CN104902574A - Antenna selection and power distribution method based on energy efficiency - Google Patents

Antenna selection and power distribution method based on energy efficiency Download PDF

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Publication number
CN104902574A
CN104902574A CN201510167300.3A CN201510167300A CN104902574A CN 104902574 A CN104902574 A CN 104902574A CN 201510167300 A CN201510167300 A CN 201510167300A CN 104902574 A CN104902574 A CN 104902574A
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transmitting antenna
antenna
transmitting
sigma
equal
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CN104902574B (en
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孙锴
安凯月
黄威
贾美俊
张磊
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Inner Mongolia University
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Inner Mongolia University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Abstract

The invention provides an antenna selection and power distribution method based on energy efficiency. The method comprises the steps as follows: step S1) obtaining channel state information transmitted by each mobile terminal; step S2) ordering channel conditions of all transmitting antennas according to good and bad conditions in accordance with the channel state information, transmitting the front Ntt transmitting antennas to form a transmitting antenna set; calculating energy efficiency optimal value of all transmitting antenna combinations in the transmitting antenna set (img file is equal to DDA0000697273720000011. TIF wi is equal to 86 and he is equal to 78), wherein the corresponding antenna combination thereof is (img file is equal to DDA0000697273720000012. TIF wi is equal to 76 and he is equal to 76); then selecting the front Ntt adds 1 transmitting antennas to form the transmitting antenna set, calculating (img file is equal to DDA0000697273720000013. TIF wi is equal to 112 and he is equal to 85), wherein the (img file is equal to DDA0000697273720000015. TIF wi is equal to 68 and he is equal to 78) is an optimal antenna combination if (img file is equal to DDA0000697273720000014. TIF wi is equal to 238 and he is equal to 83), otherwise enabling Ntt to be equal to Ntt adds 1, and repeating the above processes until the antennas in the transmitting antenna set are all transmitting antennas; step S3) performing transmitting power distribution to the transmitting antennas in the optimal antenna combination by using secondary allocation. The method of the invention effectively avoids energy surplus of the mobile terminal, achieves maximum usage of whole system energy, and greatly reduces algorithm complexity in comparison with existing method.

Description

A kind of sky line options based on efficiency and power distribution method
Technical field
The present invention relates to the RRM field in distributed mobile communication system, be specifically related to a kind of sky line options based on efficiency and power distribution method.
Background technology
Along with the lasting rising of energy demand and energy cost, how constantly increasing the weight of of environmental problem, improve the energy efficiency of communication network, realize green communications and be subject to studying widely and discussing.Base station, as the core of centralized antenna system, in order to realize the reliable communication with edge customer, ensures whole coverings of user, needs to consume a large amount of energy.In order to by the transmitting antenna of base station and user close as much as possible, improve energy utilization rate, the distributing antenna system that the antenna element be geographically separated by Fiber connection forms arises at the historic moment; It can not only reduce access distance, reduce transmitting energy, can also increase power system capacity, expands the network coverage, improve marginal user performance, use obtains and pays close attention to widely.
In distributing antenna system, rational Resourse Distribute can improve systematic function further, improve power efficiency.In sky line options and power division, current most methods is the power assignment value that the channel condition information (CSI) obtained according to transmitting terminal carries out that power water filling obtains optimum, by judging that the numerical value distributing power selects antenna.But the energy valid value of these methods is always lower than the energy valid value of being lifted method by group, and the combinatorial search of sky line options and power division needs repeatedly to iterate and could determine optimum combination.When the spaced antenna in distributing antenna system is more, combinatorial search scheme because of its complexity too high, extra circuit energy consumption can be produced, offset the transmitting energy that it saves, further, complexity is too high also can increase the response time, cannot meet online user's demand.
Summary of the invention
The object of the invention is to the above-mentioned defect existed for overcoming sky line options in current distributing antenna system and power distribution method, propose a kind of sky line options based on efficiency and power distribution method, the method can reach balanced between efficiency and computational complexity, while acquisition high energy efficiency, significantly reduce the computational complexity of system.
To achieve these goals, the invention provides a kind of sky line options based on efficiency and power distribution method, said method comprising the steps of:
Step S1) obtain each mobile terminal send channel condition information, described channel condition information comprises large scale fading information and the channel noise variance of transmitting antenna;
Described transmitting antenna is the antenna of transmitting terminal, and number is N t; The distributed antenna unit that described transmitting terminal is base station in distributing antenna system and is connected with base station;
Step S2) according to channel condition information, the channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection; Under the condition that each antenna transmitted power is equal, calculate the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is n before selecting again tt+ 1 transmitting antenna composition transmitting antenna collection, calculates if then for optimal antenna combination, proceed to step 3); Otherwise, then N before selecting tt+ 2 transmitting antenna composition transmitting antenna collection, calculate repeat said process, until the number of transmitting antenna collection equals N t;
Step S3) adopt the mode of secondary distribution to carry out transmit power assignment to the transmitting antenna in optimal antenna combination, in first time power division, obtained the enclosed power solution of first transmitting antenna by Lagrangian constant method, the performance number of other transmitting antenna calculates according to the ratio of respective channels coefficient; In second time power division, utilize the bit error rate requirement of mobile terminal, the performance number of adjustment transmitting antenna, makes the signal strength signal intensity of mobile terminal minimum within the scope of bit error rate requirement.
In technique scheme, described step S2) specifically comprise:
Step S201) according to the channel condition information distribution situation between the bit error rate requirement of mobile terminal and transmitting antenna, determine the initial ranging number N of transmitting antenna tt, wherein N tt< N t;
Step S202) channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
The efficiency η that each transmitting antenna combination is corresponding eEbe expressed as:
&eta; EE ( p , s ) = R ( p , s ) p tot ( p , s ) = log 2 ( 1 + | &Sigma; i = 1 N tt s i p i h i | 2 &sigma; n 2 ) &Sigma; i = 1 N tt s i &times; p c + &Sigma; i = 1 N tt s i p i - - - ( 1 )
Wherein, s i∈ 0,1, i=1...N ttrepresent the selection situation of each transmitting antenna in the combination of this transmitting antenna, 0 represents non-selected, and 1 expression is selected; p i, h irepresent performance number and the large scale decline of i-th transmitting antenna respectively, make p i=p max, wherein p maxfor the maximum transmit power of every root antenna; p cit is the circuit power consumption of transmitting antenna; it is channel noise variance; P, s are power allocation vector and sky line options vector respectively, r p, s, p totmomentary output and power consumption in p, s representation unit bandwidth;
Step S203) channel condition of all transmitting antennas is sorted according to quality, N before selecting tt+ 1 transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
Step S204) judge whether set up, if judged result is affirmative, best antenna combination is proceed to step S206); Otherwise, proceed to step 205);
Step S205) judge N tt+ 1=N twhether set up, if judged result is affirmative, best antenna combination is proceed to step S206), otherwise, make N tt=N tt+ 1, proceed to step S203);
Step S206) obtain the best of breed s of transmitting antenna *, antenna selection procedure terminates.
In technique scheme, described step S3) specifically comprise:
Step S301) first time transmit power assignment is carried out to the transmitting antenna in optimal antenna combination: the enclosed power solution being obtained first transmitting antenna by Lagrangian constant method, the performance number of other transmitting antenna calculates according to the ratio of respective channels coefficient;
Step S302) utilize step S301) in the antenna power value that obtains, the signal strength signal intensity γ of estimation mobile terminal 1:
&gamma; 1 = | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Step S303) calculate γ 1with the lowest signal intensity γ needed for mobile terminal 0ratio γ p;
Step S304) with γ pfor zooming parameter, the performance number of adjustment transmitting antenna, obtains the transmitted power of the best of each antenna:
p i * = p i / &gamma; p - 1,1 &le; i &le; N opt .
In technique scheme, described step S301) be specially:
Based on transmitting terminal and mobile terminal to the restriction of antenna power, efficiency η eEmaximization problems be expressed as:
max &eta; EE ( p ) = log 2 ( 1 + | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2 ) N opt &times; p c + &Sigma; i = 1 N opt p i
s.t. 0<p i≤p max,1≤i≤N opt(2)
&gamma; 0 &le; | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Wherein, N optbest of breed s *in antenna number, γ 0be the lowest signal-to-noise requirement of mobile terminal, the lowest bit error rate according to mobile terminal calculates;
For above-mentioned optimization problem, Lagrangian constant method is utilized to obtain the transmitted power p of first transmitting antenna 1:
p 1 = h 1 2 u - &sigma; n 2 ( &Sigma; i = 1 N opt h i 2 ) 2 , - - - ( 3 )
u = exp { w ( 1 e&sigma; n 2 ( N opt &times; p C &Sigma; i = 1 N opt h i 2 - &sigma; n 2 ) ) + 1 + ln &sigma; n 2 } ,
Wherein, exp (x) is exponential function, and w (x) is the inverse function of function xexp x;
The power p of all the other transmitting antennas ifor:
p i = h i 2 h 1 2 p 1 .
The invention has the advantages that:
1, in antenna selection, the impaction of partial channel state information that method of the present invention is fed back according to mobile terminal, the group of transmitting antenna is lifted search and be converted to antenna combination search interior among a small circle, the antenna combination obtaining efficiency optimal value with less iterations can be realized, simplify search procedure, significantly reduce the computational complexity of system;
2, in power division, method of the present invention adopts the mode of secondary distribution, simplify assigning process, wherein, in a power division, after obtaining the enclosed power solution of first antenna by utilizing Lagrangian constant method, the performance number of other antennas directly carries out convergent-divergent according to the ratio of respective channels coefficient; In secondary power distributes, by utilizing the bit error rate requirement of mobile terminal, the performance number of adjustment transmitting antenna, makes the signal strength signal intensity of mobile terminal low as far as possible in the claimed range of the error rate, effectively avoid the energy surplus of mobile terminal, achieve the maximum using of system capacity;
3, the method for the present invention's proposition is meeting multiple antennas mobile communication system under the requirement of computational complexity, efficiently avoid the energy surplus of mobile terminal, and the efficiency achieving system maximizes.
Accompanying drawing explanation
Fig. 1 is the communication scheme of distributing antenna system;
Fig. 2 is of the present invention based on the sky line options of efficiency and the flow chart of power distribution method;
Fig. 3 is the antenna selection procedure schematic diagram in method of the present invention;
Fig. 4 is the power allocation procedure schematic diagram in method of the present invention.
Accompanying drawing identifies:
10, distributing antenna system 102, base station 103, distributed antenna unit
104, mobile terminal
Embodiment
As shown in Figure 1, distributing antenna system 10 comprises: base station 102, distributed antenna unit 103 and mobile terminal 104; The number of described base station 102 is 1, and for completing focusing on of data, described base station 102 comprises 4 antennas, but base station 102 is not limited to comprise 4 antennas; The number of described distributed antenna unit 103 is 4, but is not limited to 4, and described each distributed antenna unit 103 has 1 antenna, but is not limited to and only has 1 antenna; The number of described mobile terminal 104 is 3, but is not limited to 3, and described mobile terminal 104 has 1 antenna, but is not limited to and only has 1 antenna.
Described distributed antenna unit 103 is distributed in cell edge, and be connected with base station 102 by band optical fiber at a high speed, the transmitting terminal of common construction system, transmitting antenna is the antenna of described transmitting terminal, its number N t=8.Unify to control by 102 pairs, described base station distributed antenna unit 103, the collaboration communication of base station and distributed antenna unit can be realized, complete the combined transceiving process to mobile terminal.
Below in conjunction with accompanying drawing, the present invention is described in detail.
As shown in Figure 2, a kind of sky line options based on efficiency and power distribution method, specifically comprise the following steps:
Step S1) obtain each mobile terminal send channel condition information, described channel condition information comprises large scale fading information and the channel noise variance of transmitting antenna;
Step S2) according to channel condition information, the channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection; Under the condition that each antenna transmitted power is equal, calculate the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is n before selecting again tt+ 1 transmitting antenna composition transmitting antenna collection, calculates if then for optimal antenna combination, proceed to step 3); Otherwise, then N before selecting tt+ 2 transmitting antenna composition transmitting antenna collection, calculate repeat said process, until the number of transmitting antenna collection equals N t;
As shown in Figure 3, described step S2) specifically comprise:
Step S201) according to the channel condition information distribution situation between the bit error rate requirement of mobile terminal and transmitting antenna, determine the initial ranging number N of transmitting antenna tt, wherein N tt< N t;
Preferably, under the condition lower and easily satisfied at the bit error rate requirement of mobile terminal, when the large scale fading ratio of transmitting antenna is more consistent, N tt=4; When the large scale decline gap of transmitting antenna is larger, N tt=2.
Step S202) channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
The efficiency η that each transmitting antenna combination is corresponding eEbe expressed as:
&eta; EE ( p , s ) = R ( p , s ) p tot ( p , s ) = log 2 ( 1 + | &Sigma; i = 1 N tt s i p i h i | 2 &sigma; n 2 ) &Sigma; i = 1 N tt s i &times; p c + &Sigma; i = 1 N tt s i p i - - - ( 1 )
Wherein, s i∈ 0,1, i=1...N ttrepresent the selection situation of each transmitting antenna in the combination of this transmitting antenna, 0 represents non-selected, and 1 expression is selected; p i, h irepresenting performance number and the large scale decline of i-th transmitting antenna respectively, in order to simplify search procedure, making p i=p max, wherein p maxfor the maximum transmit power of every root antenna; p cit is the circuit power consumption of transmitting antenna; it is channel noise variance; P, s are power allocation vector and sky line options vector respectively, r p, s, p totmomentary output and power consumption in p, s representation unit bandwidth.
Step S203) channel condition of all transmitting antennas is sorted according to quality, N before selecting tt+ 1 transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
Step S204) judge whether set up, if judged result is affirmative, best antenna combination is proceed to step S206); Otherwise, proceed to step 205);
Step S205) judge N tt+ 1=N twhether set up, if judged result is affirmative, best antenna combination is proceed to step S206), otherwise, make N tt=N tt+ 1, proceed to step S203);
Step S206) obtain the best of breed s of transmitting antenna *, antenna selection procedure terminates.
Step S3) transmit power assignment is carried out to the transmitting antenna in optimal antenna combination;
As shown in Figure 4, described step S3) specifically comprise:
Step S301) first time transmit power assignment is carried out to the transmitting antenna in optimal antenna combination;
Based on transmitting terminal and mobile terminal to the restriction of antenna power, efficiency η eEmaximization problems can be expressed as:
max &eta; EE ( p ) = log 2 ( 1 + | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2 ) N opt &times; p c + &Sigma; i = 1 N opt p i
s.t. 0<p i≤p max,1≤i≤N opt(2)
&gamma; 0 &le; | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Wherein, N optbest of breed s *in transmitting antenna number, γ 0be the lowest signal-to-noise requirement of mobile terminal, the lowest bit error rate according to mobile terminal calculates.
For above-mentioned optimization problem, utilize Lagrangian constant method can obtain the transmitted power p of first antenna 1,
p 1 = h 1 2 u - &sigma; n 2 ( &Sigma; i = 1 N opt h i 2 ) 2 , - - - ( 3 )
u = exp { w ( 1 e&sigma; n 2 ( N opt &times; p C &Sigma; i = 1 N opt h i 2 - &sigma; n 2 ) ) + 1 + ln &sigma; n 2 } ,
Wherein, exp (x) is exponential function, and w (x) is the inverse function of function xexp x;
The power p of all the other transmitting antennas ifor:
p i = h i 2 h 1 2 p 1 ;
Step S302) utilize step S301) in the antenna power value that obtains, the signal strength signal intensity γ of estimation mobile terminal 1:
&gamma; 1 = | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Step S303) calculate γ 1with the lowest signal intensity γ needed for mobile terminal 0ratio γ p;
Step S304) with γ pfor zooming parameter, the performance number of adjustment transmitting antenna, obtains the transmitted power of the best of each transmitting antenna:
p i * = p i / &gamma; p - 1,1 &le; i &le; N opt .
More than show and describe general principle of the present invention and principal character and advantage of the present invention.The technical staff of the industry should understand; the present invention is not restricted to the described embodiments; what describe in above-described embodiment and specification just illustrates principle of the present invention; without departing from the spirit and scope of the present invention; the present invention also has various changes and modifications, and these changes and improvements all fall in the claimed scope of the invention.Application claims protection range is defined by appending claims and equivalent thereof.

Claims (4)

1., based on sky line options and the power distribution method of efficiency, said method comprising the steps of:
Step S1) obtain each mobile terminal send channel condition information, described channel condition information comprises large scale fading information and the channel noise variance of transmitting antenna;
Described transmitting antenna is the antenna of transmitting terminal, and number is N t; The distributed antenna unit that described transmitting terminal is base station in distributing antenna system and is connected with base station;
Step S2) according to channel condition information, the channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection; Under the condition that each antenna transmitted power is equal, calculate the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is n before selecting again tt+ 1 transmitting antenna composition transmitting antenna collection, calculates if then for optimal antenna combination, proceed to step 3); Otherwise, then N before selecting tt+ 2 transmitting antenna composition transmitting antenna collection, calculate repeat said process, until the number of transmitting antenna collection equals N t;
Step S3) adopt the mode of secondary distribution to carry out transmit power assignment to the transmitting antenna in optimal antenna combination, in first time power division, obtained the enclosed power solution of first transmitting antenna by Lagrangian constant method, the performance number of other transmitting antenna calculates according to the ratio of respective channels coefficient; In second time power division, utilize the bit error rate requirement of mobile terminal, the performance number of adjustment transmitting antenna, makes the signal strength signal intensity of mobile terminal minimum within the scope of bit error rate requirement.
2. the sky line options based on efficiency according to claim 1 and power distribution method, is characterized in that, described step S2) specifically comprise:
Step S201) according to the channel condition information distribution situation between the bit error rate requirement of mobile terminal and transmitting antenna, determine the initial ranging number N of transmitting antenna tt, wherein N tt< N t;
Step S202) channel condition of all transmitting antennas is sorted according to quality, N before selecting ttindividual transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
The efficiency η that each transmitting antenna combination is corresponding eEbe expressed as:
&eta; EE ( p , s ) = R ( p , s ) p tot ( p , s ) = log 2 ( 1 + | &Sigma; i = 1 N tt s i p i h i | 2 &sigma; n 2 ) &Sigma; i = 1 N tt s i &times; p c + &Sigma; i = 1 N tt s i p i - - - ( 1 )
Wherein, s i∈ 0,1, i=1 ... N ttrepresent the selection situation of each transmitting antenna in the combination of this transmitting antenna, 0 represents non-selected, and 1 expression is selected; p i, h irepresent performance number and the large scale decline of i-th transmitting antenna respectively, make p i=p max, wherein p maxfor the maximum transmit power of every root antenna; p cit is the circuit power consumption of transmitting antenna; it is channel noise variance; P, s are power allocation vector and sky line options vector respectively, r p, s, p totmomentary output and power consumption in p, s representation unit bandwidth;
Step S203) channel condition of all transmitting antennas is sorted according to quality, N before selecting tt+ 1 transmitting antenna composition transmitting antenna collection, calculates the efficiency optimal value of all transmitting antenna combinations in transmitting antenna collection the antenna combination of its correspondence is
Step S204) judge whether set up, if judged result is affirmative, best antenna combination is proceed to step S206); Otherwise, proceed to step 205);
Step S205) judge N tt+ 1=N twhether set up, if judged result is affirmative, best antenna combination is proceed to step S206), otherwise, make N tt=N tt+ 1, proceed to step S203);
Step S206) obtain the best of breed s of transmitting antenna *, antenna selection procedure terminates.
3. the sky line options based on efficiency according to claim 1 and power distribution method, is characterized in that, described step S3) specifically comprise:
Step S301) first time transmit power assignment is carried out to the transmitting antenna in optimal antenna combination: the enclosed power solution being obtained first transmitting antenna by Lagrangian constant method, the performance number of other transmitting antenna calculates according to the ratio of respective channels coefficient;
Step S302) utilize step S301) in the antenna power value that obtains, the signal strength signal intensity γ of estimation mobile terminal 1:
&gamma; 1 = | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Step S303) calculate γ 1with the lowest signal intensity γ needed for mobile terminal 0ratio γ p;
Step S304) with γ pfor zooming parameter, the performance number of adjustment transmitting antenna, obtains the transmitted power of the best of each transmitting antenna:
p i * = p i / &gamma; p - 1,1 &le; i &le; N opt .
4. the sky line options based on efficiency according to claim 1 and power distribution method, is characterized in that, described step S301) be specially:
Based on transmitting terminal and mobile terminal to the restriction of antenna power, efficiency η eEmaximization problems be expressed as:
max &eta; EE ( p ) = log 2 ( 1 + | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2 ) N opt &times; p c + &Sigma; i = 1 N opt p i
s.t.0<p i≤p max,1≤i≤N opt(2)
&gamma; 0 &le; | &Sigma; i = 1 N opt p i h i | 2 &sigma; n 2
Wherein, N optbest of breed s *in antenna number, γ 0be the lowest signal-to-noise requirement of mobile terminal, the lowest bit error rate according to mobile terminal calculates;
For above-mentioned optimization problem, Lagrangian constant method is utilized to obtain the transmitted power p of first transmitting antenna 1:
p 1 = h 1 2 u - &sigma; n 2 ( &Sigma; i = 1 N opt h i 2 ) 2 , u = exp { &omega; ( 1 e &sigma; n 2 ( N opt &times; p C &Sigma; i = 1 N opt h i 2 - &sigma; n 2 ) ) + 1 + ln &sigma; n 2 } , - - - ( 3 )
Wherein, exp (x) is exponential function, and ω (x) is the inverse function of function x exp x;
The power p of all the other transmitting antennas ifor:
p i = h i 2 h 1 2 p 1 .
CN201510167300.3A 2015-04-10 2015-04-10 A kind of day line options and power distribution method based on efficiency Expired - Fee Related CN104902574B (en)

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CN112260737B (en) * 2020-10-16 2021-09-10 东南大学 Multi-beam satellite communication robust precoding method with total energy efficiency and minimum energy efficiency balanced

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