CN108882245A - A kind of GEO and LEO cognition satellite network and its dynamic frequency allocation method - Google Patents
A kind of GEO and LEO cognition satellite network and its dynamic frequency allocation method Download PDFInfo
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Abstract
The present invention discloses a kind of GEO and LEO cognition satellite network and its dynamic frequency allocation method, can be realized efficient frequency spectrum share, takes into account the performance of primary user and time user.The GEO and LEO cognition satellite network includes at least 1 GEO satellite and at least 1 LEO satellite as time user as primary user;The GEO satellite uses multibeam antenna, using seven color channelings;The LEO satellite uses multibeam antenna, and using channeling, frequency duplex factor as one is less than seven;The downlink shared same frequency range of the GEO satellite and LEO satellite, provides broadband fixed service for user;The wave cover area of the GEO satellite is 10 times or more of the wave cover area of LEO satellite, LEO wave beam in GEO wave beam uses other any frequencies except this GEO wave beam, the space division channeling of LEO multi-beam is carried out, frequency duplex factor as one is less than the frequency duplex factor as one of GEO.
Description
Technical field
The invention belongs to satellite network technical field, especially a kind of GEO and LEO cognition satellite network and its dynamic are frequently
Rate distribution method.
Background technique
With being substantially improved for mankind's space exploration range, more and more artificial satellites and aircraft are arranged to too
Sky, thus bring frequency resource problem in short supply becomes increasingly conspicuous, and traditional, static, single frequency distributing mode is difficult to
Meet growing demand for services.Dynamic spectrum-sharing techniques are found available frequency spectrum resource for satellite system and are provided
Thinking, and maintain its efficient, reliable, stable operation guarantee.
1999, " father of software radio " Joseph Mitola was put forward for the first time the concept of cognitive radio, cognition
The most typical application of radio technology is exactly frequency spectrum share, for alleviate that frequency spectrum resource is nervous and practical efficiency it is low between
Contradiction provides effective solution approach.Although existing research is concentrated mainly on ground system, with satellite network and ground
The continuous improvement of network integration degree and resource-sharing level, for the frequency spectrum share between satellite system also in further investigation.
Cognition satellite network mixes cognition network and double satellite cognition networks in which generally can be divided into star.It mixes to its culminant star and recognizes
Hownet network refers to realizes frequency spectrum share between satellite and ground system.Double satellite cognition networks refer to two satellite systems altogether
The same area of coverage is serviced with a frequency.At present for double stationary orbits (Geostationary Earth Orbit,
GEO) research of satellite system is more.For low orbit (Low Earth Orbit, LEO) satellite, since it is high with respect to ground
Speed is mobile so that the interference between satellite system with node sky when behavior and change, especially when GEO satellite, LEO satellite and
Earth station three is conllinear, can generate serious total view interference, even paralyse so that the transmission performance of system sharply declines.
The existing total view interference between reply GEO and LEO satellite system, OneWeb satellite system introduces a kind of new
" progressive inclination " technology, avoided when satellite is close to equator by gradually tilting satellite dry between GEO system
It disturbs.However, the adjustment attitude of satellite needs to consume fuel, the shortening of satellite life-span in-orbit can be caused.Sharma S K proposes one
Kind optimal energy allocation (Adaptive Power Control, APC) technology, by secondary user (Secondary
User, SU) self adaptive control of transmission power guarantees the normal work of primary user (Primary User, PU), to realize
Frequency spectrum share between GEO and LEO satellite.But common technology when as satellite system frequency spectrum share, using APC
When, it for the normal work for ensuring PU, needs to sacrifice the performance of SU, will cause the decline of SU spectrum efficiency.
Therefore, problem of the existing technology is:It is primary in guarantee in GEO and LEO satellite network when frequency spectrum share
When family works normally, the performance of secondary user is difficult to be effectively ensured.
Summary of the invention
The purpose of the present invention is to provide a kind of GEO and LEO to recognize satellite network, can be in GEO and LEO satellite network
It is middle to realize efficient frequency spectrum share, the performance of time user is effectively improved while protecting primary user.
The purpose of the present invention is to provide a kind of dynamic frequency allocation methods of GEO and LEO cognition satellite network, with reality
The high frequency spectrum share of existing satellite network, effectively improves the performance of time user while protecting primary user.
The technical solution for realizing the aim of the invention is as follows:
A kind of GEO and LEO cognition satellite network, it is characterised in that:
GEO satellite and at least 1 LEO satellite as time user including at least 1 as primary user;
The GEO satellite uses multibeam antenna, using seven color channelings;
The LEO satellite uses multibeam antenna, and using channeling, frequency duplex factor as one is less than seven;
The downlink shared same frequency range of the GEO satellite and LEO satellite, provides broadband fixed service for user;
The wave cover area of the GEO satellite is 10 times or more of the wave cover area of LEO satellite, is located at GEO wave
LEO wave beam in beam uses other any frequencies except this GEO wave beam, carries out the space division channeling of LEO multi-beam, frequency
Rate multiplexing factor is less than the frequency duplex factor as one of GEO.
The technical solution for realizing another object of the present invention is:
A kind of dynamic frequency allocation method recognizing satellite network, includes the following steps:
(10) building interference analysis model:According to signal quality and antenna radiation pattern function and signal link and interference chain
The connection between angle in road between multiple sending and receiving ends, building interference analysis model;
(20) building is the same as frequency beam isolation region:During satellite motion, by satellite and user's geometrical relationship
Analysis, obtains the worst signal quality of the GEO and LEO user under different beams distance condition, according to demand on signal quality, really
Determine isolation distance, constructs area of isolation;
(30) wave beam distance obtains:Coordinate of the satellite in ECEF coordinate system is calculated by satellite ephemeris, further according to wave
Shu Zhixiang obtains the coordinate of beam center point, finally obtains the distance between two wave beams;
(40) frequency dynamic is distributed:In LEO satellite operational process, when any wave beam of LEO satellite will enter with frequency
When the area of isolation of GEO wave beam, realize that the spectrum efficient of two systems is shared with dynamic frequency allocation algorithm.
Compared with prior art, the present invention its remarkable advantage:
1, the utilization efficiency of frequency is improved:Frequency is only allocated to primary user's use originally, by using based on frequency
The spectrum-sharing techniques that rate dynamically distributes, secondary user can also use the frequency, frequency bandwidth under the same conditions, increase
The capacity of whole network is added.
2, the performance of secondary user is guaranteed:Common optimal energy allocation technology phase when with satellite system frequency spectrum share
Than the performance of time user can be effectively improved while protecting primary user.
3, the switching frequency of beam frequencies is effectively reduced during satellite motion:The wave beam of LEO satellite is multiple according to seven colors
Pattern carries out sub-clustering, in LEO satellite operational process, only to the clusters of beams caused where the LEO wave beam of frequency conflicts into
Line frequency is redistributed, rather than is carried out frequency to all LEO wave beams and redistributed.
Present invention is further described in detail with reference to the accompanying drawings and detailed description.
Detailed description of the invention
Fig. 1 is GEO and LEO the cognition satellite network structural schematic diagram the present invention is based on frequency dynamic distribution.
Fig. 2 is the main flow chart of the dynamic frequency allocation method of present invention cognition satellite network.
Fig. 3 is the user location that GEO subscriber signal quality is worst in LEO satellite operational process.
Fig. 4 is the user location that LEO subscriber signal quality is worst in LEO satellite operational process.
Fig. 5 is the relationship between the signal quality of GEO and LEO user and GEO and LEO wave beam distance.
Fig. 6 is area of isolation schematic diagram of the present invention.
Fig. 7 is the schematic diagram that LEO wave beam is carried out sub-clustering by the pattern that seven colors are multiplexed.
Fig. 8 is GEO subscriber signal quality versus's simulation result diagram of the method for the present invention and adaptive power control method.
Fig. 9 is LEO subscriber signal quality versus's simulation result diagram of the method for the present invention and adaptive power control method.
Table 1 is GEO and LEO satellite system parameter.
Table 2 is the ephemeris of GEO and LEO satellite emulation initial time.
Table 3 is satellite cognition network simulation parameter.
Specific embodiment
As shown in Figure 1, GEO of the present invention and LEO recognizes satellite network, the GEO satellite including at least 1 as primary user
At least 1 LEO satellite as time user;
The GEO satellite uses multibeam antenna, using seven color channelings;
The LEO satellite uses multibeam antenna, and using channeling, frequency duplex factor as one is less than seven;
The downlink shared same frequency range of the GEO satellite and LEO satellite, provides broadband fixed service for user;
The wave cover area of the GEO satellite is 10 times or more of the wave cover area of LEO satellite, is located at GEO wave
LEO wave beam in beam uses other any frequencies except this GEO wave beam, carries out the space division channeling of LEO multi-beam, frequency
Rate multiplexing factor is less than the frequency duplex factor as one of GEO.
The gateway station of the GEO satellite and LEO satellite is interconnected by ground network, and real-time exchange satellite ephemeris, frequency are matched
Set scheme, antenna radiation pattern information.
The LEO wave beam carries out sub-clustering according to the pattern that seven colors are multiplexed, in LEO satellite operational process, according to gateway station
Shared information, at the time of predicting LEO wave beam close to GEO with frequency wave beam, in advance to where the LEO wave beam for causing frequency conflicts
Entire cluster carry out frequency redistribute.
The frequency belongs to Ku frequency range or Ka frequency range.
Two satellite systems all use multi-beam payload, and the utilization of frequency spectrum resource is improved with the spatial reuse of frequency
Rate.The frequency duplex factor as one of GEO satellite is that the frequency of each GEO wave beam in 7, Fig. 1 is different.The letter of two satellite systems
It closes station to be connected by high-speed lossless optical fiber, Real-Time Sharing satellite ephemeris, frequency configuration scheme and antenna radiation pattern.
The wave cover area of GEO satellite is 10 times or more of the wave cover area of LEO satellite, is located in GEO wave beam
LEO wave beam use other any frequencies except this GEO wave beam, carry out the space division channeling of LEO multi-beam, frequency is multiple
It is less than the frequency duplex factor as one of GEO with the factor.In LEO satellite motion process, when the same frequency wave beam of GEO and LEO satellite apart
When relatively close or overlapping, information is exchanged by the gateway station of interconnection to predict when where can interfere, will be more than in interference
When thresholding, the frequency of wave beam is adjusted to avoid interfering.
As shown in Fig. 2, the present invention recognizes the dynamic frequency allocation method of satellite network, include the following steps:
(10) building interference analysis model:According to signal quality and antenna radiation pattern function and signal link and interference chain
The connection between angle in road between multiple sending and receiving ends, building interference analysis model;
Described (10) construct interference analysis model step:
(11) signal quality:With the ratio between signal power and interference plus noise power (Signal to Interference
Plus Noise Ratio, SINR) index as signal quality, signal quality is calculated as follows,
Wherein, P indicates transmission power, GTIndicate the gain of transmitting antenna, GRIndicate the gain of receiving antenna, L is indicated certainly
It is lost by spatial, TnIndicate the equivalent noise temperature of receiver, B indicates transponder bandwidth, and k is Boltzmann constant.Under
D in mark indicates that the variable in signal link, I indicate the variable in interfering link.
(12) free-space propagation is lost:Free-space propagation loss is calculated as follows,
Wherein, f is frequency, and d indicates the distance between transmitting-receiving both-end, and c is the light velocity.
(13) antenna gain:Antenna gain is calculated as follows,
Wherein, J1It is first-order bessel function, θ indicates the angle between link direction and antenna main lobe axis, G0Indicate θ=0
When maximum antenna gain,
Wherein, D is antenna aperture, and η is antenna efficiency.
(20) building is the same as frequency beam isolation region:During satellite motion, by satellite and user's geometrical relationship
Analysis, obtains the worst signal quality of the GEO and LEO user under different beams distance condition, according to demand on signal quality, really
Determine isolation distance, constructs area of isolation;
Described (20) are constructed with frequency beam isolation region step:
(21) by following various angles and distance calculated under GEO subscriber signal quality worst condition:
As l > r (0.5 θL, 3dB-arcsin((r+hL)sin(0.5θL, 3dB)/(r+hG))) when,
θT, D=0.5 θL, 3dB
dD=rsin (arcsin ((r+hL)sinθT, D/r)+θT, D)/sinθT, D
θT, I=arcsin (rsin (l/r- π+θT, D+arcsin((r+hG)sinθT, D/r))/dI)
θR, I=l/r+ θT, I-θT, D
θR, D=0
As l≤r (0.5 θL, 3dB-arcsin((r+hL)sin(0.5θL, 3dB)/(r+hG))) when,
θT, D=arcsin ((r+hG)sinθT, I/(r+hL))
dD=rsin (arcsin ((r+hL)sinθT, D/r)+θT, D)/sinθT, D
θR, D=θR, I=0
(22) by following various angles and distance calculated under LEO subscriber signal quality worst condition:
As l > r (0.5 θL, 3dB-arcsin((r+hL)sin(0.5θL, 3dB)/(r+hG))) when,
θT, D=0.5 θL, 3dB
dD=rsin (arcsin ((r+hL)sinθT, D/r)+θT, D)/sinθT, D
θT, I=arcsin (rsin (l/r- π+θT, D+arcsin((r+hG)sinθT, D/r))/dI)
θR, I=l/r+ θT, I-θT, D
θR, D=0
As l≤r (0.5 θL, 3dB-arcsin((r+hL)sin(0.5θL, 3dB)/(r+hG))) when,
θT, D=arcsin ((r+hG)sinθT, I/(r+hL))
dD=rsin (arcsin ((r+hL)sinθT, D/r)+θT, D)/sinθT, D
θR, D=θR, I=0
In formula, hGAnd hLThe orbit altitude of GEO and LEO satellite is respectively indicated, r indicates earth radius, θG, 3dBIndicate GEO
The 3dB beam angle of satellite, θL, 3dBIndicate that the 3dB beam angle of LEO satellite, l indicate between the beam center point of GEO and LEO
Distance.Angle of the θ between link direction and antenna main lobe axis, d are the distance between sending and receiving end, T and R points in subscript
Not Biao Shi variable relevant to transmitting terminal and receiving end, D and I respectively indicate the variable in signal link and interfering link.
(23) according to the angle and distance, the worst feelings of LEO subscriber signal quality under GEO subscriber signal quality worst condition
Angle and distance under condition substitute into interference analysis model, be calculated SINR and GEO and the LEO wave beam of GEO and LEO user away from
Relationship between determines the minimum GEO and LEO wave distance between clusters for meeting thresholding according to desired minimum user SINR thresholding
For isolation distance, using GEO beam center point as the center of circle, isolation distance is the circle of radius as area of isolation.
Fig. 3 and Fig. 4 is respectively the worst user location of GEO and LEO subscriber signal quality.Wherein, solid line representation signal chain
Road, dotted line represent interfering link.In Fig. 3, when LEO satellite farther out from GEO satellite when, if GEO user is located at GEO wave beam
Edge, signal link is most weak at this time, and interfering link is most strong, then the quality of user's reception signal is worst;When LEO satellite enters GEO
After wave beam, it is contemplated that the intensity of signal link is almost unchanged in beam area, if GEO user is located at GEO and LEO satellite
On the extended line of line, interfering link is most strong at this time, therefore the quality of user's reception signal is worst.
GEO and LEO satellite system parameter and orbit parameter difference it is as shown in Table 1 and Table 2, through being calculated GEO and
The multiple angles and distance of the sending and receiving end LEO obtain SINR and GEO and the LEO wave of GEO and LEO user using computer sim- ulation
Relationship between beam distance is as shown in Figure 5.
Table 1
Table 2
The method that the present invention proposes beam isolation region, can be achieved to the minimum wave distance between clusters that dual system coexists and is defined as
Isolation distance, Fig. 6 are area of isolation schematic diagram.As shown in Figure 5, when GEO and LEO wave distance between clusters is less than 400km, at this time
LEO wave beam overlaps with GEO wave beam, and co-channel interference is very serious, and the user of two systems can not work normally.With
The increase of distance, SINR can increase sharply until saturation.Therefore, in the operational process of LEO satellite, if wave beam not into
In the area of isolation for entering same frequency GEO wave beam, the frequency spectrum share between two systems can be realized.
(30) wave beam distance obtains:Coordinate of the satellite in ECEF coordinate system is calculated by satellite ephemeris, further according to wave
Shu Zhixiang obtains the coordinate of beam center point, finally obtains the distance between two wave beams;
For convenience of reading, satellite ephemeris and parameter definition are concentrated as follows:
(30) wave beam includes apart from obtaining step:
(31) coordinate of the satellite in ECEF coordinate system is calculated by satellite ephemeris,
Wherein,
xk=rkcosuk, it is the x coordinate in orbit plane,
yk=rksinuk, it is the y-coordinate in orbit plane,
rk=a (1-ecosEk), it is the radius vector of satellite,
uk=fk+ ω hands over elongation for liter,
For true anomaly,
E is eccentricity,
Ek=Mk+esinEk, it is eccentric anomaly,
Mk=M0+n0tk, it is mean anomaly,
ω is argument of perigee,
Ωk=Ω0-Ωe(tk-tp), it is modified right ascension of ascending node,
tk=t-tpFor the epoch-making moment of track and the interval of time of perigee passage,
T is the epoch-making moment of track,
tpFor time of perigee passage,
For mean angular velocity.
(32) the ECEF velocity vector of satellite is calculated as follows,
Wherein,
For the change rate of the x in orbit plane,
For the change rate of the y in orbit plane,
For the change rate of the radius vector of satellite,
For liter hand over elongation a change rate,For the change rate of eccentric anomaly.
(33) pointing vector of wave beam is calculated as follows,
Wherein,
(34) position coordinates of beam center point are calculated as follows,
(35) distance of curved surface between beam center point is calculated as follows,
In formula, RI, GAnd RI, LRespectively indicate the position coordinates of GEO and LEO beam center point.
(40) frequency dynamic is distributed:In LEO satellite operational process, when any wave beam of LEO satellite will enter with frequency
When the area of isolation of GEO wave beam, realize that the spectrum efficient of two systems is shared with dynamic frequency allocation algorithm.
Enable xij∈ { 0,1 } indicates whether the frequency of wave beam i is j, dijIndicate wave beam i and nearest frequency for the GEO wave of j
The distance between beam center point.In order to minimize interference, most with all LEO wave beams and with the total distance between frequency GEO wave beam
Optimization aim is turned to greatly, then frequency allocation plan can be converted into following optimization problem.
(40) the frequency dynamic allocation step is specially:
All LEO wave beams are divided into multiple clusters according to the pattern that seven colors are multiplexed, the wave beam in each cluster is carried out respectively
Frequency distribution, the formula that frequency is distributed are
Wherein, N is the quantity of LEO wave beam, and K is the frequency duplex factor as one of GEO satellite, dthFor isolation distance, xij=1 table
The frequency of oscillography beam i distribution is j, xij=0 indicates that the frequency of wave beam i distribution is not j, dijIndicate wave beam i and nearest frequency
For the distance between the GEO beam center point of j, frequency distribution formula is resolved using enumerative technique.
At each moment of LEO satellite operation, judged according to the distance between LEO wave beam and GEO wave beam, if LEO
The wave beam of satellite will not all enter the area of isolation with frequency GEO wave beam, that is, meetIt is right, frequency allocation plan
It remains unchanged;The area of isolation with frequency GEO wave beam will be entered if there is a certain wave beam of LEO satellite, that is, metWhen, it determines cluster belonging to the wave beam, frequency is carried out to all wave beams of the cluster and is redistributed, distribution method is still
It is resolved using enumerative technique.
As shown in fig. 7, all LEO wave beams are divided into multiple clusters according to the pattern that seven colors are multiplexed, and in each cluster into
The optimization of line frequency distributes, to greatly reduce calculation amount.In addition, in LEO satellite operational process, when a certain LEO wave beam is
When by entering the area of isolation with frequency GEO wave beam, the cluster only where the wave beam carries out redistributing for frequency, effectively drops
The low switching frequency of beam frequencies.
Table 3
According to above-mentioned condition, when selecting simulation parameter shown in table 3, performance evaluation is as follows:
In emulation cycle, the frequency of cluster layer time is assigned 9 times, and the frequency of wave beam level is assigned 50 times, much smaller than every
The frequency second being all allocated.Fig. 8 and Fig. 9 is dynamic frequency allocation algorithm and common optimal energy allocation side respectively
The comparison of method.Wherein, light grey curve indicates glitch-free original signal, GEO user since satellite position is constant always, because
And signal quality remains unchanged;And cyclically-varying is presented as multiple wave beams pass sequentially through in the signal quality of LEO user.
When two systems share frequency spectrum, it may occur that view interference altogether, if using adaptive power control method, due to GEO user
Protection mechanism, the SINR of LEO user can decline very much, as shown in Dark grey curve.The signal of GEO user in black curve
Quality is almost as original signal, and the SINR of LEO user shows proposed by the present invention be based on also always above thresholding
The frequency spectrum sharing method performance of dynamic frequency allocation is better than common adaptive power control method.
Novel GEO and LEO based on frequency dynamic distribution of the invention recognizes satellite network, can defend in GEO and LEO
Efficient frequency spectrum share is realized in StarNet's network, and the performance of time user is effectively improved while protecting primary user.
Claims (9)
1. a kind of GEO and LEO recognizes satellite network, it is characterised in that:
GEO satellite and at least 1 LEO satellite as time user including at least 1 as primary user;
The GEO satellite uses multibeam antenna, using seven color channelings;
The LEO satellite uses multibeam antenna, and using channeling, frequency duplex factor as one is less than seven;
The downlink shared same frequency range of the GEO satellite and LEO satellite, provides broadband fixed service for user;
The wave cover area of the GEO satellite is 10 times or more of the wave cover area of LEO satellite, is located in GEO wave beam
LEO wave beam use except this GEO wave beam other any frequencies, carry out LEO multi-beam space division channeling, channeling
The factor is less than the frequency duplex factor as one of GEO.
2. cognition satellite network according to claim 1, it is characterised in that:The gateway station of the GEO satellite and LEO satellite
It is interconnected by ground network, real-time exchange satellite ephemeris, frequency configuration scheme, antenna radiation pattern information.
3. cognition satellite network according to claim 1, it is characterised in that:The figure that the LEO wave beam is multiplexed according to seven colors
Case carries out sub-clustering, in LEO satellite operational process, according to the shared information of gateway station, predicts LEO wave beam close to GEO with frequency wave
At the time of beam, frequency is carried out to the entire cluster where causing the LEO wave beam of frequency conflicts in advance and is redistributed.
4. cognition satellite network according to claim 1, it is characterised in that:The frequency belongs to Ku frequency range or Ka frequency range.
5. according to claim 1 to the dynamic frequency allocation method for recognizing satellite network described in one of 4, which is characterized in that packet
Include following steps:
(10) building interference analysis model:According in signal quality and antenna radiation pattern function and signal link and interfering link
The connection between angle between multiple sending and receiving ends, building interference analysis model;
(20) building is the same as frequency beam isolation region:During satellite motion, by the analysis to satellite and user's geometrical relationship,
The worst signal quality of the GEO and LEO user under different beams distance condition is obtained, according to demand on signal quality, determines isolation
Distance constructs area of isolation;
(30) wave beam distance obtains:Coordinate of the satellite in ECEF coordinate system is calculated by satellite ephemeris, is referred to further according to wave beam
To the coordinate for obtaining beam center point, the distance between two wave beams are finally obtained;
(40) frequency dynamic is distributed:In LEO satellite operational process, when any wave beam of LEO satellite will enter with frequency GEO wave
When the area of isolation of beam, realize that the spectrum efficient of two systems is shared with dynamic frequency allocation algorithm.
6. frequency allocation method according to claim 5, which is characterized in that described (10) building interference analysis model step
Including:
(11) signal quality:Using the ratio between signal power and interference plus noise power as the index of signal quality, it is calculated as follows
Signal quality,
Wherein, P indicates transmission power, GTIndicate the gain of transmitting antenna, GRIndicate the gain of receiving antenna, L indicates free space
Propagation loss, TnIndicate the equivalent noise temperature of receiver, B indicates transponder bandwidth, and k is Boltzmann constant.D in subscript
Indicate that the variable in signal link, I indicate the variable in interfering link.
(12) free-space propagation is lost:Free-space propagation loss is calculated as follows,
Wherein, f is frequency, and d indicates the distance between transmitting-receiving both-end, and c is the light velocity.
(13) antenna gain:Antenna gain is calculated as follows,
Wherein, J1It is first-order bessel function, θ indicates the angle between link direction and antenna main lobe axis, G0When expression θ=0
Maximum antenna gain,
Wherein, D is antenna aperture, and η is antenna efficiency.
7. frequency allocation method according to claim 6, which is characterized in that described (20) are constructed with frequency beam isolation region
Step includes:
(21) by following various angles and distance calculated under GEO subscriber signal quality worst condition:
As l > r (0.5 θL,3dB-arcsin((r+hL)sin(0.5θL,3dB)/(r+hG))) when,
θT,D=0.5 θL,3dB
dD=rsin (arcsin ((r+hL)sinθT,D/r)+θT,D)/sinθT,D
θT,I=arcsin (rsin (l/r- π+θT,D+arcsin((r+hG)sinθT,D/r))/dI)
θR,I=l/r+ θT,I-θT,D
θR,D=0
As l≤r (0.5 θL,3dB-arcsin((r+hL)sin(0.5θL,3dB)/(r+hG))) when,
θT,D=arcsin ((r+hG)sinθT,I/(r+hL))
dD=rsin (arcsin ((r+hL)sinθT,D/r)+θT,D)/sinθT,D
θR,D=θR,I=0
(22) by following various angles and distance calculated under LEO subscriber signal quality worst condition:
As l > r (0.5 θL,3dB-arcsin((r+hL)sin(0.5θL,3dB)/(r+hG))) when,
θT,D=0.5 θL,3dB
dD=rsin (arcsin ((r+hL)sinθT,D/r)+θT,D)/sinθT,D
θT,I=arcsin (rsin (l/r- π+θT,D+arcsin((r+hG)sinθT,D/r))/dI)θR,I=l/r+ θT,I-θT,D
θR,D=0
As l≤r (0.5 θL,3dB-arcsin((r+hL)sin(0.5θL,3dB)/(r+hG))) when,
θT,D=arcsin ((r+hG)sinθT,I/(r+hL))
dD=rsin (arcsin ((r+hL)sinθT,D/r)+θT,D)/sinθT,D
θR,D=θR,I=0
In formula, hGAnd hLThe orbit altitude of GEO and LEO satellite is respectively indicated, r indicates earth radius, θG,3dBIndicate GEO satellite
3dB beam angle, θL,3dBIndicate that the 3dB beam angle of LEO satellite, l indicate the distance between the beam center point of GEO and LEO.
Angle of the θ between link direction and antenna main lobe axis, d are the distance between sending and receiving end, T and R in subscript respectively indicate with
The relevant variable of transmitting terminal and receiving end, D and I respectively indicate the variable in signal link and interfering link.
(23) according under the angle and distance, LEO subscriber signal quality worst condition under GEO subscriber signal quality worst condition
Angle and distance substitute into interference analysis model, are calculated between SINR and GEO and LEO the wave beam distance of GEO and LEO user
Relationship the minimum GEO and LEO wave distance between clusters for meeting thresholding is set to by isolation according to desired minimum user SINR thresholding
Distance, using GEO beam center point as the center of circle, isolation distance is the circle of radius as area of isolation.
8. frequency allocation method according to claim 7, which is characterized in that (30) wave beam is apart from obtaining step packet
It includes:
(31) coordinate of the satellite in ECEF coordinate system is calculated by satellite ephemeris,
Wherein,
xk=rkcosuk, it is the x coordinate in orbit plane,
yk=rksinuk, it is the y-coordinate in orbit plane,
rk=a (1-ecosEk), it is the radius vector of satellite,
uk=fk+ ω hands over elongation for liter,
For true anomaly,
E is eccentricity,
Ek=Mk+esinEk, it is eccentric anomaly,
Mk=M0+n0tk, it is mean anomaly,
ω is argument of perigee,
Ωk=Ω0-Ωe(tk-tp), it is modified right ascension of ascending node,
tk=t-tpFor the epoch-making moment of track and the interval of time of perigee passage,
T is the epoch-making moment of track,
tpFor time of perigee passage,
For mean angular velocity.
(32) the ECEF velocity vector of satellite is calculated as follows,
Wherein,
For the change rate of the x in orbit plane,
For the change rate of the y in orbit plane,
For the change rate of the radius vector of satellite,
For liter hand over elongation a change rate,
For the change rate of eccentric anomaly.
(33) pointing vector of wave beam is calculated as follows,
Wherein,
(34) position coordinates of beam center point are calculated as follows,
(35) distance of curved surface between beam center point is calculated as follows,
In formula, Ri,GAnd Ri,LRespectively indicate the position coordinates of GEO and LEO beam center point.
9. frequency allocation method according to claim 8, which is characterized in that (40) the frequency dynamic allocation step is specific
For:
All LEO wave beams are divided into multiple clusters according to the pattern that seven colors are multiplexed, frequency is carried out to the wave beam in each cluster respectively
Distribution, the formula that frequency is distributed are
Wherein, N is the quantity of LEO wave beam, and K is the frequency duplex factor as one of GEO satellite, dthFor isolation distance, xij=1 indicates wave beam
The frequency of i distribution is j, xij=0 indicates that the frequency of wave beam i distribution is not j, dijIndicate wave beam i and nearest frequency for the GEO of j
The distance between beam center point resolves frequency distribution formula using enumerative technique.
At each moment of LEO satellite operation, judged according to the distance between LEO wave beam and GEO wave beam, if LEO satellite
Wave beam all will not enter with frequency GEO wave beam area of isolation, that is, meetWhen, frequency allocation plan is kept not
Become;The area of isolation with frequency GEO wave beam will be entered if there is a certain wave beam of LEO satellite, that is, met
When, determine cluster belonging to the wave beam, frequency carried out to all wave beams of the cluster and is redistributed, distribution method still use enumerative technique into
Row resolves.
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