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 PDFInfo
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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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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q3/00—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
- H01Q3/26—Arrangements 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
- H01Q3/267—Phased-array testing or checking devices
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q3/00—Arrangements for changing or varying the orientation or the shape of the directional pattern of the waves radiated from an antenna or antenna system
- H01Q3/26—Arrangements 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
- H01Q3/30—Arrangements 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
- H01Q3/34—Arrangements 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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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
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 APhase of beam synthesis with calibration area A1Transfer phase from calibration area A to calibration area A1Comprises the following steps:
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:
wherein the content of the first and second substances,a correction phase for the calibration area A1;~is the initial phase of the first circle layer calibration areas B1-F1;the transfer phase from the calibration area A1 to the calibration area B1;the transfer phase from the calibration area B1 to the calibration area C1;the transfer phase from the calibration area C1 to the calibration area D1;the transfer phase from the calibration area D1 to the calibration area E1;the transfer phase from the calibration area E1 to the calibration area F1;the transfer phase from the calibration area F1 to the calibration area A1;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:
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:
wherein:is the correction phase of the calibration area A2;~recursion phases of calibration areas B2-F2 of the second circle layer are set;the transfer phase from the calibration area A1 to the calibration area A2;the transfer phase from the calibration area B1 to the calibration area B2;the transfer phase from the calibration area C1 to the calibration area C2;the transfer phase from the calibration area D1 to the calibration area D2;the transfer phase from the calibration area E1 to the calibration area E2;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:
wherein:~is the initial phase of the calibration areas B2-F2 of the second circle layer;the transfer phase from the calibration area A2 to the calibration area B2;the transfer phase from the calibration area B2 to the calibration area C2;the transfer phase from the calibration area C2 to the calibration area D2;the transfer phase from the calibration area D2 to the calibration area E2;the transfer phase from the calibration area E2 to the calibration area F2;the transfer phase from the calibration area F2 to the calibration area A2;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:
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:
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:
wherein:~the calibration area phase recursion value is recurred from the first circle layer calibration areas A1-F1 to the ball top calibration area A;the transfer phase from the calibration area A1 to the calibration area A;the transfer phase from the calibration area B1 to the calibration area A;the transfer phase from the calibration area C1 to the calibration area A;the transfer phase from the calibration area D1 to the calibration area A;the transfer phase from the calibration area E1 to the calibration area A;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:
wherein the content of the first and second substances,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 APhase of beam synthesis with calibration area A1. Transfer phase from calibration area A to calibration area A1Comprises the following steps:
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 A1The transfer phase of the calibration area C1 and the calibration area B1The transfer phase of the calibration area D1 and the calibration area C1The transfer phase of the calibration area E1 and the calibration area D1Transfer phase of calibration region F1 and calibration region E1Transfer phase of calibration area A1 and calibration area F1. And then obtaining the phase value of each calibration area of the initial first turn according to the following algorithm:
whereinIs the corrected phase of the calibration area A1,~is the initial phase of the first ring layer calibration areas B1-F1,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:
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 A1The transfer phase of the calibration region B2 and the calibration region B1The transfer phase of the calibration area C2 and the calibration area C1The transfer phase of the calibration region D2 and the calibration region D1The transfer phase of the calibration area E2 and the calibration area E1Transfer phase of calibration region F2 and calibration region F1. Further according to the followingAnd (3) obtaining a direct recursion value of each calibration area phase in the second round by the algorithm:
wherein:is the calibration area phase of the calibration area A2,~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 A2The transfer phase of the calibration area C2 and the calibration area B2The transfer phase of the calibration area D2 and the calibration area C2The transfer phase of the calibration area E2 and the calibration area D2Transfer phase of calibration region F2 and calibration region E2Calibration areaTransfer phase of A2 and calibration region F2. And then obtaining the initial calibration area phase value of each calibration area of the second round according to the following algorithm:
wherein:is the calibration area phase of the calibration area A2,~is the initial phase of the calibration regions B2 to F2,
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:
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:
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 A1Transfer phase of calibration area A and calibration area B1The transfer phase of the calibration area A and the calibration area C1The transfer phase of the calibration area A and the calibration area D1Transfer phase of calibration area A and calibration area E1Transfer phase of calibration area A and calibration area F1. 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:
wherein:~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:
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 APhase of beam synthesis with calibration area A1Transfer phase from calibration area A to calibration area A1Comprises the following steps:
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:
wherein the content of the first and second substances,a correction phase for the calibration area A1;~is the initial phase of the first circle layer calibration areas B1-F1;the transfer phase from the calibration area A1 to the calibration area B1;the transfer phase from the calibration area B1 to the calibration area C1;the transfer phase from the calibration area C1 to the calibration area D1;the transfer phase from the calibration area D1 to the calibration area E1;the transfer phase from the calibration area E1 to the calibration area F1;the transfer phase from the calibration area F1 to the calibration area A1;is the accumulated error of the phase transfer of the calibration area of the first layer turn.
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:
wherein:is the correction phase of the calibration area A2;~recursion phases of calibration areas B2-F2 of the second circle layer are set;the transfer phase from the calibration area A1 to the calibration area A2;the transfer phase from the calibration area B1 to the calibration area B2;the transfer phase from the calibration area C1 to the calibration area C2;the transfer phase from the calibration area D1 to the calibration area D2;the transfer phase from the calibration area E1 to the calibration area E2;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:
wherein:~is the initial phase of the calibration areas B2-F2 of the second circle layer;the transfer phase from the calibration area A2 to the calibration area B2;the transfer phase from the calibration area B2 to the calibration area C2;the transfer phase from the calibration area C2 to the calibration area D2;the transfer phase from the calibration area D2 to the calibration area E2;for passing from calibration area E2 to calibration area F2Phase stepping;the transfer phase from the calibration area F2 to the calibration area A2;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:
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:
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:
wherein:~the calibration area phase recursion value is recurred from the first circle layer calibration areas A1-F1 to the ball top calibration area A;the transfer phase from the calibration area A1 to the calibration area A;the transfer phase from the calibration area B1 to the calibration area A;the transfer phase from the calibration area C1 to the calibration area A;the transfer phase from the calibration area D1 to the calibration area A;as a calibration areaE1 to the calibration area A;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:
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