CN106413099B - The optimal power allocation method of full duplex cooperative relay network - Google Patents

The optimal power allocation method of full duplex cooperative relay network Download PDF

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CN106413099B
CN106413099B CN201610827925.2A CN201610827925A CN106413099B CN 106413099 B CN106413099 B CN 106413099B CN 201610827925 A CN201610827925 A CN 201610827925A CN 106413099 B CN106413099 B CN 106413099B
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relay node
noise ratio
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CN106413099A (en
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刘毅
许笑微
杨臣
吴炯
张海林
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Xidian University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/14Two-way operation using the same type of signal, i.e. duplex
    • 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

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  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Radio Relay Systems (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

The present invention discloses a kind of optimal power allocation method of full duplex cooperative relay network, and it is limited low with reliability mainly to solve the problems, such as that the prior art ignores practical application scene caused by tie link progress resource allocation in full duplex cooperative relay network.Its technical solution is: 1) utilizing Minimum Mean Squared Error estimation channel parameter;2) the reception signal of relay node and destination node is obtained according to each channel parameter;3) Signal to Interference plus Noise Ratio is determined according to reception signal;4) relationship of capacity and Signal to Interference plus Noise Ratio is established;5) relationship for passing through capacity and Signal to Interference plus Noise Ratio, establishes the objective function for maximizing Signal to Interference plus Noise Ratio;6) theoretical according to minimum value is maximized, construction fresh target function relevant to relay power;7) optimal power of relay node and source node is obtained to relay power derivation using fresh target function.The present invention can be used in transmission range network of different sizes, and resource utilization and system performance are promoted under conditions of resource-constrained.

Description

The optimal power allocation method of full duplex cooperative relay network
Technical field
The invention belongs to fields of communication technology, are related to optimal power allocation method, can be used for full duplex cooperative relay network.
Background technique
Relaying is by the reception and forwarding to data-signal, to expand the distance of network transmission.In most beginning one's study It is that in a half-duplex mode, half-duplex relay cooperation communication system that can be traditional is sent and received using orthogonal time slot after network Signal, significant wastage radio spectrum resources, and full duplex relaying collaboration communication with the multiplication of its channel capacity and promotes frequency spectrum and provides Source utilization rate has obtained the extensive concern of academia.However full duplex relaying system has that intrinsic is exactly self-interference, by It is directly proportional in the power of self-interference and the power of relaying, so one reasonable power allocation scheme of research is conducive to lifting system Performance.
In cooperation communication system, since it can be assisted while cooperative diversity technique requires and transmits information between node Its node-node transmission information, will necessarily generate the consumption of the resources such as additional bandwidth, time slot and power, thus with no collaboration communication phase Than, collaboration communication with greater need for each user power and bandwidth take reasonably optimization to distribute, just can guarantee with lower complexity Degree and higher resource utilization go to obtain good system performance.
In today of resource requirement growing tension, the research of resource allocation problem is being continued always.Current resource point With mainly in the assignment problem of power, if limited system resources, how power distribution is reasonably carried out, preferably had Helping lifting system performance just becomes the emphasis of research.Source node and relay node use average power allocation in relay system Method, be easier to realize, but since there are the influences of system channel quality and time variation, should in this way can not Fully utilize system resource and reduction overhead, it is therefore desirable to study optimal power distribution method.
Very various researchs have been carried out in the power distribution method of cooperation communication system at present, and most of is in three sections In the system of point double bounce, while ignoring the influence of tie link or directly being analyzed tie link as interference, in selection After establishing model under decode-forward protocol or under amplification forwarding agreement, the starting point of research is generally comprised: the capacity of system, Error rate of system, outage probability, computation complexity and overhead etc., the method for salary distribution include:
L) transmitting terminal power uses independent power distribution, and this mode is all to be distributed whole transmission powers by transmitting terminal To source node, it is only applicable to small-sized short range network, network transmission distance can not be expanded.
2) transmitting terminal power is distributed using constant power, and this mode can be simply obtained very much centainly by constant power distribution Power system capacity under channel status, but power resource cannot be efficiently used.
3) transmitting terminal power uses optimal power allocation, and this mode is by minimizing outage probability, maximum channel Capacity minimizes the bit error rate and sets out and consider power distribution, and the method for salary distribution is with respect to can efficiently use power money described in the above two Source, but since which is under single power limited or general power limited situation while to ignore the optimum allocation side of tie link Formula, and do not consider that tie link is under systematic influence in the case where single power and general power are combined and different size of network Best practice, thus cause application scenarios limited, it is not able to satisfy in different size of real network for resource optimal allocation Promote the demand of network performance.
Summary of the invention
It is an object of the invention to be directed to the deficiency of above-mentioned prior art, propose a kind of full duplex cooperative relay network most Excellent power distribution method, with single power and general power joint it is limited lower for different size of full duplex cooperative relay network into Row optimal power allocation promotes the service quality of communication and the reliability of handling capacity and cooperation communication system.
To achieve the above object, technical solution of the present invention includes the following:
(1) least mean-square error channel estimation methods are used, respectively the channel parameter h of estimation source node to relay nodeSR、 Channel parameter h of the relay node to destination nodeRD, source node to destination node channel parameter hSDBelieve with relay node loop Road parameter hRR
(2) source node is modulated to signal is sent, and modulated signal x (i) is sent to relay node and purpose section Point, relay node, which obtains, receives signal g (i), and destination node, which obtains, receives signal d (i);
(3) it is recompiled again after relay node demodulates total reception signal r (i), and by the signal t after coding (i) it is sent to destination node, destination node obtains final reception signal:
Y (i)=d (i)+hRDt(i)+nD(i),
Wherein, nDIt (i) is the Gaussian noise of purpose node, obeying mean value is 0, variance σD 2Multiple Gauss distribution;
(4) relational expression for maximizing system channel capacity and system Signal to Interference plus Noise Ratio is established:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
Wherein, C is system channel capacity, and B is system bandwidth, PsFor the transmission power of source node, PrFor the hair of relay node Penetrate power, PtFor the general power upper limit value of system, Pmax=wPtFor single upper limit of the power value, w is to control single power maximum to limit range Coefficient, 0 < w <, 1,0 < Ps+Pr≤PtFor the constraint condition that system total power is limited, 0 < Ps≤PmaxFor source node power by The constraint condition of limit, 0 < Pr≤PmaxFor the constraint condition of relay node power limited;γ is system Signal to Interference plus Noise Ratio, value root It is determined according to used network:
γ=min { γ in network of the tie link as interference signalSRRD,For relay node pair The Signal to Interference plus Noise Ratio of source node,It is purpose node to the Signal to Interference plus Noise Ratio of relay node, wherein ksrIt is source node in Channel gain, k after noderdChannel gain, k for relay node to destination nodesdFor the channel of source node to destination node Gain and krrFor relay node loop channel gain;
γ=min { γ in network of the tie link as useful signalSRSDRD,For relaying Signal to Interference plus Noise Ratio of the node to source node, γSD=ksdPsIt is purpose node to the Signal to Interference plus Noise Ratio of source node, γRD=krdPrFor the purpose of Signal to Interference plus Noise Ratio of the node to relay node;
(5) it under power-limited condition, according to the relationship for maximizing system channel capacity and system Signal to Interference plus Noise Ratio, establishes most The objective function of bigization Signal to Interference plus Noise Ratio:
5a) for γ=min { γSRRDSystem Signal to Interference plus Noise Ratio, according to maximizing, minimum value is theoretical, obtain only with Relay node power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
5b) for γ=min { γSRSDRDSystem Signal to Interference plus Noise Ratio, according to maximizing, minimum value is theoretical, obtains Only with relay node power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
(6) the fresh target function gamma obtained in (5) is to relaying node power PrDerivation obtains relay node power Pr's Optimal value, further according to the source node power P for maximizing the foundation of minimum value theorysWith relay node power PrRelationship, obtain source section Point power PsOptimal value.
Compared with the prior art, the present invention has the following advantages:
First, the present invention carries out it due to two kinds of situations according to tie link as interference signal and useful signal Optimal power allocation can be flexibly applied to network transmission apart from actual scene of different sizes compared with the prior art.
Second, in the limited situation of resource, the present invention is considered under the single power of joint and general power confined condition most Excellent power distribution improves the utilization rate of limited resources compared to the scene for only considering that single power limited or general power are limited.
Third, compared to half-duplex cooperative relay network, relay node sends and receivees signal in orthogonal timeslots respectively, this Invention is directed to full duplex cooperative relay network, and relay node sends and receivees signal in same time slot, and higher frequency spectrum may be implemented Efficiency promotes the overall performance of cooperative system.
4th, the relay node in collaborative network of the present invention is subtracted using decoding forwarding strategy compared to amplification forwarding strategy Sonic propagation of making an uproar in system, the reliability of lifting system are lacked.
Detailed description of the invention
Fig. 1 is implementation flow chart of the invention;
Fig. 2 is to use system block diagram of the tie link as interference signal in the present invention;
Fig. 3 is to use system block diagram of the tie link as useful signal in the present invention;
Fig. 4 is to use tie link as the channel capacity analogous diagram of interference signal system the present invention;
Fig. 5 is to use tie link as the channel capacity analogous diagram of useful signal system the present invention.
Specific embodiment
Embodiment of the present invention is described in further detail below in conjunction with attached drawing.
Referring to Fig. 2, in this full duplex cooperative relay network, source node and destination node work are in semiduplex mode and all Equipped with an antenna, relay node sends and receivees signal using full-duplex mode simultaneously, and is equipped with two antennas.Source node pair Transmitting signal is modulated, and then sends signal to relay node and destination node in each time slot;Relay node is using decoding Forwarding DF mode is decoded the signal received, then re-encoding forwarding;Destination node is by the way of maximum-ratio combing The signal for receiving tie link and being forwarded by repeated link, due to the long transmission distance of source node and destination node, by road The influence of diameter loss and shadow fading, the signal of tie link transmission is as interference signal.
Referring to Fig. 3, in this full duplex cooperative relay network, source node and destination node work are in semiduplex mode and all Equipped with an antenna, relay node sends and receivees signal using full-duplex mode simultaneously, and is equipped with two antennas.Source node pair Transmitting signal is modulated, and then sends signal to relay node and destination node in each time slot;Relay node is using decoding Forwarding DF mode is decoded the signal received, then re-encoding forwarding;Destination node is by the way of maximum-ratio combing The signal for receiving tie link and being forwarded by repeated link, since the transmission range of source node and destination node is not far, signal Intensity enough destination obtain collaboration diversity, tie link transmission signal as useful signal.
Referring to Fig.1, the present invention is based on the network system of Fig. 2 and 3, the method for realizing optimal power allocation includes the following:
Step 1, system initialization:
Source node, relay node and destination node utilize known transmission signal sequence, pass through least mean-square error channel Estimation method estimates the shock response characteristic of each channel, the channel parameter h including source node to relay nodeSR, relaying section Point arrives the channel parameter h of destination nodeRD, the channel parameter h of source node to destination nodeSD, relay node loop channel parameter hRR
Step 2, source node sends signal to relay node and destination node.
Source node is modulated transmitting signal, while emitting signal x (i) to relay node and destination node, modulation methods QPSK mode or BPSK mode or QAM mode can be used in formula, and relay node receives the signal that source node is sent in i time slot are as follows: g (i)=hSRX (i), destination node receive the signal that source node is sent in i time slot are as follows: d (i)=hSDX (i+ τ), the hair of source node Penetrating power is Pr=E [| t (i) |2];
Wherein, i is integer, i.e. i > 0, and relative time delay of the τ between tie link and repeated link, E is mathematic expectaion.
Step 3, the reception signal and forward signal of relay node.
3a) relay node receives the signal g (i) that source node is sent in i time slot, while receiving relay node itself forwarding Signal f (i) is obtained and is received signal r (i) are as follows: r (i)=g (i)+f (i)+nR(i), wherein nR(i) be relay node receiving end i when The Gaussian noise of gap, obeying mean value is 0, variance σR 2Multiple Gauss distribution;
3b) relay node is decoded, again again by decoded signal using decoding forwarding strategy to signal r (i) is received Coding, obtains encoded signal are as follows: t (i)=r (i-1), and destination node is forwarded it to, the transmission power of relay node is Pr =E [| t (i) |2]。
Step 4, destination node receives signal.
Destination node receives what the signal d (i) from source node was sent with relay node by the way of maximum-ratio combing Signal hRDT (i) obtains final reception signal expression are as follows:
Y (i)=d (i)+hRDt(i)+nD(i);
Wherein, nDIt (i) is the Gaussian noise of purpose node receiving end i time slot, obeying mean value is 0, variance σD 2Multiple height This distribution;D (i) is divided into following two according to transmission range network of different sizes for the received source node signal of purpose node Kind situation:
The first situation is in source node and the biggish network of destination node transmission range, due to path loss and shade The influence of decline, so that signal intensity attenuation, interferes destination node demodulation, so tie link is considered as interference letter Number, i.e. d (i) is the received interference signal of purpose node;
Second situation is the signal of tie link transmission in the little network of source node and destination node transmission range Intensity is helpful to destination node demodulation, collaboration diversity may be implemented, so tie link is considered as useful signal, i.e. d (i) is The received useful signal of destination node.
Step 5, Signal to Interference plus Noise Ratio is determined according to used network.
5a) in network of the tie link as interference signal, relay node is to the Signal to Interference plus Noise Ratio of source nodeDestination node is to the Signal to Interference plus Noise Ratio of relay nodeSystem Signal to Interference plus Noise Ratio is γ=min {γSRRD, wherein ksrChannel gain, k for source node to relay noderdIncrease for the channel of relay node to destination node Benefit, ksdFor the channel gain and k of source node to destination noderrFor relay node loop channel gain;
5b) in network of the tie link as useful signal, relay node is to the Signal to Interference plus Noise Ratio of source nodeDestination node is γ to the Signal to Interference plus Noise Ratio of source nodeSD=ksdPs, Signal to Interference plus Noise Ratio of the destination node to relay node For γRD=krdPr, system Signal to Interference plus Noise Ratio is γ=min { γSRSDRD}。
Step 6, it according to system Signal to Interference plus Noise Ratio γ, establishes system channel capacity and the relational expression of system Signal to Interference plus Noise Ratio is as follows:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
Wherein, C is system channel capacity, and B is system bandwidth, PtFor the general power upper limit value of system, Pmax=wPtFor Dan Gong Rate upper limit value, w are the coefficient for controlling single power maximum limitation range, 0 < w <, 1,0 < Ps+Pr≤PtIt is limited for system total power Constraint condition, 0 < Ps≤PmaxFor the constraint condition of source node power limited, 0 < Pr≤PmaxFor relay node power limited Constraint condition.
Step 7, it according to the relational expression of system channel capacity and Signal to Interference plus Noise Ratio, establishes based on the target for maximizing Signal to Interference plus Noise Ratio Function.
The specific implementation of this step is that maximum capacity problem is transformed into the problem of maximizing Signal to Interference plus Noise Ratio, for difference Transmission network, establish based on maximize Signal to Interference plus Noise Ratio objective function:
7a) γ=min { γ in network of the tie link as interference signalSRRD, it is managed according to minimum value is maximized By working as γSRRDWhen, system Signal to Interference plus Noise Ratio, which is realized, to be maximized, i.e. γ=γSR
7b) γ=min { γ in network of the tie link as useful signalSRSDRD, it is minimum according to maximizing Value is theoretical, works as γSRSDRDWhen, system Signal to Interference plus Noise Ratio, which is realized, to be maximized, i.e. γ=γSR
It is as follows 7c) to finally obtain objective function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
Step 8, foundation and relay node power PrThe relevant fresh target function based on maximization Signal to Interference plus Noise Ratio.
8a) in network of the tie link as interference signal, foundation and relay node power PrIt is relevant to be based on most The fresh target function of bigization Signal to Interference plus Noise Ratio:
8a1) according to γSRRD, obtain the relational expression of source node power Yu relay node power: ksrksdPs 2+ksrPs= krrkrdPr 2+krdPr
8a2) according to the relational expression of source node power and relay node power, the source section indicated with relay node power is obtained Point power form
8a3) the P for obtaining 8a2)sRelational expression substitute into substitute into step 7 objective function in, obtain only with relay node function Rate PrThe relevant fresh target function based on maximization Signal to Interference plus Noise Ratio:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
8b) in network of the tie link as useful signal, foundation and relay node power PrIt is relevant to be based on most The fresh target function of bigization Signal to Interference plus Noise Ratio:
8b1) according to γSRSDRD, obtain the relationship of source node power Yu relay node power: ksrPs-ksdPs= krrkrdPr 2+krdPr+ksdkrrPsPr
8b2) according to the relational expression of source node power and relay node power, the source section indicated with relay node power is obtained Point power form
8b3) the P for obtaining 8b2)sRelational expression substitutes into the objective function of step 7, construction and relay node power PrPhase The fresh target function based on maximization Signal to Interference plus Noise Ratio closed:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
Step 9, the optimal power of relay node and source node is obtained.
9a) in the full duplex relaying network that tie link is considered as interference signal or useful signal, by fresh target function pair PrIn (0, ∞) derivation, system Signal to Interference plus Noise Ratio is obtained with the transmission power P of relay noderIncrease and the characteristic of monotonic increase;
9b) according to 9a) in system Signal to Interference plus Noise Ratio characteristic, relay node transmission power selection meets power constraints Maximum value, i.e. relay node power PrOptimal value.
9c) by PrOptimal value substitute into step 8a2) and source node power 8b2) and relay node power relational expression In, obtain source node power PsOptimal value.
Effect of the invention can be further illustrated by following emulation:
(1) simulated conditions
Modulation system all uses QPSK, if the channel between each node obey mean value be 0, variance be 1 it is quasi-static auspicious Benefit distribution.System bandwidth is B=4kHz, noise power N0=0dBw, each channel gain are respectively ksr=8dB, krd=12dB, ksd=0dB, krr=4dB, general power upper limit value Pt=0:1:10dBw controls the coefficient w=of single power maximum limitation range 0.55, wherein ksrChannel gain, k for source node to relay noderdChannel gain, k for relay node to destination nodesd For the channel gain and k of source node to destination noderrFor relay node loop channel gain.
(2) content and result emulated
Emulation 1: with the method for the present invention and existing average power allocation method, exhaustive search method respectively in tie link Full duplex cooperative relay network as interference signal is emulated, as a result such as Fig. 4.
From fig. 4, it can be seen that the channel capacity curve of the method for the present invention is completely coincident with exhaustive search method, this is demonstrated The accuracy and validity of invention optimum allocation method;Under the conditions of the general power upper limit is consistent, letter that the method for the present invention obtains Road capacity is greater than the channel capacity that average power allocation method obtains, and illustrates that the method for the present invention is substantially better than average power allocation side Method.
Emulation 2: with the method for the present invention and existing average power allocation method, exhaustive search method respectively in tie link Full duplex cooperative relay network as useful signal is emulated, as a result such as Fig. 5.
From fig. 5, it can be seen that the channel capacity curve of the method for the present invention is completely coincident with exhaustive search method, this is demonstrated The accuracy and validity of invention optimum allocation method;Under the conditions of the general power upper limit is consistent, letter that the method for the present invention obtains Road capacity is greater than the channel capacity that average power allocation method obtains, and illustrates that the method for the present invention is substantially better than average power allocation side Method.
Comparison Figure 4 and 5, which can be seen that the method for the present invention, to be applied and obtains in network of the tie link as useful signal Performance, which is substantially better than, to be applied in network of the tie link as interference signal.

Claims (7)

1. a kind of optimal power allocation method of full duplex cooperative relay network, comprising:
(1) least mean-square error channel estimation methods are used, respectively the channel parameter h of estimation source node to relay nodeSR, relaying Channel parameter h of the node to destination nodeRD, source node to destination node channel parameter hSDJoin with relay node loop channel Number hRR
(2) source node is modulated to signal is sent, and modulated signal x (i) is sent to relay node and destination node, in It is obtained after node and receives signal g (i), destination node, which obtains, receives signal d (i);
(3) relay node is decoded to signal r (i) is received using decoding forwarding strategy, decoded signal is compiled again again Code, and the signal t (i) after coding is sent to destination node, destination node obtains final reception signal:
Y (i)=d (i)+hRDt(i)+nD(i),
Wherein, nDIt (i) is the Gaussian noise of purpose node, obeying mean value is 0, variance σD 2Multiple Gauss distribution;
(4) relational expression for maximizing system channel capacity and system Signal to Interference plus Noise Ratio is established:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
Wherein, C is system channel capacity, and B is system bandwidth, PsFor the transmission power of source node, PrFor the transmitting function of relay node Rate, PtFor the general power upper limit value of system, Pmax=wPtFor single upper limit of the power value, w be control single power maximum limitation range be Number, 0 < w <, 1,0 < Ps+Pr≤PtFor the constraint condition that system total power is limited, 0 < Ps≤PmaxFor source node power limited Constraint condition, 0 < Pr≤PmaxFor the constraint condition of relay node power limited;γ is system Signal to Interference plus Noise Ratio, and value is according to institute The network used determines:
γ=min { γ in network of the tie link as interference signalSRRD,Source is saved for relay node The Signal to Interference plus Noise Ratio of point,It is purpose node to the Signal to Interference plus Noise Ratio of relay node, wherein ksrIt is saved for source node to relaying Channel gain, the k of pointrdChannel gain, k for relay node to destination nodesdFor the channel gain of source node to destination node And krrFor relay node loop channel gain;
γ=min { γ in network of the tie link as useful signalSRSDRD,For relay node pair The Signal to Interference plus Noise Ratio of source node, γSD=ksdPsIt is purpose node to the Signal to Interference plus Noise Ratio of source node, γRD=krdPrFor purpose node pair The Signal to Interference plus Noise Ratio of relay node;
(5) it under power-limited condition, according to the relationship for maximizing system channel capacity and system Signal to Interference plus Noise Ratio, establishes and maximizes The objective function of Signal to Interference plus Noise Ratio:
5a) for γ=min { γSRRDSystem Signal to Interference plus Noise Ratio, according to maximizing, minimum value is theoretical, obtains only saving with relaying Point power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax,
5b) for γ=min { γSRSDRDSystem Signal to Interference plus Noise Ratio, according to maximizing, minimum value is theoretical, obtain only with Relay node power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
(6) the fresh target function gamma obtained in (5) is to relaying node power PrDerivation obtains relay node power PrIt is optimal Value, further according to the source node power P for maximizing the foundation of minimum value theorysWith relay node power PrRelationship, obtain source node function Rate PsOptimal value.
2. being will be in i according to the method described in claim 1, the reception signal g (i) that wherein relay node obtains in step (2) Channel parameter h of the signal x (i) and source node that time slot source node is sent to relay nodeSRIt is multiplied, i.e. g (i)=hSRx(i)。
3. being will be in i according to the method described in claim 1, the reception signal d (i) that wherein destination node obtains in step (2) The source node of+τ time slot sends signal x (i+ τ) and source node to the channel parameter h of destination nodeSDIt is multiplied, i.e. d (i)=hSDx(i + τ), wherein relative time delay of the τ between tie link and repeated link.
4. according to the method described in claim 1, wherein in step (3) relay node obtain total reception signal r (i), be by Received source node sends signal g (i), received self-interference signal f (i) and Gaussian noise nR(i) three is added, i.e. r (i) =g (i)+f (i)+nR(i), wherein f (i) is self-interference signal, i.e. f (i)=hRRT (i), t (i) are that the forwarding of relay node is believed Number, nRIt (i) is the Gaussian noise of relay node receiving end, obeying mean value is 0, variance σR 2Multiple Gauss distribution.
5. according to the method described in claim 1, the wherein forward signal t (i) in step (3), is saved with relaying in i-1 time slot Total reception signal of point is equal, i.e. t (i)=r (i-1).
6. according to the method described in claim 1, wherein in step (5a) according to maximize minimum value theory obtain only with relaying Node power PrRelevant fresh target functionIt carries out as follows:
(5a1) works as γSRRDWhen, system Signal to Interference plus Noise Ratio is maximum, i.e. γ=γSRCharacteristic, establish source node and relay node The relational expression of power: ksrksdPs 2+ksrPs=krrkrdPr 2+krdPr
(5a2) is by all source node power PssAll use relay node power PrReplacement substitutes into γ=γSR, obtain only saving with relaying Point power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
7. according to the method described in claim 1, wherein in step (5b) according to maximize minimum value theory obtain only with relaying Node power PrRelevant fresh target functionIt carries out as follows:
(5b1) basis works as γSRSDRDWhen, system Signal to Interference plus Noise Ratio is maximum, i.e. γ=γSRCharacteristic, establish source node function The relational expression of rate and relay node power: ksrPs-ksdPs=krrkrdPr 2+krdPr+ksdkrrPsPr
(5b2) is by all source node power PssAll use relay node power PrReplacement substitutes into γ=γSR, obtain only saving with relaying Point power PrRelevant fresh target function:
S.t.0 < Ps+Pr≤Pt
0 < Ps≤Pmax, 0 < Pr≤Pmax
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