CN108900238A - A method of utilizing wavelet fascicle alternative point wave beam - Google Patents
A method of utilizing wavelet fascicle alternative point wave beam Download PDFInfo
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- CN108900238A CN108900238A CN201810646415.4A CN201810646415A CN108900238A CN 108900238 A CN108900238 A CN 108900238A CN 201810646415 A CN201810646415 A CN 201810646415A CN 108900238 A CN108900238 A CN 108900238A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/14—Relay systems
- H04B7/15—Active relay systems
- H04B7/185—Space-based or airborne stations; Stations for satellite systems
- H04B7/1851—Systems using a satellite or space-based relay
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
- H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
- H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
- H04B7/0617—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/14—Relay systems
- H04B7/15—Active relay systems
- H04B7/185—Space-based or airborne stations; Stations for satellite systems
- H04B7/1851—Systems using a satellite or space-based relay
- H04B7/18519—Operations control, administration or maintenance
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Abstract
A method of utilizing wavelet fascicle alternative point wave beam, it belongs to multi-beam studying technological domain in satellite communication system, when solving the communication condition for meeting edge existing for multi-beam satellite system, the peak gain of beam center is far beyond required gain, interfere difficulty increase, the waste of resource of elimination, the problem of higher central peak gain needs bigger antenna size, and cost of manufacture and satellite launch O&M cost is caused to improve.Substitute origin wave beam using the beamlet of multiple lower peak value gains, when substitution needs to meet geometrical constraint and gain constraint condition, and method of the invention effectively reduces the gain of central peak.Present invention could apply to multi-beam studying technological domains in satellite communication system to use.
Description
Technical field
The invention belongs to multi-beam studying technological domains in satellite communication system, and in particular to a kind of to be replaced using wavelet fascicle
For the method for spot beam.
Background technique
At the beginning of the development communication technologies till now, realize " 5W " target (i.e. anyone at any time, Anywhere with
Anyone carries out any type of communication) it is always the dream that several generations communicates people.In recent years, with the continuous hair of the communication technology
Exhibition, Global Subscriber also put forward new requirements communication system while enjoying efficient and convenient communication service.Due to ground
There are inherent shortcomings in area coverage for mobile cellular system, and the important function of satellite communication system is increasingly prominent in recent years.It defends
Star system wide coverage, it is easier to the seamless coverage for realizing global communications network, by GCS Ground Communication System and satellite communication system
System carries out with constructing star integral system, would be even more beneficial to realize communication Global coverage.
The wave beam of satellite communication system experienced from the extremely wide global beam of coverage area to more flexible accurately spot beam
Variation, the overlay area of current common multibeam satellite system is typically divided into many spot beams, these wave beams are relatively
It is small, there is superperformance in specific coverage.And since satellite system is Bandwidth-Constrained, wave beam is subdivided into
Smaller part simultaneously allows frequency reuse that will increase the whole volume of system.Current spot beam is usually by away from beam center peak value
The definition of the contour of gain 3 or 4dB.And often when edge meets communication condition, the peak gain of beam center can be far beyond
Required gain, this will increase the difficulty of interference elimination, will also result in the waste of resource.Meanwhile common parabola antenna gain
Square directly proportional to antenna aperture, peak antenna gain causes greatly array element quantity to increase, this will directly improve cost of manufacture and
Satellite launch O&M cost.
Summary of the invention
When the purpose of the present invention is to solve to meet the communication condition at edge existing for spot beam satellite communications system, wave beam
The peak gain at center can cause the waste of resource far beyond required gain, and higher central peak gain needs bigger day
Linear dimension and array element quantity, the problem of causing cost of manufacture and satellite launch O&M cost to improve.
The technical solution adopted by the present invention to solve the above technical problem is：
A method of using wavelet fascicle alternative point wave beam, this method the specific steps are：
Step 1: being split to frequency used in spot beam, and the frequency divided is distributed into each beamlet
Spot beam is substituted, the collection that each beamlet forms is collectively referred to as beamlet cluster；
The geometry constraint conditions for needing to meet when wavelet fascicle alternative point wave beam are utilized Step 2: calculating；
The gain constraint condition for needing to meet when wavelet fascicle alternative point wave beam is utilized Step 3: calculating；
Step 4: the gain constraint condition of geometry constraint conditions and step 3 to step 2 carries out combined calculation, obtain
The relative gain x of difference △ G of the beamlet of each beamlet and spot beam peak gain, beamletsIt is opposite with spot beam to increase
Beneficial xoQuantitative relationship between three amounts determines the beamlet of each substitution spot beam in conjunction with antenna model；Using determining
Beamlet substitute spot beam.
The beneficial effects of the invention are as follows：The present invention provides a kind of method using wavelet fascicle alternative point wave beam, this hairs
Bright method replaces original spot beam using multiple beamlets with lower peak value gain, at the same replacement need to meet it is several
What constraint condition and gain constraint condition, i.e., the overlay area that multiple beamlets are collectively formed wants just cover origin wave beam
Overlay area；And the edge gain of multiple spot beams will meet the edge gain requirement of origin wave beam；Meeting geometrical constraint
While condition and gain constraint condition, method of the invention effectively reduces the gain of central peak, can keep existing
On the basis of communication system performance, the waste of resource is avoided, while reducing antenna size and array element quantity, further reduces system
Make the O&M cost of cost and satellite launch, method of the invention can make array number amount reduce 50% or more.
The central peak gain of method of the invention to satellite communication system is reduced, avoids central peak gain is excessively high from causing
The problem of play the role of it is good.
Detailed description of the invention
Fig. 1 is a kind of flow chart of the method using wavelet fascicle alternative point wave beam of the present invention；
Fig. 2 is schematic diagram of the same layer of the present invention with frequency wave beam；
Fig. 3 is the schematic diagram of the invention that spot beam is substituted using beamlet；
Wherein：40 be the central peak gain of spot beam, and 36 be the edge gain of beamlet and spot beam, and 37 be each wavelet
The center gain of beam；
Fig. 4 is the schematic diagram of the geometry constraint conditions of the invention that spot beam is substituted using beamlet；
Fig. 5 is the schematic diagram of beamlet frequency allocation plan of the invention；
Fig. 6 is the schematic diagram of the co-channel interference in multibeam satellite system of the invention；
Fig. 7 is the replacement example schematic that wavelet fascicle size of the invention is 4；
Wherein：R is the covering radius of spot beam, and d is by the distance at investigation user distance spot beam center, and α is to be investigated
The angle of the line of centres and baseline of user and spot beam, baseline generally take x-axis direction；40.2 be the edge gain of beamlet,
40.9 be the center gain of beamlet；
Fig. 8 is the graph of relation of beamlet relative gain of the invention and gain reduction amounts；
Wherein：Xs, Ns=4 represent the relative gain of beamlet when cluster size is 4, and xo, Ns=4 represent cluster size when being 4
The relative gain of spot beam, xs, Ns=7 represent the relative gain of beamlet when cluster size is 7, xo, Ns=7 represent cluster size as
The relative gain of spot beam when 7；
Fig. 9 is the size of wavelet fascicle of the invention and the graph of relation of antenna array array element quantity；
Figure 10 is the comparison diagram of carrier/interface ratio at the center of different beamlet quantity under different frequency multiplexing factor；
Figure 11 is the comparison diagram of the interference value of different beamlet quantity under different frequency multiplexing factor；
Figure 12 is the carrier/interface ratio comparative situation of beamlet method of substitution and spot beam method of the invention；
In figure：What straight line represented is spot beam, and what curve represented is beamlet.
Specific embodiment
Further description of the technical solution of the present invention with reference to the accompanying drawing, and however, it is not limited to this, all to this
Inventive technique scheme is modified or replaced equivalently, and without departing from the spirit and scope of the technical solution of the present invention, should all be covered
Within the protection scope of the present invention.
Specific embodiment one：Illustrate present embodiment in conjunction with Fig. 1-3.It is a kind of described in present embodiment to utilize beamlet
Cluster substitute spot beam method, this method the specific steps are：
Step 1: being split to frequency used in spot beam, and the frequency divided is distributed into each beamlet
Spot beam is substituted, the collection that each beamlet forms is collectively referred to as beamlet cluster；
The geometry constraint conditions for needing to meet when wavelet fascicle alternative point wave beam are utilized Step 2: calculating；
The gain constraint condition for needing to meet when wavelet fascicle alternative point wave beam is utilized Step 3: calculating；
Step 4: the gain constraint condition of geometry constraint conditions and step 3 to step 2 carries out combined calculation, obtain
The relative gain x of difference △ G of the beamlet of each beamlet and spot beam peak gain, beamletsIt is opposite with spot beam to increase
Beneficial xoQuantitative relationship between three amounts determines the beamlet of each substitution spot beam in conjunction with antenna model；Using determining
Beamlet substitute spot beam.
Same layer is illustrated in figure 2 with the schematic diagram of frequency wave beam；We illustrate replace a spot beam with multiple beamlets
Beamlet dividing method, so-called beamlet is area coverage several wave beams more smaller than spot beam, they are according to certain
Aligned transfer gets up, and the overlay area of origin wave beam is completely covered, and thus completes replacement, as shown in Figure 3；Wherein 40 give directions wave beam
Central peak gain, 36 give directions wave beams edge gain；37 refer to the central peak gain of beamlet, and 36 refer to the edge of beamlet
Gain, the i.e. edge gain of beamlet meet the edge gain requirement of spot beam；Spot beam is replaced with four beamlets, at this time
Ns=4, the edge gain requirement for 36dB observes that compared with spot beam method (36-40dB), beamlet method is covered wave beam
Gain profiles more evenly are provided in cover area (36-37dB).In order to meet the continuity requirement of covering, beamlet is in spot beam
Boundary intersection.
Specific embodiment two：Present embodiment utilizes wavelet fascicle alternative point wave beam to a kind of described in embodiment one
Method further limited, in the step 1：
Definition substitution spot beam wavelet fascicle be：If NsThe continuous coverage area of a identical wave beam and covering for spot beam
Lid range is identical, then this NsA identical wave beam forms wavelet fascicle, and each wave beam in wavelet fascicle is known as beamlet；Point wave
The band resource of beam is by NsA identical beamlet is shared.
The portfolio of spot beam in present embodiment can distribute to each beamlet according to actual needs, and not necessarily
All be averagely allocated to each beamlet, but for the determination method of each beamlet, with determination method of the invention
It is identical.
In wavelet fascicle, the frequency of each spot beam shares the beamlet in quilt clusters of beams.Fig. 5 illustrates wavelet
The concept of beam, wherein hexagon corresponds to the spot beam in satellite coverage area, and the digital representation at the center of each hexagon is every
The frequency band that a beam allocation arrives.The spot beam frequency allocation plan that frequency duplex factor as one is 7 is depicted in figure, includes seven six sides
The great circle of shape indicates a spot beam cluster.Here we replace the center spot beam of each cluster wavelet fascicle, beamlet
The size of cluster is 4.
Specific embodiment three：Present embodiment utilizes wavelet fascicle alternative point wave beam to a kind of described in embodiment two
Method further limited, the detailed process of the step 2 in present embodiment is：
It is using the geometry constraint conditions that wavelet fascicle alternative point wave beam needs meet：Utilize wavelet fascicle alternative point wave beam
When, the overlay area that the overlay area of spot beam needs quilt clusters of beams to be formed completely covers；
After beamlet number in group clusters of beams determines, the beam angle ratio of each beamlet and spot beamIt is true
Definite value, each beamlet is with the beam angle of spot beam than equal.
In order to enable entire coverage area is still all covered without generating more serious interference, not producing after replacement
The raw wasting of resources, also requires the distribution pattern of beamlet.It is required that wave can be uniquely determined according to different distribution patterns
Beam width relationship, which forms the geometry constraint conditions to beamlet segmentation replacement, as shown in Figure 4；When clusters of beams neutron deficiency
When the number of beam is 1, the beam angle of beamlet and the beam angle of spot beam are equal, when the number of clusters of beams neutron wave beam is
When 3, the beam angle of beamlet and the beam angle of spot beam are equal, when the number of clusters of beams neutron wave beam is 4, beamlet
Beam angle equal to 0.707 times of spot beam beam angle, when the number of clusters of beams neutron wave beam is 7, beamlet
Beam angle is equal to the half of the beam angle of spot beam.
The circle of dotted line indicates that (original) spot beam, the circle of solid line indicate beamlet in Fig. 4, and wavelet fascicle is by using most
The smaller beamlet of amount generates equivalent covering, and common size is 1,3,4 and 7.We arrange this geometry constraint conditions
In table 1.According to Fig. 3 and table 1, we are learnt：The number of wavelet fascicle neutron deficiency beam is bigger, gained cluster closer to spot beam,
The overlapping area of the beamlet of different clusters can be reduced simultaneously.In addition, the number of wavelet fascicle neutron deficiency beam is bigger, to beamlet
Edge gain requires to further decrease.0.707 is equal to
Beam angle relationship under the different cluster sizes of table 1
Specific embodiment four：Present embodiment utilizes wavelet fascicle alternative point wave beam to a kind of described in embodiment three
Method further limited, the detailed process of the step three in present embodiment is：
It is using the gain constraint condition that wavelet fascicle alternative point wave beam need to meet：When wavelet fascicle alternative point wave beam, need
It is consistent with the former covering edge gain of spot beam to meet the new covering edge that wavelet fascicle is collectively formed, i.e., in wavelet fascicle
The peak gain of each beamlet and the difference of relative gain are equal to the peak gain of spot beam and the difference of relative gain：
Go-xo=Gs-xs (1)
Wherein：GoFor the peak gain of spot beam, GsFor the peak gain of each beamlet；xoOpposite for spot beam increases
Benefit, xsFor the relative gain of each beamlet.
When carrying out Communication System Design, beam gain is often that edge is limited, therefore, spot beam is being substituted for son
When wave beam, the edge gain for keeping origin wave beam is needed to remain unchanged, this just gives the segmentation of beamlet to replace and is provided with gain about
Beam condition.
Specific embodiment five：Present embodiment utilizes wavelet fascicle alternative point wave beam to a kind of described in embodiment four
Method further limited, the detailed process of the step four in present embodiment is：
The difference △ G of the peak gain of each beamlet and spot beam is：
△ G=G0-Gs=xo-xs (2)
According to the gain relationship between beam size and relative gain：
Wherein：θ3Be △ G be 3dB when beam angle, θxBe △ G be xdB when beam angle, x is relative gain；
By the relative gain x of spot beamoWith the relative gain x of each beamletsIt brings formula (3) into, obtains
Wherein：θoFor the beam angle of spot beam, θsFor the beam angle of beamlet；θ3oIt is the relative gain x of spot beamo
Beam angle, θ when for 3dB3sIt is the relative gain x of beamletsBeam angle when for 3dB；
The directivity function formula of antenna is：
Wherein, M and N is the antenna array array element quantity with y-axis direction along the x-axis direction；M is the m of antenna array along the x-axis direction
Row array element, n are the n-th array member of antenna array along the y-axis direction；F is the directivity function formula of antenna；ImnFor m in antenna array
The voltage for the array element that row n-th arranges；dxIt is array element spacing along the x-axis direction, dyIt is array element spacing along the y-axis direction；For measured position
Set with x-axis direction angle, k be antenna array free space phase-shift constant, k=2 π/λ, λ are free space wavelength；βmFor antenna
The leading phase angle of the x-axis direction of battle array；βnFor the leading phase angle in the y-axis direction of antenna array, and βmAnd βnIt is all constant；J is imaginary number
Unit；θ is the angle in the array element that m row n-th arranges and z-axis direction；
According to the directivity function formula of antenna, simultaneous formula (4) and (5) are obtained：
Bring formula (2) into formula (7)：
By △ G, xsAnd xoIn conjunction with antenna model, and the number of the beamlet in group clusters of beams is when determining value, to be replaced
For spot beam each beamlet to get arrive wavelet fascicle；And utilize wavelet fascicle alternative point wave beam.
Present embodiment is using the geometric center of antenna array as origin, and plane is the face xoy where antenna array, forms a right hand
System, x-axis, y-axis and z-axis are three reference axis of the coordinate system.
Specific embodiment six：Present embodiment utilizes wavelet fascicle alternative point wave beam to a kind of described in embodiment five
Method further limited, the antenna model in the step four in present embodiment be 40 × 40 spaceborne flat plane antenna
Battle array.
Embodiment
Simulation parameter setting is as follows in simulation process：Carrier frequency is 1.9GHz, and band satellite antenna is GEO multi-beam satellite
Antenna array, satellite antenna battle array are 40 × 40 square matrixes, and peak gain 42dB, satellite altitude 35786km, spot beam width is
1.8dB, ground point number of beams 160.
Simulated environment is：matlab R2015a
Simulation result diagram 8- Figure 12, Fig. 8 illustrate the relationship between gain reduction amounts and relative gain and cluster size, from figure
In can be clearly seen, in cluster size and the timing of gain reduction amounts one, spot beam relative gain and beamlet relative gain are also
It uniquely determines.
Fig. 9 illustrates the relationship of antenna array array element total amount Yu wavelet fascicle size (number of wavelet fascicle neutron deficiency beam).
By taking 28 × 28 antenna array as an example, when not taking segmentation, 784 array elements are needed to meet the peak gain requirement of 34.4dB；
When using NsWhen=3 beamlet, since the requirement to peak gain has dropped 3dB, 20 × 20 are only needed, i.e. 400 array elements are
Communication requirement can be met.The requirement to peak gain is further decreased it can be found that even if still needing to when wavelet fascicle size is 19
Using 289 array elements, it is found that when group clusters of beams size is 7,324 array elements used by system have approached the limit, this
When the complexity of system is required and the composite request of array element quantity is minimum.It can make array number by means of the present invention
Amount reduces 50% or more, therefore, cost of manufacture and O&M cost will be effectively reduced.
Figure 10 and Figure 11 is illustrated in the case where different frequency duplex factor as one, does not use beamlet Shift Method, wavelet
It is always interfered at carrier/interface ratio and center at center when fascicle size is respectively 4 and 7.It can be observed that beamlet split plot design might not
The promotion of carrier/interface ratio can be brought, results even in the reduction of carrier/interface ratio in some cases.This is because reducing peak value increasing
Caused by benefit causes carrier power to decline, however this decline can't seriously affect system performance.Figure 11 is illustrated in detail always
The case where interference, under identical frequency duplex factor as one, it can be seen that beamlet split plot design can't generate excessive shadow to interference
It rings.It should be noted that since Antenna Array Pattern has two vertical symmetry axis, and every layer of co-frequency cell has 6 or 12,
When co-frequency cell, which is distributed, to be rotated integrally, it will result is made to generate fluctuation.
(frequency duplex factor as one 4, when wavelet fascicle size is 4) is observed that from Figure 12, for spot beam,
Angle change not will cause the too big of carrier/interface ratio, and with the increase with beam center distance, carrier/interface ratio is also gradually reduced, this is just
It is because the antenna gain in a small range spot beam uniformly declines in all directions.And for beamlet method, due to gain point
Cloth is simultaneously uneven, and test point carrier/interface ratio when gradually mobile to cell edge will not decline always, but first increase and reduce afterwards,
Most it is worth and substantially takes the position of 0.7-0.8 to occur in d/R, this also meets geometrically θsThe relationship of=0.707 θ o.Benchmark herein
During line selection takes, four gain extreme points are present in π/4,3 π/4,5 π/4,5 π/4, and therefore, carrier/interface ratio when α=π/4 is compared more
It is high.
It is also noted that in edge since the antenna gain of beamlet is higher, so spot beam is divided into beamlet
Significant advantage is shown in beam edge region afterwards, and this is often the place that spot beam performance cannot be taken into account.And due to
Spot beam central peak gain is higher, relatively more preferable in the performance of beam center.In general, system is to carrier/interface ratio at beam center
Often nargin with higher, thus beamlet method not will cause serious consequence in the decline of beam center.In order to mitigate center
Locate the relatively poor influence of performance, can be advanced optimized with antithetical phrase beam antenna, also can change frequency distribution when necessary.
In general, beamlet split plot design has some superiority, because carrier/interface ratio variation is not obvious compared with spot beam method, and
Peak gain is lower, can greatly reduce antenna aperture.
The brought advantage of beamlet Shift Method, which also may be embodied in, to be reduced on antenna array array element number.Since beamlet is replaced
The method of changing reduces the requirement to center peak gain, and antenna array array element can also reach required gain requirement with less number.
By obtaining the relative gain of beamlet, beamlet peak gain is thus calculated, then acquisition can be finally inversed by by peak gain
The array element quantity of the antenna array of this peak gain.It should be noted that the decline of peak gain is using edge gain as boundary
, it means that the reduction of antenna array array element is also bounded.Array element number brought by bigger wavelet fascicle reduce and its
Caused by algorithm complexity promoted and need to obtain suitable array element sum after weighing, to obtain preferred plan.
The system interference after beamlet Shift Method is implemented in analysis, to determine the exploitativeness of beamlet Shift Method：
Beamlet Shift Method can bring several benefits, but due to the introducing of more beamlets, be likely to result in higher
Co-channel interference.Fig. 6 shows the simplification figure of the co-channel interference in uplink and downlink.Dl interference is mainly
As same frequency wave beam secondary lobe in power caused by the interference that is received in earth station receiver, major influence factors are frequency
Rate multiplexing factor and homogenous frequency signal general power.Uplink carrier interference is than then depending on frequency duplex factor as one and being disturbed wave
The quantity of the same frequency user sent and received simultaneously at the secondary lobe of beam.Pay close attention to dl interference, the scheme investigated
It is 3,4 and 7 including frequency duplex factor as one, nine kinds of situations that wavelet fascicle size is 3,4 and 7 are investigated, wherein every kind of frequency
The wave beam quilt clusters of beams of frequency of use F1 in multiplexing scheme is replaced, calculate frequency of use F11 central beam by
Co-channel interference.
The disturbed condition of beamlet Shift Method rear center wave beam is implemented in analysis：
In order to preferably study the performance of beamlet, our interference feelings by further research in central beam everywhere
Condition.As shown in fig. 7, the spot beam beamlet that four solid line circles indicate that dashed centre line circle indicates is replaced, spot beam peak value
Gain is 42dB, and edge gain 40.2dB, the peak gain of beamlet is 40.9dB, edge gain 40.2dB.Aforementioned point
The contour of the Antenna Array Pattern of conclusion 40 × 40 obtained in analysis have orthogonal symmetry axis, antenna gain with
There is oscillation on the circumference of beam center.Therefore in analysis center's spot-beam interference situation, except consideration is by investigation user distance
It outside the distance d at spot beam center, also introduces and carries out discrete calculation with the angle α of reference line, to improve the accuracy of analysis.
Realize that main program of the invention mainly includes：
(1) performance when comparing using spot beam and beamlet
(2) function 1：Calculate spot beam carrier power
(3) function 2：Calculate beamlet carrier power
(4) △ G, x are calculatedsAnd xoRelation curve
clear all；
clc；
Delta_G=[0.2:0.2:5]；
Theta_ratio=[0.707,0.5]；
Temp_4=(20*log10 (theta_ratio (1))-delta_G)/9.612；
Xs_4=(10.^ (temp_4)/(1-10.^ (temp_4))) .*delta_G；
Xo_4=xs_4+delta_G；
Temp_7=(20*log10 (theta_ratio (2))-delta_G)/9.612；
Xs_7=(10.^ (temp_7)/(1-10.^ (temp_7))) .*delta_G；
Xo_7=xs_7+delta_G；
plot(delta_G,xs_4,'b--p',delta_G,xo_4,'b-p',delta_G,xs_7,'r--v',
delta_G,xo_7,'r-v','LineWidth',1.2)；
Legend (' xs, Ns=4', ' xo, Ns=4', ' xs, Ns=7', ' xo, Ns=7')；
xlabel('delta_G(Go-Gs)')；
set(gca,'position',[0.1,0.3,0.8,0.6])；
grid on
set(gca,'XMinorGrid','on')；
(5) performance when spot beam and beamlet is used at Correlation Centre wave beam
(6) function 1：Spot beam is calculated always to interfere
(7) function 2：It calculates beamlet always to interfere, cluster size takes 4
(8) function 3：It calculates beamlet always to interfere, cluster size takes 7
Claims (6)
1. a kind of method using wavelet fascicle alternative point wave beam, which is characterized in that described to utilize wavelet fascicle alternative point wave beam
Method through the following steps that realize：
Step 1: being split to frequency used in spot beam, and the frequency divided is distributed into each beamlet to replace
For spot beam, the collection that each beamlet forms is collectively referred to as beamlet cluster；
The geometry constraint conditions for needing to meet when wavelet fascicle alternative point wave beam are utilized Step 2: calculating；
The gain constraint condition for needing to meet when wavelet fascicle alternative point wave beam is utilized Step 3: calculating；
Step 4: the gain constraint condition of geometry constraint conditions and step 3 to step 2 carries out combined calculation, obtain each
The relative gain x of difference △ G of the beamlet of beamlet and spot beam peak gain, beamletsWith the relative gain x of spot beamoThree
Quantitative relationship between a amount determines the beamlet of each substitution spot beam in conjunction with antenna model；Utilize the wavelet determined
Beam substitutes spot beam.
2. the method according to claim 1 using wavelet fascicle alternative point wave beam, which is characterized in that in step 1：
Definition substitution spot beam wavelet fascicle be：If NsThe continuous coverage area of a identical wave beam and the covering model of spot beam
Enclose identical, then this NsA identical wave beam forms wavelet fascicle, and each wave beam in wavelet fascicle is known as beamlet；Spot beam
Band resource is by NsA identical beamlet is shared.
3. the method according to claim 2 using wavelet fascicle alternative point wave beam, which is characterized in that the step 2
Detailed process is：
It is using the geometry constraint conditions that wavelet fascicle alternative point wave beam needs meet：When using wavelet fascicle alternative point wave beam,
The overlay area that the overlay area of spot beam needs quilt clusters of beams to be formed completely covers；
After beamlet number in group clusters of beams determines, the beam angle ratio of each beamlet and spot beamTo determine value,
Each beamlet is with the beam angle of spot beam than equal.
4. the method according to claim 3 using wavelet fascicle alternative point wave beam, which is characterized in that the step 3
Detailed process is：
It is using the gain constraint condition that wavelet fascicle alternative point wave beam need to meet：When wavelet fascicle alternative point wave beam, need full
The new covering edge that sufficient wavelet fascicle is collectively formed is consistent with the former covering edge gain of spot beam, i.e., each in wavelet fascicle
The peak gain of beamlet and the difference of relative gain are equal to the peak gain of spot beam and the difference of relative gain：
Go-xo=Gs-xs (1)
Wherein：GoFor the peak gain of spot beam, GsFor the peak gain of each beamlet；xoFor the relative gain of spot beam, xs
For the relative gain of each beamlet.
5. the method according to claim 4 using wavelet fascicle alternative point wave beam, which is characterized in that the step 4
Detailed process is：
The difference △ G of the peak gain of each beamlet and spot beam is：
△ G=G0-Gs=xo-xs (2)
According to the gain relationship between beam size and relative gain：
Wherein：θ3Be △ G be 3dB when beam angle, θxBe △ G be xdB when beam angle, x is relative gain；
By the relative gain x of spot beamoWith the relative gain x of each beamletsIt brings formula (3) into, obtains
Wherein：θoFor the beam angle of spot beam, θsFor the beam angle of beamlet；θ3oIt is the relative gain x of spot beamoFor 3dB
When beam angle, θ3sIt is the relative gain x of beamletsBeam angle when for 3dB；
The directivity function formula of antenna is：
Wherein, M and N is the antenna array array element quantity with y-axis direction along the x-axis direction；M is the m row battle array of antenna array along the x-axis direction
Member, n are the n-th array member of antenna array along the y-axis direction；F is the directivity function formula of antenna；ImnFor m row n-th in antenna array
The voltage of the array element of column；dxIt is array element spacing along the x-axis direction, dyIt is array element spacing along the y-axis direction；For measured position and x
Axis direction angle, k are the free space phase-shift constant of antenna array, and k=2 π/λ, λ are free space wavelength；βmFor the x of antenna array
The leading phase angle of axis direction；βnFor the leading phase angle in the y-axis direction of antenna array, and βmAnd βnIt is all constant；J is the unit of imaginary number；
θ is the angle in the array element that m row n-th arranges and z-axis direction；
According to the directivity function formula of antenna, simultaneous formula (4) and (5) are obtained：
Bring formula (2) into formula (7)：
By △ G, xsAnd xoIn conjunction with antenna model, and the number of the beamlet in group clusters of beams is when determining value, to obtain alternative point
Each beamlet of wave beam to get arrive wavelet fascicle；And utilize wavelet fascicle alternative point wave beam.
6. the method according to claim 5 using wavelet fascicle alternative point wave beam, which is characterized in that in the step 4
Antenna model be 40 × 40 spaceborne planar array antenna.
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