CN109239736A - A kind of phase array antenna beam error in pointing modification method - Google Patents
A kind of phase array antenna beam error in pointing modification method Download PDFInfo
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- CN109239736A CN109239736A CN201810850178.3A CN201810850178A CN109239736A CN 109239736 A CN109239736 A CN 109239736A CN 201810850178 A CN201810850178 A CN 201810850178A CN 109239736 A CN109239736 A CN 109239736A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/13—Receivers
- G01S19/23—Testing, monitoring, correcting or calibrating of receiver elements
- G01S19/235—Calibration of receiver components
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
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- Y—GENERAL 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
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- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
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- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
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Abstract
The invention proposes a kind of phase array antenna beam error in pointing modification method based on linear interpolation.This method is as a part in the calculating of extensive phase array antenna beam control code, realize the error correction function of antenna beam direction, and significantly reduce computation complexity, conducive to FPGA realization, antenna beam is relatively narrow, the demanding phased array antenna application field of error in pointing has very strong practicability.
Description
Technical field
The present invention relates to a kind of calculating of extensive phase array antenna beam control code, especially Beam steering errors to correct
Method.
Background technique
Phased array antenna is arranged according to certain rules the array antenna constituted by many identical radiating elements.Phased array day
Line intelligently controls and adjusts the amplitude and phase of each unit of array by specific feeding classification, make wave beam forming and
Flexibly scan to noninertia.
One important application of phased array antenna is communicated between star, and communication distance is long between star, and link load is big, with communication
The continuous growth of rate requirement, developing large size Ka frequency range phased array is inevitable trend.Beam controlling system is mainly at embedded place
Under the control for managing chip, the beam point steering code of needs is generated, and send the orientation control that wave beam is completed to each unit block
System.In certain application scenarios, for example, Ka frequency range delivery relaying observing and controlling, antenna array scale is big, and wave beam is narrow, angular scanning speed compared with
Greatly, to the pointing accuracy of wave beam and calculating speed, more stringent requirements are proposed.
Usual situation is influenced by bay arrangement, front installation error and single antenna directional diagram, and antenna beam is practical
There are certain deviations for direction and theoretical direction, and especially in off-axis angular direction, off-axis angle is bigger, and error is bigger, azimuthal error
It is relatively small.When wave beam is relatively narrow, it is necessary to carry out error correction, according to the difference of error requirements, be divided into one-line interpolation and
Two methods of two-dimensional linear interpolation.Have division in the formula of linear interpolation method, according to traditional quantization method, i.e., angle value with
Actual value is consistent or integral multiple, and two o'clock can be brought inconvenient.First, when dividing fitted area, segmentation judgement is carried out to off-axis angle,
It needs to be accurate to specific numerical value, and high-order judgement cannot be taken；Second, division arithmetic is not avoided that, more add operations twice,
Computation complexity and resource consumption can not be effectively reduced.
Summary of the invention
Technology of the invention solves the problems, such as: overcoming the deficiencies of the prior art and provide a kind of finger for being suitble to be realized with FPGA
To error correction calculation method, realizes the error correction function that antenna beam is directed toward, combine accuracy, calculating speed and money
Source consumption.
The technical solution adopted by the invention is as follows:
Error correction module completes the amendment of phase array antenna beam error in pointing, inputs as off-axis angle θ and rotation anglePosition
Wide is 16, is exported as the off-axis angle θ and rotation angle after amendmentBit wide is 16.Angular quantification method is as follows:
Wherein mod (X, 216) indicate X to 216Complementation, round () indicate to be rounded nearby.
Due to respectively being influenced to inconsistent by antenna array installation error and single antenna gain, theoretical beam position and reality
There are certain errors for border beam position, and the deviation is off-axis angle θ and rotation angleFunction.Error is generally directed to by off-axis angle
Be affected, influenced by rotation angle it is smaller, therefore off-axis angle use compared with small step diameter and rotation angle using larger step diameter carry out error
The extraction of data.
Off-axis angular direction is compensated using one-dimensional linear Fitting Interpolation Method, and error information sampling interval is 1.40625 °.
Assuming that off-axis angle θ is between error amount sampling angle θ1And θ2Between, wherein θ1And θ2Corresponding error is respectively Δ θ1With Δ θ2, it is
Actual direction figure test data is obtained by processing, quantization method and θ,It is identical.Linear fit calculation formula are as follows:
Angular direction is rotated without fitting, and 0 °~360 ° ranges of rotation angle are divided into 8 regions, each region span
It is 45 °, the error information being all made of on the middle line of region in region is modified.
Realization process is divided to two big steps to carry out:
Firstly, calculating Δ θ1With Δ θ2.It includes 8 sections, the number of each section 47 that error in pointing, which corrects table data store,
According to each data account for 2 bytes, totally 752 bytes.
Due to being divided into 360 °/2 between the sampled point in the direction error correction data θ8,The sampling interval in direction is 360 °/23,
And θ andThe integral number power etc. for being all made of 2 divides quantification method, regards the most-significant byte for indicating 16 fixed-point numbers of θ as ' integer ' position, and low 8
Position regards ' decimal ' position as, then θ1' integer ' part of as θ, θ2Add ' 1 ' for ' integer ' part of θ, thus θ1Relative address is used
The most-significant byte of θ indicates.Similarly, availableIt is high 4 calculatingRelative address will indicateHigh 3 of 16 fixed-point numbers see
' integer ' is done, region middle line is asked to be equivalent to pairIt ' is rounded ' and (rounds up) nearby, it willHigh 3 place value add high 4 place value i.e.
It can.Downward rounding processing in address calculation is become cut position by this method, and nearest rounding processing becomes ' integer ' position and adds first
' decimal ' position, is very suitable for the fixed-point computation of FPGA.
By θ relative address andRelative address is added, and along with the flash of error correction data stores first address, is obtained
Δθ1Storage address in flash, Δ θ2Storage address be Δ θ1Storage address add 1, according to the address read flash
Obtain error correction data Δ θ1With Δ θ2。
Then, revised θ value is sought using formula.Because input angle θ presses 2 integral number power aliquot using 360 °
Change, θ1It is equivalent to ' integer ' part of θ, then (θ-θ1) it is equivalent to ' decimal ' part of θ, and because (θ2-θ1)=360 °/28Phase
When in ' integer ' 1, therefore (θ-θ1)/(θ2-θ1) can be indicated with the least-significant byte of θ.By Δ θ1With Δ θ2It makes the difference and is multiplied again with the least-significant byte of θ,
The error information in the direction θ is obtained, to complete error in pointing amendment.
Compared with the prior art, the invention has the advantages that:
When the modified linear interpolation of error in pointing calculates, input angle, error angle and sampled point are all made of 2 integer
Power etc. divides quantization method, will bring simplification to the calculating of system:
Firstly, high-order automatic overflow is equivalent to complementation operation during the sum operation of angle value, do not influence finally to tie
Fruit, and no longer need to carry out complementation, reduce computing redundancy.
Secondly, take high several of the input off-axis angle and rotation angle address calculations for carrying out errors in pointing amendment data, with cutting
Position replaces division and rounding operation, effectively reduces computation complexity.
Again, when carrying out the calculating of off-axis angular direction one-line interpolation, (θ-θ is indicated using the least-significant byte of θ1)/(θ2-θ1),
This method subtraction and a division arithmetic will become only once simple cut position operation twice, be especially advantageous for FPGA realization,
Computational complexity substantially reduces.
Detailed description of the invention
Fig. 1 is wave beam control code computing module composition block diagram of the present invention；
Fig. 2 is that present invention is generally directed to error correction test datas to extract sectional drawing；
Fig. 3 is that present invention is generally directed to error correction reading data computing block diagrams；
Fig. 4 is that present invention is generally directed to error correction linear interpolation computing block diagrams；
Specific embodiment
A specific embodiment of the invention is further described in detail with reference to the accompanying drawing.
Fig. 1 is wave beam control code computing module composition block diagram of the present invention, and wherein the calculating of wave beam control code includes and is directed toward to miss
Poor correction module, trigonometric function computing module, address calculation module and table look-up module, wherein function computation module calculates off axis
The sine value and cosine value at angle and rotation angle, address calculation module calculate corresponding wave beam control code in storage table using assembly line
In address, table look-up module read flash in appropriate address control code data.
Error in pointing correction module of the present invention completes the amendment of phase array antenna beam error in pointing, inputs as off-axis angle
θ and rotation angleBit wide is 16, is exported as the off-axis angle θ and rotation angle after amendmentBit wide is 16.Angular amount
Change method is as follows:
Wherein mod (X, 216) indicate X to 216Complementation, round () indicate to be rounded nearby.
Due to respectively being influenced to inconsistent by antenna array installation error and single antenna gain, theoretical beam position and reality
There are certain errors for border beam position, and the deviation is off-axis angle θ and rotation angleFunction.Error is generally directed to by off-axis angle
Be affected, influenced by rotation angle it is smaller, therefore off-axis angle use compared with small step diameter and rotation angle using larger step diameter carry out error
The extraction of data.
Off-axis angular direction is compensated using one-dimensional linear Fitting Interpolation Method, and error information sampling interval is 1.40625 °.
Assuming that off-axis angle θ is between error amount sampling angle θ1And θ2Between, wherein θ1And θ2Corresponding error is respectively Δ θ1With Δ θ2, it is
Actual direction figure test data is obtained by processing, quantization method and θ,It is identical.Linear fit calculation formula are as follows:
Angular direction is rotated without fitting, and 0 °~360 ° ranges of rotation angle are divided into 8 regions, each region span
Be 45 °, the error information being all made of on the middle line of region in region is modified, region middle line be respectively 0 ° of rotation angle, 45 °,
90 °, 135 °, 180 °, 225 °, 270 °, 315 °, as shown in Figure 2.
Realization process is divided to two big steps to carry out:
Firstly, calculating Δ θ1With Δ θ2.It includes 8 sections, the number of each section 47 that error in pointing, which corrects table data store,
According to each data account for 2 bytes, totally 752 bytes, and error in pointing amendment data memory format is as follows:
Due to being divided into 360 °/2 between the sampled point in the direction error correction data θ8,The sampling interval in direction is 360 °/23,
And θ andThe integral number power etc. for being all made of 2 divides quantification method, regards the most-significant byte for indicating 16 fixed-point numbers of θ as ' integer ' position, and low 8
Position regards ' decimal ' position as, then θ1' integer ' part of as θ, θ2Add ' 1 ' for ' integer ' part of θ, thus θ1Relative address is used
The most-significant byte of θ indicates.Similarly, availableIt is high 4 calculatingRelative address will indicateHigh 3 of 16 fixed-point numbers see
' integer ' is done, region middle line is asked to be equivalent to pairIt ' is rounded ' and (rounds up) nearby, it willHigh 3 place value add high 4 place value i.e.
Can, withRelative address corresponding relationship is as shown in the table.Downward rounding processing in address calculation is become cut position by this method, just
Nearly rounding processing becomes ' integer ' position and adds first ' decimal ' position, is very suitable for the fixed-point computation of FPGA.
By θ relative address andRelative address is added, and along with the flash of error correction data stores first address, is obtained
Δθ1Storage address in flash, Δ θ2Storage address be Δ θ1Storage address add 1, according to the address read flash
Obtain error correction data Δ θ1With Δ θ2, computing block diagram is as shown in Figure 3.Steps are as follows for calculating:
Step 1, willHigh 3 place value add high 4 place value, obtain the nearest section of region, input bit wide is respectively 3
With 1, input bit wide is 3, high-order automatic to overflow.
Step 2 takes the most-significant byte of θ as θ1Relative address, while the value being calculated with step 1, by looking intoRelatively
Location mapping table obtainsRelative address.
Step 3, by θ1Relative address relative address andRelative address is added, and is obtainedDeflection error value it is opposite
Storage address.
The value that step 3 obtains is added with error in pointing amendment data flash storage first address, obtains by step 4
The absolute memory address of deflection error value.
Step 5, the address being calculated using step 4 are read flash and obtain error in pointing data Δ θ1；
Step 6 adds 1 reading flash to obtain error in pointing data Δ θ using the address that step 4 is calculated2；
Then, revised θ value is sought using formula.Because input angle θ presses 2 integral number power aliquot using 360 °
Change, θ1It is equivalent to ' integer ' part of θ, then (θ-θ1) it is equivalent to ' decimal ' part of θ, and because (θ2-θ1)=360 °/2 °
It is equivalent to ' integer ' 1, therefore (θ-θ1)/(θ2-θ1) can be indicated with the least-significant byte of θ.This method will subtraction and a division twice
Operation becomes only once simple cut position operation, is especially advantageous for FPGA realization, and computational complexity substantially reduces.In addition each angle value
Being added rear high-lying and overflowing automatically does not influence calculated result, and does not need to carry out complementation operation again, reduces computing redundancy, realized
Journey is simplified.
Computing block diagram carries out as shown in figure 4, being divided into 4 steps.
Step 1, by Δ θ1With Δ θ2It is added, inputs 16, export 16, high-order to overflow automatically, obtained value is Δ θ2-
Δθ1；
Step 2, by Δ θ2-Δθ1It is multiplied with the least-significant byte of θ, least-significant byte is clipped in output, retains 16, and high-order automatic spilling obtains
To value be
Step 3, by 16With 16 Δ θ1It is added, exports 16, high-order automatic spilling obtains
Value beThat is Δ θ；
16 Δ θ are added by step 4 with 16 θ, export the revised θ value of 16 errors in pointing, high-order automatic spilling.
It should be noted that only the present invention is schematically illustrated and illustrated above, those skilled in the art is answered
When understanding, protection scope of the present invention is belonged to any modification of the invention and replacement.
Claims (6)
1. a kind of phase array antenna beam error in pointing modification method, which is characterized in that error correction module completes phased array day
The amendment of line Beam steering error, inputs as off-axis angle θ and rotation angleBit wide is 16, export for by amendment after from
Shaft angle θ and rotation angleBit wide is 16, and angular quantification method is as follows:
Wherein mod (X, 216) indicate X to 216Complementation, round () indicate to be rounded nearby；
Off-axis angular direction is compensated using one-dimensional linear Fitting Interpolation Method, and error information sampling interval is 1.40625 °, it is assumed that
Off-axis angle θ is between error amount sampling angle θ1And θ2Between, wherein θ1And θ2Corresponding error is respectively Δ θ1With Δ θ2, it is practical
Pattern measurement data are obtained by processing, linear fit calculation formula are as follows:
Angular direction is rotated without fitting, 0 °~360 ° ranges of rotation angle is divided into 8 regions, each region span is
45 °, error information on the middle line of region is all made of in region and carries out θ adjustment in direction, region middle line be respectively 0 ° of rotation angle,
45°、90°、135°、180°、225°、270°、315°。
2. a kind of phase array antenna beam error in pointing modification method as described in claim 1, which is characterized in that the direction θ
360 °/2 are divided between sampled point8,The sampling interval in direction is 360 °/23, and θ andIt is all made of 2 integral number power etc. point quantization
Method regards the most-significant byte for indicating 16 fixed-point numbers of θ as ' integer ' position, and least-significant byte regards ' decimal ' position as, then θ1As θ's is ' whole
Number ' part, θ2Add ' 1 ' for ' integer ' part of θ, thus θ1Relative address is indicated with the most-significant byte of θ；
Similarly, it utilizesIt is high 4 calculatingRelative address will indicateHigh 3 of 16 fixed-point numbers regard ' integer ' as, ask
Region middle line is equivalent to pairIt ' is rounded ' nearby, it willHigh 3 place value add from the 4th place value of seniority top digit；
By θ relative address andRelative address is added, and along with the flash of error correction data stores first address, obtains Δ θ1?
Storage address in flash, Δ θ2Storage address be Δ θ1Storage address add 1, according to the address read flash missed
Difference amendment data Δ θ1With Δ θ2。
3. a kind of phase array antenna beam error in pointing modification method as claimed in claim 2, which is characterized in that error correction
Data Δ θ1With Δ θ2Calculate specifically includes the following steps:
Step S11, willHigh 3 place value add high 4 place value, obtain the nearest section of region, input bit wide is respectively 3 Hes
1, input bit wide is 3, high-order automatic spilling；
Step S12 takes the most-significant byte of θ as θ1Relative address, while the value being calculated with step S11, by looking intoRelatively
Location mapping table obtainsRelative address；
Step S13, by θ1Relative address relative address andRelative address is added, and is obtainedThe opposite of deflection error value is deposited
Store up address；
The value that step S13 is obtained is added with error in pointing amendment data flash storage first address, obtains by step S14
The absolute memory address of deflection error value；
Step S15, the address being calculated using step S14 are read flash and obtain error in pointing data Δ θ1；
Step S16 adds 1 reading flash to obtain error in pointing data Δ θ using the address that step S14 is calculated2。
4. a kind of phase array antenna beam error in pointing modification method as claimed in claim 3, which is characterized in that input angle
θ divides quantization, θ by 2 integral number power etc. using 360 °1It is equivalent to ' integer ' part of θ, (θ-θ1) it is equivalent to ' decimal ' portion of θ
Point, and because (θ2-θ1)=360 °/28It is equivalent to ' integer ' 1, therefore (θ-θ1)/(θ2-θ1) can be indicated with the least-significant byte of θ；By Δ θ1
With Δ θ2It makes the difference and is multiplied again with the least-significant byte of θ, obtain the error information in the direction θ, to complete error in pointing amendment.
5. a kind of phase array antenna beam error in pointing modification method as claimed in claim 4, which is characterized in that after asking amendment
θ value, specifically includes the following steps:
Step S21, by Δ θ1With Δ θ2It is added, inputs 16, export 16, high-order to overflow automatically, obtained value is Δ θ2-Δ
θ1；
Step S22, by Δ θ2-Δθ1It is multiplied with the least-significant byte of θ, least-significant byte is clipped in output, retains 16, and high-order automatic spilling obtains
Value be
Step S23, by 16With 16 Δ θ1It is added, exports 16, high-order automatic spilling obtains
Value isThat is Δ θ；
16 Δ θ are added by step S24 with 16 θ, export the revised θ value of 16 errors in pointing, high-order automatic spilling.
6. a kind of phase array antenna beam error in pointing update the system, which is characterized in that including error in pointing correction module, triangle
Function computation module, address calculation module and table look-up module:
Error in pointing correction module completes the amendment of phase array antenna beam error in pointing, inputs as off-axis angle θ and rotationangleφ, defeated
It is out the off-axis angle θ and rotationangleφ after amendment；
Trigonometric function computing module calculates the sine value and cosine value of off-axis angle and rotation angle；
Address calculation module calculates address of the corresponding wave beam control code in storage table using assembly line；
Table look-up module reads the control code data of appropriate address in flash.
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Cited By (4)
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| CN110687531A (en) * | 2019-09-28 | 2020-01-14 | 西南电子技术研究所（中国电子科技集团公司第十研究所） | Method for improving self-tracking dynamic target real-time performance of digital multi-beam phased array antenna |
| CN111273239A (en) * | 2020-02-21 | 2020-06-12 | 中国西安卫星测控中心 | External field calibration compensation method for pointing accuracy of inter-satellite link phased array antenna |
| CN112104431A (en) * | 2020-11-23 | 2020-12-18 | 成都天锐星通科技有限公司 | Phased array antenna measurement error correction method, device and measurement system |
| CN112399554A (en) * | 2019-08-15 | 2021-02-23 | 华为技术有限公司 | Positioning method and device thereof |
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| CN109239736B (en) | 2023-04-07 |
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