CN109219089A - Wirelessly take the maximum capacity transmission method of user oriented fairness in energy bilateral relay network - Google Patents
Wirelessly take the maximum capacity transmission method of user oriented fairness in energy bilateral relay network Download PDFInfo
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- CN109219089A CN109219089A CN201810946015.5A CN201810946015A CN109219089A CN 109219089 A CN109219089 A CN 109219089A CN 201810946015 A CN201810946015 A CN 201810946015A CN 109219089 A CN109219089 A CN 109219089A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W28/00—Network traffic management; Network resource management
- H04W28/16—Central resource management; Negotiation of resources or communication parameters, e.g. negotiating bandwidth or QoS [Quality of Service]
- H04W28/18—Negotiating wireless communication parameters
- H04W28/22—Negotiating communication rate
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
- H04W52/04—TPC
- H04W52/18—TPC being performed according to specific parameters
- H04W52/26—TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
- H04W52/267—TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the information rate
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
- H04W52/04—TPC
- H04W52/38—TPC being performed in particular situations
- H04W52/46—TPC being performed in particular situations in multi hop networks, e.g. wireless relay networks
Abstract
The present invention proposes a kind of maximum capacity transmission method for wirelessly taking user oriented fairness in energy bilateral relay network, and the complete information transmission of system was divided into for the first, second, third transmission stage by this method, and time scale shared by each stage is respectively Δ1、Δ2And Δ3;It is transmitted the stage first, user node S sends signal to relay node R;It is transmitted the stage second, user node D sends signal to relay node R;It is transmitted the stage in third, the signal of two users' node received is proportionally divided into two parts by relaying respectively, and a part of signal enters energy capture unit, and another part then enters decoding unit;By the transmission rate of the optimized power ration of division and adaptive adjustment S and D, the present invention can adaptive different fairness require, channel gain condition and transmission time ratio, realize fairness capacity maximization of utility.Fairness capacity effectiveness can be significantly improved with two scheme comparison of transmission rates, the present invention such as the segmentation of equal proportion power and S, D.
Description
Technical field
The present invention relates to the energy bilateral relay network communications field is wirelessly taken, especially a kind of wirelessly take can bilateral relay network
The maximum capacity transmission method of middle user oriented fairness.
Background technique
It is frequently necessary to exchange information between node in practical application scene, bi-directional relaying is as a kind of letter simply easily realized
Switching technology is ceased, there is highly important researching value.In bi-directional relaying transmission, relay the source of acquisition-destination node information
It decoded, amplified respectively, compression processing, then forwarding information to source, at destination node.Correlative study is the result shows that decoding formula
Bi-directional relaying has advantage easy to operate, implementation complexity is low compared with compression forward pass formula;Meanwhile it relaying compared to amplifying type due to putting
The noise that is mingled with greatly and the case where extra consumption energy, decoding formula relaying can filter out noise to avoid energy dissipation, and be
System brings biggish handling capacity.Therefore it is handled at relay node of the present invention using decoding formula.
In addition, wireless signal has takes energy characteristic certainly.In other words, the wireless signal that source, destination node are sent to relay node
Both it may be used as traditional information transmission, it can also be as the carrier of wireless energy.Accordingly, it both can choose at relay node
Decode the signal received;Also it may be selected from energy is extracted in the signal received and storage in case needed for subsequent transmission;Or by signal
Segmentation, a part are used for signal interpretation, and another part is used for Energy extraction.It is outstanding based on the signal splitting scheme for wirelessly taking energy technology
It is suitable for nodes without fixed energies supply (as passive bus) but needs to transmit the scene of information, especially when relaying is nothing
When source node, it is necessary to use power splitting scheme to obtain utilisable energy, and assist a pair of of source, destination node transmission information.At present
Energy bilateral relay network is wirelessly taken to concentrate on: 1) energy dividing method identical traffic rate (i.e. rate absolutely fair) under, 2)
The energy dividing method of fairness is not considered.Research at present is all without solution when two users' node extremely distance of relaying, different sections
When the time difference of point transmission signal, how to divide the signal power of two users' node sending and the transmission rate of allotment two users
To realize the power system capacity maximization problems under the requirement of different transmission rates fairness.It is fair that therefore, it is necessary to a kind of user orienteds
The maximum capacity transmission method of property.
Summary of the invention
Goal of the invention: in order to solve the above technical problems, the present invention propose it is a kind of wirelessly take can in bilateral relay network towards
The maximum capacity transmission method of user fairness.
Technical solution: technical solution provided by the invention are as follows:
Wirelessly take the maximum capacity transmission method of user oriented fairness in energy bilateral relay network, the bi-directional relaying
Network includes user node S, user node D and relay node R, and relay node R is passive bus;The method comprising the steps of:
(1) defining the whole process occupied time that user node S, D pass through relay node R interactive information is T;By T
Sequentially in time, using accounting ratio as Δ1、Δ2、Δ3It is divided into the first, second, third transmission stage, Δ1+Δ2+Δ3=1,
Δ1>=0, Δ2>=0, Δ3>=0 wherein:
In first transmission stage, user node S sends signal to relay node R;
In second transmission stage, user node D sends signal to relay node R;
In the third transmission stage, it is two that signal transmitted by user node S and user node D is divided to by relay node R respectively
Part, a part are used for signal interpretation, and another part is used for Energy extraction, and relay node R carries out signal using the energy extracted
Decoding, and S and D will be broadcast to again after decoding result exclusive or;Defining relay node R and receiving the signal from S and D is respectively ys
And yd, ysIn be used for signal interpretation power and ysThe ratio of general power is δ1, ydIn be used for signal interpretation power and ydTotal work
The ratio of rate is δ2;δ1, δ2∈[0,1];
(2) link state for transmitting the stage according to three provides the energy of S and D consumption and the constraint item up to transmission rate
Part, and to maximize system fairness utility function as target problem, construct user node transmission rate and the power ration of division
Optimization problem model:
Wherein, R1、R2Respectively user's transmission rate of user node S and D,α indicates public
Levelling is horizontal, μα() is fairness utility function,
Indicate the signal-to-noise ratio of the first transmission stage S-R link, zsIndicate channel slow fading and path damage in the first transmission stage S-R link
The decaying of signal power caused by consumption is common, pnFor channel white Gaussian noise variance;Indicate the second transmission stage R-D link
Signal-to-noise ratio, zdIndicate channel slow fading and path loss caused signal power decaying jointly in the second transmission rank chain D-R;
WithRespectively indicate the signal-to-noise ratio of third transmission stage R-D link, R-S link, ErIndicate the total energy that relay node R is captured
Amount;
(3) globally optimal solution is sought by solving the lagrange duality problem of above problem P1, obtains global optimum
User's transmission rateWith the power ration of division
Further, described problem P1 method for solving comprising steps of
S1: the corresponding Lagrange duality function of P1 is calculated are as follows:
Wherein, λ1、λ2、λ3、λ4、λ5And λ6For Lagrange multiplier;
S2: lagrange duality problem is indicated are as follows:
S3: P2 is decomposed into internal layer and outer layer;Interior layer problems are fixed Lagrange multiplier when being particular value, seek as follows
Optimization problem:
Minimization problem outside outer layer solution, i.e., the R obtained according to internal layer Optimization Solution1,R2,δ1,δ2 It solves such as
Lower optimization problem:
It is solved according to the sequential iteration of outer layer after first internal layer;Wherein, the minimization problem of outer layer is declined with efficient gradient
Method solves, and the maximization problems of internal layer solves as follows:
It is required according to KKT condition:
Solution obtains δ1And δ2Globally optimal solution:
Wherein, (a)+Indicate negated negative operation, i.e., as a >=0, (a)+=a;Otherwise, (a)+=0;
Similarly, pass through solutionWithObtain R1And R2Globally optimal solution:
The utility model has the advantages that compared with prior art, present invention has the advantage that
The present invention, can adaptively not by the transmission rate of the optimized power ration of division and adaptive adjustment two users
With fairness requirement, channel gain condition and transmission time ratio, fairness capacity maximization of utility is realized.
Detailed description of the invention
Fig. 1 is the maximum capacity transmission side of the present invention for wirelessly taking user oriented fairness in energy bilateral relay network
The flow chart of method;
Fig. 2 is signal mode schematic diagram designed by the present invention;
Fig. 3 is power parted pattern schematic diagram designed by the present invention;
Fig. 4 be S, D of the present invention the optimal power ration of division and optimal transmission rate with fairness parameter situation of change;
Fig. 5 (a), (b), (c) are the present invention under the transmission time ratio situation of different phase, and the maximum that system can obtain gulps down
The amount of spitting Simulation results figure;Wherein, the transmission time ratio of Fig. 5 (a) isThe transmission time of Fig. 5 (b)
Ratio isThe transmission time ratio of Fig. 5 (c) is
Fig. 6 is variation Simulation results figure of the maximum throughput of the present invention with intermediate position;
Fig. 7 is the variation Simulation results that maximum throughput of the present invention changes with time scale shared by each transmission stage
Figure;Wherein, Fig. 7 (a) is the variation Simulation results figure that maximum throughput of the present invention transmits phases-time ratio with third;Figure
7 (b) be maximum throughput of the present invention with the variation Simulation results figure of the first and second transmission time ratio.
Specific embodiment
The present invention will be further explained with reference to the accompanying drawing.
It is different to solve the distance when two users' node to relaying, the time of different node-node transmission signals in the prior art
When, how to divide the signal power of two users' node sending and the transmission rate of allotment two users to realize different transmission rates public affairs
Power system capacity maximization problems under levelling requirement, it is public that the present invention proposes that one kind wirelessly takes user oriented in energy bilateral relay network
The maximum capacity transmission method of levelling.
Technical solution of the present invention is elaborated with reference to the accompanying drawing.
The present embodiment establishes signal mode as shown in Figure 2, and signal mode includes user node S, Yong Hujie
Point D and relay node R, relay node R are passive bus.
Fig. 1 show flow chart of the invention, the present invention the following steps are included:
(1) defining the whole process occupied time that user node S, D pass through relay node R interactive information is T;By T
Sequentially in time, using accounting ratio as Δ1、Δ2、Δ3It is divided into the first, second, third transmission stage, Δ1+Δ2+Δ3=1.
In first transmission stage, user node S sends signal to relay node R;Remember the signal x that S is sents, by its power
Unit turns to 1;The signal passes through channel fading and path attenuation, final to arrive at time-varying at relaying are as follows:
Wherein, hsIndicate the Rayleigh slow fading gain of S-R channel;(d1)-βIndicate the path loss of S-R channel, d1With β points
It Wei not S-R transmission range and path loss index;nsIndicate the white Gaussian noise of S-R channel, mean value 0, variance pn, i.e.,By channel slow fading and path loss, caused signal power decaying is denoted as z jointlys=| hs|2(d1)-β;
In second transmission stage, user node D sends signal to relay node R;The letter of the power unit sent from D
Number xd, through Δ2When T seconds transmission times are reached at relaying, become:
Wherein, hdIndicate the Rayleigh slow fading gain of D-R channel, d2For D-R transmission range, ndIndicate the Gauss of D-R channel
White noise, by channel slow fading and path loss jointly caused by signal power decaying be denoted as zd=| hd|2(d2)-β;
In the third transmission stage, signal carries out power segmentation, i.e. a part of signal enters energy capture unit, and another
Part then enters decoding unit, and power parted pattern is as shown in Figure 3;Set ysSignal own power is 1, ysSignal is divided into
Two parts: a part of entering signal decoding unit remembers that the part signal energy proportion is δ1∈[0,1];Another part energy is then
By energy capture elements capture, remember that the portion of energy ratio isThen enter the signal of decoder are as follows:
Into the signal of energy capture unit are as follows:
Wherein, η is energy conversion efficiency;
From ysIn the energy that captures are as follows:
The energy will be broadcasted by the relaying signal that all consumption is used for the phase III;
Similarly, ydSignal is also partitioned into two parts: a part of entering signal decoding unit remembers the part signal energy
Ratio is δ2∈[0,1];Another part energy remembers that the portion of energy ratio is then by energy capture elements capture
Set ydSignal own power is 1;Then to ydAfter signal shunts, into the signal of decoder are as follows:
Into the signal of energy capture unit are as follows:
From ydIn the energy that captures are as follows:
Relay the gross energy captured are as follows:
Relaying will be from ys1And yd1In point recover xsAnd xd, by the two by obtaining signal x after XOR operationr, that is, have:
Relaying is in phase III, i.e. Δ3In T seconds time, by xrIt is broadcast to S and D, broadcasting power pr=Er/Δ3;
Assuming that Rayleigh channel reciprocity, i.e. S (D)-R are identical as the Rayleigh channel gain of R-S (D), then the signal at repeat broadcast to S and D
Energy is respectively zsErAnd zdEr。
(2) setting S and D is respectively with R1And R2Speed rates, then the energy of the consumption obtained according to the link state in each stage
Amount and each node are indicated up to the constraint condition of transmission rate are as follows:
Wherein, Indicate the signal-to-noise ratio of the first transmission stage S-R link;Indicate second
The signal-to-noise ratio of transmission stage R-D link;WithRespectively indicate the noise of third transmission stage R-D link, R-S link
Than.
(3) according to the difference of each channel gain and transmission time ratio, under the limitation of constraint condition, it is to maximize
System fairness utility function is the problem of target optimizes the transmission rate and the power ration of division of node expression are as follows:
Wherein, α is level of fairness, μα() is fairness utility function,
The objective function of P1 is convex function, and constraint condition (11)-(16) are convex constraint.Therefore, P1 is that convex optimization is asked
Topic.The transmission rate and the power ration of division of optimal node are asked by solving the lagrange duality problem of above-mentioned convex problem
Take globally optimal solution.
The specific solution of the lagrange duality problem of the transmission rate and power ration of division of the optimal node
Method is as follows:
The corresponding Lagrange duality function of P1 are as follows:
Wherein, λ1、λ2、λ3、λ4、λ5And λ6Respectively formula (11)~(16) Lagrange multiplier;
Accordingly, lagrange duality problem can indicate are as follows:
P2 can be analyzed to following two layers;Interior layer problems are fixed Lagrange multiplier when being particular value, seek optimizing as follows
Problem:
Outer layer then concentrates the minimization problem outside solving, i.e., the R obtained according to internal layer Optimization Solution1,R2,δ1,Further solve following optimization problem:
Above two layers of iteration carries out;The minimization problem of outer layer can be used efficient gradient descent method to solve, the maximum of internal layer
It is as follows to change problem solving:
KKT condition requires formula (17) about δ1And δ2Partial derivative should be 0, then have:
Then it can obtain:
Wherein, (a)+Indicate negated negative operation, i.e., as a >=0, (a)+=a;Otherwise, (a)+=0;
Similarly, pass through solutionWithR can be obtained1And R2Globally optimal solution, be expressed as follows:
Technical effect of the invention is further illustrated below by specific embodiment and related experiment parameter:
Given concrete application background is as follows:
Setting distance between S-D, as 10 meters, noise power is -60dBm, β=3, η=0.6, hs=hd=-10dB.Fig. 4,
Fig. 5 (a), Fig. 5 (b), Fig. 5 (c), Fig. 6, Fig. 7 (a) and Fig. 7 (b) are results of experimental operation.
As Fig. 4 gives Δ1=Δ2=Δ3=1/3 and d1、d2When value changes, Matlab software is according to above-mentioned parameter meter
The optimal power ration of division of obtained S, D and optimal transmission rate with fairness parameter situation of change.It can by observation
Know under different level of fairness, R1And R2Optimal solution be their boundary value, this from side demonstrate the correct of algorithm and
Reasonability.Meanwhile Fig. 4 gives under different level of fairness, R1And R2Best value with α situation of change.It can be with indirect observation
To the increase with α, system goodput (R1+R2) reduce.
Fig. 5 (a), Fig. 5 (b) and Fig. 5 (c), which give, works as Δ3Value respectivelyWhen, combined optimization R1,R2,δ1,Maximum throughput that system can obtain, R1=R2Constrain maximum throughput, δ that lower system can obtain1=δ2Constrain lower system
The maximum throughput curve that can be obtained.It can be seen that combined optimization R from above-mentioned curve comparison1,R2,δ1,δ2,System can obtain
Maximum throughput be greater than the lower maximum of remaining two kinds constraints up to handling capacity, thus the superiority of scheme required by demonstrating.
Fig. 6 gives α=0 (note: system fairness utility function when α=0 is system goodput), Δ1、Δ2
And Δ3When taking different value, maximum throughput obtained by system with intermediate position variation.After being located in as can be seen that
When the middle position S-D, throughput of system is minimum.
Fig. 7 (a) gives α=0, d1=d2, Δ1=Δ2When, system can be obtained maximum throughput and transmit with third
The curve of the variation of time scale shared by stage;Fig. 7 (b) gives α=0, d1=d2When, maximum throughput obtained by system with
The change curve of first and second transmission time ratio.It can be seen that 1) fix Δ1/Δ2When, increase Δ in a certain range3(i.e.
The time scale in repeat broadcast stage) total throughout can be improved, but work as Δ3After reaching certain value, continue to increase its numerical value, then
It will cause the reduction of overall system throughput;2) work as Δ3When for fixed value, total throughout is first with Δ2/Δ1Increase and increase
Greatly;Work as Δ2> Δ1When, continue to increase Δ2/Δ1It can cause the decline of total throughout.
The above is only a preferred embodiment of the present invention, it should be pointed out that: for the ordinary skill people of the art
For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered
It is considered as protection scope of the present invention.
Claims (2)
1. wirelessly taking the maximum capacity transmission method of user oriented fairness in energy bilateral relay network, which is characterized in that institute
Stating bilateral relay network includes user node S, user node D and relay node R, and relay node R is passive bus;This method packet
Include step:
(1) defining the whole process occupied time that user node S, D pass through relay node R interactive information is T;By T according to
Time sequencing, using accounting ratio as Δ1、Δ2、Δ3It is divided into the first, second, third transmission stage, Δ1>=0, Δ2>=0, Δ3≥
0, Δ1+Δ2+Δ3=1, in which:
In first transmission stage, user node S sends signal to relay node R;
In second transmission stage, user node D sends signal to relay node R;
In the third transmission stage, signal transmitted by user node S and user node D is respectively two parts by relay node R points,
A part is used for signal interpretation, and another part is used for Energy extraction, and relay node R carries out signal interpretation using the energy extracted,
And S and D will be broadcast to again after the signal interpretation result exclusive or of user node S and user node D;Relay node R is defined to receive
Signal from S and D is respectively ysAnd yd, ysIn be used for signal interpretation power and ysThe ratio of general power is δ1, ydIn be used for
The power and y of signal interpretationdThe ratio of general power is δ2;δ1, δ2∈[0,1];
(2) link state for transmitting the stage according to three provides the energy of S and D consumption and the constraint condition up to transmission rate,
And to maximize system fairness utility function as target problem, user node transmission rate and the optimization of the power ration of division are constructed
Problem model:
Wherein, R1、R2Respectively user's transmission rate of user node S and D,α indicates fairness
Level, μα() is fairness utility function, Table
Show the signal-to-noise ratio of the first transmission stage S-R link, zsIndicate channel slow fading and path loss in the first transmission stage S-R link
The decaying of signal power caused by common, pnFor channel white Gaussian noise variance;Indicate the letter of the second transmission stage R-D link
It makes an uproar and compares, zdIndicate channel slow fading and path loss caused signal power decaying jointly in the second transmission rank chain D-R;WithRespectively indicate the signal-to-noise ratio of third transmission stage R-D link, R-S link, ErIndicate the total energy that relay node R is captured
Amount;
(3) globally optimal solution is sought by solving the lagrange duality problem of above problem P1, obtains the use of global optimum
Family transmission rateWith the power ration of division
2. the maximum capacity transmission according to claim 1 for wirelessly taking user oriented fairness in energy bilateral relay network
Method, which is characterized in that the method for solving of described problem P1 comprising steps of
S1: the corresponding Lagrange duality function of P1 is calculated are as follows:
Wherein, λ1、λ2、λ3、λ4、λ5And λ6For Lagrange multiplier;
S2: lagrange duality problem is indicated are as follows:
S3: P2 is decomposed into internal layer and outer layer;Interior layer problems are fixed Lagrange multiplier when being particular value, seek optimizing as follows
Problem:
Minimization problem outside outer layer solution, i.e., the R obtained according to internal layer Optimization Solution1,R2,δ1,It solves as follows
Optimization problem:
It is solved according to the sequential iteration of outer layer after first internal layer;Wherein, the minimization problem of outer layer is asked with efficient gradient descent method
Solution, the maximization problems of internal layer solve as follows:
It is required according to KKT condition:
Solution obtains δ1And δ2Globally optimal solution:
Wherein, (a)+Indicate negated negative operation, i.e., as a >=0, (a)+=a;Otherwise, (a)+=0;
Similarly, pass through solutionWithObtain R1And R2Globally optimal solution:
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