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CN110324844A - A kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum - Google Patents

A kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum Download PDF

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Publication number
CN110324844A
CN110324844A CN201910609094.5A CN201910609094A CN110324844A CN 110324844 A CN110324844 A CN 110324844A CN 201910609094 A CN201910609094 A CN 201910609094A CN 110324844 A CN110324844 A CN 110324844A
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secondary users
formula
primary user
power
noma
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CN110324844B (en
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周晓天
文玉杰
张海霞
袁东风
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Shandong University
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Shandong University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/02Arrangements for optimising operational condition
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W40/00Communication routing or communication path finding
    • H04W40/02Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/22Communication route or path selection, e.g. power-based or shortest path routing using selective relaying for reaching a BTS [Base Transceiver Station] or an access point
    • 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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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Mobile Radio Communication Systems (AREA)
  • Radio Relay Systems (AREA)

Abstract

The present invention relates to a kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum, the present invention makes the SU transmission rate as relaying reach maximum by the power allocation factor of optimization Secondary Users NOMA transmission.It not only can effectively improve total rate of primary user PU and Secondary Users SU, the spectrum efficiency of raising system, and more Secondary Users SU can be motivated as the forward relay of primary user PU simultaneously, solve user benefit contradictory problems between primary user PU and Secondary Users SU.

Description

A kind of Secondary Users' soaking power point shared based on cooperation NOMA and collaboration frequency spectrum Method of completing the square
Technical field
The present invention relates to a kind of secondary use shared based on cooperation NOMA (non-orthogonal multiple access technology) and collaboration frequency spectrum Family soaking power distribution method, belongs to art communication systems field.
Background technique
As the increase of index speed is presented in the demand of the appearance of 5G, the quantity sharp increase of mobile device, user's access, But nowadays frequency spectrum resource becomes very in short supply, therefore the demand that the scarcity of frequency spectrum resource and user constantly promote rate A pair of of principal contradiction as the design of present communication system strategy.
Collaboration frequency spectrum technology of sharing is a kind of promising method of frequency spectrum scarcity problem in solution wireless communication, and Through causing more and more research interests from industry and academia.In collaboration frequency spectrum shared system, no frequency spectrum is connect The Secondary Users (SU) for entering license can be obtaining certain frequency by way of sending the signal of Secondary Users (SU) as relaying Compose turn-on time.Therefore, the availability of frequency spectrum of entire communication system can be improved by the cooperation between PU and SU.
Time as relaying in most of work on hands relevant to collaboration frequency spectrum technology of sharing, during the cooperation stage User (SU) is wanted mostly to work under orthogonal modes.That is, Secondary Users (SU) are by the resource of distribution, (time slot or frequency band are provided Source) it is divided into two parts, a part is used for the transmission of their own, and another part is exclusively used in from main users (PU) forwarding information.Knot Fruit, Secondary Users (SU) cannot make full use of given frequency spectrum or turn-on time to meet the needs of himself.
In order to further increase the efficiency of frequency spectrum share, non-orthogonal multiple access technology (NOMA) is introduced.It is nonopiate more Location access technology (NOMA) is considered as one of the technology of the 5th third-generation mobile communication (5G) most attraction, allows user total simultaneously Enjoy identical frequency spectrum or time slot.The basic thought of non-orthogonal multiple access technology (NOMA) is to use nonopiate biography in transmitting terminal Defeated, in receiving end, different users shows different power differences, actively introduces interference information, is then disappeared using serial interference The correct demodulation of different user information is realized except (SIC).And due to using successive interference cancellation in receiving end, NOMA is non- It is very suitable for collaboration communication.Therefore, it is necessary to NOMA be combined with collaboration frequency spectrum technology of sharing in the right way, with more preferable Ground utilizes frequency spectrum resource.
On the other hand, another major issue in collaboration frequency spectrum technology of sharing is relay selection and power distribution.However, Most of relay selections formulated and solved using Cooperation Theory in downlink NOMA system or power distribution problems show Work be all make whole system by certain optimisation strategy and rate, throughput-maximized or outage probability it is minimum Change, deficiency is taken into account to the fairness of resource allocation between user, and do not account for Secondary Users (SU) and main users (PU) the unique user demand of their own causes the waste of the communication resource.Consider the different demands of user under different scenes, this Rare in the communication resource, user volume rapid growth is great research significance instantly.
There are some researchs shared about cooperation NOMA and collaboration frequency spectrum now, also there is the related game theory of a small number of combinations to consider The research of behavior between user.The principle of NOMA technology is to carry out non-orthogonal multiplexing to different user related communication resource, is being connect Receiving end is demodulated using SIC, so that more users can share the communication resource instantly, improves the frequency of system entirety Spectrum efficiency, and the introducing of multi-user certainly exists certain user behavior contradictory problems in resource allocation.Time as relaying Wanting user is often selfishness, it also thinks to meet itself as far as possible while being forwarded information work for main users Forwarding rate demand.Therefore, main users just need to formulate an incentive system and come so that more Secondary Users are actively engaged in Work is forwarded, while guaranteeing that the interests of itself are not suffered a loss.Research and NOMA future studies in terms of user behavior problem One emphasis.
Summary of the invention
In view of the deficiencies of the prior art, the present invention provides a kind of based under cooperation NOMA and collaboration frequency spectrum shared environment Secondary Users' soaking power distribution method;
The present invention has studied the performance of multi-user's relay communications system under cooperation NOMA environment.The present invention mainly studies this Power optimization and relay selection problem in system.By utilizing NOMA technology, the present invention effectively improves total speed of PU and SU Rate devises a kind of soaking system and solves interests contradiction between SU and PU, and proposes a kind of power distribution algorithm, is protecting On the basis of the basic transmission rate requirements for demonstrate,proving PU, the transmission rate of the SU as relaying is maximized.
If channel state information (CSI) is it is known that compared with traditional NOMA static power allocation strategy, under the present invention considers The power allocation factor and repeating power of the channel condition optimization Secondary Users of row transmission.And it is provided with main users transmission most Small rate requirement thresholding, to ensure that the PU as frequency spectrum resource supplier is better than the condition of direct transferring by the performance that cooperation obtains. By the power allocation factor of optimization Secondary Users NOMA transmission, the SU transmission rate as relaying is made to reach maximum.It is not only The total rate that can effectively improve PU and SU improves the spectrum efficiency of system, and can motivate simultaneously more SU as The forward relay of PU solves user benefit contradictory problems between PU and SU.
The technical solution of the present invention is as follows:
A kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum, is run on and is based on The multi-user's relay communications system for cooperating NOMA, multi-user's relay communications system based on cooperation NOMA includes main users system With Secondary Users' system, main users system refers to that primary user PU, primary user PU include that a master transmitter PT and a master connect Receipts machine PR, Secondary Users' system include that K Secondary Users SU, each Secondary Users SU include a transmitter and a reception Machine forms transmitter-receiver pair, is expressed as STk-SRk, primary user PU is in communications status always;
Primary user PU has the right to use of access bandwidth, but the channel condition directly transmitted between PT and PR is very poor. On the other hand, each SU goes for frequency spectrum turn-on time to send the signal of their own.But primary user PU controls access bandwidth Distribution power.Therefore, SU must help PU to be forwarded, and can just have an opportunity to send the signal of oneself.In order to preferably utilize band Wide resource uses cooperation transmission strategy, including two transmission stages: directly the transmission stage cooperates the forwarding stage with NOMA, including Steps are as follows:
(1) stage is directly transmitted, is carried out in the preceding half period of collaboration communication period;
In order to facilitate analysis, present invention assumes that selecting any one Secondary Users SU i.e. STk-SRkAs relaying, primary user The master transmitter PT of PU by its data broadcasting to main receiver PR and it is selected as relaying Secondary Users SU transmitter STk
Main receiver PR receives signal yPT, PR, as shown in formula (I):
yPT, PR=hPT, PRxPPT, PR (Ⅰ)
In formula (I), hPT, PRFor the channel gain between master transmitter PT and main receiver PR, ωPT, PRFor master transmitter PT White Gaussian noise between main receiver PR, xPFor the signal of primary user PU;
The direct transmission rate that main receiver PR is realized are as follows:
SNRPT, PRThe signal-to-noise ratio that the signal of main receiver PR is sent to from master transmitter PT is indicated, since master transmitter PT is arrived The channel condition of main receiver PR is excessively poor, leads to very small direct transmission rate Rd, it is therefore necessary to select SU as relaying Transmission for PU.It is considered herein that the direct transmission rate R that main receiver PR is realizeddIt ignores;
The transmitter ST of Secondary Users SUkReceive signalAs shown in formula (II):
In formula (II),For master transmitter PT and transmitter STkBetween white Gaussian noise,Based on emit Machine PT and transmitter STkBetween channel gain;
(2) NOMA cooperates the forwarding stage, carries out in the second half of the cycle of collaboration communication period;
For Secondary Users SU, present invention assumes that each Secondary Users SU is successfully decoded in the first phase from primary user PU Received signal;Therefore, the present invention is received more focused on Secondary Users' transmitter ST and primary user receivers PR, Secondary Users Relay processes between machine STk.The transmitter ST of Secondary Users SUkTo in the direct transmission stage received signal solve Code, and non-orthogonality signal, the transmitter ST of Secondary Users SU are generated with the Signal averaging of oneselfkUsing the transmission mode of NOMA, Shared frequency band and time resource, by the channel gain condition according to primary user PU and Secondary Users SU, by optimal secondary use Family SU repeating powerDifferent power allocation factors is distributed to primary user PU and Secondary Users SUTo distinguish different use That is, the signal at family willSecondary Users SU is distributed to, it willDistribute to primary user PU;Superposition is generated simultaneously non- Orthogonal signalling are forwarded to the receiver SR of the receiver PR and Secondary Users SU of primary user PUk, and in the reception of Secondary Users SU Machine SRkThe method of serial interference elimination (SIC) is used to demodulate at the receiver PR of primary user PU, demodulation includes: first will The information of Secondary Users SU decodes the information of primary user PU, the information of further decoding Secondary Users SU as interference;And in this solution There are certain conflict of interest during adjusting, due to SU be it is selfish, SU will not actively consume the repeating power of itself to help PU is forwarded, therefore PU needs to formulate certain incentive mechanism to induce SU to be forwarded, demodulated at this in the present invention Primary user PU is by rewarding the forwarding of SU with power allocation factor is formulated with the shared authorization frequency spectrum of Secondary Users SU in journey;To Solve the conflict of interest of the two.
The target of the cooperation NOMA system of proposition be while the basic transmission rate condition for meeting PU maximize selected by The value of utility of SU.The invention proposes the optimization algorithms that a kind of combined optimization sends power, function molecular group.Meet primary user PU's The objective function and restrictive condition C1-C3 that the value of utility of selected Secondary Users SU is maximized while basic transmission rate condition are such as Shown in formula (III):
In formula (III), USURefer to the value of utility of Secondary Users SU,Refer to the receiver SR in k-th userk Obtained transmission rate, α1kRefer to the power allocation factor of primary user PU, α2kRefer to the power allocation factor of Secondary Users SU, λk Refer to the unit work consumptiom cost of Secondary Users SU, PkFor the repeating power of the Secondary Users SU in the transmission, PMAXRefer to secondary use The power limit of family repeating power;UPURefer to the value of utility of primary user PU, RVRefer to that primary user PU cooperates the forwarding stage in NOMA Cooperate the rate needed for transmission obtains by NOMA;
C1 indicates that the value of utility that primary user PU is obtained in multi-user's relay communications system based on cooperation NOMA is greater than it originally Transmission rate R needed for bodyV;C2 indicates that power allocation factor is reasonable and the power allocation factor of primary user PU is always big In the power allocation factor of Secondary Users SU;C3 indicates that the repeating power of Secondary Users SU is no more than PMAX
Optimal Secondary Users SU repeating power is calculated by formula (III)The power distribution of optimal primary user PU The factorAnd the power allocation factor power allocation factor of Secondary Users SURespectively as shown in formula (IV), (V), (VI):
Formula (IV), (V), in (VI), γ refers to transmission letter drying ratio required for primary user PU itself, Indicate the transmitter ST of Secondary Users SUkThe ratio of channel gain and noise power between the main receiver PR of primary user PU,Indicate the transmitter ST of Secondary Users SUkWith the receiver SR of Secondary Users SUkBetween channel gain and make an uproar The ratio of acoustical power.
The present invention optimal SU repeating power when solving any SU of selection as relayingOptimal main users The power allocation factor of PUAnd the power allocation factor power allocation factor of Secondary Users SUIt can be obtained by each The SU alternately relayed cooperates system optimal Resource Allocation Formula when transmitting.
Detailed process is as follows:
1. assuming channel status it is known that primary user PU is broadcast to all Secondary Users SU transmissions that can be used as and alternatively relay One cooperation forwarding request shows oneself to need to seek a relaying come NOMA transmission of cooperating, is given according to formula (V), (VI) A power allocation factor scheme out
2. if, according to formula (IV), calculating optimal Secondary Users SU k-th of Secondary Users SU wants transmission of cooperating Repeating powerAnd report PU.
3. primary user PU receives the optimal Secondary Users SU repeating power that all k Secondary Users SU are reportedChoosing It selects and sells based on the multi-user's relay communications system and the maximum Secondary Users SU of rate for cooperating NOMA as relaying.
Preferred according to the present invention, NOMA cooperates the forwarding stage, and the reasoning process of objective function is as follows:
Successive interference cancellation (SIC) is applied to main receiver PR and receiver SR, right for decoding nonopiate NOMA signal Shown in the rate of information throughput obtained at primary user PU, main receiver PR such as formula (VII):
In formula (VII),σ2For noise power,For from transmitter STkTo main receiver PR's Channel gain, α1kIt is the power allocation factor of primary user PU, α2kIt is the power allocation factor of Secondary Users SU;PkFor in the transmission Secondary Users SU repeating power;
For primary user PU, due to the bad channel conditions between PT and PR, it is considered herein that directly transmission rate RdIgnore Disregard, sets primary user PU and need to cooperate the forwarding stage by rate needed for NOMA cooperation transmission acquisition as R in NOMAV, fixed Justiceγ is the required SINR (Signal to Interference plus Noise Ratio) of primary user PU;
Shown in the utility function of primary user PU such as formula (VIII):
It can be seen that only in direct transmission rate very little, PU can just seek relay transmission.
For Secondary Users SU, in receiver SRkShown in the rate of information throughput that place obtains such as formula (Ⅸ):
In formula (Ⅸ),σ2It is noise power,For from transmitter STkTo receiver SRk's Channel gain;
Therefore, shown in the utility function of Secondary Users SU such as formula (Ⅹ):
In formula (Ⅹ), λkFor the unit work consumptiom cost of SU;
Since SU is selfish and rationality, PU forwarding information is helped without obligation waste power resource.What it is in proposition is In system, in order to motivate SU, the present invention maximizes the value of utility of Secondary Users SU, and for primary user PU, it is only necessary to meet PU's Transmission rate reaches demand RV, and RVAlways greater than direct transmission rate Rd
The target of the cooperation NOMA system of proposition is maximum while the basic transmission rate condition for meeting primary user PU Change the value of utility of selected Secondary Users SU, the invention proposes the optimization algorithms that a kind of combined optimization sends power, function molecular group. Shown in objective function, restrictive condition C1-C3 such as formula (III):
It is preferred according to the present invention, optimal SU repeating powerThe power allocation factor of optimal primary user PU And the power allocation factor power allocation factor of Secondary Users SUI.e. formula (IV), (V), the reasoning process of (VI) are as follows:
Restrictive condition C2 is updated to UPUAnd USU, obtain formula (Ⅺ), formula (Ⅻ):
The utility function of Secondary Users SU is about α2kIncremental, it is obtained according to formula (Ⅺ)Cause This, Secondary Users SU only existsShi Caiyou maximum utility value, at this point, the income of PU is equal to RV
Although the income of PU is equal to R at this timeV, but PU has still obtained one than directly transmitting higher transmission rate.Cause This PU still can obtain gain from cooperation transmission.The present invention can simplify optimization problem formula (III), obtain formula (Ⅹ III):
s.t.Pk≤PMAx
Optimal SU repeating powerUnder, shown in the maximum utility of Secondary Users SU such as formula (Ⅹ IV):
Its single order inverse is solved to formula (Ⅹ IV) and second order is reciprocal, respectively as shown in formula (Ⅹ V) (Ⅹ VI):
Formula (Ⅹ VI) perseverance is negative, it was therefore concluded that: maximum value of utility is obtained when formula (Ⅹ V) is zero, therefore, meter Calculate optimal SU repeating powerThe power allocation factor of optimal primary user PUAnd the power distribution of Secondary Users SU Factor power distribution factorAs shown in formula (IV), (V), (VI):
It is preferred according to the present invention, in order to maximize the handling capacity of whole system, select so that maximum secondary with rate User SUselectAs relaying, so as to achieve the purpose that promote overall system performance, as shown in formula (Ⅹ VII):
In formula (Ⅹ VII), κ={ 1,2 ..., K } indicates the set of the K alternative Secondary Users for relaying,Refer to choosing The value of utility that main users PU is obtained when selecting k-th of Secondary Users as relaying,Refer to select k-th of Secondary Users as The value of utility that Secondary Users SU is obtained when relaying.
The invention has the benefit that
1, the power optimization relay selection method in cooperation NOMA collaboration frequency spectrum shared system of the present invention, passes through analysis The transmission rate for the NOMA system that cooperates and the property for utilizing logarithmic function, have constructed corresponding utility function and optimization problem, And the optimization problem studied is obtained into optimal solution by low complex degree derivation algorithm, final realize maximization system and rate Target.
2, the present invention considers the fairness of resource allocation, the property taken into account between user, has fully taken into account Secondary Users (SU) and the unique user demand of main users (PU) their own, and the enough excitations of SU are given so that SU initiatively strives for conduct The right of relaying, so that the design of communication system is more reasonable.
Detailed description of the invention
Fig. 1 is that the present invention is based on multi-user's relay communications system model schematics of cooperation NOMA;
Fig. 2 is the simulation result schematic diagram that ideal power allocation factor changes with the SINR of primary user's PU demand;
Fig. 3 is the simulation result schematic diagram that ideal SU relay power changes with the SINR of primary user's PU demand;
Fig. 4 is the comparison schematic diagram of total value of utility and randomized policy.
Specific embodiment
The present invention is further qualified with embodiment with reference to the accompanying drawings of the specification, but not limited to this.
Embodiment 1
A kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum, is run on and is based on Cooperate multi-user's relay communications system of NOMA, as shown in Figure 1, multi-user's relay communications system based on cooperation NOMA includes master Custom system and Secondary Users' system are wanted, main users system refers to that primary user PU, primary user PU include a master transmitter PT With a main receiver PR, Secondary Users' system includes K Secondary Users SU, each Secondary Users SU include a transmitter and One receiver forms transmitter-receiver pair, is expressed as STk-SRk, primary user PU is in communications status always;
Primary user PU has the right to use of access bandwidth, but the channel condition directly transmitted between PT and PR is very poor. On the other hand, each SU goes for frequency spectrum turn-on time to send the signal of their own.But primary user PU controls access bandwidth Distribution power.Therefore, SU must help PU to be forwarded, and can just have an opportunity to send the signal of oneself.In order to preferably utilize band Wide resource uses cooperation transmission strategy, including two transmission stages: directly the transmission stage cooperates the forwarding stage with NOMA, including Steps are as follows:
(1) stage is directly transmitted, is carried out in the preceding half period of collaboration communication period;
In order to facilitate analysis, present invention assumes that selecting any one Secondary Users SU i.e. STk-SRkAs relaying, primary user The master transmitter PT of PU by its data broadcasting to main receiver PR and it is selected as relaying Secondary Users SU transmitter STk
Main receiver PR receives signal yPT, PR, as shown in formula (I):
yPT, PR=hPT, PRxPPT, PR (Ⅰ)
In formula (I), hPT, PRFor the channel gain between master transmitter PT and main receiver PR, ωPT, PRFor master transmitter PT White Gaussian noise between main receiver PR, xPFor the signal of primary user PU;
The direct transmission rate that main receiver PR is realized are as follows:
SNRPT, PRThe signal-to-noise ratio that the signal of main receiver PR is sent to from master transmitter PT is indicated, since master transmitter PT is arrived The channel condition of main receiver PR is excessively poor, leads to very small direct transmission rate Rd, it is therefore necessary to select SU as relaying Transmission for PU.It is considered herein that the direct transmission rate R that main receiver PR is realizeddIt ignores;
The transmitter ST of Secondary Users SUkReceive signalAs shown in formula (II):
In formula (II),For master transmitter PT and transmitter STkBetween white Gaussian noise,Based on emit Machine PT and transmitter STkBetween channel gain;
(2) NOMA cooperates the forwarding stage, carries out in the second half of the cycle of collaboration communication period;
For Secondary Users SU, present invention assumes that each Secondary Users SU is successfully decoded in the first phase from primary user PU Received signal;Therefore, the present invention is received more focused on Secondary Users' transmitter ST and primary user receivers PR, Secondary Users Relay processes between machine STk.The transmitter ST of Secondary Users SUkTo in the direct transmission stage received signal solve Code, and non-orthogonality signal, the transmitter ST of Secondary Users SU are generated with the Signal averaging of oneselfkUsing the transmission mode of NOMA, Shared frequency band and time resource, by the channel gain condition according to primary user PU and Secondary Users SU, by optimal secondary use Family SU repeating powerDifferent power allocation factors is distributed to Secondary Users SU and primary user PUTo distinguish different use That is, the signal at family willSecondary Users SU is distributed to, it willDistribute to primary user PU;Superposition is generated simultaneously non- Orthogonal signalling are forwarded to the receiver SR of the receiver PR and Secondary Users SU of primary user PUk, and in the reception of Secondary Users SU Machine SRkThe method of serial interference elimination (SIC) is used to demodulate at the receiver PR of primary user PU, demodulation includes: first will The information of Secondary Users SU decodes the information of primary user PU, the information of further decoding Secondary Users SU as interference;And in this solution There are certain conflict of interest during adjusting, due to SU be it is selfish, SU will not actively consume the repeating power of itself to help PU is forwarded, therefore PU needs to formulate certain incentive mechanism to induce SU to be forwarded, demodulated at this in the present invention Primary user PU is by rewarding the forwarding of SU with power allocation factor is formulated with the shared authorization frequency spectrum of Secondary Users SU in journey;To Solve the conflict of interest of the two.
The target of the cooperation NOMA system of proposition be while the basic transmission rate condition for meeting PU maximize selected by The value of utility of SU.The invention proposes the optimization algorithms that a kind of combined optimization sends power, function molecular group.Meet primary user PU's The objective function and restrictive condition C1-C3 that the value of utility of selected Secondary Users SU is maximized while basic transmission rate condition are such as Shown in formula (III):
In formula (III), USURefer to the value of utility of Secondary Users SU,Refer to the receiver SR in k-th userk Obtained transmission rate, α1kRefer to the power allocation factor of primary user PU, α2kRefer to the power allocation factor of Secondary Users SU, λk Refer to the unit work consumptiom cost of Secondary Users SU, PkFor the repeating power of the Secondary Users SU in the transmission, PMAXRefer to secondary use The power limit of family repeating power;UPURefer to the value of utility of primary user PU, RVRefer to that primary user PU cooperates the forwarding stage in NOMA Cooperate the rate needed for transmission obtains by NOMA;
C1 indicates that the value of utility that primary user PU is obtained in multi-user's relay communications system based on cooperation NOMA is greater than it originally Transmission rate R needed for bodyV;C2 indicates that power allocation factor is reasonable and the power allocation factor of primary user PU is always big In the power allocation factor of Secondary Users SU;C3 indicates that the repeating power of Secondary Users SU is no more than PMAX
Optimal Secondary Users SU repeating power is calculated by formula (III)The power distribution of optimal primary user PU The factorAnd the power allocation factor power allocation factor of Secondary Users SURespectively as shown in formula (IV), (V), (VI):
Formula (IV), (V), in (VI), γ refers to transmission letter drying ratio required for primary user PU itself, Indicate the transmitter ST of Secondary Users SUkThe ratio of channel gain and noise power between the main receiver PR of primary user PU,Indicate the transmitter ST of Secondary Users SUkWith the receiver SR of Secondary Users SUkBetween channel gain and make an uproar The ratio of acoustical power.
The present invention optimal SU repeating power when solving any SU of selection as relayingOptimal main users The power allocation factor of PUAnd the power allocation factor power allocation factor of Secondary Users SUIt can be obtained by each The SU alternately relayed cooperates system optimal Resource Allocation Formula when transmitting.
Detailed process is as follows:
1. assuming channel status it is known that primary user PU is broadcast to all Secondary Users SU transmissions that can be used as and alternatively relay One cooperation forwarding request shows oneself to need to seek a relaying come NOMA transmission of cooperating, is given according to formula (V), (VI) A power allocation factor scheme out
2. if, according to formula (IV), calculating optimal Secondary Users SU k-th of Secondary Users SU wants transmission of cooperating Repeating powerAnd report PU.
3. primary user PU receives the optimal Secondary Users SU repeating power that all k Secondary Users SU are reportedChoosing It selects and sells based on the multi-user's relay communications system and the maximum Secondary Users SU of rate for cooperating NOMA as relaying.
NOMA cooperates the forwarding stage, and the reasoning process of objective function is as follows:
Successive interference cancellation (SIC) is applied to main receiver PR and receiver SR, right for decoding nonopiate NOMA signal Shown in the rate of information throughput obtained at primary user PU, main receiver PR such as formula (VII):
In formula (VII),σ2For noise power,For from transmitter STkTo main receiver PR Channel gain, α1kIt is the power allocation factor of primary user PU, α2kIt is the power allocation factor of Secondary Users SU;PkFor the transmission In Secondary Users SU repeating power;
For primary user PU, due to the bad channel conditions between PT and PR, it is considered herein that directly transmission rate RdIgnore Disregard, sets primary user PU and need to cooperate the forwarding stage by rate needed for NOMA cooperation transmission acquisition as R in NOMAV, fixed Justiceγ is the required SINR (Signal to Interference plus Noise Ratio) of primary user PU;
Shown in the utility function of primary user PU such as formula (VIII):
It can be seen that only in direct transmission rate very little, PU can just seek relay transmission.
For Secondary Users SU, in receiver SRkShown in the rate of information throughput that place obtains such as formula (Ⅸ):
In formula (Ⅸ),σ2It is noise power,For from transmitter STkTo receiver SRk's Channel gain;
Therefore, shown in the utility function of Secondary Users SU such as formula (Ⅹ):
In formula (Ⅹ), λkFor the unit work consumptiom cost of SU;
Since SU is selfish and rationality, PU forwarding information is helped without obligation waste power resource.What it is in proposition is In system, in order to motivate SU, the present invention maximizes the value of utility of Secondary Users SU, and for primary user PU, it is only necessary to meet PU's Transmission rate reaches demand RV, and RVAlways greater than direct transmission rate Rd
The target of the cooperation NOMA system of proposition is maximum while the basic transmission rate condition for meeting primary user PU Change the value of utility of selected Secondary Users SU, the invention proposes the optimization algorithms that a kind of combined optimization sends power, function molecular group. Shown in objective function, restrictive condition C1-C3 such as formula (III):
Optimal SU repeating powerThe power allocation factor of optimal primary user PUAnd the power of Secondary Users SU Distribution factor power allocation factorI.e. formula (IV), (V), the reasoning process of (VI) are as follows:
Restrictive condition C2 is updated to UPUAnd USE, obtain formula (Ⅺ), formula (Ⅻ):
The utility function of Secondary Users SU is about α2kIncremental, it is obtained according to formula (Ⅺ)Cause This, Secondary Users SU only existsShi Caiyou maximum utility value, at this point, the income of PU is equal to RV
Although the income of PU is equal to R at this timeV, but PU has still obtained one than directly transmitting higher transmission rate.Cause This PU still can obtain gain from cooperation transmission.The present invention can simplify optimization problem formula (III), obtain formula (Ⅹ III):
s.t.Pk≤PMAX
Optimal SU repeating powerUnder, shown in the maximum utility of Secondary Users SU such as formula (Ⅹ IV):
Its single order inverse is solved to formula (Ⅹ IV) and second order is reciprocal, respectively as shown in formula (Ⅹ V) (Ⅹ VI):
Formula (Ⅹ VI) perseverance is negative, it was therefore concluded that: maximum value of utility is obtained when formula (Ⅹ V) is zero, therefore, meter Calculate optimal SU repeating powerThe power allocation factor of optimal primary user PUAnd the power distribution of Secondary Users SU Factor power distribution factorAs shown in formula (IV), (V), (VI):
A kind of system performance shared with collaboration frequency spectrum based on cooperation NOMA that the present embodiment proposes is as shown in Figure 2,3, 4. By being compared with random relay selection, by taking 5 SU are relayed as an example.The ideal power allocation factor of Fig. 2 display systemThe relationship changed with the SINR of PU demand.It is observed that the PU with high request rate will obtain bigger function Rate distribution factorAnd the smaller factor is distributed to SUIn Fig. 3, present invention illustrates the SINR of required PU with The contribution relay power of SUBetween relationship.The transmission of PU self-demand is higher, the power of SU forwarding consumptionIt is fewer.I.e. Make PU that can distribute bigger power allocation factor when needing bigger rate, SU can also pass through reductionTo reduce oneself Loss, this also reflects the selfishness of SU.This also shows the interests contradiction between PU and SU, finds in the mutual game of the two The most advantage point of the two.In Fig. 4, the present invention compare proposition scheme and randomizing scheme and value of utility.As can be seen that The total utility value of PU, SU are consistently higher than randomizing scheme.This demonstrate that the solution of the present invention can be by solving optimal power contribution The factorWith SU repeating powerTo make whole system obtain better performance.
Embodiment 2
According to a kind of Secondary Users' soaking power point shared based on cooperation NOMA and collaboration frequency spectrum described in embodiment 1 Method of completing the square, difference are: the handling capacity in order to maximize whole system selects so that with the maximum Secondary Users of rate SUselectAs relaying, so as to achieve the purpose that promote overall system performance, as shown in formula (Ⅹ VII):
In formula (Ⅹ VII), κ={ 1,2 ..., K } indicates the set of the K alternative Secondary Users for relaying,Refer to choosing The value of utility that main users PU is obtained when selecting k-th of Secondary Users as relaying,Refer to select k-th of Secondary Users as The value of utility that Secondary Users SU is obtained when relaying.

Claims (4)

1. a kind of Secondary Users' soaking power distribution method shared based on cooperation NOMA and collaboration frequency spectrum, is run on based on conjunction The multi-user's relay communications system for making NOMA, based on cooperation NOMA multi-user's relay communications system include main users system and Secondary Users' system, main users system refer to that primary user PU, primary user PU include a master transmitter PT and a main reception Machine PR, Secondary Users' system include that K Secondary Users SU, each Secondary Users SU include a transmitter and a receiver, Transmitter-receiver pair is formed, ST is expressed ask-SRk, primary user PU is in communications status always;It is characterised in that it includes two The transmission stage: directly the transmission stage cooperates the forwarding stage with NOMA, comprises the following steps that
(1) stage is directly transmitted, is carried out in the preceding half period of collaboration communication period;
Select any one Secondary Users SU i.e. STk-SRkAs relaying, the master transmitter PT of primary user PU arrives its data broadcasting The transmitter ST of main receiver PR and the selected Secondary Users SU as relayingk
Main receiver PR receives signal yPT, PR, as shown in formula (I):
yPT, PR=hPT, PRxPPT, PR(I)
In formula (I), hPT, PRFor the channel gain between master transmitter PT and main receiver PR, ωPT, PRFor master transmitter PT and master White Gaussian noise between receiver PR, xPFor the signal of primary user PU;
The direct transmission rate R that main receiver PR is realizeddIt ignores;
The transmitter ST of Secondary Users SUkReceive signalAs shown in formula (II):
In formula (II),For master transmitter PT and transmitter STkBetween white Gaussian noise,For master transmitter PT With transmitter STkBetween channel gain;
(2) NOMA cooperates the forwarding stage, carries out in the second half of the cycle of collaboration communication period;
Assuming that each Secondary Users SU is successfully decoded in the first phase from primary user's PU received signal;The hair of Secondary Users SU Send machine STkTo in the direct transmission stage received signal be decoded, and with the Signal averaging of oneself generate non-orthogonality signal, The transmitter ST of Secondary Users SUkUsing the transmission mode of NOMA, share frequency band and time resource, by according to primary user PU and The channel gain condition of Secondary Users SU, by optimal Secondary Users SU repeating powerTo primary user PU and Secondary Users SU points With different power allocation factorsIt distinguishes the signal of different user, i.e., willSecondary Users SU is distributed to, it willDistribute to primary user PU;The non-orthogonality signal that superposition generates is forwarded to the receiver PR of primary user PU and secondary simultaneously The receiver SR of user SUk, and in the receiver SR of Secondary Users SUkWith at the receiver PR of primary user PU use serial interference The method of elimination is demodulated, and demodulation includes: to decode the information of primary user PU first by the information of Secondary Users SU as interference, The information of further decoding Secondary Users SU;In this demodulating process primary user PU pass through and the shared authorization frequency spectrum of Secondary Users SU and Power allocation factor is formulated to reward the forwarding of SU;
The target letter of the value of utility of selected Secondary Users SU is maximized while meeting the basic transmission rate condition of primary user PU Shown in several and restrictive condition C1-C3 such as formula (III):
In formula (III), USURefer to the value of utility of Secondary Users SU,Refer to the receiver SR in k-th userkIt obtains Transmission rate, α1kRefer to the power allocation factor of primary user PU, α2kRefer to the power allocation factor of Secondary Users SU, λkRefer to The unit work consumptiom cost of Secondary Users SU, PkFor the repeating power of the Secondary Users SU in the transmission, PMAXRefer to that Secondary Users turn Send out the power limit of power;UPURefer to the value of utility of primary user PU, RVRefer to that primary user PU passes through in the NOMA cooperation forwarding stage NOMA cooperation transmission obtains required rate;
C1 indicates that the value of utility that primary user PU is obtained in multi-user's relay communications system based on cooperation NOMA is greater than itself institute The transmission rate R neededV;C2 indicates that power allocation factor is reasonable and the power allocation factor of primary user PU is always greater than secondary Want the power allocation factor of user SU;C3 indicates that the repeating power of Secondary Users SU is no more than PMAX
Optimal Secondary Users SU repeating power is calculated by formula (III)The power allocation factor of optimal primary user PUAnd the power allocation factor power allocation factor of Secondary Users SURespectively as shown in formula (IV), (V), (VI):
Formula (IV), (V), in (VI), γ refers to transmission letter drying ratio required for primary user PU itself,It indicates The transmitter ST of Secondary Users SUkThe ratio of channel gain and noise power between the main receiver PR of primary user PU,Indicate the transmitter ST of Secondary Users SUkWith the receiver SR of Secondary Users SUkBetween channel gain and make an uproar The ratio of acoustical power.
2. a kind of Secondary Users' soaking power point shared based on cooperation NOMA and collaboration frequency spectrum according to claim 1 Method of completing the square, which is characterized in that selection is so that with the maximum Secondary Users SU of rateselectAs relaying, as shown in formula (X VII):
In formula (X VII),Indicate the set of the K alternative Secondary Users for relaying,Refer to selection kth The value of utility that main users PU is obtained when a Secondary Users are as relaying,Refer to select k-th of Secondary Users as relaying when The value of utility that Secondary Users SU is obtained.
3. a kind of Secondary Users' soaking power point shared based on cooperation NOMA and collaboration frequency spectrum according to claim 1 Method of completing the square, which is characterized in that NOMA cooperates the forwarding stage, the rate of information throughput such as formula (VII) institute obtained at main receiver PR Show:
In formula (VII),σ2For noise power,For from transmitter STkTo the channel of main receiver PR Gain, α1kIt is the power allocation factor of primary user PU, α2kIt is the power allocation factor of Secondary Users SU;PkFor time in the transmission Want the repeating power of user SU;
For primary user PU, direct transmission rate RdIt ignores, setting primary user PU needs to pass through in the NOMA cooperation forwarding stage Rate needed for NOMA cooperation transmission obtains is RV, definitionγ is the required of primary user PU SINR;
Shown in the utility function of primary user PU such as formula (VIII):
For Secondary Users SU, in receiver SRkShown in the rate of information throughput that place obtains such as formula (IX):
In formula (IX),σ2It is noise power,For from transmitter STkTo receiver SRkChannel Gain;
Shown in the utility function of Secondary Users SU such as formula (X):
In formula (X), λkFor the unit work consumptiom cost of SU;
The value of utility of Secondary Users SU is maximized, and for primary user PU, it is only necessary to the transmission rate for meeting PU reaches demand RV, And RVAlways greater than direct transmission rate Rd
The value of utility of selected Secondary Users SU, target letter are maximized while the basic transmission rate condition for meeting primary user PU Shown in number, restrictive condition C1-C3 such as formula (III):
4. a kind of Secondary Users' soaking shared based on cooperation NOMA and collaboration frequency spectrum according to claim 1 to 3 Power distribution method, which is characterized in that restrictive condition C2 is updated to UPUAnd USU, obtain formula (XI), formula (XII):
The utility function of Secondary Users SU is about α2kIncremental, it is obtained according to formula (XI)Therefore, secondary User SU is wanted only to existShi Caiyou maximum utility value, at this point, the income of PU is equal to RV
Simplify optimization problem formula (III), obtain formula (XIII):
Optimal SU repeating powerUnder, shown in the maximum utility of Secondary Users SU such as formula (Ⅹ IV):
Its single order inverse is solved to formula (Ⅹ IV) and second order is reciprocal, respectively as shown in formula (Ⅹ V) (Ⅹ VI):
Formula (Ⅹ VI) perseverance is negative, it was therefore concluded that: maximum value of utility is obtained when formula (Ⅹ V) is zero, therefore, is calculated Optimal SU repeating powerThe power allocation factor of optimal primary user PUAnd the power allocation factor of Secondary Users SU Power allocation factorAs shown in formula (IV), (V), (VI):
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