CN107145650A - Umbrella antenna Design of Structural parameters method based on optimal parameter of coincideing - Google Patents
Umbrella antenna Design of Structural parameters method based on optimal parameter of coincideing Download PDFInfo
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/36—Structural form of radiating elements, e.g. cone, spiral, umbrella; Particular materials used therewith
Abstract
The invention discloses a kind of umbrella antenna Design of Structural parameters method based on optimal parameter of coincideing, specific steps include：Input umbrella antenna structural parameters and electrical parameter；Calculate the segments of antenna rib；Calculate the coordinate put on rib；Calculate the coordinate of adjacent intercostal point；Generate all node coordinates of umbrella antenna；Calculate node optical path difference direct ratio vector；The identical geometry battle array of calculate node；Calculate weighting matrix；Calculate most preferably identical parameter column vector；Export the axial precision of umbrella antenna；Judge whether axial precision meets requirement；Export umbrella antenna structural parameters；Update umbrella antenna structural parameters.The present invention considers the characteristics of umbrella antenna is put together using dough sheet, based on most preferably coincideing, paraboloidal concept is analyzed the axial precision of umbrella antenna, and introduce electrical parameters of antenna in the calculating of axial precision, pass through the axial precision for the gain of parameter umbrella antenna that most preferably coincide；The present invention can instruct the Design of Mechanical Structure and electromechanical Integrated Optimal Design of umbrella antenna.
Description
Technical field
The invention belongs to Radar Antenna System field, and in particular to one kind in radar antenna field is based on optimal ginseng of coincideing
Several umbrella antenna Design of Structural parameters methods.
Background technology
The umbrella antenna being made up of antenna rib, metallic reflection silk screen, tension cord net etc. is one kind of satellite antenna structure.By
Have the advantages that in it simple in construction, lightweight, inexpensive, umbrella antenna is with a wide range of applications in AEROSPACE APPLICATION.
Because umbrella antenna is using flexible woven wire composition antenna reflective face, it inevitably introduces dough sheet split error, i.e.,
The original reason error of umbrella antenna conceptual phase.Although existing literature for the umbrella antenna errors of principles carried out calculate with
Assess, but it does not account for umbrella antenna aperture field amplitude distribution from single division of discipline field, also just not by umbrella
Aperture field amplitude distribution function in shape electrical parameters of antenna is incorporated into the calculating of precision.Therefore, it is necessary to what slave was electrically integrated
Angle, by umbrella antenna aperture field amplitude distribution with the calculating that axial precision is incorporated into the form of weighted factor, i.e., from optimal
Paraboloidal concept of coincideing is set out, and carries out the axial precision analysis of electromechanical integrated umbrella antenna.
Li Xiaoping and Xu Dehong are in paper " netted two kinds of wire side forming mode analyses of deployable antenna " (electric mechanical work
Journey, volume 26 the 1st phase, 38-40 in 2010) netted two kinds of wire side forming modes of deployable antenna are summarized, give umbrella day
The surface Root Mean Square value error calculation formula of line.The formula does not account for the electricity of umbrella antenna from the angle of single subject
Parameter.Wang Congsi etc. and cold state person of outstanding talent etc. are respectively in paper " Method for Accurate Calculation and Electrical Analysis of antenna surface error " (electricity
Wave science journal, volume 26 the 3rd phase, 403-409 in 2006) and " Method for Accurate Calculation of the most preferably identical axial error of antenna "
Miss on the surface proposed in (electric wave science journal, volume 24 the 5th phase, 826-831 in 2009) for ground basic circle parabola antenna
Poor computational methods and improved method, however, these methods can be not applied directly on the umbrella antenna using dough sheet split, also
The errors of principles that is difficult to directly obtain umbrella antenna, it is necessary to its method is modified with it is perfect.Therefore, adopted for umbrella antenna
This feature being put together with dough sheet, the angle that slave is electrically integrated is set out, by umbrella antenna aperture field amplitude distribution to weight
The form of the factor is incorporated into the calculating of axial precision, and the axial accuracy computation of umbrella antenna is carried out based on optimal parameter of coincideing,
And umbrella antenna Design of Structural parameters is carried out with this.
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 umbrella day based on optimal parameter of coincideing
Bobbin is to accuracy computation method.This method is based on most preferably identical parameter, from paraboloidal angle of most preferably coincideing, it is contemplated that umbrella
The characteristics of shape antenna is put together using dough sheet, axle is incorporated into by umbrella antenna aperture field amplitude distribution in the form of weighted factor
Into the calculating of precision, the axial precision of umbrella antenna is obtained, the Design of Mechanical Structure and electromechanics of umbrella antenna can be instructed integrated excellent
Change design.
The technical scheme is that：Based on the umbrella antenna Design of Structural parameters method of optimal parameter of coincideing, bag
Include following steps：
(1) input umbrella antenna structural parameters and electrical parameter
Input the structural parameters and electrical parameter for the umbrella antenna that user provides；Wherein structural parameters include umbrella antenna mouthful
Footpath, focal length, offset or dish, rib number and axial accuracy Design requirement；Electrical parameter includes operation wavelength, antenna aperture field amplitude and is distributed
Function；
(2) the antenna structure parameter provided according to user calculates the segments of antenna rib with electrical parameter；
(3) the antenna structure parameter and the segments of rib provided according to user, calculates the coordinate put on rib；
(4) coordinate of adjacent intercostal point is calculated
The characteristic of parabolic cylinder is constituted according to adjacent rib, the coordinate of adjacent intercostal point is calculated with reference to point coordinates on rib；According to
The closing characteristics of umbrella antenna circle bore, calculate the coordinate for the intercostal point that nth root rib and the 1st rib are constituted；
(5) all node coordinates of umbrella antenna are generated
Point, the coordinate of adjacent intercostal point and origin, which are merged, on the rib that calculating is obtained obtains umbrella antenna institute
There is node coordinate；
(6) calculate node optical path difference direct ratio vector
On the basis of all node coordinates of umbrella antenna are obtained, the nondimensional number of all node axial displacements is calculated,
On the basis of the nondimensional number for obtaining all node axial displacements, calculate node optical path difference direct ratio vector；
(7) the identical geometry battle array of calculate node
On the basis of all node coordinates of umbrella antenna are obtained, the nondimensional number of all node coordinates is calculated, is being obtained
On the basis of the nondimensional number of all node coordinates, the identical geometry battle array of calculate node；
(8) weighting matrix is calculated
On the basis of the nondimensional number of all node coordinates is obtained, the antenna aperture field amplitude distribution inputted with reference to user
Function, calculate node weighted factor；On the basis of all node weighted factors are obtained, weighting matrix is calculated；
(9) most preferably identical parameter column vector is calculated；
(10) the axial precision of output umbrella antenna
On the basis of most preferably identical parameter column vector is obtained, the axial precision of umbrella antenna is exported according to the following formula
Wherein, δ represents the axial precision of umbrella antenna, and B represents node optical path difference direct ratio vector, and V represents that node coincide geometry
Battle array, H represents parameter column vector of most preferably coincideing, and Q represents weighting matrix.
(11) judge whether axial precision meets requirement
Judge whether umbrella antenna axial direction precision meets axial accuracy Design requirement under most preferably identical parameter, will if met
Ask, go to step (12), otherwise go to step (13)；
(12) umbrella antenna structural parameters are exported
When umbrella antenna axial direction precision meets axial accuracy Design requirement under optimal parameter of coincideing, umbrella antenna knot is exported
Structure parameter；
(13) umbrella antenna structural parameters are updated
When umbrella antenna axial direction precision is unsatisfactory for axial accuracy Design requirement under optimal parameter of coincideing, umbrella antenna is updated
Structural parameters, go to step (1).
The segments of antenna rib carries out selection calculating according to the following formula in step (2)：
Wherein, λ is operation wavelength, and D is umbrella antenna bore, m be it needs to be determined that antenna rib segments, m takes satisfaction
The integer of above formula condition.
The antenna structure parameter and the segments of rib provided in step (3) according to user, calculates what is put on rib according to the following formula
Coordinate：
Wherein, xi,j、yi,j、zi,jThe x respectively put on rib is to coordinate, y to coordinate and z to coordinate, and subscript i represents that rib is compiled
Number, numbering is put where subscript j is represented on rib, D represents umbrella antenna bore, and m represents the segments of antenna rib, and π represents pi,
N represents rib number, and f represents umbrella antenna focal length, and rib numbering i span is that the span for putting numbering j on rib from 1 to N is
From 1 to m.
In step (4)：
The characteristic of parabolic cylinder 4a) is constituted according to adjacent rib, adjacent intercostal point is calculated according to the following formula with reference to point coordinates on rib
Coordinate：
Wherein, xi,j,k、yi,j,k、zi,j,kThe x of respectively adjacent intercostal point is to coordinate, y to coordinate and z to coordinate, subscript i
Expression rib numbering, puts numbering on rib where subscript j is represented, subscript k represents numbering of the adjacent intercostal point in respective ribs between point,
Rib numbering i span is, from 1 to N-1, numbering j span to be put on rib for from 2 to m, adjacent intercostal point is in respective ribs
The span of numbering k between upper point is the x from 1 to j-1i,j、yi,j、zi,jRepresent what is put on i-th rib on j-th of rib respectively
X is to coordinate, y to coordinate and z to coordinate, xi+1,j、yi+1,j、zi+1,jJth on the i+1 root rib adjacent with i-th rib is represented respectively
The x put on individual rib is to coordinate, y to coordinate and z to coordinate；
4b) according to the closing characteristics of the circular bore of umbrella antenna, calculating nth root rib and the 1st rib are constituted according to the following formula
The coordinate of intercostal point：
Wherein, xN,j,k、yN,j,k、zN,j,kThe respectively x for the intercostal point that nth root rib and the 1st rib are constituted is to coordinate, y to seat
Mark with z to coordinate, subscript N represent nth root rib number, subscript j represent on nth root rib put numbering, subscript k represent nth root rib with
Point numbering j span is the nth root from 2 to m on numbering of the intercostal point that 1st rib is constituted in respective ribs between point, rib
Numbering k of the intercostal point that rib and the 1st rib are constituted in respective ribs between point span is the x from 1 to j-1N,j、yN,j、
zN,jRepresent the x that is put on nth root rib on j-th of rib to coordinate, y to coordinate and z to coordinate, x respectively1,j、y1,j、z1,jRepresent respectively
The x put on 1st rib on j-th of rib is to coordinate, y to coordinate and z to coordinate.
Calculate node optical path difference direct ratio vector specifically includes following steps in step (6)：
6a) on the basis of all node coordinates of umbrella antenna are obtained, all node axial displacements are calculated according to the following formula
Nondimensional number：
Wherein, WpThe nondimensional number of p-th of node axial displacement is represented, subscript p represents volume of the node in all nodes
Number, xp、yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
6b) on the basis of the nondimensional number of all node axial displacements is obtained, calculate node optical path difference is being just according to the following formula
Than vector：
Wherein, B is node optical path difference direct ratio vector, W1With WnThe 1st node axle corresponding with n-th of node is represented respectively
To the nondimensional number of displacement, subscript n represents all node total numbers.
The identical geometry battle array of calculate node specifically includes following steps in step (7)：
7a) obtain all node coordinates of umbrella antenna on the basis of, calculate according to the following formula all node coordinates without because
Secondary amounts：
Wherein, Xp、Yp、ZpNondimensional numbers of p-th of node x to, y to, z to coordinate is represented respectively, and subscript p represents node
Numbering in all nodes, xp、yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
7b) on the basis of the nondimensional number of all node coordinates is obtained, calculate node is coincide geometry battle array according to the following formula：
Wherein, V represents the identical geometry battle array of node, X1、Y1、Z1Nothings of the 1st node x to, y to, z to coordinate is represented respectively
Dimensional quantity, Xn、Yn、ZnNondimensional numbers of n-th of node x to, y to, z to coordinate is represented respectively, and subscript n represents that all nodes are total
Number.
Weighting matrix is calculated in step (8) and specifically includes following steps：
8a) on the basis of the nondimensional number of all node coordinates is obtained, the antenna aperture field amplitude inputted with reference to user
Distribution function, according to the following formula calculate node weighted factor：
Wherein, QpThe weighted factor of p-th of node is represented, subscript p represents numbering of the node in all nodes, ZpRepresent
P-th of node z is to the nondimensional number of coordinate, qpRepresent that the aperture field amplitude distribution function that is inputted according to user calculates the obtained
The corresponding aperture field amplitude distribution value of p node, f represents antenna focal length；
8b) on the basis of all node weighted factors are obtained, weighting matrix is calculated according to the following formula：
Q=diag ({ Q1,Q2,…,Qn})
Wherein, Q is weighting matrix, and diag () represents vector being converted to matrix operation, Q1、Q2、QnThe 1st, 2 are represented respectively
Weighted factor corresponding with n node, subscript n represents all node total numbers.
Most preferably identical parameter column vector is calculated in step (9) according to the following formula
H=(VTQV)-1VQB
Wherein, H represents parameter column vector of most preferably coincideing, and V represents the identical geometry battle array of node, and B represents node optical path difference direct ratio
Vector, Q represents weighting matrix, and subscript T represents transposition computing, and subscript -1 represents inversion operation.
Beneficial effects of the present invention：The present invention input umbrella antenna structural parameters and electrical parameter first, according to structural parameters
The segments of antenna rib is calculated with electrical parameter information；Secondly, the coordinate for the coordinate and adjacent intercostal point put on rib is calculated successively, and
Generate all node coordinates of umbrella antenna；Again, according to node coordinate and electrical parameter, successively calculate node optical path difference direct ratio to
The identical geometry battle array of amount, node and weighting matrix；Then, by obtain node optical path difference direct ratio vector, node coincide geometry battle array with
Weighting matrix calculates most preferably identical parameter column vector, the most preferably identical parameter of output and the axial precision of umbrella antenna；Finally, axle is judged
Whether design requirement is met to precision, umbrella antenna structural parameters are exported if meeting and requiring, otherwise update antenna structure ginseng
Number, realizes umbrella antenna Design of Structural parameters.
Compared with prior art, the present invention has advantages below：
1. the present invention is based on paraboloidal concept of most preferably coincideing, it is contemplated that umbrella antenna uses the spy that dough sheet is put together
Point, by the calculating that the aperture field amplitude distribution function in electrical parameters of antenna is incorporated into axial precision in the form of weighted factor
In, obtain the most preferably identical parameter of umbrella antenna and axial precision；
2. the present invention from structure list subject compared with carrying out the method for axial precision analysis before, by electrical parameters of antenna
Information is incorporated into error calculation, realizes the electromechanical integrated analysis of the axial precision of umbrella antenna.
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 umbrella antenna structural representation；
Fig. 3 is umbrella antenna perspective view.
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 umbrella antenna Design of Structural parameters method based on optimal parameter of coincideing, including such as
Lower step：
Step 1, the structural parameters and electrical parameter for the umbrella antenna that input user provides；Wherein structural parameters include umbrella day
Line bore, focal length, offset or dish, rib number and axial accuracy Design requirement；Electrical parameter includes operation wavelength, antenna aperture field amplitude
Distribution function；
Step 2, the antenna structure parameter provided according to user calculates the segments of antenna rib, wherein segments with electrical parameter
Selection calculating is carried out according to the following formula：
Wherein, λ is operation wavelength, and D is umbrella antenna bore, m be it needs to be determined that antenna rib segments, m takes satisfaction
The integer of above formula condition；
Step 3, the antenna structure parameter and the segments of rib provided according to user, calculates the seat put on rib according to the following formula
Mark：
Wherein, xi,j、yi,j、zi,jThe x respectively put on rib is to coordinate, y to coordinate and z to coordinate, and subscript i represents that rib is compiled
Number, numbering is put where subscript j is represented on rib, D represents umbrella antenna bore, and m represents the segments of antenna rib, and π represents pi,
N represents rib number, and f represents umbrella antenna focal length, and rib numbering i span is that the span for putting numbering j on rib from 1 to N is
From 1 to m；
Step 4, the coordinate of adjacent intercostal point is calculated
The characteristic of parabolic cylinder 4a) is constituted according to adjacent rib, adjacent intercostal point is calculated according to the following formula with reference to point coordinates on rib
Coordinate：
Wherein, xi,j,k、yi,j,k、zi,j,kThe x of respectively adjacent intercostal point is to coordinate, y to coordinate and z to coordinate, subscript i
Expression rib numbering, puts numbering on rib where subscript j is represented, subscript k represents numbering of the adjacent intercostal point in respective ribs between point,
Rib numbering i span is, from 1 to N-1, numbering j span to be put on rib for from 2 to m, adjacent intercostal point is in respective ribs
The span of numbering k between upper point is the x from 1 to j-1i,j、yi,j、zi,jRepresent what is put on i-th rib on j-th of rib respectively
X is to coordinate, y to coordinate and z to coordinate, xi+1,j、yi+1,j、zi+1,jJth on the i+1 root rib adjacent with i-th rib is represented respectively
The x put on individual rib is to coordinate, y to coordinate and z to coordinate；
4b) according to the closing characteristics of the circular bore of umbrella antenna, calculating nth root rib and the 1st rib are constituted according to the following formula
The coordinate of intercostal point：
Wherein, xN,j,k、yN,j,k、zN,j,kThe respectively x for the intercostal point that nth root rib and the 1st rib are constituted is to coordinate, y to seat
Mark with z to coordinate, subscript N represent nth root rib number, subscript j represent on nth root rib put numbering, subscript k represent nth root rib with
Point numbering j span is the nth root from 2 to m on numbering of the intercostal point that 1st rib is constituted in respective ribs between point, rib
Numbering k of the intercostal point that rib and the 1st rib are constituted in respective ribs between point span is the x from 1 to j-1N,j、yN,j、
zN,jRepresent the x that is put on nth root rib on j-th of rib to coordinate, y to coordinate and z to coordinate, x respectively1,j、y1,j、z1,jRepresent respectively
The x put on 1st rib on j-th of rib is to coordinate, y to coordinate and z to coordinate；
Step 5, point, the coordinate of adjacent intercostal point and origin on obtained rib will be calculated to merge and obtain umbrella
All node coordinates of antenna；
Step 6, calculate node optical path difference direct ratio vector
6a) on the basis of all node coordinates of umbrella antenna are obtained, all node axial displacements are calculated according to the following formula
Nondimensional number：
Wherein, WpThe nondimensional number of p-th of node axial displacement is represented, subscript p represents volume of the node in all nodes
Number, xp、yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
6b) on the basis of the nondimensional number of all node axial displacements is obtained, calculate node optical path difference is being just according to the following formula
Than vector：
Wherein, B is node optical path difference direct ratio vector, W1With WnThe 1st node axle corresponding with n-th of node is represented respectively
To the nondimensional number of displacement, subscript n represents all node total numbers；
Step 7, the identical geometry battle array of calculate node
7a) obtain all node coordinates of umbrella antenna on the basis of, calculate according to the following formula all node coordinates without because
Secondary amounts：
Wherein, Xp、Yp、ZpNondimensional numbers of p-th of node x to, y to, z to coordinate is represented respectively, and subscript p represents node
Numbering in all nodes, xp、yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
7b) on the basis of the nondimensional number of all node coordinates is obtained, calculate node is coincide geometry battle array according to the following formula：
Wherein, V represents the identical geometry battle array of node, X1、Y1、Z1Nothings of the 1st node x to, y to, z to coordinate is represented respectively
Dimensional quantity, Xn、Yn、ZnNondimensional numbers of n-th of node x to, y to, z to coordinate is represented respectively, and subscript n represents that all nodes are total
Number；
Step 8, weighting matrix is calculated
8a) on the basis of the nondimensional number of all node coordinates is obtained, the antenna aperture field amplitude inputted with reference to user
Distribution function, according to the following formula calculate node weighted factor：
Wherein, QpThe weighted factor of p-th of node is represented, subscript p represents numbering of the node in all nodes, ZpRepresent
P-th of node z is to the nondimensional number of coordinate, qpRepresent that the aperture field amplitude distribution function that is inputted according to user calculates the obtained
The corresponding aperture field amplitude distribution value of p node, f represents antenna focal length；
8b) on the basis of all node weighted factors are obtained, weighting matrix is calculated according to the following formula：
Q=diag ({ Q1,Q2,…,Qn})
Wherein, Q is weighting matrix, and diag () represents vector being converted to matrix operation, Q1、Q2、QnThe 1st, 2 are represented respectively
Weighted factor corresponding with n node, subscript n represents all node total numbers；
Step 9, most preferably identical parameter column vector is calculated according to the following formula：
H=(VTQV)-1VQB
Wherein, H represents parameter column vector of most preferably coincideing, and V represents the identical geometry battle array of node, and B represents node optical path difference direct ratio
Vector, Q represents weighting matrix, and subscript T represents transposition computing, and subscript -1 represents inversion operation；
Step 10, on the basis of most preferably identical parameter column vector is obtained, the axial precision of umbrella antenna is exported according to the following formula：
Wherein, δ represents the axial precision of umbrella antenna, and B represents node optical path difference direct ratio vector, and V represents that node coincide geometry
Battle array, H represents parameter column vector of most preferably coincideing, and Q represents weighting matrix；
Step 11, judge whether umbrella antenna axial direction precision meets axial accuracy Design requirement under most preferably identical parameter, such as
Fruit, which meets, to be required then to go to step 12, otherwise goes to step 13；
Step 12, when umbrella antenna axial direction precision meets axial accuracy Design requirement under optimal parameter of coincideing, umbrella is exported
Shape antenna structure parameter；
Step 13, when umbrella antenna axial direction precision is unsatisfactory for axial accuracy Design requirement under optimal parameter of coincideing, update
Umbrella antenna structural parameters, go to step 1.
Advantages of the present invention can be further illustrated by following emulation experiment：
1. simulated conditions：
Umbrella antenna bore 0.5m, focal length 0.25m, offset or dish 0, rib number is 30, working frequency 35.75GHz, operating wave
A length of 8.392mm, antenna aperture field amplitude distribution function is
Wherein, q is any point aperture field amplitude distribution function value on umbrella antenna, and ρ is umbrella antenna any point in bore
Polar coordinates length component on face, D is umbrella antenna bore.
Umbrella antenna structural representation is as shown in Fig. 2 umbrella antenna perspective view is as shown in Figure 3.
2. simulation result：
The axial precision of umbrella antenna based on optimal parameter of coincideing is carried out using the method for the present invention, and exports optimal coincide
Parameter and axial precision.The most preferably identical parameter of final output is：
The displacement of optimal identical parabola vertex relative ideal parabola vertex in three directions is zero, by right hand spiral shell
The axis corner of rotation orientation is also zero, and most preferably identical parabola relative ideal parabola focal length is changed, focal length variations for-
1.8331mm, i.e. focal length shorten 1.8331mm.
The axial precision of umbrella antenna is 0.08631mm under optimal parameter of coincideing.
In summary, present invention input umbrella antenna structural parameters and electrical parameter first, according to structural parameters and electrical parameter
Information calculates the segments of antenna rib；Secondly, the coordinate for the coordinate and adjacent intercostal point put on rib is calculated successively, and generates umbrella
All node coordinates of antenna；Again, according to node coordinate and electrical parameter, calculate node optical path difference direct ratio vector, node are kissed successively
Close geometry battle array and weighting matrix；Then, by obtaining the identical geometry battle array of node optical path difference direct ratio vector, node and weighting matrix meter
Calculate most preferably identical parameter column vector, the most preferably identical parameter of output and the axial precision of umbrella antenna；Finally, whether axial precision is judged
Design requirement is met, umbrella antenna structural parameters are exported if meeting and requiring, antenna structure parameter is otherwise updated, realizes umbrella
Antenna structure Parameters Optimal Design.
Compared with prior art, the present invention has advantages below：
1. the present invention is based on paraboloidal concept of most preferably coincideing, it is contemplated that umbrella antenna uses the spy that dough sheet is put together
Point, by the calculating that the aperture field amplitude distribution function in electrical parameters of antenna is incorporated into axial precision in the form of weighted factor
In, obtain the most preferably identical parameter of umbrella antenna and axial precision；
2. the present invention from structure list subject compared with carrying out the method for axial precision analysis before, by electrical parameters of antenna
Information is incorporated into error calculation, realizes the electromechanical integrated analysis of the axial precision of umbrella antenna.
There is no the part described 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 the present 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 (8)
1. the umbrella antenna Design of Structural parameters method based on optimal parameter of coincideing, it is characterised in that comprise the following steps：
(1) input umbrella antenna structural parameters and electrical parameter
Input the structural parameters and electrical parameter for the umbrella antenna that user provides；Wherein structural parameters include umbrella antenna bore, Jiao
Away from, offset or dish, rib number and the requirement of axial accuracy Design；Electrical parameter includes operation wavelength, antenna aperture field amplitude distribution function；
(2) the antenna structure parameter provided according to user calculates the segments of antenna rib with electrical parameter；
(3) the antenna structure parameter and the segments of rib provided according to user, calculates the coordinate put on rib；
(4) coordinate of adjacent intercostal point is calculated
The characteristic of parabolic cylinder is constituted according to adjacent rib, the coordinate of adjacent intercostal point is calculated with reference to point coordinates on rib；According to umbrella
The closing characteristics of antenna circle bore, calculate the coordinate for the intercostal point that nth root rib and the 1st rib are constituted；
(5) all node coordinates of umbrella antenna are generated
Point, the coordinate of adjacent intercostal point and origin, which are merged, on the rib that calculating is obtained obtains all sections of umbrella antenna
Point coordinates；
(6) calculate node optical path difference direct ratio vector
On the basis of all node coordinates of umbrella antenna are obtained, the nondimensional number of all node axial displacements is calculated, is being obtained
On the basis of the nondimensional number of all node axial displacements, calculate node optical path difference direct ratio vector；
(7) the identical geometry battle array of calculate node
On the basis of all node coordinates of umbrella antenna are obtained, the nondimensional number of all node coordinates is calculated, is being owned
On the basis of the nondimensional number of node coordinate, the identical geometry battle array of calculate node；
(8) weighting matrix is calculated
On the basis of the nondimensional number of all node coordinates is obtained, the antenna aperture field amplitude inputted with reference to user is distributed letter
Number, calculate node weighted factor；On the basis of all node weighted factors are obtained, weighting matrix is calculated；
(9) most preferably identical parameter column vector is calculated；
(10) the axial precision of output umbrella antenna
On the basis of most preferably identical parameter column vector is obtained, the axial precision of umbrella antenna is exported according to the following formula
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<mi>&delta;</mi>
<mo>=</mo>
<msqrt>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<mi>B</mi>
<mo>-</mo>
<mi>V</mi>
<mo>&CenterDot;</mo>
<mi>H</mi>
<mo>)</mo>
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<mi>Q</mi>
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<mo>&CenterDot;</mo>
<mi>H</mi>
<mo>)</mo>
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</mrow>
</msqrt>
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Wherein, δ represents the axial precision of umbrella antenna, and B represents node optical path difference direct ratio vector, and V represents the identical geometry battle array of node, H
Most preferably identical parameter column vector is represented, Q represents weighting matrix；
(11) judge whether axial precision meets requirement
Judge whether umbrella antenna axial direction precision meets axial accuracy Design requirement under most preferably identical parameter, if meeting and requiring
Step (12) is gone to, step (13) is otherwise gone to；
(12) umbrella antenna structural parameters are exported
When umbrella antenna axial direction precision meets axial accuracy Design requirement under optimal parameter of coincideing, output umbrella antenna structure ginseng
Number；
(13) umbrella antenna structural parameters are updated
When umbrella antenna axial direction precision is unsatisfactory for axial accuracy Design requirement under optimal parameter of coincideing, umbrella antenna structure is updated
Parameter, goes to step (1).
2. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, the segments of antenna rib carries out selection calculating according to the following formula in step (2)：
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<mfrac>
<mn>1</mn>
<mn>5</mn>
</mfrac>
<mi>&lambda;</mi>
<mo>&le;</mo>
<mfrac>
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</mfrac>
<mo>&le;</mo>
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
<mi>&lambda;</mi>
</mrow>
Wherein, λ is operation wavelength, and D is umbrella antenna bore, m be it needs to be determined that antenna rib segments, m, which takes, meets above formula
The integer of condition.
3. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, the antenna structure parameter and the segments of rib provided in step (3) according to user, the seat put on rib is calculated according to the following formula
Mark：
<mrow>
<msub>
<mi>x</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mi>D</mi>
<mrow>
<mn>2</mn>
<mi>m</mi>
</mrow>
</mfrac>
<mo>&CenterDot;</mo>
<mi>j</mi>
<mo>&CenterDot;</mo>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
<mi>N</mi>
</mfrac>
<mo>&CenterDot;</mo>
<mo>(</mo>
<mrow>
<mi>i</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>y</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mi>D</mi>
<mrow>
<mn>2</mn>
<mi>m</mi>
</mrow>
</mfrac>
<mo>&CenterDot;</mo>
<mi>j</mi>
<mo>&CenterDot;</mo>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
<mi>N</mi>
</mfrac>
<mo>&CenterDot;</mo>
<mo>(</mo>
<mrow>
<mi>i</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msubsup>
<mi>x</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>y</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
<mn>2</mn>
</msubsup>
</mrow>
<mrow>
<mn>4</mn>
<mi>f</mi>
</mrow>
</mfrac>
</mrow>
Wherein, xi,j、yi,j、zi,jThe x respectively put on rib is to coordinate, y to coordinate and z to coordinate, and subscript i represents that rib is numbered, under
Numbering is put where mark j is represented on rib, D represents umbrella antenna bore, and m represents the segments of antenna rib, and π represents pi, and N is represented
Rib number, f represents umbrella antenna focal length, rib numbering i span be from 1 to N, put on rib numbering j span for from 1 to
m。
4. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, in step (4)：
The characteristic of parabolic cylinder 4a) is constituted according to adjacent rib, the seat of adjacent intercostal point is calculated according to the following formula with reference to point coordinates on rib
Mark：
<mrow>
<msub>
<mi>x</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>x</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>x</mi>
<mrow>
<mi>i</mi>
<mo>+</mo>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>y</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>y</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>y</mi>
<mrow>
<mi>i</mi>
<mo>+</mo>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>z</mi>
<mrow>
<mi>i</mi>
<mo>+</mo>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
Wherein, xi,j,k、yi,j,k、zi,j,kThe x of respectively adjacent intercostal point is to coordinate, y to coordinate and z to coordinate, and subscript i is represented
Rib is numbered, and puts numbering where subscript j is represented on rib, and subscript k represents numbering of the adjacent intercostal point in respective ribs between point, and rib is compiled
Number i span is, from 1 to N-1, numbering j span to be put on rib for from 2 to m, adjacent intercostal point point in respective ribs
Between numbering k span be from 1 to j-1, xi,j、yi,j、zi,jRepresent respectively the x that is put on i-th rib on j-th of rib to
Coordinate, y are to coordinate and z to coordinate, xi+1,j、yi+1,j、zi+1,jRespectively j-th on the expression i+1 root rib adjacent with i-th rib
The x put on rib is to coordinate, y to coordinate and z to coordinate；
4b) according to the closing characteristics of the circular bore of umbrella antenna, the intercostal that nth root rib and the 1st rib are constituted is calculated according to the following formula
The coordinate of point：
<mrow>
<msub>
<mi>x</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>x</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>x</mi>
<mrow>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>y</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>y</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>y</mi>
<mrow>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msub>
<mi>z</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
<mo>,</mo>
<mi>k</mi>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<mo>)</mo>
</mrow>
<msub>
<mi>z</mi>
<mrow>
<mi>N</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>k</mi>
<mi>j</mi>
</mfrac>
<msub>
<mi>z</mi>
<mrow>
<mn>1</mn>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
</mrow>
Wherein, xN,j,k、yN,j,k、zN,j,kThe respectively x for the intercostal point that nth root rib and the 1st rib are constituted to coordinate, y to coordinate with
Z is to coordinate, and subscript N represents that nth root rib is numbered, and subscript j represents to put numbering on nth root rib, and subscript k represents nth root rib and the 1st
The intercostal point that rib is constituted put in respective ribs between numbering, on rib point numbering j span be from 2 to m, nth root rib and
Numbering k of the intercostal point that 1st rib is constituted in respective ribs between point span is the x from 1 to j-1N,j、yN,j、zN,jPoint
The x that Biao Shi do not put on j-th of rib on nth root rib is to coordinate, y to coordinate and z to coordinate, x1,j、y1,j、z1,jThe 1st is represented respectively
The x put on rib on j-th of rib is to coordinate, y to coordinate and z to coordinate.
5. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, calculate node optical path difference direct ratio vector specifically includes following steps in step (6)：
6a) obtain all node coordinates of umbrella antenna on the basis of, calculate according to the following formula all node axial displacements without because
Secondary amounts：
<mrow>
<msub>
<mi>W</mi>
<mi>p</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>z</mi>
<mi>p</mi>
</msub>
<mo>-</mo>
<mrow>
<mo>(</mo>
<msubsup>
<mi>x</mi>
<mi>p</mi>
<mn>2</mn>
</msubsup>
<mo>+</mo>
<msubsup>
<mi>y</mi>
<mi>p</mi>
<mn>2</mn>
</msubsup>
<mo>)</mo>
</mrow>
<mo>/</mo>
<mrow>
<mo>(</mo>
<mn>4</mn>
<mi>f</mi>
<mo>)</mo>
</mrow>
</mrow>
<mi>f</mi>
</mfrac>
</mrow>
Wherein, WpThe nondimensional number of p-th of node axial displacement is represented, subscript p represents numbering of the node in all nodes, xp、
yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
6b) on the basis of the nondimensional number of all node axial displacements is obtained, according to the following formula calculate node optical path difference direct ratio to
Amount：
<mrow>
<mi>B</mi>
<mo>=</mo>
<mfenced open = "{" close = "}">
<mtable>
<mtr>
<mtd>
<mrow>
<mo>-</mo>
<mn>2</mn>
<msub>
<mi>W</mi>
<mn>1</mn>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>-</mo>
<mn>2</mn>
<msub>
<mi>W</mi>
<mi>n</mi>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
</mrow>
Wherein, B is node optical path difference direct ratio vector, W1With WnThe 1st node axial position corresponding with n-th of node is represented respectively
The nondimensional number of shifting, subscript n represents all node total numbers.
6. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, the identical geometry battle array of calculate node specifically includes following steps in step (7)：
7a) on the basis of all node coordinates of umbrella antenna are obtained, the nondimensional number of all node coordinates is calculated according to the following formula：
<mrow>
<msub>
<mi>X</mi>
<mi>p</mi>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>x</mi>
<mi>p</mi>
</msub>
<mi>f</mi>
</mfrac>
<mo>,</mo>
<msub>
<mi>Y</mi>
<mi>p</mi>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>y</mi>
<mi>p</mi>
</msub>
<mi>f</mi>
</mfrac>
<mo>,</mo>
<msub>
<mi>Z</mi>
<mi>p</mi>
</msub>
<mo>=</mo>
<mfrac>
<msub>
<mi>z</mi>
<mi>p</mi>
</msub>
<mi>f</mi>
</mfrac>
</mrow>
Wherein, Xp、Yp、ZpNondimensional numbers of p-th of node x to, y to, z to coordinate is represented respectively, and subscript p represents node in institute
There are the numbering in node, xp、yp、zpP-th of node x is represented respectively to, y to, z to coordinate, and f is umbrella antenna focal length；
7b) on the basis of the nondimensional number of all node coordinates is obtained, calculate node is coincide geometry battle array according to the following formula：
<mrow>
<mi>V</mi>
<mo>=</mo>
<mfenced open = "{" close = "}">
<mtable>
<mtr>
<mtd>
<msub>
<mi>X</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<msub>
<mi>Y</mi>
<mn>1</mn>
</msub>
</mtd>
<mtd>
<mrow>
<mo>-</mo>
<mn>2</mn>
</mrow>
</mtd>
<mtd>
<mrow>
<mn>2</mn>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>-</mo>
<msub>
<mi>Y</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<msub>
<mi>X</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mn>1</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
<mtd>
<mo>.</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>X</mi>
<mi>n</mi>
</msub>
</mtd>
<mtd>
<msub>
<mi>Y</mi>
<mi>n</mi>
</msub>
</mtd>
<mtd>
<mrow>
<mo>-</mo>
<mn>2</mn>
</mrow>
</mtd>
<mtd>
<mrow>
<mn>2</mn>
<msub>
<mi>Z</mi>
<mi>n</mi>
</msub>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>-</mo>
<msub>
<mi>Y</mi>
<mi>n</mi>
</msub>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mi>n</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<msub>
<mi>X</mi>
<mi>n</mi>
</msub>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mi>n</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
</mrow>
Wherein, V represents the identical geometry battle array of node, X1、Y1、Z1Zero dimensions of the 1st node x to, y to, z to coordinate is represented respectively
Amount, Xn、Yn、ZnNondimensional numbers of n-th of node x to, y to, z to coordinate is represented respectively, and subscript n represents all node total numbers.
7. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, weighting matrix is calculated in step (8) and specifically includes following steps：
8a) on the basis of the nondimensional number of all node coordinates is obtained, the antenna aperture field amplitude distribution inputted with reference to user
Function, according to the following formula calculate node weighted factor：
<mrow>
<msub>
<mi>Q</mi>
<mi>p</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>q</mi>
<mi>p</mi>
</msub>
<mo>&CenterDot;</mo>
<msup>
<mi>f</mi>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mn>4</mn>
<msup>
<mrow>
<mo>(</mo>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>Z</mi>
<mi>p</mi>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
</mrow>
Wherein, QpThe weighted factor of p-th of node is represented, subscript p represents numbering of the node in all nodes, ZpRepresent p-th
Node z is to the nondimensional number of coordinate, qpRepresent that the aperture field amplitude distribution function inputted according to user calculates p-th obtained of section
The corresponding aperture field amplitude distribution value of point, f represents antenna focal length；
8b) on the basis of all node weighted factors are obtained, weighting matrix is calculated according to the following formula：
Q=diag ({ Q1,Q2,…,Qn})
Wherein, Q is weighting matrix, and diag () represents vector being converted to matrix operation, Q1、Q2、QnThe 1st, 2 and n are represented respectively
The corresponding weighted factor of node, subscript n represents all node total numbers.
8. the umbrella antenna Design of Structural parameters method as claimed in claim 1 based on optimal parameter of coincideing, its feature
It is, calculates most preferably identical parameter column vector in step (9) according to the following formula
H=(VTQV)-1VQB
Wherein, H represents parameter column vector of most preferably coincideing, and V represents the identical geometry battle array of node, and B represents node optical path difference direct ratio vector,
Q represents weighting matrix, and subscript T represents transposition computing, and subscript -1 represents inversion operation.
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| CN201710269838.4A CN107145650B (en) | 2017-04-24 | 2017-04-24 | Umbrella antenna Design of Structural parameters method based on best parameter of coincideing |
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| CN107145650B CN107145650B (en) | 2019-10-15 |
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