CN107124756A - Fair Poewr control method based on Stackelberg games in a kind of cognition network - Google Patents
Fair Poewr control method based on Stackelberg games in a kind of cognition network Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
- H04W52/04—TPC
- H04W52/18—TPC being performed according to specific parameters
- H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
- H04W52/243—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account interferences
- H04W52/244—Interferences in heterogeneous networks, e.g. among macro and femto or pico cells or other sector / system interference [OSI]
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W24/00—Supervisory, monitoring or testing arrangements
- H04W24/06—Testing, supervising or monitoring using simulated traffic
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Abstract
The fair Poewr control method based on Stackelberg games in a kind of cognition network is claimed in the present invention, including：Initialization time user power；The pricing method of primary user is provided according to secondary user's initialization power；With reference to initialization time user power and the pricing method of primary user, the maximum return of primary user is calculated；For the pricing method of second step primary user, the maximum total revenue of time user is calculated；For the income of each user, the fair sex index of income between time user is calculated.The present invention is in the case where primary user knows time user for oneself interference channel information and in the case of the channel information of whole cognition network, consider the condition that the signal between time user is balanced with interference-to-noise ratio, it is Stackelberg games by the relationship modeling of primary user and time user, provide the closed solutions and the optimal pricing of primary user of the optimal power allocation of time user, this method can increase the income of primary user and improve the fairness of time user, have the advantages that practicality and feasibility are strong.
Description
Technical field
The invention belongs to power control techniques field in cognition network, in particular it relates to be based in cognition network
The fair Poewr control method of Stackelberg games.
Background technology
In cognition network, secondary user leases the frequency spectrum of primary user, accesses spectrum transmissions data.Primary user makes to secondary user
Into interference charged, it is ensured that the service quality of itself.First, primary user formulates rational pricing method to each user
So that total interference that secondary user causes to it is less than certain thresholding, Price factor is broadcast to each user；Secondary user is based on
The Price factor controls the transmission power of itself by cooperative game, under signal and interference-to-noise ratio equilibrium condition it is maximum from
The total revenue of body.This interactive relation between primary user and secondary user is generally modeled as Stackelberg games.Due to primary
The price at family will influence the power demand of time user, so as to influence the income of oneself.Therefore, primary user in order to ensure maximize from
Body income, primary user needs to control the power of time user using rational pricing strategy, while improving the public affairs between time user
Levelling.Primary user's price is too low, and the interference to primary user of secondary user will be excessive, so that more than the interference threshold of primary user；
And primary user's price is too high, time demand of user's access frequency spectrum is caused to reduce, so that the income reduction of itself.Therefore, need
A kind of preferable pricing strategy is wanted on the premise of primary user's service quality is ensured, rationally the transmission power of control time user, most
Fairness between the income of bigization householder user, the income of secondary user and raising time user.
In recent years, the power of time user is controlled to be studied based on Stackelberg game methods in cognition network
Just receive more and more attention.Pertinent literature and patent are as follows to be found to existing literature and patent retrieval：
Yuan Wu et al. exist《2011IEEE Transactions on Wireless Communications,
Jan.2011,vol.10,no.1,pp.12–19.》On delivered entitled " Joint Pricing and Power
Allocation for Dynamic Spectrum Access Networks with Stackelberg Game Model”
Article.This article ensures the service quality of primary user, is modeled as the problem of by alliance pricing in cognition network and Power Control
A kind of Stackelberg problem of game, it is proposed that new pricing model.Under certain interference threshold, primary user is to secondary user's
Interference charged and allows time user access base station, it is proposed that a kind of heuristic algorithm of low complex degree maximizes primary user's
Income.Xin Kang et al. exist《2012IEEE Journal on Selected Areas in Communications,
Apr.vol.30,no.3,pp.538–549.》On delivered entitled " Price-based resource allocation for
spectrum-sharing femtocell networks:A stackelberg game approach " article.This article
The resource allocation policy based on price in double-deck femtocell network is have studied, wherein primary user passes through to from secondary user's
Interference is fixed a price for protecting self communication, and the resource allocation problem between primary user and secondary user is constructed
Stackelberg games.Propose the income that a kind of incomparable inconsistent pricing model carrys out maximum primary user.Because the algorithm is to pass through
The interference of the worst case of secondary user is decoupled to interfering between time user, so that mutual between neglecting time user
Interfering link, the Poewr control method that the pricing method is obtained is suboptimum, can not maximize the income of primary user.
Z.Wang et al. exists《2015Chinese Journal of Electronics,Apr.2015,vol.24,no.2,pp.393-
397.》On delivered entitled " Optimal Price-Based Power Control Algorithm with Quality of
Service Constraints in Cognitive Radio Networks " article.This article uses in cognition network times
The Power Control Problem at family and the pricing problem of primary user, which are combined, is modeled as Stackelberg problem of game, it is proposed that one kind is recognized
Ensure the optimal pricing algorithm of time QoS of customer in Hownet road.King is just strong et al. to be carried in patent ZL201210565841.4
The pricing method of revenue of primary user is gone out in a kind of cognition network to maximize, one kind is proposed based on Stackelberg games and changed
The pricing method in generation searches for the optimal pricing of primary user.
But above-mentioned institute's extracting method, which is all lower floor's problem of game between modeling time user, employs non-cooperative game, and
Non-cooperative game is not considered time user resources distributional equity, deposited on the whole due to the selfishness of user resources from system
In performance loss.From correlative study, in order to maximize the income of primary user, its service quality is met, it is necessary to ensure time use
Total interference at family is less than interference threshold, therefore primary user takes each user certain pricing strategy to control time user's
Power.The present invention is based on the Stackelberg games between primary user and secondary user, by between secondary user in lower floor's game
Power Control Problem considers from global optimization angle, it is considered to the condition that signal is balanced with interference-to-noise ratio, export
Stackelberg, proposes to maximize the fair Poewr control method of revenue of primary user and time user's optimal power allocation.
The content of the invention
Present invention seek to address that above problem of the prior art.Propose it is a kind of improve the income of primary user, and increase
Fair Poewr control method based on Stackelberg games in the total revenue of secondary user and the cognition network of fairness.This
The technical scheme of invention is as follows：
Fair Poewr control method based on Stackelberg games in a kind of cognition network, it comprises the following steps：
1) primary user and time fair Power control model of the user based on Stackelberg games are set up, the model includes 1
Individual primary user and n a time user, wherein primary user are the leader of Stackelberg games, n user's conducts
Follower in Stackelberg games, leader fixes a price for reducing what is produced by them by the jamming power to follower
Total interference, according to this price, primary user maximizes the income of oneself, and all times user considers signal and interference and noise ratio
Equilibrium condition, the total revenue of time user is maximized in overall game mode；
2) based on signal and interference and noise ratio equilibrium condition, cognition network is based on using variable replacement method
The fair Power control model problem of Stackelberg games is derived, and obtains time user i optimum transmission powerClose
Formula expression formula isWherein parameter y*Value be
N is the number of time user, hiBe time user i to the channel gain of base station, T is the interference threshold of primary user, hi0It is time user
To the channel gain of primary user, σ2It is ambient noise, L is the spreading gain of cognitive user, initializes the secondary user i of cognition network
Optimum transmission power be
3) according to the pricing strategy and power control strategy that Stackelberg games are used between primary user and secondary user
Between optimal response relation, by step 2) secondary user's initialization power provides the optimal price λ of primary user*For：Wherein, w is the preference heterogeneity of time user；
4) combine step 2) and step 3), with reference to secondary user signal and interference and noise ratio equilibrium condition and utilize step
1) utility function of primary user and the utility function of time user, obtain the maximum return u of primary userpFor：Its
In, λ*For the optimal price of primary user, hi0It is channel gain of time user to primary user,It is time user i optimal transmitting work(
Rate；The maximum return u of secondary usersFor：
Further, the step 1) in the maximization of utility problem of primary user be expressed as：
Wherein, upFor the income of primary user, λ is the price of primary user, hi0It is time user to the channel gain of primary user, pi
For secondary user i power, T is the interference threshold of primary user.
Further, the step 1) in time user utility maximization problems be：
s.t.γi(p)=γj(p)(i,j∈{1,...,n})
Wherein, p=(p1..., pn) for the transimission power of time user, piFor secondary user i transimission power, usFor secondary user
Income, w is the preference heterogeneity of time user, γi(p) it is time user i signal and interference and noise ratio,hiIt is channel gains of the secondary user i to secondary user base station, L is the spreading gain of cognitive user,
σ2It is ambient noise, constraints represents signal and interference and noise ratio equilibrium condition, the fairness for ensureing time user.
Advantages of the present invention and have the beneficial effect that：
The invention provides the fair Poewr control method based on Stackelberg games in a kind of cognition network.This hair
Bright to enable to primary user in the case where knowing the channel information and preference heterogeneity of time user, secondary user is obtained by cooperating
The maximum total revenue of itself.In the case of secondary subscriber signal and interference-to-noise ratio balance, it is with time user modeling by primary user
Stackelberg games.The pricing method is before ensureing that interference of time user for primary user is less than given interference threshold
Put, find the closed expression of the optimal pricing factor of primary user and the optimal power allocation scheme of time user, algorithm is complicated
Degree is low, than the income that unified price algorithm improves primary user, and adds the total revenue and fairness of time user.
Brief description of the drawings
Fig. 1 be the present invention provide preferred embodiment offer cognition network in the justice based on Stackelberg games
The flow chart of Poewr control method；
Revenue of primary user curve maps of the Fig. 2 for the present invention when secondary number of users increases to 30 from 1；
Secondary user total revenue curve figures of the Fig. 3 for the present invention when secondary number of users increases to 30 from 1；
The fair index of secondary user incomes of the Fig. 4 for the present invention when secondary number of users increases to 30 from 1.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, detailed
Carefully describe.Described embodiment is only a part of embodiment of the present invention.
The present invention solve above-mentioned technical problem technical scheme be：
The present embodiment is the fair power control scheme based on Stackelberg games, and ambient noise is the height of zero-mean
This white noise value σ2=10-12W, the preference heterogeneity w=1 of secondary user, the spreading gain L=64 of secondary user, the interference of primary user
Thresholding T=10-10W, secondary user distribution is in the 200m radius centered on base station, the distance of primary user's receiving terminal to base station
For 300m, secondary user i to oneself base station channel gainChannels of the secondary user i to primary user's receiving terminal
Gain isWherein K shows the antenna gain of system, the influence of the parameter such as carrier spectrum, value 103；αiWith
βiIt is to meet zero-mean, standard deviation is 6dB Gaussian Profile；diAnd siRespectively secondary user i is received to base station and to primary user
The distance at end, as a result passes through 104Secondary emulation is averaged.
The first step, initializes each user i optimal transmission power ParameterWherein, n is the number of time user, hiIt is time user i to base station
Channel gain, T is the interference threshold of primary user, hi0It is time user to the channel gain of primary user, σ2It is ambient noise, L is to recognize
Know the spreading gain of user.
Second step, the optimal price λ of primary user*For：
Wherein, w is the preference heterogeneity of time user.
3rd step：The maximum return u of primary userpFor：Wherein, λ*For the optimal price of primary user,
hi0It is channel gain of time user to primary user,It is time user i optimal transmission power.
4th step：The maximum return u of secondary usersFor：
Wherein, w is the preference heterogeneity of time user, and n is the number of time user, and L is the spreading gain of cognitive user, parameterσ2It is ambient noise, λ*For the optimal price of primary user, hi0It is time use
Family i is to the channel gain of primary user, hiIt is channel gains of time user i to base station.
In the present embodiment, Fig. 2, which gives, is respectively adopted unified price method and the present embodiment method (FPCA) obtains
Revenue of primary user curve map；Fig. 3 is that the secondary user that unified price method and the present embodiment method (FPCA) obtain is respectively adopted is total
Yield curve figure；Fig. 4 is the public affairs that secondary user's income that unified price method and the present embodiment method (FPCA) are obtained is respectively adopted
Flat index curve diagram, fair sex index uses the fair index f of Jain, and its computational methods isWherein, uiFor
For secondary user i income, n is the number of time user.As seen from Figure 2：Carried implementation is obtained more compared with unified price method
High revenue of primary user.As seen from Figure 3：When the quantity of secondary user is more than 4, institute's extracting method is compared with time that unified price method is obtained
The total revenue of user is higher, as seen from Figure 4：Institute's extracting method compared with secondary user's income that unified price method is obtained fair index more
It is high.Understand that institute's extracting method lifts the fairness of cognition network than traditional unified price method with reference to Fig. 2, Fig. 3, Fig. 4.This method
The optimal pricing strategy and maximum return of primary user is obtained, institute's extracting method can be efficiently solved in cognition network based on price
The relevant issues such as Power Control.
The above embodiment is interpreted as being merely to illustrate the present invention rather than limited the scope of the invention.
After the content for the record for having read the present invention, technical staff can make various changes or modifications to the present invention, these equivalent changes
Change and modification equally falls into the scope of the claims in the present invention.
Claims (3)
1. the fair Poewr control method based on Stackelberg games in a kind of cognition network, it is characterised in that including following
Step：
1) primary user and time fair Power control model of the user based on Stackelberg games are set up, the model includes 1 master
User and n time users, wherein primary user are the leader of Stackelberg games, and n time users are used as Stackelberg
Follower in game, leader fixes a price for reducing the total interference produced by them by the jamming power to follower, according to
This price, primary user maximizes the income of oneself, and all times user considers signal and interference and noise ratio equilibrium condition, with
Overall game mode maximizes the total revenue of time user；
2) based on signal and interference and noise ratio equilibrium condition, Stackelberg is based on to cognition network using variable replacement method
The fair Power control model problem of game is derived, and obtains time user i optimum transmission powerClosed expression beWherein parameter y* value isN is time user
Number, hiBe time user i to the channel gain of base station, T is the interference threshold of primary user, hi0It is time user to primary user
Channel gain, σ2It is ambient noise, L is the spreading gain of cognitive user, initializes the secondary user i of cognition network optimal transmitting
Power is
3) according between the pricing strategy and power control strategy that Stackelberg games are used between primary user and secondary user
Optimal response relation, by step 2) secondary user's initialization power optimal price λ * for providing primary user are：Wherein, w is the preference heterogeneity of time user；
4) combination step 2) and step 3), with reference to signal and interference and the noise ratio equilibrium condition and utilization step 1 of secondary user) it is main
The utility function of user and the utility function of time user, obtain the maximum return u of primary userpFor：Wherein,
λ * are the optimal price of primary user, hi0It is channel gain of time user to primary user,It is time user i optimum transmission power；
The maximum return u of secondary usersFor：
2. the fair Poewr control method based on Stackelberg games in cognition network according to claim 1, it is special
Levy and be, the step 1) in the maximization of utility problem of primary user be expressed as：
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Wherein, upFor the income of primary user, λ is the price of primary user, hi0It is time user to the channel gain of primary user, piTo be secondary
User i power, T is the interference threshold of primary user.
3. the fair Poewr control method based on Stackelberg games in cognition network according to claim 1, it is special
Levy and be, the step 1) in time user utility maximization problems be：
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1
s.t.γi(p)=γj(p)(i,j∈{1,...,n})
Wherein, p=(p1,…,pn) for the transimission power of time user, piFor secondary user i transimission power, usFor the receipts of secondary user
Benefit, w is the preference heterogeneity of time user, γi(p) it is time user i signal and interference and noise ratio,
hiIt is channel gains of the secondary user i to secondary user base station, L is the spreading gain of cognitive user, σ2It is ambient noise, constraints
Signal and interference and noise ratio equilibrium condition are represented, the fairness for ensureing time user.
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108092729A (en) * | 2017-12-29 | 2018-05-29 | 中国人民解放军陆军工程大学 | Anti-interference model and Stenberg game sub-gradient algorithm in unmanned aerial vehicle communication |
| CN110049566A (en) * | 2019-04-29 | 2019-07-23 | 西北工业大学 | A kind of downlink power distributing method based on multiple no-manned plane secondary communication path |
| CN110571872A (en) * | 2019-09-09 | 2019-12-13 | 江苏方天电力技术有限公司 | Pumped storage power station phase modulation compensation method based on Stackelberg game model |
| CN111092674A (en) * | 2019-11-29 | 2020-05-01 | 全球能源互联网研究院有限公司 | Resource allocation method and device of power cognitive wireless network |
| CN112583460A (en) * | 2020-12-08 | 2021-03-30 | 重庆邮电大学 | QoE-based MIMO-NOMA system power distribution method |
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| CN108092729A (en) * | 2017-12-29 | 2018-05-29 | 中国人民解放军陆军工程大学 | Anti-interference model and Stenberg game sub-gradient algorithm in unmanned aerial vehicle communication |
| CN113287343A (en) * | 2019-02-01 | 2021-08-20 | 索尼集团公司 | Electronic device and method for wireless communication, computer-readable storage medium |
| US11849406B2 (en) | 2019-02-01 | 2023-12-19 | Sony Group Corporation | Electronic device and method for wireless communication, and computer-readable storage medium |
| CN113287343B (en) * | 2019-02-01 | 2024-04-30 | 索尼集团公司 | Electronic device and method for wireless communication, computer-readable storage medium |
| CN110049566A (en) * | 2019-04-29 | 2019-07-23 | 西北工业大学 | A kind of downlink power distributing method based on multiple no-manned plane secondary communication path |
| CN110049566B (en) * | 2019-04-29 | 2020-09-01 | 西北工业大学 | Downlink power distribution method based on multi-unmanned-aerial-vehicle auxiliary communication network |
| CN110571872A (en) * | 2019-09-09 | 2019-12-13 | 江苏方天电力技术有限公司 | Pumped storage power station phase modulation compensation method based on Stackelberg game model |
| CN111092674A (en) * | 2019-11-29 | 2020-05-01 | 全球能源互联网研究院有限公司 | Resource allocation method and device of power cognitive wireless network |
| CN112583460A (en) * | 2020-12-08 | 2021-03-30 | 重庆邮电大学 | QoE-based MIMO-NOMA system power distribution method |
| CN112583460B (en) * | 2020-12-08 | 2023-02-03 | 重庆邮电大学 | QoE-based MIMO-NOMA system power distribution method |
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Application publication date: 20170901 |
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