure 848224DEST_PATH_IMAGE040
~
Figure 56352DEST_PATH_IMAGE041
and correcting the phases of the calibration areas B2-F2 of the second circle layer.
10. The method of claim 7, wherein step 3 comprises:
step 3-1: respectively calibrating the transmission phase of the calibration area A and 6 adjacent calibration areas according to the sequence of A1-A, B1-A, C1-A, D1-A, E1-A and F1-A, and respectively calculating the phase recursion value from each calibration area to the calibration area A in the calibration area of the first circle layer by the following formula:
Figure 494286DEST_PATH_IMAGE044
wherein:
Figure 914903DEST_PATH_IMAGE045
Figure 793998DEST_PATH_IMAGE046
the calibration area phase recursion value is recurred from the first circle layer calibration areas A1-F1 to the ball top calibration area A;
Figure 641868DEST_PATH_IMAGE047
the transfer phase from the calibration area A1 to the calibration area A;
Figure 363836DEST_PATH_IMAGE048
the transfer phase from the calibration area B1 to the calibration area A;
Figure 322565DEST_PATH_IMAGE049
the transfer phase from the calibration area C1 to the calibration area A;
Figure 56166DEST_PATH_IMAGE050
the transfer phase from the calibration area D1 to the calibration area A;
Figure 137254DEST_PATH_IMAGE051
as a calibration areaE1 to the calibration area A;
Figure 18623DEST_PATH_IMAGE052
the transfer phase from the calibration area F1 to the calibration area A;
step 3-2: the correction phase of the calibration area a is calculated by the following formula:
Figure 718725DEST_PATH_IMAGE053
wherein the content of the first and second substances,
Figure 634729DEST_PATH_IMAGE054
to calibrate the corrected phase for region a.
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