CN106919787A - RECTIFYING ANTENNA battle array Antenna Subarray Division - Google Patents
RECTIFYING ANTENNA battle array Antenna Subarray Division Download PDFInfo
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- CN106919787A CN106919787A CN201710070433.8A CN201710070433A CN106919787A CN 106919787 A CN106919787 A CN 106919787A CN 201710070433 A CN201710070433 A CN 201710070433A CN 106919787 A CN106919787 A CN 106919787A
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Abstract
The invention discloses a kind of RECTIFYING ANTENNA battle array Antenna Subarray Division, including：Input rectifying antenna array characteristic parameter, rectification channel efficiency parameter, radiant power parameter and Subarray partition type parameter；Obtain radiosity curve；Obtain rectification channel efficiency curve；Obtain submatrix rectification efficiency expression formula；Object function is set up according to submatrix rectification efficiency；Uniform Subarray partition is carried out to RECTIFYING ANTENNA battle array；According to Subarray partition type selecting optimization design variable；Constraint function is obtained according to Subarray partition type；Set up RECTIFYING ANTENNA a period of time battle array Partitioning optimization model；Solve RECTIFYING ANTENNA a period of time battle array Partitioning optimization model；Output Subarray partition scheme；Obtain each submatrix modular unit number under Subarray partition scheme.The present invention carries out Subarray partition with rectification efficiency as target to RECTIFYING ANTENNA battle array, it is possible to achieve the total rectification efficiency of RECTIFYING ANTENNA battle array is maximized.
Description
Technical field
The invention belongs to Radar Antenna System field, and in particular to a kind of RECTIFYING ANTENNA battle array in Radar Antenna System field
Antenna Subarray Division.
Background technology
Wireless power transmission be space by solar energy collecting, electric energy is converted to, and by wireless energy transform device
Pass ground, then the system by being converted to ground electrical power by ground RECTIFYING ANTENNA back, can provide abundant, reliable clear for the mankind
The clean energy.Take on that to convert microwave energy into galvanic RECTIFYING ANTENNA be the important of microwave wireless energy transmission system on ground
Part, it is received and conversion efficiency is related to the success or failure that energy is wirelessly transferred, therefore domestic and foreign scholars for rectification day
Line is received and conversion microwave energy is studied, it is intended to is improved it and is converted to galvanic conversion efficiency.
T.Sakamoto et al. is in document " 5.8-GHz series/parallel connected rectenna array
using expandable differential rectenna units”(IEEE Transactions on Antennas
And Propagation, vol.61, no.9, September 2013) in propose it is a kind of serially with the rectification day of parallel connection
Linear array, realizes the conversion efficiency higher than 38% in laboratory environments；Although document is for the arrangement design of array antenna battle array
The form of single submatrix is employed, but it does not carry out the arrangement of polytype submatrix.Guo Genwu is in " microwave wireless energy transmission
A set of microwave wireless energy has been built in ground demonstration system research " (Xi'an University of Posts ＆ Telecommunications Master degree candidate academic dissertation in 2015)
The ground demonstration system of transmission is measured, and has carried out rectenna design, devise three seed array elements；But its method for designing according to
Equidistantly designed between submatrix unit, it is impossible to find optimal submatrix arrangement design.Therefore, go out from the angle for optimizing herein
Hair, with RECTIFYING ANTENNA rectification efficiency as object function, sets up the mathematical optimization models of Subarray partition, obtains whole from Optimized model
Current antenna Subarray partition optimization design scheme.
The content of the invention
The purpose of the present invention is to overcome above-mentioned the deficiencies in the prior art, there is provided a kind of RECTIFYING ANTENNA battle array Antenna Subarray Division.
The method is based on the thought of optimized design, with RECTIFYING ANTENNA rectification efficiency as object function, sets up the excellent of Subarray partition
Change is designed a model, and RECTIFYING ANTENNA Subarray partition optimization design scheme is obtained from Optimized model.
The technical scheme is that RECTIFYING ANTENNA battle array Antenna Subarray Division, comprises the following steps：
(1) input rectifying antenna array characteristic parameter, rectification channel efficiency parameter, radiant power parameter and Subarray partition type
Parameter
RECTIFYING ANTENNA battle array characteristic parameter, rectification channel efficiency parameter, radiant power parameter and submatrix that input user provides
Classified types parameter；Wherein, RECTIFYING ANTENNA battle array characteristic parameter includes working frequency, RECTIFYING ANTENNA battle array bore；Rectification channel efficiency
Parameter is included in rectification efficiency values different in starting point, terminal, flex point；Radiant power parameter includes maximum radiated power density
Value, radiant power curve type；Subarray partition type parameter includes Subarray partition type sum, all types of transverse and longitudinals of Subarray partition
Size；
(2) radiosity curve is obtained
Calculate according to the following formula and obtain radiosity curve：
P (r)=p0exp(-4ln10r2/a2)
Wherein, p represents radiosity curve, and r represents the upper any point of RECTIFYING ANTENNA battle array to the distance of central point, p0For
The maximum radiated power density value of input in step (1), exp represents the exponent arithmetic of natural logrithm, and ln represents that natural logrithm is transported
Calculate, a represents the RECTIFYING ANTENNA battle array bore of input in step (1)；
(3) rectification channel efficiency curve is obtained
3a) calculate according to the following formula and obtain radiation power value
W=∫σp(r)dσ
Wherein, W represents radiation power value, and p (r) represents the radiosity curve that step (2) is obtained, and r represents rectification
On antenna array any point to central point distance, σ represent RECTIFYING ANTENNA battle array on integral domain；
Second order, single order and the constant term coefficient of rectification channel efficiency curve 3b) are calculated according to the following formula
Wherein, A, B, C are respectively second order, single order and the constant term coefficient of rectification channel efficiency curve, η1、η2、η3Respectively
In starting point, flex point, the rectification channel efficiency value of terminal, P1、P2、P3The respectively radiosity of starting point, flex point, terminal
Value；
3c) calculate according to the following formula and obtain rectification channel efficiency curve
η=A (10lnW)2+B·(10lnW)+C
Wherein, η represents rectification channel efficiency curve, A, B, C be respectively the second order of rectification channel efficiency curve, single order with it is normal
Several coefficients, W is radiation power value, and ln represents natural logrithm computing；
(4) submatrix rectification efficiency expression formula is obtained
Wherein, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, WiFor i-th submatrix that step (3) is obtained is received
The radiant power for arriving, i is numbered for submatrix, ηiFor the corresponding rectification channel efficiency of i-th submatrix that step (3) is obtained, N is submatrix
Sum；
(5) object function is set up according to submatrix rectification efficiency
Selection maximizes submatrix rectification efficiency
F=- ηsum
Wherein, f is object function, ηsumIt is the submatrix rectification efficiency that step (4) is obtained, subscript sum represents summation；
(6) uniform Subarray partition is carried out to RECTIFYING ANTENNA battle array
The smallest size of submatrix type of submatrix transverse and longitudinal is selected in the Subarray partition type of user input from step (1),
With the smallest size of submatrix of transverse and longitudinal as partitioning standards, RECTIFYING ANTENNA battle array bore is carried out equidistantly according to submatrix transverse and longitudinal size
It is evenly dividing；
(7) according to Subarray partition type selecting optimization design variable
It is excellent according to the concentric radius of circle included by Subarray partition type selecting submatrix on the basis of uniform Subarray partition
Change design variable,
X=[r1,r2,...,rn]T
Wherein, X is optimization design variable column vector, r1, r2 ..., rnConcentric circles half included by respectively different submatrixs
Footpath, n represents Subarray partition type sum, and subscript T represents transposition computing；
(8) constraint function is obtained according to Subarray partition type
It is determined that on the basis of optimization design variable, constraint function is obtained according to Subarray partition type,
Wherein, r1, r2 ..., rnConcentric radius of circle included by respectively different submatrixs, n represents that Subarray partition type is total
Number, a represents RECTIFYING ANTENNA battle array bore；
(9) RECTIFYING ANTENNA a period of time battle array Partitioning optimization model is set up
On the basis of object function, optimization design variable, constraint function is obtained, RECTIFYING ANTENNA a period of time is set up according to the following formula
Battle array Partitioning optimization model：
Wherein, find represents optimization computing, and X is optimization design variable column vector, r1, r2 ..., rnRespectively different submatrixs
Included concentric radius of circle, n represents Subarray partition type sum, and subscript T represents transposition computing, and min represents that optimization takes minimum
Computing, f is object function, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, and s.t. represents constraint computing, and a represents rectification
Antenna array aperture；
(10) RECTIFYING ANTENNA a period of time battle array Partitioning optimization model is solved
RECTIFYING ANTENNA a period of time battle array Partitioning optimization model that solution procedure (9) is set up, obtains making rectification efficiency maximized excellent
Change design variable value；
(11) Subarray partition scheme is exported
The optimization design variate-value that output step (10) is obtained, including the corresponding concentric radius of circle of different Subarray partition types
Value；
(12) each submatrix modular unit number under Subarray partition scheme is obtained
On the basis of step (11), the corresponding each submatrix module of difference Subarray partition type under Subarray partition scheme is obtained
Unit number.
Beneficial effects of the present invention：The present invention input rectifying antenna array characteristic parameter, rectification channel efficiency parameter, spoke first
Power parameter and Subarray partition type parameter are penetrated, radiosity curve and rectification channel efficiency curve are obtained successively, and then
Submatrix rectification efficiency expression formula is obtained, and object function is set up with submatrix rectification efficiency；Secondly, uniform son is carried out to RECTIFYING ANTENNA
Battle array is divided, and Subarray partition type selecting optimization design variable and constraint function as requested, and combined objective function is set up whole
Current antenna a period of time battle array Partitioning optimization model；Finally by RECTIFYING ANTENNA Subarray partition Optimized model is solved, Subarray partition side is exported
Case, and obtain each submatrix modular unit number under Subarray partition scheme.
Compared with prior art, the present invention has advantages below：
1. the present invention realizes the synchronism of the different Subarray partitions of RECTIFYING ANTENNA battle array, and overcoming prior art cannot be carried out not
The deficiency that same type submatrix is divided simultaneously；
2. the present invention carries out Subarray partition to RECTIFYING ANTENNA battle array, it is possible to reduce submatrix number, improves RECTIFYING ANTENNA totally whole
Stream efficiency, realizes that rectification efficiency is maximized.
The present invention is described in further details below with reference to accompanying drawing.
Brief description of the drawings
Fig. 1 is flow chart of the invention；
Fig. 2 is RECTIFYING ANTENNA Subarray partition schematic diagram.
Specific embodiment
Below in conjunction with the accompanying drawings 1, the specific embodiment of the invention is described in further detail：
The invention provides a kind of RECTIFYING ANTENNA battle array Antenna Subarray Division, comprise the following steps：
Step 1, RECTIFYING ANTENNA battle array characteristic parameter, rectification channel efficiency parameter, radiant power parameter that input user provides
With Subarray partition type parameter；Wherein, RECTIFYING ANTENNA battle array characteristic parameter includes working frequency, RECTIFYING ANTENNA battle array bore；Rectification is led to
Road efficiency parameters are included in rectification efficiency values different in starting point, terminal, flex point；Radiant power parameter includes maximum radiated power
Density value, radiant power curve type；Subarray partition type parameter includes Subarray partition type sum, all types of horizontal strokes of Subarray partition
Longitudinal size；
Step 2, calculates obtain radiosity curve according to the following formula：
P (r)=p0exp(-4ln10r2/a2)
Wherein, p represents radiosity curve, and r represents the upper any point of RECTIFYING ANTENNA battle array to the distance of central point, p0For
The maximum radiated power density value being input into step 1, exp represents the exponent arithmetic of natural logrithm, and ln represents natural logrithm computing,
A represents the RECTIFYING ANTENNA battle array bore being input into step 1；
Step 3, obtains rectification channel efficiency curve
3a) calculate according to the following formula and obtain radiation power value
W=∫σp(r)dσ
Wherein, W represents radiation power value, and p (r) represents the radiosity curve that step 2 is obtained, and r represents rectification day
In linear array any point to central point distance, σ represent RECTIFYING ANTENNA battle array on integral domain；
Second order, single order and the constant term coefficient of rectification channel efficiency curve 3b) are calculated according to the following formula
Wherein, A, B, C are respectively second order, single order and the constant term coefficient of rectification channel efficiency curve, η1、η2、η3Respectively
In starting point, flex point, the rectification channel efficiency value of terminal, P1、P2、P3The respectively radiosity of starting point, flex point, terminal
Value；
3c) calculate according to the following formula and obtain rectification channel efficiency curve
η=A (10lnW)2+B·(10lnW)+C
Wherein, η represents rectification channel efficiency curve, A, B, C be respectively the second order of rectification channel efficiency curve, single order with it is normal
Several coefficients, W is radiation power value, and ln represents natural logrithm computing；
Step 4, obtains submatrix rectification efficiency expression formula according to the following formula
Wherein, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, WiFor i-th submatrix that step 3 is obtained is received
Radiant power, i be submatrix numbering, ηiIt is the corresponding rectification channel efficiency of i-th submatrix that step 3 is obtained, N is that submatrix is total
Number；
Step 5, submatrix rectification efficiency is maximized according to the selection of submatrix rectification efficiency
F=- ηsum
Wherein, f is object function, ηsumIt is the submatrix rectification efficiency that step 4 is obtained, subscript sum represents summation；
Step 6, selects the smallest size of submatrix class of submatrix transverse and longitudinal from step 1 in the Subarray partition type of user input
Type, with the smallest size of submatrix of transverse and longitudinal as partitioning standards, RECTIFYING ANTENNA battle array bore is carried out according to submatrix transverse and longitudinal size etc.
Spacing is evenly dividing；
Step 7, on the basis of uniform Subarray partition, according to the concentric circles included by Subarray partition type selecting submatrix half
Footpath is optimization design variable,
X=[r1,r2,...,rn]T
Wherein, X is optimization design variable column vector, r1,r2,…,rnConcentric circles half included by respectively different submatrixs
Footpath, n represents Subarray partition type sum, and subscript T represents transposition computing；
Step 8, it is determined that on the basis of optimization design variable, constraint function is obtained according to Subarray partition type,
Wherein, r1, r2 ..., rnConcentric radius of circle included by respectively different submatrixs, n represents that Subarray partition type is total
Number, a represents RECTIFYING ANTENNA battle array bore；
Step 9, on the basis of object function, optimization design variable, constraint function is obtained, sets up rectification day according to the following formula
Linear array Subarray partition Optimized model：
Wherein, find represents optimization computing, and X is optimization design variable column vector, r1,r2,…,rnRespectively different submatrixs
Included concentric radius of circle, n represents Subarray partition type sum, and subscript T represents transposition computing, and min represents that optimization takes minimum
Computing, f is object function, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, and s.t. represents constraint computing, and a represents rectification
Antenna array aperture；
Step 10, RECTIFYING ANTENNA a period of time battle array Partitioning optimization model that solution procedure 9 is set up, obtains maximizing rectification efficiency
Optimization design variate-value；
Step 11, the optimization design variate-value that output step 10 is obtained, including different Subarray partition types are corresponding with one heart
Radius of circle value；
Step 12, on the basis of step 11, obtains the corresponding each son of difference Subarray partition type under Subarray partition scheme
Array module unit number.
Advantages of the present invention can be further illustrated by following emulation experiment：
1. simulated conditions：
RECTIFYING ANTENNA bore is 4.8 meters × 4.8 meters, working frequency 5.8GHz；Rectification channel efficiency is respectively in starting point
40%, 60% and 40% conversion efficiency is reached at 15dBm, flex point 20dBm and terminal 25dBm；RECTIFYING ANTENNA battle array is received
Maximum radiated power density center value is 4.924mW/cm2, and radiosity curve meets Gaussian Profile；Subarray partition is 2
× 2,2 × 4,4 × 4,4 × 8,8 × 8 five classes, wherein 2 × 2 elementary cell spacing be 0.5 times of wavelength, other submatrix sizes according to
According to multiple recursion.
To maximize rectification efficiency as object function, RECTIFYING ANTENNA a period of time battle array Partitioning optimization model is set up, and solved.
The Subarray partition scheme obtained after final optimization pass is
r1=1500mm, r2=1880mm, r3=2260mm, r4=2640mm
Wherein, r1, r2, r3 and r4 represent respectively 2 × 2,2 × 4,4 × 4 with it is concentric included by 4 × 8 four class Subarray partitions
Radius of circle, outermost layer is 8 × 8 submatrixs.Fig. 2 is RECTIFYING ANTENNA Subarray partition schematic diagram.RECTIFYING ANTENNA battle array connects after Subarray partition
The total radiant power for receiving is 81.040W, and gross output is 47.907W, and conversion efficiency is 59.12%.Table 1 gives submatrix
The detailed number of submatrix module in a quarter quadrant obtained after division.
The detailed numerical statement of submatrix module in a quarter quadrant after the RECTIFYING ANTENNA of table 1 battle array Subarray partition
| Number of rings | Submatrix type | Radius mm | Submatrix number |
| First ring | 2×2 | 0~1500 | 614 |
| Second ring | 2×4 | 1500~1880 | 153 |
| 3rd ring | 4×4 | 1880~2260 | 94 |
| Fourth Ring | 4×8 | 2260~2640 | 35 |
| Five rings | 8×8 | 2640~3394.11 | 15 |
| Amount to | 911 |
In sum, present invention input rectifying antenna array characteristic parameter, rectification channel efficiency parameter, radiant power ginseng first
Number and Subarray partition type parameter, obtain radiosity curve and rectification channel efficiency curve, and then obtain submatrix successively
Rectification efficiency expression formula, and object function is set up with submatrix rectification efficiency；Secondly, uniform Subarray partition is carried out to RECTIFYING ANTENNA,
And Subarray partition type selecting optimization design variable and constraint function as requested, combined objective function set up RECTIFYING ANTENNA battle array
Subarray partition Optimized model；Finally by RECTIFYING ANTENNA Subarray partition Optimized model is solved, Subarray partition scheme is exported, and obtain
Each submatrix modular unit number under Subarray partition scheme.
Compared with prior art, the present invention has advantages below：
1. the present invention realizes the synchronism of the different Subarray partitions of RECTIFYING ANTENNA battle array, and overcoming prior art cannot be carried out not
The deficiency that same type submatrix is divided simultaneously；
2. the present invention carries out Subarray partition to RECTIFYING ANTENNA battle array, it is possible to reduce submatrix number, improves RECTIFYING ANTENNA totally whole
Stream efficiency, realizes that rectification efficiency is maximized.
There is no the part for describing in detail to belong to the known conventional means of the industry in present embodiment, do not chat one by one here
State.It is exemplified as above be only to of the invention for example, do not constitute the limitation to protection scope of the present invention, it is every with this
The same or analogous design of invention is belonged within protection scope of the present invention.
Claims (3)
1. RECTIFYING ANTENNA battle array Antenna Subarray Division, it is characterised in that comprise the following steps：
(1) input rectifying antenna array characteristic parameter, rectification channel efficiency parameter, radiant power parameter and Subarray partition type parameter
RECTIFYING ANTENNA battle array characteristic parameter, rectification channel efficiency parameter, radiant power parameter and Subarray partition that input user provides
Type parameter；Wherein, RECTIFYING ANTENNA battle array characteristic parameter includes working frequency, RECTIFYING ANTENNA battle array bore；Rectification channel efficiency parameter
It is included in rectification efficiency values different in starting point, terminal, flex point；Radiant power parameter includes maximum radiated power density value, spoke
Penetrate power curve type；Subarray partition type parameter includes Subarray partition type sum, all types of transverse and longitudinal sizes of Subarray partition；
(2) radiosity curve p (r) is obtained, wherein, p represents radiosity curve, and r is represented in RECTIFYING ANTENNA battle array
Distance of any point to central point；
(3) rectification channel efficiency curve is obtained
3a) calculate according to the following formula and obtain radiation power value
W=∫σp(r)dσ
Wherein, W represents radiation power value, and p (r) represents the radiosity curve that step (2) is obtained, and r represents RECTIFYING ANTENNA
In battle array any point to central point distance, σ represent RECTIFYING ANTENNA battle array on integral domain；
3b) calculate second order, single order and the constant term coefficient of rectification channel efficiency curve；
3c) calculate according to the following formula and obtain rectification channel efficiency curve
η=A (10lnW)2+B·(10lnW)+C
Wherein, η represents rectification channel efficiency curve, and A, B, C are respectively second order, single order and the constant term of rectification channel efficiency curve
Coefficient, W is radiation power value, and ln represents natural logrithm computing；
(4) submatrix rectification efficiency expression formula is obtained
Wherein, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, WiFor i-th submatrix that step (3) is obtained is received
Radiant power, i is numbered for submatrix, ηiIt is the corresponding rectification channel efficiency of i-th submatrix that step (3) is obtained, N is that submatrix is total
Number；
(5) object function is set up according to submatrix rectification efficiency
Selection maximizes submatrix rectification efficiency
F=- ηsum
Wherein, f is object function, ηsumIt is the submatrix rectification efficiency that step (4) is obtained, subscript sum represents summation；
(6) uniform Subarray partition is carried out to RECTIFYING ANTENNA battle array
The smallest size of submatrix type of submatrix transverse and longitudinal is selected in the Subarray partition type of user input from step (1), with horizontal stroke
The minimum submatrix of longitudinal size is partitioning standards, RECTIFYING ANTENNA battle array bore is carried out according to submatrix transverse and longitudinal size equidistantly uniform
Divide；
(7) according to Subarray partition type selecting optimization design variable
On the basis of uniform Subarray partition, according to the concentric radius of circle included by Subarray partition type selecting submatrix for optimization sets
Meter variable,
X=[r1,r2,...,rn]T
Wherein, X is optimization design variable column vector, r1,r2,…,rnConcentric radius of circle included by respectively different submatrixs, n tables
Show Subarray partition type sum, subscript T represents transposition computing；
(8) constraint function is obtained according to Subarray partition type
It is determined that on the basis of optimization design variable, constraint function is obtained according to Subarray partition type,
Wherein, r1,r2,…,rnConcentric radius of circle included by respectively different submatrixs, n represents Subarray partition type sum, a tables
Show RECTIFYING ANTENNA battle array bore；
(9) RECTIFYING ANTENNA a period of time battle array Partitioning optimization model is set up
On the basis of object function, optimization design variable, constraint function is obtained, RECTIFYING ANTENNA a period of time battle array is set up according to the following formula and is drawn
Divide Optimized model：
Find X=[r1,r2,...,rn]T
Min f=- ηsum
Wherein, find represents optimization computing, and X is optimization design variable column vector, r1,r2,…,rnRespectively different submatrixs are wrapped
The concentric radius of circle for including, n represents Subarray partition type sum, and subscript T represents transposition computing, and min represents that optimization takes minimum computing,
F is object function, ηsumIt is submatrix rectification efficiency, subscript sum represents summation, and s.t. represents constraint computing, and a represents RECTIFYING ANTENNA
Battle array bore；
(10) RECTIFYING ANTENNA a period of time battle array Partitioning optimization model is solved
RECTIFYING ANTENNA a period of time battle array Partitioning optimization model that solution procedure (9) is set up, obtains setting the maximized optimization of rectification efficiency
Meter variate-value；
(11) Subarray partition scheme is exported
The optimization design variate-value that output step (10) is obtained, including the corresponding concentric circles radius value of different Subarray partition types；
(12) each submatrix modular unit number under Subarray partition scheme is obtained
On the basis of step (11), the corresponding each submatrix modular unit of difference Subarray partition type under Subarray partition scheme is obtained
Number.
2. RECTIFYING ANTENNA as claimed in claim 1 battle array Antenna Subarray Division, it is characterised in that step is counted according to the following formula in (2)
Calculate and obtain radiosity curve：
P (r)=p0exp(-4ln10r2/a2)
Wherein, p represents radiosity curve, and r represents the upper any point of RECTIFYING ANTENNA battle array to the distance of central point, p0It is step
(1) the maximum radiated power density value of input in, exp represents the exponent arithmetic of natural logrithm, and ln represents natural logrithm computing, a
Represent the RECTIFYING ANTENNA battle array bore of input in step (1).
3. RECTIFYING ANTENNA as claimed in claim 1 battle array Antenna Subarray Division, it is characterised in that step 3b) in, count according to the following formula
Calculate second order, single order and the constant term coefficient of rectification channel efficiency curve
Wherein, A, B, C are respectively second order, single order and the constant term coefficient of rectification channel efficiency curve, η1、η2、η3Respectively locate
In starting point, flex point, the rectification channel efficiency value of terminal, P1、P2、P3The respectively radiosity value of starting point, flex point, terminal.
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| CN114171933A (en) * | 2021-11-29 | 2022-03-11 | 南京航空航天大学 | Microwave rectifier antenna array mode based on cross growth method |
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| CN114171933A (en) * | 2021-11-29 | 2022-03-11 | 南京航空航天大学 | Microwave rectifier antenna array mode based on cross growth method |
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