CN108601083A - Method for managing resource based on non-cooperative game in D2D communications - Google Patents

Method for managing resource based on non-cooperative game in D2D communications Download PDF

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CN108601083A
CN108601083A CN201810217917.5A CN201810217917A CN108601083A CN 108601083 A CN108601083 A CN 108601083A CN 201810217917 A CN201810217917 A CN 201810217917A CN 108601083 A CN108601083 A CN 108601083A
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user
power
pair
indicate
interference
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CN108601083B (en
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孙永军
王真真
刘祖军
左晓静
陈亚环
王凯
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Xidian University
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Xidian University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0453Resources in frequency domain, e.g. a carrier in FDMA
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W4/00Services specially adapted for wireless communication networks; Facilities therefor
    • H04W4/70Services for machine-to-machine communication [M2M] or machine type communication [MTC]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/24TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
    • H04W52/243TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account interferences
    • H04W52/244Interferences in heterogeneous networks, e.g. among macro and femto or pico cells or other sector / system interference [OSI]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/26TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
    • H04W52/265TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the quality of service QoS
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/26TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
    • H04W52/267TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the information rate
    • 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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/541Allocation or scheduling criteria for wireless resources based on quality criteria using the level of interference
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/542Allocation or scheduling criteria for wireless resources based on quality criteria using measured or perceived quality
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/54Allocation or scheduling criteria for wireless resources based on quality criteria
    • H04W72/543Allocation or scheduling criteria for wireless resources based on quality criteria based on requested quality, e.g. QoS

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Quality & Reliability (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

Method for managing resource based on non-cooperative game in being communicated the invention discloses a kind of D2D, mainly solves that prior art power consumption is big, and the availability of frequency spectrum is low, the problem of cannot meeting communication requirement in the case of more intelligent terminals;Its implementation includes:1) simulating scenes are set;2) constraints to user is set according to simulating scenes;3) the combination cost function that non-cooperative game is built under constraints, to carry out game modeling to D2D user;4) it adjusts phone user's power and obtains phone user's vector power;5) D2D user carries out non-cooperative game according to phone user's vector power and obtains power matrix;6) judge the stability of D2D user and phone user's joint Power matrix;7) distribution of user power and frequency spectrum is determined according to power matrix.The present invention reduces power consumption under conditions of realizing that frequency spectrum and power distribute simultaneously, promotes the availability of frequency spectrum, can be used in the D2D communications of 5G key technologies.

Description

Method for managing resource based on non-cooperative game in D2D communications
Technical field
The invention belongs to fields of communication technology, are related to a kind of method of resource allocation, can be used for 5G key technologies- In D2D communications, to improve the availability of frequency spectrum, the propagation delay time in communication is reduced, reduce transmission power and improves information transmission speed Rate.
Background technology
D2D communications, which refer to cellular system, allows the closer user of physical location to be no longer pass through the forwarding of base station, but can be with It is directly communicated under the control of base station.This communication mode can more efficiently utilize rare frequency spectrum resource, and by More closely there is low time delay, the advantage of low energy consumption in communication distance.Just because of the plurality of advantages of D2D communications, so either existing Research field is still all received more and more attention in industrial circle.There are two kinds of operating modes for D2D communications:Dedicated mode and Multiplexer mode;Dedicated mode refers to that D2D user is communicated using the frequency spectrum resource orthogonal with phone user;Multiplexer mode refers to D2D user is communicated by being multiplexed the frequency spectrum resource of phone user.Obviously since multiplexer mode can be efficiently using dilute Scarce frequency spectrum resource, so more being paid close attention to.But can exist under this pattern the interference between D2D and D2D and CUE it Between interference, in order to give full play to D2D communication advantage, carry out rational resource allocation and be necessary.
The research of resource management can be divided into centralized and distributed in being communicated for D2D;Centralization refers to being controlled by base station D2D connections processed, base station need to obtain all link informations, and the type can increase signaling traffic load;Distribution refers to D2D equipment autonomouslies Complete the foundation and maintenance of link, it is easier to obtain the link information between D2D equipment.
Paper " the Resource sharing optimization for device-to- that C.-H.Yu et al. is delivered device communication underlaying cellular networks”(IEEE Trans.Wireless Communication, vol.10, no.8, pp.2752-2763, Aug.2011.) it is exactly resource management in being communicated about D2D Centralized approach, this method considers the total throughout that system is maximized in the case where ensureing the QoS of phone user, insufficient Place is that research scene is relatively simple, and the scene of a phone user can only be multiplexed by only having studied a pair of of D2D.Such scene is non- Often do not have universality, and does not utilize rare frequency spectrum resource efficiently.
Paper " the Resource sharing of underlaying device-to-device that J.Wang et al. is delivered and uplink cellular communications”(IEEE Commun.Lett,vol.17,no.6,pp.1148- 1151, Jun.2013.) centralized approach of resource management in and being communicated about D2D, this method consider a pair of of D2D multiplexings The scene of multiple CUE resources, this method only have studied a pair of of D2D, although the availability of frequency spectrum can be improved, but have ignored Interference between D2D user couple.All it is centralized since front proposes research, needs to obtain whole channel state informations, this Sample will lead to larger signaling overheads.
Paper " the Joint Spectrum and Power Allocation for D2D that R.Yin et al. is delivered at it Communications Underlaying Cellular Networks”(IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, VOL.65, NO.4, pp.2182-2195, APR.2016.) be about D2D communicate in resource management distribution Method, this method solve joint subchannel distribution and D2D user power control problems, deficiency be not to phone user into Row power regulation.Article " the Distributed Resource Allocation that Hoang-Hiep Nguyen et al. are delivered for D2D Communications Underlay Cellular Networks”(IEEE COMMUNICATIONS LETTERS, VOL.20, NO.5, pp.942-954, MAY 2016) be also about D2D communicate in resource management distribution side Method, this method research is to adjust the power of D2D and CUE by joint to maximize the data rate of D2D user.It is not only right D2D is controlled to the interference that CUE is brought, and the interference between D2D user is also controlled, and shortcoming is that do not have Solve the problems, such as subchannel distribution.
Above scheme cannot meet frequency spectrum resource in the case of more intelligent terminals it is rare when communication requirement.
Invention content
The purpose of the present invention in view of the above shortcomings of the prior art, proposes in a kind of D2D communication based on non-cooperative game Method for managing resource improves the availability of frequency spectrum to reduce power consumption, meet frequency spectrum resource in the case of more intelligent terminals it is rare when Communication requirement.
The present invention thinking be:It is rich with non-cooperation using throughput of system as optimization aim using D2D communications as research environment It plays chess by being tool, by improving conventional cost function, proposes a kind of combination cost mechanism fully to control the interference between user, It ensures the telecommunication service quality QoS of D2D user DUE and phone user CUE, and is constrained by threshold value while realizing power and frequency The distribution of spectrum.Its implementation includes as follows:
(1) multipair D2D user and multiple phone users are randomly dispersed in single cell, each pair of D2D user is multiplexed at random Multiple phone user CUE resources, and multipair D2D user selects the same CUE to be multiplexed;
(2) constraint for increasing each pair of D2D user traffic rate, i.e., according to emulation experiment scene setting i-th pair D2D multiple With the data rate threshold value I of n-th of phone user CUEthIf the data rate of phone user CUE is less than the threshold value of setting Ith, then by the power of D2D userIt sets to 0, ultimately forms power matrix, the distribution feelings of power and frequency spectrum are determined according to power matrix Condition;
(3) the combination cost function form of non-cooperative game is built
WhereinIndicate the interference that i-th pair D2D user is subject to when being multiplexed n-th of subchannel, I-th pair D2D, j-th of bee are indicated respectively Nest user CUE, transmission power of the kth to D2D when being multiplexed n-th of subchannel, gi,i, gj,i, gk,iIndicate i-th pair D2D's respectively Originator-receiving end channel gain, the interference channel gain of j-th of phone user CUE to i-th pair D2D receivers, hair of the kth to D2D Penetrate interference channel gain of the machine to the receiver of i-th pair D2D, gi,BIndicate that the originator of i-th pair D2D arrives the channel gain of base station, N0 Indicate noise power N0=n0B, n0Indicate that noise power spectral density, B indicate that subchannel bandwidth, δ are a constant, IthIndicate every To the interference threshold value that D2D user is tolerated when being multiplexed phone user's CUE resource, ωi,nIndicate index;
The first part C1 of the combination cost function is the interference that the transmission power of joint D2D is subject to itself, cost letter Several second part C2 is joint D2D user to the interference of phone user with to total interference suffered by itself, and is multiplied by one Exponential form,For exponential function, the degree of harmful interference is characterized;
(4) phone user's transmission power is adjusted to optimize the data rate of phone user CUEs by water-filling algorithm;
(5) non-cooperative game between D2D pairs:
(5a) defines the non-cooperative game between D2D pairs:Wherein Ω=1 ..., K } Indicate that participant D2D user set, K indicate D2D logarithms,Indicate i-th of participant D2DiSet of strategies, UiIndicate i-th pair D2D user D2DiRevenue function, Indicate i-th pair D2D user D2DiData rate when being multiplexed n-th of subchannel,Indicate the maximum transmission of i-th pair D2D user on each of the sub-channels Power, PiIndicate i-th pair D2D user D2DiTotal transmission power maximum value,Indicate each pair of D2D on each of the sub-channels Minimum data rate threshold value, N indicate subchannel number, also illustrate that the number of phone user CUE;
(5b) optimizes the i-th pair D2D user D2D defined in (5a)iIncome Ui
WhereinIt indicates incomes of the i-th pair D2D when being multiplexed n-th of phone user CUE;
(5c) theory analysis simultaneously proves non-cooperative gameNash Equilibrium Solution whether there is and uniquely:
IfIt is rightSecond dervative be less than 0, then Nash Equilibrium Solution is unique, execute step (6);Otherwise, Nash Equilibrium Solution Not necessarily unique, termination carries out resource management with Non-cooperative;
(6) judge whether power matrix is stablized:
The power joint of phone user and D2D user are constituted into a big power matrix P, whether judge the power matrix Meet | P (ite)-P (ite-1) | < ε:If satisfied, then returning to power matrix, otherwise continue iteration, wherein ite indicates iteration time Number, ε=10-8
(7) determine that the watt level of D2D user and phone user CUEs and subchannel are multiplexed according to the power matrix of return Situation:If power is 0 in power matrix, then it represents that the D2D of the position is not to being multiplexed the corresponding subchannel in the position;Otherwise, Indicate multiplexing.
Compared with prior art, the present invention having the following advantages that:
First, the present invention considers a kind of more efficient system model, and frequency spectrum resource can used in each phone user To allow multiple D2D users to be multiplexed, the availability of frequency spectrum is improved;Each D2D user can also be multiplexed multiple phone users' simultaneously Frequency spectrum resource improves the message transmission rate of D2D user.
Second, the present invention increases the service quality to D2D user under conditions of ensureing cellular subscriber communications priority The guarantee of QoS, solves the problems, such as D2D user's frequency spectrum resource and power resource allocation, not only ensure that efficient communication but also has reduced pair The interference of other users.
Third, the present invention constrain message transmission rate of each pair of D2D user on the every sub-channels being multiplexed, If message transmission rate of the D2D user on certain sub-channels is unsatisfactory for minimum threshold, by power matrix corresponding position Power is set to 0, and in this way, can determine the distribution condition of power and frequency spectrum simultaneously according to power matrix.
4th, the present invention proposes the non-cooperative game algorithm based on combination cost function, which passes through a part of generation Valence function reduces the interference between D2D user, is reduced to tradition by cost function of the another part with exponential form The interference of phone user has ensured the communication quality QoS of phone user.
Description of the drawings
Fig. 1 is the system model schematic diagram that the present invention uses;
Fig. 2 is the implementation process block diagram of the present invention;
Fig. 3 is the analogous diagram for using the present invention and 3 kinds of existing methods respectively when D2D logarithms change to throughput of system.
Fig. 4 is the frequency spectrum resource multiplexing figure in the present invention;
Fig. 5 is the analogous diagram for using the present invention and 3 kinds of existing methods when phone user changes respectively to throughput of system.
Specific implementation mode
The invention will be further described below in conjunction with the accompanying drawings.
Referring to Fig.1, the system that the present invention uses includes uplink, and multipair D2D user and multiple phone users divide at random Cloth is in single cell.Since each pair of D2D user is multiplexed the frequency spectrum of multiple phone users, while multipair D2D user is multiplexed same bee The frequency spectrum resource of nest user, thus, between D2D user exist interference, and D2D user to base station and phone user to D2D's Receiving terminal can all generate interference.Since phone user CUE is assigned fixed and orthogonal frequency spectrum resource, by the forwarding of base station into Row communication, so there is no interference between phone user, phone user can be preferable in communication quality, provides frequency spectrum money Source is multiplexed for D2D user, improves the availability of frequency spectrum.
With reference to Fig. 2, the resource allocation methods in being communicated the present invention is based on the D2D of game theory under Fig. 1 systems realize step It is rapid as follows:
Step 1, D2D user powers and phone user's power are initialized.
D2D user's initial power is set as P(N×K)The initial power of=24dBm, phone user are set as PC=20dBm, wherein N indicates that the number of phone user, K indicate D2D user's logarithm.
Step 2, the power of phone user and D2D user are iterated to calculate.
(2a) initialization counter ite=0, ite indicate iterations.
(2b) calculates Signal to Interference plus Noise Ratio when each pair of D2D user is multiplexed each phone user:
Signal to Interference plus Noise Ratio of the i-th pair D2D when being multiplexed n-th of subchannel be:
WhereinI-th pair D2D is indicated respectively, and j-th of CUE, kth is to D2D when being multiplexed n-th of subchannel Transmission power, K indicates that D2D user's logarithm, N indicate phone user's number or subchannel number, gi,i, gj,i, gk,iIt indicates respectively The originator of i-th pair D2D-receiving end channel gain, j-th of CUE is to the interference channel gain of i-th pair D2D receivers, and kth is to D2D's Transmitter is to the interference channel gain of the receiver of i-th pair D2D, N0Indicate noise power, N0=n0B, n0Indicate noise power Spectrum density, B indicate subchannel bandwidth,WithPhone user's is dry when indicating to be multiplexed n-th of subchannel respectively Disturb and be multiplexed other D2D pairs interference of the subchannel;
(2c) calculates data rate when each pair of D2D user is multiplexed each phone user, and wherein i-th pair D2D is in multiplexing n-th Data rate when sub-channels can be expressed as:
(2d) calculates Signal to Interference plus Noise Ratio when each phone user is multiplexed by each pair of D2D user, wherein j-th of phone user exists The Signal to Interference plus Noise Ratio at the ends BS is:
Wherein gn,BIndicate the channel gain between j-th of CUE and base station, gi,jIndicate the i-th pair of n-th of subchannel of multiplexing Interference channel gain between D2D and base station,Indicate that the D2D user of n-th of subchannel of all multiplexings is dry to what is brought It disturbs;
(2e) calculates data rate when each phone user is multiplexed by each pair of D2D user, wherein j-th of phone user exists It is by the data rate at the ends BS when n-th of sub-channel communication:
(2f) adjusts phone user's power according to water-filling algorithm, obtains the vector power P of phone userC
(2g) adjusts D2D user powers according to the vector power of phone user, because the total throughout of D2D user is maximum Change is equivalent to this K D2D to throughput-maximized in the subchannel being multiplexed, i.e. subchannel distribution and power control can be with It individually carries out on each of the sub-channels, so, acquisition D2D user powers only need to solve following optimization to each pair of D2D user and ask Topic:
Wherein, (c1) indicates the constraint of the transmission power to each pair of D2D on each of the sub-channels,Indicate i-th pair D2D Maximum transmission power on each of the sub-channels, (c2) are the constraints of total transmission power in all subchannels to each pair of D2D, PiIndicate i-th pair D2D user D2Di,Total transmission power maximum value,Indicate each pair of D2D each Minimum data rate threshold value in subchannel, ifThen by performance numberIt sets 0, otherwise, keepIt is constant, the service quality QoS of D2D user can thus be effectively ensured;
The power joint of phone user and D2D user are constituted a big power matrix P by (2h), judge the power matrix Whether meet | P (ite)-P (ite-1) | < ε:If satisfied, then terminating user power calculating process, step 3 is executed, otherwise ite =ite+1, continues iteration, return to step (2b), and wherein ite indicates iterations, ε=10-8
Step 3, power distribution and subchannel distribution situation are determined according to the power matrix of step (2h).
Power allocation case is obviously can be seen that according to the size of performance number in power matrix, then for frequency spectrum distribution condition It is determined by whether performance number is 0, if power is 0 in power matrix, then it represents that the D2D of the position is not to being multiplexed the position pair Otherwise the subchannel answered indicates multiplexing.
The effect of the present invention can be further illustrated by following emulation experiment.
1. simulated conditions:
It is single cell that a base station, which is arranged, in the emulation experiment of the present invention, and radius of society 500m, setting D2D user is 5 pairs, Phone user is 15, and the bandwidth per sub-channels is 10kHz, and all users divide at random apart from the base station at least region of 100m Cloth is arranged the distance between sending and receiving end of each pair of D2D user and is no more than 100m.
2. emulation content:
Emulation 1, with the method for the present invention and existing single cost function method, full multiplexing method, random power distribution side Method emulates system when D2D user's number changes, obtains throughput of system, the results are shown in Figure 3, wherein single generation The cost function of valence functional based method is Indicate that cost coefficient, random algorithm refer to that D2D user randomly chooses honeycomb The frequency spectrum resource of user is multiplexed, and full multiplexing algorithm refers to that each pair of D2D user is multiplexed the frequency spectrum of all phone users and leads to Letter.
As seen from Figure 3, when D2D user changes in system, the throughput of system that the method for the present invention obtains is higher than identical item Other methods under part, full multiplexing algorithm and random power distribution algorithm effect are close, but all in all throughput of system is still Less than the method for the present inventionThough single cost function method can guarantee that the service quality QoS of user, throughput of system are obviously low In other algorithms.
Emulation 2, with the method for the present invention and existing single cost function method, fixed cellular user power method, random Power distribution method emulates system when phone user's number changes, obtains throughput of system, and the results are shown in Figure 5, Wherein fixed cellular user power method is the method for only adjusting D2D user powers.
As seen from Figure 5, the throughput of system that the method for the present invention obtains is higher than the other methods under the same terms.Full multiplexing side The throughput of system of method is close to the method for the present invention, but this method can be realized simultaneously the distribution of power and frequency spectrum.Full multiplexing side There is no the processes that frequency spectrum distributes for method.
Emulation 3 carries out system emulation, root when D2D logarithms are 9 pairs, and phone user's number is 15 with the method for the present invention According to the power matrix that emulation obtains, subchannel multiplexed situation is determined, as shown in figure 4, the horizontal axis in Fig. 4 indicates D2D user's subscript, The longitudinal axis indicates that subchannel subscript, grey grid indicate that subchannel is re-used, and white grid indicates that subchannel is not re-used.
From fig. 4, it can be seen that each pair of D2D user can be multiplexed the frequency spectrum of multiple phone users to improve handling up for system Amount, so traditional a pair of of D2D only allows the method for being multiplexed phone user's frequency spectrum that can limit the promotion of throughput of system.

Claims (4)

1. the method for managing resource based on non-cooperative game in a kind of D2D communications, including:
(1) multipair D2D user and multiple phone users are randomly dispersed in single cell, each pair of D2D user is multiplexed multiple at random Phone user's CUE resources, and multipair D2D user selects the same CUE to be multiplexed;
(2) constraint for increasing each pair of D2D user traffic rate, i.e., according to emulation experiment scene setting i-th pair D2D in multiplexing the The data rate threshold value I of n phone user CUEthIf the data rate of phone user CUE is less than the threshold value I of settingth, Then by the power of D2D userIt sets to 0, ultimately forms power matrix, the distribution condition of power and frequency spectrum is determined according to power matrix;
(3) the combination cost function form of non-cooperative game is built
WhereinIndicate the interference that i-th pair D2D user is subject to when being multiplexed n-th of subchannel, I-th pair D2D, j-th of bee are indicated respectively Nest user CUE, transmission power of the kth to D2D when being multiplexed n-th of subchannel, gi,i, gj,i, gk,iIndicate i-th pair D2D's respectively Originator-receiving end channel gain, the interference channel gain of j-th of phone user CUE to i-th pair D2D receivers, hair of the kth to D2D Penetrate interference channel gain of the machine to the receiver of i-th pair D2D, gi,BIndicate that the originator of i-th pair D2D arrives the channel gain of base station, N0 Indicate noise power N0=n0B, n0Indicate that noise power spectral density, B indicate that subchannel bandwidth, δ are a constant, IthIndicate every To the interference threshold value that D2D user is tolerated when being multiplexed phone user's CUE resource, ωi,nIndicate index;
The first part C1 of the combination cost function is the interference that the transmission power of joint D2D is subject to itself, cost function Second part C2 is joint D2D user to the interference of phone user with to total interference suffered by itself, and is multiplied by an index Form,For exponential function, the degree of harmful interference is characterized;
(4) phone user's transmission power is adjusted to optimize the data rate of phone user CUEs by water-filling algorithm;
(5) non-cooperative game between D2D pairs:
(5a) defines the non-cooperative game between D2D pairs:Wherein Ω=1 ..., K } it indicates Participant D2D user gathers, and K indicates D2D logarithms,Indicate i-th of participant D2DiSet of strategies, UiIndicate that i-th pair D2D is used Family D2DiRevenue function, Indicate i-th pair D2D user D2Di It is multiplexed data rate when n-th of subchannel,Indicate the maximum transmission power of i-th pair D2D user on each of the sub-channels, PiIndicate i-th pair D2D user D2DiTotal transmission power maximum value,Indicate each pair of D2D on each of the sub-channels minimum Data rate threshold value, N indicate subchannel number, also illustrate that the number of phone user CUE;
(5b) optimizes the i-th pair D2D user D2D defined in (5a)iIncome Ui
WhereinIt indicates incomes of the i-th pair D2D when being multiplexed n-th of phone user CUE;
(5c) theory analysis simultaneously proves non-cooperative gameNash Equilibrium Solution whether there is and uniquely:
IfIt is rightSecond dervative be less than 0, then Nash Equilibrium Solution is unique, execute step (6);Otherwise, Nash Equilibrium Solution differs Fixed unique, termination carries out resource management with Non-cooperative;
(6) judge whether power matrix is stablized:
The power joint of phone user and D2D user are constituted into a big power matrix P, judge whether the power matrix meets | P (ite)-P (ite-1) | < ε:If satisfied, then returning to power matrix, otherwise continue iteration, wherein ite indicates iterations, ε =10-8
(7) watt level and subchannel multiplexed situation of D2D user and phone user CUEs are determined according to the power matrix of return: If power is 0 in power matrix, then it represents that the D2D of the position is not to being multiplexed the corresponding subchannel in the position;Otherwise, indicate multiple With.
2. according to the method described in claim 1, it is characterized in that building the combination cost function of non-cooperative game in step (3) FormIt carries out as follows:
First part cost function C1 is arranged in (3a), and to reduce the interference between D2D user, joint considers D2D user
The interference that transmission power is subject to own:
When transmission power is fixed, if own is by larger interference, D2D user is by smaller punishment;
Second part cost function C2 is arranged in (3b), to reduce interference of the D2D user to phone user,
Joint considers total interference that D2D user is subject to the interference of phone user with itself, and is multiplied by an exponential form,
When D2D user is larger to the interference of phone user, D2D user needs the cost paid to be exponentially increased, and effectively reduces Interference to phone user.
3. according to the method described in claim 1, it is characterized in that, step (4) adjusts phone user's power using water-filling algorithm To optimize the data rate of phone user CUEs, it is to be allocated to the transmission power of phone user according to channel conditions, that is, exists When bad channel, performance number of the distribution less than mean power;When channel is good, performance number of the distribution higher than mean power.
4. according to the method described in claim 1, it is characterized in that, in step (6) joint Power matrix structure, D2D user Power be a N rows K row matrix, the power of phone user CUE is the vector power of a N row 1 row, by phone user's Vector power is placed on behind the power matrix of D2D user, constitutes the joint Power matrix P of a N rows K+1 row.
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