CN104219766B - The flexible non-homogeneous channel link gain determination method of repeater satellite system - Google Patents
The flexible non-homogeneous channel link gain determination method of repeater satellite system Download PDFInfo
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Abstract
The present invention discloses a kind of non-homogeneous channel link gain determination method of flexible repeater satellite communication system, including：Resource allocation and link parameter are set, and are calculated link gain under the conditions of different operating point, are judged whether link can lead to, and select transponder best operating point, calculate the step such as ground upstream terminal EIRP values and link gain.This method can quickly and easily determine the link gain of the flexible non-homogeneous channel of repeater satellite communication system, effectively improve power system capacity and power resource utilization rate.
Description
Technical field
The invention belongs to satellite wireless communication technical field, more particularly to a kind of flexible non-homogeneous letter of repeater satellite system
Road link gain determines method.
Background technology
With satellite communication multi-beam, multiple services continuous development, pass-through mode is realizing Large Copacity broadband on existing star
Certain limitation be present in the ability that non-homogeneous communication service exchanges：Transparent forwarding mode simple and flexible, but crossover fixation, hold
Easily cause frequency resource waste；It is high to regenerate pass-through mode power system capacity, but flexibility is low, and equipment implementation complexity is high.In recent years,
Flexible transponder, by digital channelizing technology, can complete any channel as a kind of efficient Onboard switching payload
Between flexible route switching and the channel gain of signal adjust, by the very big concern in various countries.
For the satellite communication system using flexible forwarding payload, if transponder can be subdivided into by channelization technique
Dry subchannel, the thought adjusted with non-homogeneous channel gain are independently arranged every subchannel gain, enter line link in numeric field
The compensation of loss, solve the problems, such as that big carrier wave suppresses small carrier wave caused by the high power amplifier nonlinear effect of transponder, makes each well
Channel, which is tried one's best, meets the gain requirements of communication link, so as to improve power system capacity and power resource utilization rate.At present, based on numeral
The flexible transponder of channelization technique is applied in some commercial and Military Operational Satellite Systems, and turns into these satellites
Key and core technology in payload, wherein U.S. army wide band worldwide satellite communication (WGS) system most represented.
Non-homogeneous channel gain adjustment is a major issue of the flexible transponder based on digital channelizing.Non-homogeneous letter
The concept of road gain is proposed that, by being separately provided each of the links channel gain, analysis is defended by Marshall and Heissler first
Star link supportable, improve power system capacity.But channel gain is all set in advance, it does not provide the tool of channel gain
Body method for solving, and analyze process and be related to inverting for matrix, calculate cumbersome.Marshall and Jo uses Lagrange multiplier
The optimized algorithm of (Lagrangian Multiplier, LM), each channel is solved in the case where minimizing transponder power output criterion and is increased
Benefit, but all only consider to reduce the up EIRP of each ground based terminal to minimize transponder power output, it have ignored transponder work(
Rate utilization rate problem.Positive will is bright and Cao Zhigang proposes a kind of maximum-minimize model, is searched for using based on variable neighborhood
The Algorithm for Solving channel gain of (Variable Neighborhood Search, VNS), by reducing each carrier wave work(in transponder
Difference between rate, makes it balance as far as possible, above pushes away transponder operating point so as to realize, improves the power utilization of transponder,
But algorithm setting to initial value in optimization design is sensitive, during in face of extensive satellite communication link, Optimal Parameters increase
More, implementation process is complicated.The method that John J use unoptimizable, each subchannel gains are calculated by direct solution linear equality,
The matrix inversion during Algorithm for Solving is avoided, but the algorithm idealizes power amplifier, does not account for nonlinear
Influence.
In a word, determination of the prior art to non-homogeneous channel link gain in flexible repeater satellite system, which exists, is related to parameter
More, the problem of implementation process is complicated, computationally intensive.
The content of the invention
It is an object of the invention to provide a kind of flexible non-homogeneous channel link gain determination method of repeater satellite system, energy
The channel gain of satellite link is simply and rapidly calculated, effectively improves power system capacity and power resource utilization rate.
The technical solution for realizing the object of the invention is：A kind of flexible non-homogeneous channel link of repeater satellite communication system
Gain determination method, comprise the following steps：Transponder sub-channel resource is distributed for every satellite link, determines ground transmitting-receiving station day
Line parameter, receive carrier-to-noise ratio thresholding ciWith the available EIRP values of each launch terminal；Joined according to channel distribution and satellite link
Number is set, and under the conditions of transponder minimum output power criterion, selects earth station antenna maximum to provide EIRP values as transmitting
Power, calculate link gain under the conditions of different operating point；Judge whether link can lead to according to link gain, otherwise return to resource point
With with link parameter setting steps；Under the conditions of link supportable, according to the link gain in the case of different operating point and upper
Row input power, select transponder best operating point；According to best operating point, calculate ground upstream terminal EIRP values and link increases
Benefit, sent and set per communication link channel gain by feed circuit；
The present invention compared with prior art, its remarkable advantage：
1st, simple and fast：Each of the links gain is directly calculated using gain function, avoid complexity optimized algorithm and
Matrix inversion；Under minimum transponder power output criterion, transmitting is used as using ground transmission station maximum EIRP values as far as possible
Power, reduce solution parameter, be adapted to solve any amount link gain；
2nd, better performances：By choosing transponder best operating point, it is set to improve satellite system work(close to saturation point
Rate utilization rate；Each of the links is separately provided channel gain, overcomes big carrier wave and suppresses small carrier wave problem, it is non-linear to reduce power amplifier
Influence；
The present invention is described in further detail below in conjunction with the accompanying drawings.
Brief description of the drawings
Fig. 1 is the flexible non-homogeneous channel link gain determination method flow chart of repeater satellite system of the present invention.
Fig. 2 is that link gain flow chart under the conditions of different operating point is calculated in Fig. 1.
Fig. 3 is that ground upstream terminal EIRP values and link gain flow chart are calculated in Fig. 1.
Fig. 4 is flexible repeater satellite system structure diagram.
Fig. 5 is link supportable curve map.
Fig. 6 is link gain function curve diagram under nonlinear condition.
Fig. 7 is nonlinear effect measurement curve map.
Fig. 8 a are the carrier-to-noise ratio constraint violation degree MVCNIRC curves of description link supportable；
Fig. 8 b are that the high power amplifier nonlinear effect of transponder of description transponder power utilization rate measures MEHPAN curves；
Fig. 8 c are the target function value OBIOBJFV curve maps of the good and bad performance of description algorithm.
Fig. 9 be the inventive method with the link supportable of other algorithms compared with power system capacity.
Figure 10 is that the power utilization simulation result of the inventive method compares.
Figure 11 is compared with the inventive method is set with transparent forwarding System Link Gain.
Embodiment
As shown in figure 4, it is flexible repeater satellite system structure diagram.There is a flexibility in the flexible repeater satellite system
Repeater satellite and multiple ground transmitting-receiving stations, single transponder have N number of subchannel, and each subchannel gains can be separately configured,
And there was only a high power amplifier in a transponder, there are M communication links between transmitting-receiving station.It is configured to below with WGS satellite parametric reductions
Example, to illustrate the present invention.
As shown in figure 1, the flexible non-homogeneous channel link gain determination method of repeater satellite communication system of the present invention, including such as
Lower step：
11) resource allocation and link parameter are set：Transponder sub-channel resource is distributed for every satellite link, determines ground
Transmitting-receiving station antenna parameter, receive carrier-to-noise ratio thresholding ciWith the available EIRP values of each launch terminal；
EIRP is EIRP (Effective isotropic radiated power).
Applied according to user, be that transponder channel resource is distributed per communication link, one big carrier wave needs to distribute some
Sub-channels, and multiple small carrier waves can be contained in a sub-channels.Transmitting-receiving station antenna parameter, transmitting station antenna are determined simultaneously
Up EIRP values can be provided, and determine that link receives carrier-to-noise ratio thresholding c according to receiving terminal antennai.Calculate free-space propagation
Loss, satellite reception end link input power is converted into by up transmitting EIRP values.
12) link gain under the conditions of calculating different operating point：According to channel distribution and satellite link parameter setting, forwarding
Under the conditions of device minimum output power criterion, select earth station antenna maximum to provide EIRP values as transmission power, calculate different
Link gain under the conditions of operating point；
As shown in Fig. 2 link gain (12) step is specially under the conditions of calculating different operating point：
21) transmission power of selection transmitting station antenna：Selection launch terminal can provide EIRP values to launch the hair of station antenna
Penetrate power；
According to transponder minimum output power criterion, in order to ensure transponder power output minimum, so selection cell site
The transmission power of antenna is that maximum can provide EIRP values.
22) link gain under the conditions of calculating different operating point：
Wherein, k is Boltzmann constants, k=1.23 × 10-23J/K；TsFor transponder equivalent input noise temperature, TiFor
Ground receiver terminals equivalent input noise temperature, unit K；GnFor n-th of subchannel gains, unit：dB；N (i) represents son
Channel n distributes to link i, xiFor satellite antenna receiving terminal link i input powers, unit：W；biFor downlink loss, unit：
DB, ΔijIt is spectrum alias component, dimensionless caused by signal i and signal j in transponder；P is transponder saturation power, unit：
W；B is whole transponder bandwidth, unit：Hz；Z is repeater operation point, and g (z) is transponder nonlinear gain compression function, h
(z) it is intermodulation characteristic function；
If 23) link gain Gi＜ Gmin, then set link gain to provide gain, G for transponder is minimumi=Gmin, meter
Calculate link input power：
Wherein, GminRepresent that transponder most I provides gain；
If 24) link gain Gi＞ Gmax, then it is that transponder maximum can provide gain, i.e. G to set link gaini=
Gmax, calculate link input power：
Wherein, GmaxRepresent that transponder maximum can provide gain；
25) the up EIRP values of transmitting terminal are calculated：
EIRP=Xi+L-Gr(dB)
Wherein, XiRepresent input power xiDB values, L be free-space propagation loss, GrFor satellite earth antenna gain.
13) judge whether link can lead to：Judge whether link can lead to according to link gain, otherwise return to resource allocation and chain
Road parameter setting (11) step；
It is described to judge whether link lead to (13) step and be specially：
31) G is worked asmin＜ Gi＜ GmaxWhen, link can lead to；
32) G is worked asi＞ GmaxWhen, the increase of link input power, transmission power needed for earth station increases therewith, and is more than actual
Maximum transmission power can be provided, i.e., can not lead to for given transmitting-receiving earth station parameter and link carrier-to-noise ratio condition, link, return
Step (11) redistributes sub-channel resource；
33) G is worked asi＜ GminWhen, up EIRP values, which are less than, can provide maximum EIRP values, and link can lead to.
14) transponder best operating point is selected：Under the conditions of link supportable, according to the chain in the case of different operating point
Road gain and up input power, select transponder best operating point；
It is described selection transponder best operating point (14) step be specially：
41) according to link supportable condition, the communication link for selecting to lead to calculates the high power amplifier nonlinear effect of transponder
Metric：
Wherein, MEHPAN is the high power amplifier nonlinear effect measurement of transponder, and M is satellite link sum, and N is transponder letter
Road sum, BnRepresent n-th of subchannel bandwidth；
42) according to the nonlinear effect metric under the conditions of different operating point, repeater operation point during minimum value is selected
As best operating point.
15) ground upstream terminal EIRP values and link gain are calculated：According to best operating point, ground upstream terminal is calculated
EIRP values and link gain, sent and set per communication link channel gain by feed circuit；
As shown in figure 3, calculating ground upstream terminal EIRP values and link gain (15) step are specially：
51) link terminal optimum transmission power is used as using the transmitting station antenna EIRP values of best operating point；
52) satellite antenna receiving terminal link input power is calculated：
Xi=EIRP-L+Gr(dB)
53) each of the links gain at best operating point is calculated：
54) according to minimum transponder power output criterion, calculating link every satellite link can use under supports conditions
Transponder power PiWith transponder general power PT：
Wherein, k is Boltzmann constants, k=1.23 × 10-23J/K；TsFor transponder equivalent input noise temperature, TiFor
Ground receiver terminals equivalent input noise temperature, unit K；GnFor n-th of subchannel gains, unit：dB；N (i) represents son
Channel n distributes to link i, xiFor satellite antenna receiving terminal link i input powers, unit：W；biFor downlink loss, unit：
DB, ΔijIt is spectrum alias component, dimensionless caused by signal i and signal j in transponder；P is transponder saturation power, unit：
W；B is whole transponder bandwidth, unit：Hz；Z is repeater operation point, and g (z) is transponder nonlinear gain compression function, h
(z) it is intermodulation characteristic function.
This method solves the non-linear caused size carrier wave suppression of high power amplifier by non-homogeneous set of subchannel gains
System and intermodulation distortion problem, it is optimum transmission power to set launch terminal maximum to provide EIRP values, can meet that transponder is defeated
Go out power minimum criteria, and each of the links gain can obtain using simple nonlinear equation, meet link supportable
In the case of improve satellite system capacity.Measured simultaneously by high power amplifier nonlinear effect and choose transponder best operating point, can be with
Improve transponder power utilization rate.
Fig. 5 gives link sustainable curve.It can be seen that for every communication link, with earth station
Row transmitting EIRP is worth increase, and link gain reduces therewith, and in link the value on curve ranges can be supported to protect
Card link can lead to.
Fig. 6 gives link gain function curve diagram under nonlinear condition.For different repeater operation points, on ground
, can be with during cell site maximum EIRP (EIRP, Effective isotropic radiated power) value
Obtain different link gains.
Fig. 7 show nonlinear effect measurement curve map.For determining the setting of transponder best operating point.Choose forwarding
Device nonlinear effect measures minimum value, and corresponding z values are transponder best operating point, now power utilization highest, so that
Determining under the conditions of transponder best operating point can be to obtain the optimal input power of link and yield value.
Fig. 8 a -8c give the present invention and the performance comparison curve of other several algorithms.
MVCNIRC (carrier-to-noise ratio constraint violation degree, describing link supportable) curve is understood from Fig. 8 a, although all
Link carrier-to-noise ratio all meets requirement of system design, but LM (Lagrange multiplier, Lagrangian Multiplier) algorithm
And this paper DS (are directly calculated, Direct Solve) algorithm and (searched for VNS based on variable neighborhood, Variable
Neighborhood Search) algorithm compares, link carrier-to-noise ratio surplus very little, system under this arrangement link robustness and
Stability may be not so good as VNS algorithms.
It is bent to observe MEHPAN in Fig. 8 b (the high power amplifier nonlinear effect measurement of transponder, description transponder power utilization rate)
Line understand, transponder nonlinear effect is suitable with VNS algorithms under the inventive method, slightly larger than VNS algorithms, but with LM algorithm phases
Than transponder nonlinear effect influences respectively less than under LM algorithms, shows that the algorithm obtains preferable power utilization.
Observe OBIOBJFV (target function value, describing the good and bad performance of algorithm) curve in Fig. 8 c to understand, the inventive method
Obtained target function value is solved between the target function value of LM algorithms and VNS algorithms, illustrates the solution phase that this algorithm is found
To more excellent.More crucially when 2 inch calibre terminal transmission power are less than 5W, it is defeated that LM algorithms can not find transponder minimum
The optimal solution gone out under power target criterion, but VNS algorithms and the inventive method can find relative optimal solution.Pass through emulation point
Analysis, this method has greater advantage compared with LM algorithms in performance, but for VNS algorithms, performance gap.But
In terms of calculating implementation complexity, inventive algorithm greatly reduces the parameter of Optimization Solution in solution procedure, by simple
Non-linear formula can be solved to obtain the relatively excellent solution of system link, and link supportable is carried out to Large Copacity link satellite system
Method is more excellent during analysis and solution link gain.
Fig. 9 gives of the invention and other method link supportable compared with capacity analysis.It can be seen that
When 2 inch calibre terminals take different uplink transmission power EIRP values, several links can all lead to the inventive method, with VNS
Optimized algorithm has identical power system capacity, and improves 25% than LM algorithm.As shown in Figure 10, under the inventive method, forwarding
The total descending power of device and VNS algorithms are essentially identical, improve about 0.26dBW compared with LM algorithms, power increment is about 6.2%, VNS
Algorithm improves 8% compared to LM algorithms in terms of transponder power utilization rate.
Figure 11 gives the inventive method compared with the setting of transparent forwarding System Link Gain.It can be seen that with
The continuous improvement that rain declines, using the transponder of conventional transparent forward mode, link availability declines quickly, but turns in flexibility
Send out in satellite system, link gain is solved using the inventive method, being declined in rain can all lead to no more than 5db values, link.When rain declines
When value increases to 11dB, the inventive method has very high link availability compared with conventional transparent repeater satellite.
Claims (5)
1. a kind of non-homogeneous channel link gain determination method of flexible repeater satellite communication system, it is characterised in that including as follows
Step：
11) resource allocation and link parameter are set：Transponder sub-channel resource is distributed for every satellite link, determines that ground is received and dispatched
Station antenna parameter, receive carrier-to-noise ratio thresholding ciWith the available EIRP EIRP values of each launch terminal；
12) link gain under the conditions of calculating different operating point：According to channel distribution and satellite link parameter setting, in transponder most
Under the conditions of small power output criterion, select earth station antenna maximum to provide EIRP values as transmission power, calculate different operating
Link gain under the conditions of point；
13) judge whether link can lead to：Judge whether link can lead to according to link gain, otherwise return to resource allocation and link ginseng
Number sets (11) step；
14) transponder best operating point is selected：Under the conditions of link supportable, increased according to the link in the case of different operating point
Beneficial and up input power, select transponder best operating point；
15) ground upstream terminal EIRP values and link gain are calculated：According to best operating point, ground upstream terminal EIRP values are calculated
And link gain, sent and set per communication link channel gain by feed circuit.
2. the non-homogeneous channel link gain determination method of flexible repeater satellite communication system according to claim 1, it is special
Sign is：Link gain (12) step is specially under the conditions of the calculating different operating point：
21) transmission power of selection transmitting station antenna：Selection launch terminal can provide EIRP values to launch the transmitting work(of station antenna
Rate；
22) link gain under the conditions of calculating different operating point：
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Wherein, k is Boltzmann constants, k=1.23 × 10-23J/K；TsFor transponder equivalent input noise temperature, TiFor ground
Receiving terminal equivalent input noise temperature, unit K；GnFor n-th of subchannel gains, unit：dB；N (i) represents subchannel n
Distribute to link i, xiFor satellite antenna receiving terminal link i input powers, unit：W；biFor downlink loss, unit：DB,
ΔijIt is spectrum alias component, dimensionless caused by signal i and signal j in transponder；P is transponder saturation power, unit：W；B is
Whole transponder bandwidth, unit：Hz；Z is repeater operation point, and g (z) is transponder nonlinear gain compression function, and h (z) is
Intermodulation characteristic function；
If 23) link gain Gi＜ Gmin, then set link gain to provide gain for transponder is minimum, calculate link input work
Rate：
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Wherein, GminRepresent that transponder most I provides gain；
If 24) link gain Gi＞ Gmax, then it is that transponder maximum can provide gain to set link gain, calculates link input
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Wherein, GmaxRepresent that transponder maximum can provide gain；
25) the up EIRP values of transmitting terminal are calculated：
EIRP=Xi+L-Gr(dB)
Wherein, XiRepresent input power xiDB values, L be free-space propagation loss, GrFor satellite earth antenna gain.
3. the non-homogeneous channel link gain determination method of flexible repeater satellite communication system according to claim 2, it is special
Sign is：It is described to judge whether link lead to (13) step and be specially：
31) G is worked asmin＜ Gi＜ GmaxWhen, link can lead to；
32) G is worked asi＞ GmaxWhen, the increase of link input power, therewith transmission power needed for earth station increase, and more than can actually carry
For maximum transmission power, i.e., can not lead to for given transmitting-receiving earth station parameter and link carrier-to-noise ratio condition, link, return to step
(11) sub-channel resource is redistributed；
33) G is worked asi＜ GminWhen, up EIRP values, which are less than, can provide maximum EIRP values, and link can lead to.
4. the non-homogeneous channel link gain determination method of flexible repeater satellite communication system according to claim 3, it is special
Sign is that described selection transponder best operating point (14) step is specially：
41) according to link supportable condition, the communication link for selecting to lead to calculates the high power amplifier nonlinear effect measurement of transponder
Value：
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<mo>|</mo>
<mi>z</mi>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mi>P</mi>
</mfrac>
<mrow>
<mo>(</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>M</mi>
</munderover>
<msub>
<mi>x</mi>
<mi>i</mi>
</msub>
<msub>
<mi>G</mi>
<mrow>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mi>i</mi>
<mo>)</mo>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>kT</mi>
<mi>s</mi>
</msub>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>n</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>N</mi>
</munderover>
<msub>
<mi>G</mi>
<mi>n</mi>
</msub>
<msub>
<mi>B</mi>
<mi>n</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
Wherein, M is satellite link sum, and N is that transponder subchannel is total, BnRepresent n-th of subchannel bandwidth；
42) according to the nonlinear effect metric under the conditions of different operating point, repeater operation point conduct during minimum value is selected
Best operating point.
5. the non-homogeneous channel link gain determination method of flexible repeater satellite communication system according to claim 4, it is special
Sign is that the calculating ground upstream terminal EIRP values and link gain (15) step are specially：
51) link terminal optimum transmission power is used as using the transmitting station antenna EIRP values of best operating point；
52) satellite antenna receiving terminal link input power is calculated：
Xi=EIRP-L+Gr(dB)
53) each of the links gain at best operating point is calculated：
<mrow>
<msub>
<mi>G</mi>
<mrow>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mi>i</mi>
<mo>)</mo>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
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<mi>c</mi>
<mi>i</mi>
</msub>
<msub>
<mi>f</mi>
<mi>i</mi>
</msub>
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<mo>(</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<msub>
<mi>c</mi>
<mi>i</mi>
</msub>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>&NotEqual;</mo>
<mi>i</mi>
</mrow>
</munder>
<msub>
<mi>&Delta;</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>x</mi>
<mi>j</mi>
</msub>
<msub>
<mi>G</mi>
<mrow>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mi>j</mi>
<mo>)</mo>
</mrow>
</mrow>
</msub>
</mrow>
<mrow>
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<mi>x</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>kT</mi>
<mi>s</mi>
</msub>
<msub>
<mi>c</mi>
<mi>i</mi>
</msub>
</mrow>
</mfrac>
</mrow>
54) according to minimum transponder power output criterion, calculating link can every satellite link uses under supports conditions forwarding
Device power PiWith transponder general power PT：
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<mtr>
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</mrow>
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<mi>s</mi>
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</mfenced>
<mfenced open = "" close = "">
<mtable>
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<mi>P</mi>
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</mrow>
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</munderover>
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</msub>
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<mi>B</mi>
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</msub>
<mo>)</mo>
</mrow>
<mo>/</mo>
<mi>g</mi>
<mrow>
<mo>(</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>M</mi>
</munderover>
<mo>&lsqb;</mo>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<mi>h</mi>
<mrow>
<mo>(</mo>
<mi>z</mi>
<mo>)</mo>
</mrow>
<mi>P</mi>
</mrow>
<mi>B</mi>
</mfrac>
<mo>+</mo>
<msub>
<mi>kT</mi>
<mi>j</mi>
</msub>
<msub>
<mi>b</mi>
<mi>j</mi>
</msub>
<mo>)</mo>
</mrow>
<msub>
<mi>c</mi>
<mi>j</mi>
</msub>
<mo>&rsqb;</mo>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Wherein, k is Boltzmann constants, k=1.23 × 10-23J/K；TsFor transponder equivalent input noise temperature, TiFor ground
Receiving terminal equivalent input noise temperature, unit K；GnFor n-th of subchannel gains, unit：dB；N (i) represents subchannel n
Distribute to link i, xiFor satellite antenna receiving terminal link i input powers, unit：W；biFor downlink loss, unit：DB,
ΔijIt is spectrum alias component, dimensionless caused by signal i and signal j in transponder；P is transponder saturation power, unit：W；B is
Whole transponder bandwidth, unit：Hz；Z is repeater operation point, and g (z) is transponder nonlinear gain compression function, and h (z) is
Intermodulation characteristic function.
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| CN106250324B (en) * | 2016-07-17 | 2019-02-15 | 西安电子科技大学 | A kind of broadband flexibility exchange method of rate-compatible |
| CN108174451B (en) * | 2017-12-19 | 2019-07-09 | 南京控维通信科技有限公司 | Satellite channel allocation method based on the distribution of quadratic function power |
| CN110602775A (en) * | 2019-07-25 | 2019-12-20 | 青岛国数信息科技有限公司 | Gain adjustment system and method suitable for cross-intercontinental Beidou short message communication |
| CN112260782B (en) * | 2020-09-17 | 2022-08-12 | 中国空间技术研究院 | Method and device for inquiring frequency spectrum utilization rate of multi-beam satellite communication system |
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