CN102810742A - Method for improving phased array beam-pointing accuracy - Google Patents
Method for improving phased array beam-pointing accuracy Download PDFInfo
- Publication number
- CN102810742A CN102810742A CN2012102713038A CN201210271303A CN102810742A CN 102810742 A CN102810742 A CN 102810742A CN 2012102713038 A CN2012102713038 A CN 2012102713038A CN 201210271303 A CN201210271303 A CN 201210271303A CN 102810742 A CN102810742 A CN 102810742A
- Authority
- CN
- China
- Prior art keywords
- phase
- value
- feeding
- array element
- array
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000000034 method Methods 0.000 title claims abstract description 31
- 238000013213 extrapolation Methods 0.000 claims abstract description 41
- 238000013139 quantization Methods 0.000 claims abstract description 39
- 238000003491 array Methods 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 4
- 230000005284 excitation Effects 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000006978 adaptation Effects 0.000 description 1
- 230000001186 cumulative effect Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
Images
Landscapes
- Variable-Direction Aerials And Aerial Arrays (AREA)
Abstract
The invention relates to the technical field of phase arrays and discloses a method for improving phased array beam-pointing accuracy. The method specifically comprises the following steps: calculating a phase shifter phase feeding quantization step value according to the number of array elements; initializing the quantization step value and an ideal phase feeding value; determining a central array element position; calculating the times of the total recursion of a whole extrapolation process; finding a phase shifter phase feeding quantization step value which has a smaller different absolute value with the ideal phase feeding value of the central array element and using the phase shifter phase feeding quantization step value as an actual phase feeding value of a central array element phase shifter, and calculating an initial phase error; entering the extrapolation array element phase feeding; keeping a smallest accumulated phase error of an affirmed phase feeding array element in an extrapolation result; and circulating the extrapolation array element phase feeding till the times of the extrapolation being equal to the times of the total recursion so as to accomplish the phase feeding of all array elements. At the moment, all array elements have the smallest accumulated phase error; and a beam pointing error achieves a smallest value according to a linear relationship between the phase quantization error and the beam pointing error, and then the beam pointing accuracy of the phased array is improved.
Description
Technical Field
The invention relates to a phased array system, in particular to a method for improving the pointing accuracy of phased array beams.
Background
In existing phased array systems, beam steering of the antenna is performed by a beam steering system, which mainly passes throughThe phase and gain of each array element are controlled to realize the change of beam space direction. When the linear array wave beam formed by N array elements with the distance of d points to the angle theta, the ideal directional diagram isWherein IkExciting gain, phi, for each array element amplitudekThe phase feeding value of each array element is obtained, so that the phase feeding accuracy of each array element directly influences the beam pointing precision. The phase shifter is a key device of the phased array antenna, the phase feeding value of each array element is controlled by digital control and limited by the number of bits of the phase shifter, the phase feeding value can only be integral multiple of a quantization step, the deviation of the theoretical phase feeding and the actual phase feeding generated by the phase shifter is called as the phase quantization error of the phase shifter, and the error enables the beam pointing to deviate from the theoretical value. The beam pointing error caused by the phase quantization error is inevitable, and the error is corrected by a phase feeding method such as a rounding method, a binary method, a pre-phase method and the like in engineering application, but the extreme value and mean square error of the beam pointing error are not well reduced.
Disclosure of Invention
The invention aims to disclose a method for improving the pointing accuracy of phased array beams, aiming at the problem that no method for effectively improving the pointing accuracy of the phased array beams exists in the prior art.
The purpose of the invention is realized by the following technical scheme:
a method for improving the pointing accuracy of phased array beams specifically comprises the following steps:
step 1, calculating a phase-fed quantization step value of a phase shifter according to the number of array elements, initializing the quantization step value and an ideal phase-fed value, determining the position of a central array element according to the number of the array elements, and calculating the total recursion times of the whole extrapolation process;
step 2, finding out a phase-shifting device phase-feeding quantization step value with a smaller absolute value of the difference between the phase-shifting device phase-feeding quantization step value and the ideal phase-feeding value of the central array element, taking the phase-shifting quantization step value as an actual phase-feeding value of the central array element phase-shifting device, and calculating an initial phase error;
step 3, extrapolation array element phase feeding is carried out, and the extrapolation result keeps the minimum accumulated phase error of the confirmed phase feeding array element;
and 4, circularly extrapolating the phase feeding of the array elements until the extrapolation times are equal to the total recursion times, and finishing the phase feeding of all the array elements.
More specifically, the step 2 includes: when the number N of the array elements is odd, the central array element is
Number of extrapolations
The actual phase-fed value of the central array element is as follows: and the phase shifter feed quantization step value with smaller absolute value difference with the ideal feed value of the central array element is used as the actual feed value of the central array element phase shifter.
More specifically, the step 2 includes: when the number N of the array elements is even, two central array elements are provided, respectively
Number of extrapolations
The actual phase-fed value of the central array element is as follows: and the phase shifter feed quantization step value with smaller absolute value difference with the ideal feed value of the central array element is used as the actual feed value of the central array element phase shifter.
More specifically, step 3 is as follows: and determining 2 array elements of the phase-fed value which are symmetrical about the center as an extrapolated left base point and an extrapolated right base point, determining the phase-fed values of the left adjacent array element of the left base point and the right adjacent array element of the right base point, and keeping the sum of the phase error values of the determined phase-fed array elements after the extrapolation to be the minimum.
Further, the step of keeping the minimum sum of the phase error values of the determined fed phase array elements after the extrapolation is specifically as follows: and comparing the accumulated phase feeding errors under the 4 conditions in two groups, comparing the comparison results of each group again between the groups, and selecting the phase feeding value with the minimum sum of the phase errors of the array elements after extrapolation.
Furthermore, in the comparison, if the feeding conditions of different combinations are equal, the combination with the minimum deviation from the ideal feeding values of the two side array elements is selected for feeding.
The invention has the beneficial effects that: by the method, firstly, a quantization step value and an ideal phase feed value are initialized, a central array element is found out, the phase feed value of a central array element phase shifter is determined, then the phase feed values of the left end array element and the right end array element are extrapolated in sequence, at the moment, the accumulated phase error value of all the array elements is the minimum, the beam pointing error reaches the minimum value at the moment according to the linear relation between the phase quantization error and the beam pointing error, and the beam pointing accuracy of the phased array is improved.
Drawings
FIG. 1 is a flow chart of the implementation of the method for improving the pointing accuracy of phased array beams according to the present invention.
FIG. 2 is a schematic diagram of the external phase feed parameters.
Fig. 3 is a block diagram of a typical phased array antenna system.
Detailed Description
The following detailed description of the embodiments of the present invention is provided in conjunction with the accompanying drawings.
For ease of reading, the following formula is first defined as follows:
the number of array elements: n; wavelength: lambda; ideal wave beamPointing angle: theta; number of phase shifter bits: p; phase-shifter feed quantization step difference:
the ideal feed difference value of adjacent array elements: delta phiI(ii) a Array element i ideal phase-fed value: phi is aIi(ii) a Actual phase-fed value of array element i: phi is aRi(ii) a Array element i phase feed error: delta phii(ii) a Array element i pointing error: delta thetai(ii) a Amplitude excitation gain of array element i: i isi(ii) a Beam total pointing error: xiθ。
Fig. 1 is a flowchart illustrating an implementation of the method for improving the pointing accuracy of the phased array beam according to the present invention, and as shown in fig. 1, the present invention discloses a method for improving the pointing accuracy of the phased array beam, which specifically includes the following steps:
step 1, calculating a phase-fed quantization step value of a phase shifter according to the number of array elements, initializing the quantization step value and an ideal phase-fed value, determining the position of a central array element according to the number of the array elements, and calculating the total recursion times of the whole extrapolation process;
step 2, finding out a phase-shifting device phase-feeding quantization step value with a smaller absolute value of the difference between the phase-shifting device phase-feeding quantization step value and the ideal phase-feeding value of the central array element, taking the phase-shifting quantization step value as an actual phase-feeding value of the central array element phase-shifting device, and calculating an initial phase error;
step 3, extrapolation array element phase feeding is carried out, and the extrapolation result keeps the minimum accumulated phase error of the confirmed phase feeding array element;
and 4, circularly extrapolating the phase feeding of the array elements until the extrapolation times are equal to the total recursion times, and finishing the phase feeding of all the array elements.
By the method, firstly, a quantization step value and an ideal phase feed value are initialized, a central array element is found out, the phase feed value of a central array element phase shifter is determined, then the phase feed values of the left end array element and the right end array element are extrapolated in sequence, at the moment, the accumulated phase error value of all the array elements is the minimum, the beam pointing error reaches the minimum value at the moment according to the linear relation between the phase quantization error and the beam pointing error, and the beam pointing accuracy of the phased array is improved.
Further, the step 2 is specifically: when the number N of the array elements is odd, the central array element isNumber of extrapolations
The actual phase-fed value of the central array element is as follows: and the phase shifter feed quantization step value with smaller difference value with the ideal feed phase value of the central array element is used as the actual feed phase value of the phase shifter of the central array element.
As expressed by the following equation: if the following conditions are satisfied, the actual phase feed value is obtainedOtherwise is
The subscript of the central array element is
Then its ideal phase-feed value
Respectively setting the feed quantization step values of front and back phase shifters
Satisfies the following conditions:
wherein: delta phiIThe ideal phase feed difference value of adjacent array elements,and feeding the phase of the phase shifter to quantize the step difference value.
Further, the step 2 is specifically: when the number N of the array elements is even, two central array elements are provided, respectively
Number of extrapolations
The actual phase-fed value of the central array element is as follows: and the phase shifter feed quantization step value with smaller difference value with the ideal feed phase value of the central array element is used as the actual feed phase value of the phase shifter of the central array element.
Then, the actual phase-fed values of the 2 central array elements are respectively:
two central array elements are provided, and subscripts thereof are respectively
Corresponding to ideal phase-fed values are respectively
Then there are:
are respectively array elements
Quantization step values before and after setting
Which satisfies the following conditions:
wherein: delta phiIThe ideal phase feed difference value of adjacent array elements,
and feeding the phase of the phase shifter to quantize the step difference value.
Further, the step 3 is specifically: and determining 2 array elements of the phase-fed value which are symmetrical about the center as an extrapolated left base point and an extrapolated right base point, determining the phase-fed values of the left adjacent array element of the left base point and the right adjacent array element of the right base point, and keeping the sum of the phase error values of the determined phase-fed array elements after the extrapolation to be the minimum.
Respectively determining the phase-fed values phi of the left and right two-side array elements by the ith extrapolationR_Li、φR_RiFor example, the following steps are carried out:
let the total extrapolation times be: m;
the accumulated phase error after the first i-1 extrapolations is: sig phii-1；
Then, the extrapolation is performed to determine the ideal phase-feed values phi of the left and right array elementsI_Li、φI_RiRespectively as follows:
calculating to obtain the possible actual phase feeding step of the left array element
Actual phase feed step possible with right array element
The requirements are satisfied:
is provided with
The ideal phase-feeding error value of the corresponding array element is respectively epsilonl、εl+1、εm、εm+1The relationship is shown in the schematic diagram of the extrapolation phase parameter shown in FIG. 2, which satisfies the following conditions:
to achieve the sum Sigphi of the phase errors of the extrapolated array elementsiAt a minimum, i.e.
Sigφi＝|Sigφi-1+φR_Li+φR_RiThe value of | is minimal.
Further, the step of keeping the minimum sum of the phase error values of the determined fed phase array elements after the extrapolation is specifically as follows: and comparing the accumulated phase feeding errors under the 4 conditions in two groups, comparing the comparison results of each group again between the groups, and selecting the phase feeding value with the minimum sum of the phase errors of the array elements after extrapolation.
To achieve the sum Sigphi of the phase errors of the extrapolated array elementsiAt a minimum, i.e.
Sigφi＝|Sigφi-1+φR_Li+φR_RiThe value of | is minimal. Due to phiR_LiCan be
Or
φR_RiCan be
Or
Then, the possible situation of 4 combined feed phases is extrapolated, and the cumulative feed phase error in 4 cases is A, B, C, D respectively, that is:
from the above equation, except for a and D, B and C, there is a same feed phase value between each two of the other feed phase cases, so the 2-level comparison strategy is chosen to obtain the minimum value of A, B, C, D:
stage 1: dividing the 4 cases into two groups according to A and B, C and D, and comparing the sizes in the groups to obtain comparison results of A, B, C and D respectively;
stage 2: and then comparing the sizes of the groups of the comparison results in the groups to obtain the final result.
Furthermore, in the comparison of the feeding phases, if the feeding phases of different combinations have the same result, the combination with the minimum deviation from the ideal feeding phase values of the array elements on the two sides is selected for feeding.
For example, in level 1 comparison A = B, i.e. | Sig φi-1+εl+εm|＝|Sigφi-1+εl+εm+1I, then em=εm+1Or epsilonm＝-2Sigφi-1-εm+1；
When epsilonm＝εm+1Due to
Namely, it is
And
contradiction, this situation does not hold;
when epsilonm＝-2Sigφi-1-εm+1Due to
Thus, it is possible to provide
εm、εm+1So that it satisfies the condition epsilonm=-2Sigφi-1-εm+1。
Due to the same phase feed error epsilon in A, BlThe deviation degree from the ideal feed phase of the array element is equivalent to the feed phase error epsilonm、εm+1Absolute value of (d); when | ∈ |)m|≤|εm+1If yes, comparing the result of A with B to select A; otherwise, selecting B.
Similarly, if A = D in the 2 nd stage comparison, i.e. | Sig φi-1+εl+εm|＝|Sigφi-1+εl+1+εm+1If so, the total deviation degree from the ideal phase-feed values of the left and right array elements is compared, which is equivalent to the comparison of the phase-feed error epsilonl、εmSum of absolute values and phase feed error epsilonl+1、εl+1The magnitude of the sum of absolute values; when | ∈ |)m|+|εl|≤|εm+1|+εl+1If not, selecting D.
If the final combined phase is A, the extrapolation process is finished, so that the actual phase feeding values of the two end array elements and the current accumulated phase error are obtained:
as can be seen from the aforementioned extrapolation criterion of the central array element phase feed, the basic elements of the extrapolation process include the left and right base points, the extrapolation number, and the accumulated phase error, so the initial base point, the initial phase difference, and the recursion number parameters are first set. Let the initial left base point phase-feed value be phiR_L0The phase-feed value of the right base point is phiR_L0The accumulated phase error value is SigphiOThe number of recursions is M.
If the number of the array elements is N-odd, the phase feed value of the central array element is set
Has a phase error of epsilonmid，
Then:
wherein,
if the number of array elements is N even number, the number of central array elements is 2, and its phase-fed value is set
Respectively has a phase error of epsilonmid1、
εmid2And then: <math>
<mfenced open='{' close=''>
<mtable>
<mtr>
<mtd>
<msub>
<mi>φ</mi>
<mrow>
<mi>R</mi>
<mo>_</mo>
<mi>L</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>φ</mi>
<mrow>
<mi>R</mi>
<mfrac>
<mi>N</mi>
<mn>2</mn>
</mfrac>
</mrow>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>φ</mi>
<mrow>
<mi>R</mi>
<mo>_</mo>
<mi>R</mi>
<mn>0</mn>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>φ</mi>
<mrow>
<mi>R</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mi>N</mi>
<mn>2</mn>
</mfrac>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
</msub>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>M</mi>
<mo>=</mo>
<mfrac>
<mi>N</mi>
<mn>2</mn>
</mfrac>
<mo>-</mo>
<mn>1</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>Sigφ</mi>
<mn>0</mn>
</msub>
<mo>=</mo>
<msub>
<mi>ϵ</mi>
<mrow>
<mi>mid</mi>
<mn>1</mn>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>ϵ</mi>
<mrow>
<mi>mid</mi>
<mn>2</mn>
</mrow>
</msub>
</mtd>
</mtr>
</mtable>
</mfenced>
</math>
wherein,
the beneficial effects of the present invention are analyzed in detail as follows:
in the phased array theory, the ideal phase-feed value of an array element i is as follows:
The ideal feed phase difference value of adjacent array elements is as follows:
the phase feeding precision is obtained by the number of the phase shifter bits:
therefore, the actual phase feed value of the array element i can only take:
It can be known that the phase feeding quantization error of the array element i caused by the phase feeding precision of the phase shifter is:
Δφi=|φRi-φIii, andwherein i =1,2,3
And the beam pointing error caused by the phase quantization error of the array element i is known as follows:
The beam pointing error of the entire antenna array is then:
that is to say as long as xi is foundθminThat is to achieve
The value is minimum, because the amplitude excitation gain of each array element is generally designed to be equal-amplitude excitation or gradually reduced from the center to two ends, the invention determines the phase feed value by the strategy of array elements from the center to two ends, and reduces the extreme value and mean square error of the beam pointing error.
The present invention can be implemented using a typical phased array antenna system as shown in fig. 3, which is composed of basic components such as digital signal processing, receive/transmit channels, a beam control unit, a beam forming network, and a phased array antenna, and forms a complete closed loop for processing, transmitting, receiving, and processing. The method of the invention resides in the beam control unit, under the working state, according to the target information sent by signal processing and the inherent parameters of the antenna and the phase shifter, the method calculates the phase-feed control code needed by each array element and sends the phase-feed control code to the beam forming network, and the beam pointing scheduling is completed together by matching with other switches. The above-mentioned devices and their accessories are commonly used by those skilled in the art and will not be described herein.
The coefficients and parameters given in the above-described embodiments are provided to enable a person skilled in the art to make or use the invention, and the invention is not limited to the values given in the foregoing disclosure, but various modifications and adaptations can be made by a person skilled in the art without departing from the inventive concept of the present invention, and therefore the scope of protection of the invention is not limited by the above-described embodiments but should be accorded the widest scope of the inventive features set forth in the appended claims.
Claims (6)
1. A method for improving the pointing accuracy of phased array beams specifically comprises the following steps:
step 1, calculating a phase-fed quantization step value of a phase shifter according to the number of array elements, initializing the quantization step value and an ideal phase-fed value, determining the position of a central array element according to the number of the array elements, and calculating the total recursion times of the whole extrapolation process;
step 2, finding out a phase-shifting device phase-feeding quantization step value with a smaller absolute value of the difference between the phase-shifting device phase-feeding quantization step value and the ideal phase-feeding value of the central array element, taking the phase-shifting quantization step value as an actual phase-feeding value of the central array element phase-shifting device, and calculating an initial phase error;
step 3, extrapolation array element phase feeding is carried out, and the extrapolation result keeps the minimum accumulated phase error of the confirmed phase feeding array element;
and 4, circularly extrapolating the phase feeding of the array elements until the extrapolation times are equal to the total recursion times, and finishing the phase feeding of all the array elements.
2. The method for improving the pointing accuracy of phased array beams according to claim 1, wherein the step 2 is specifically: when the number N of the array elements is odd, the central array element is
Number of extrapolations
The actual phase-feed value of the central array element is as follows: and the phase shifter feed quantization step value with smaller absolute value difference with the ideal feed value of the central array element is used as the actual feed value of the central array element phase shifter.
3. The method for improving the pointing accuracy of phased array beams according to claim 1, wherein the step 2 is specifically: when the number N of the array elements is even, two central array elements are provided, respectively
、
Number of extrapolations
The actual phase-feed value of the central array element is as follows: the phase shifter with smaller absolute value of difference with the ideal phase feeding value of the central array element feeds the quantization step value of the phase, and the phase shifter feeds the quantization step value of the phase with smaller absolute value of difference with the ideal phase feeding value of the central array elementWhich is used as the actual phase-feeding value of the central array element phase shifter.
4. The method according to claim 2 or 3, wherein the step 3 is specifically: and determining 2 array elements of the phase-fed value which are symmetrical about the center as an extrapolated left base point and an extrapolated right base point, determining the phase-fed values of the left adjacent array element of the left base point and the right adjacent array element of the right base point, and keeping the sum of the phase error values of the determined phase-fed array elements after the extrapolation to be the minimum.
5. The method according to claim 4, wherein the step of keeping the sum of the phase error values of the determined fed-phase array elements after the extrapolation to be the minimum is specifically as follows: and comparing the accumulated phase feeding errors under the 4 conditions in two groups, comparing the comparison results of each group again between the groups, and selecting the phase feeding value with the minimum sum of the phase errors of the array elements after extrapolation.
6. The method according to claim 5, wherein in the comparison, if the results of different combined phase feeding conditions are equal, the combination with the minimum deviation from the sum of the ideal phase feeding values of the two side array elements is selected for phase feeding.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210271303.8A CN102810742B (en) | 2012-08-01 | 2012-08-01 | Method for improving phased array beam-pointing accuracy |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210271303.8A CN102810742B (en) | 2012-08-01 | 2012-08-01 | Method for improving phased array beam-pointing accuracy |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN102810742A true CN102810742A (en) | 2012-12-05 |
| CN102810742B CN102810742B (en) | 2015-03-04 |
Family
ID=47234380
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201210271303.8A Expired - Fee Related CN102810742B (en) | 2012-08-01 | 2012-08-01 | Method for improving phased array beam-pointing accuracy |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN102810742B (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109343004A (en) * | 2018-09-18 | 2019-02-15 | 南京理工大学 | An Iterative Feed-Phase Calculation Method for Improving the Beam Pointing Accuracy of Planar Phased Array Antennas |
| CN114553334A (en) * | 2022-04-28 | 2022-05-27 | 浩泰智能(成都)科技有限公司 | Phased array antenna pointing error measurement method, system, terminal and device |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4188633A (en) * | 1978-01-26 | 1980-02-12 | Hazeltine Corporation | Phased array antenna with reduced phase quantization errors |
| US5103232A (en) * | 1991-04-18 | 1992-04-07 | Raytheon Company | Phase quantization error decorrelator for phased array antenna |
| CN101483274A (en) * | 2009-02-24 | 2009-07-15 | 中国航天科技集团公司第五研究院第五○四研究所 | External calibration method for phase variable power detecting array antenna |
-
2012
- 2012-08-01 CN CN201210271303.8A patent/CN102810742B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4188633A (en) * | 1978-01-26 | 1980-02-12 | Hazeltine Corporation | Phased array antenna with reduced phase quantization errors |
| US5103232A (en) * | 1991-04-18 | 1992-04-07 | Raytheon Company | Phase quantization error decorrelator for phased array antenna |
| CN101483274A (en) * | 2009-02-24 | 2009-07-15 | 中国航天科技集团公司第五研究院第五○四研究所 | External calibration method for phase variable power detecting array antenna |
Non-Patent Citations (2)
| Title |
|---|
| 张祖伦: "相控阵雷达中相位误差分析及补偿方法", 《雷达科学与技术》, vol. 8, no. 2, 30 April 2010 (2010-04-30) * |
| 杨晋云: "相控阵天线波束指向精度研究", 《中国优秀博硕士学位论文全文数据库》, 15 September 2004 (2004-09-15) * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109343004A (en) * | 2018-09-18 | 2019-02-15 | 南京理工大学 | An Iterative Feed-Phase Calculation Method for Improving the Beam Pointing Accuracy of Planar Phased Array Antennas |
| CN109343004B (en) * | 2018-09-18 | 2023-01-20 | 南京理工大学 | Iterative feed phase calculation method for improving beam pointing accuracy of planar phased array antenna |
| CN114553334A (en) * | 2022-04-28 | 2022-05-27 | 浩泰智能(成都)科技有限公司 | Phased array antenna pointing error measurement method, system, terminal and device |
| CN114553334B (en) * | 2022-04-28 | 2022-07-22 | 浩泰智能(成都)科技有限公司 | Phased array antenna pointing error measurement method, system, terminal and device |
Also Published As
| Publication number | Publication date |
|---|---|
| CN102810742B (en) | 2015-03-04 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| US8154452B2 (en) | Method and apparatus for phased array antenna field recalibration | |
| US10505610B2 (en) | Beamforming method and beamforming apparatus | |
| US11038601B2 (en) | Apparatus and method for calibrating analog phased antenna array | |
| JP5911331B2 (en) | Monopulse angle measuring device and monopulse angle measuring method | |
| Gruszczynski et al. | Reduced Sidelobe Four-Beam $ N $-Element Antenna Arrays Fed by $4 times N $ Butler Matrices | |
| Du Plessis | Weighted thinned linear array design with the iterative FFT technique | |
| CN102810742B (en) | Method for improving phased array beam-pointing accuracy | |
| EP2989683B1 (en) | Low cost active antenna system | |
| CN110133613A (en) | A Robust Beamforming Method for Frequency Steering Array Based on Semidefinite Relaxation Technique | |
| CN112600592B (en) | Butler matrix phase weighting optimization method and Butler matrix | |
| CN116165613A (en) | A Phase Calibration Method for Spaceborne Phased Array SAR | |
| EP1642403B1 (en) | Method for optimising at least one property of a satellite system and corresponding device | |
| CN101825715A (en) | Method for forming wave beam of satellite navigation receiving equipment | |
| Khayatian et al. | Radiation chararcteristics of reflectarray antennas: Methodology and applicatios to dual configurations | |
| JP2002176309A (en) | Antenna device and method for measuring the antenna | |
| Wang et al. | Rotating-element electric-field vector (REV) calibration method based on power measurement for phased array antenna | |
| RU2769087C1 (en) | Method of forming beam pattern of receiving digital antenna array | |
| Dogan et al. | A beamforming method enabling easy packaging of scalable architecture phased arrays | |
| Fadamiro et al. | A Fast and Accurate Multi-Element Calibration Algorithm of an Active Phased Antenna Array | |
| Yuan et al. | Calibrated design of beam-steerable antennas fed by varactor-based phase shifters | |
| CN102509889B (en) | Phase matching method for one-dimensional phase-swept array antenna by means of error accumulation and weighted shift | |
| Zhang et al. | Differential feeding technique for full-polarization conformal phased array | |
| JP7505898B2 (en) | Phased array antenna calibration device, phased array antenna device, and phased array antenna calibration program | |
| Yajima et al. | Beam pointing error of wideband phased array antennas with reduced true-time-delay devices | |
| Son et al. | Gain enhancement of large phased array antennas by phase error correction |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20150304 Termination date: 20180801 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |