CN105007585B - Power distribution method based on outage probability efficiency maximum - Google Patents
Power distribution method based on outage probability efficiency maximum Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W16/00—Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
- H04W16/14—Spectrum sharing arrangements between different networks
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/04—Wireless resource allocation
- H04W72/044—Wireless resource allocation based on the type of the allocated resource
- H04W72/0473—Wireless resource allocation based on the type of the allocated resource the resource being transmission power
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- Y—GENERAL 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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Abstract
The invention discloses a kind of power distribution methods based on outage probability efficiency maximum, and efficiency maximization problems can not be obtained by mainly solving existing cognitive radio power distribution method.Implementation step is：1. arrange parameter simultaneously initializes it；2. the Lagrange multiplier τ for meeting average transmitting power constraints and the Lagrange multiplier μ for meeting average interference power constraints is obtained；3. the transmission power P based on outage probability after nth iteration is calculated according to the multiplier τ and μn；4. it is P to be calculated respectively in transmission powernWhen efficiency function fn(η) and efficiency ηn ；5. couple efficiency function fn(η) makes decisions, if meeting iteration stopping condition, obtains the best transmission power under best efficiency and best efficiency, otherwise continues cycling through, and until meeting condition or reaching maximum iteration, obtains best efficiency at this time and best transmission power.There is the present invention efficiency to maximize, and step number needed for iteration stopping is few, it is easy to accomplish the advantages of, available for wirelessly communicating.
Description
Technical field
The invention belongs to wireless communication technology field, more particularly to a kind of power distribution based on outage probability efficiency maximum
Method, available for the maximized power distribution of secondary user's efficiency in green cognitive radio system.
Background technology
With wireless and mobile communication rapid development, growing wireless frequency spectrum demand and limited frequency spectrum resource it
Between contradiction have become the conspicuous contradiction of Current wireless communication industry, however at the same time, and there is the frequencies largely authorized
The phenomenon that spectrum is idle or utilization rate is extremely low.In order to improve the low present situation of the availability of frequency spectrum, J.Mitola et al. is proposed
The concept of cognitive radio, main thought be in the frequency range authorized, under the premise of primary user's normal communication is not influenced,
Secondary user's is allowed to be linked into current frequency range, so as to greatly improve the availability of frequency spectrum.Secondary user's transmission is maximized in order to reach
Rate and the purpose for protecting authorized user as possible, the necessary optimal allocation transmission power of secondary user's, to reduce as possible to authorizing
The interference of user's normal communication, therefore the power distribution research in cognitive radio receives the extensive concern of domestic and foreign scholars.
At the same time, ubiquitous wireless traffic and the mobile number of devices sharply increased cause a large amount of energy to disappear
The discharge of consumption and greenhouse gases.Green communications network is that future wireless network designs inevitable trend.Green communications network
Thought be, in the case of maximization network efficiency, provide optimal user experience.
Existing optimal power contribution strategy is designed mainly for following two mechanism：
1) opportunistic spectrum access mechanism.The thought of opportunistic spectrum access mechanism is that secondary user's are detecting primary user not
In the presence of in the case of, secondary user's are transmitted using primary user's frequency range.Under the mechanism, secondary user's need quickly and accurately right
Primary user's frequency range is detected.Since existing frequency spectrum perception technology cannot reach the detection result of entirely accurate, work as primary user
It is not present, but in the presence of secondary user's erroneous judgement primary user, secondary user's can be abandoned using the frequency range protecting primary user；And as master
User exists, but in the absence of secondary user's erroneous judgement primary user, secondary user's are transmitted using primary user's frequency range, will be to primary
Family generates interference.Therefore the design of optimal power contribution strategy can not only play the role of protecting primary user in the mechanism, and
And secondary user's peak transfer rate can be provided.
2) spectrum sharing mechanisms.Under spectrum sharing mechanisms, secondary user's and primary user share same frequency range, and secondary is used
Family does not need to be detected primary user's state.Under the mechanism, in order to ensure the service quality of primary user, secondary user's need
Its transmission power of optimal design.Due under spectrum sharing mechanisms, spectrum efficiency higher and secondary user's can obtain better clothes
Business quality, therefore under spectrum sharing mechanisms, design optimal power contribution strategy is even more important.
Under traditional cognitive radio frequency spectrum shared mechanism, existing power distribution method (1：X.Kang,
Y.C.Liang,A.Nallanathan,H.K.Garg,R.Zhang,“Optimal power allocation for fading
channels in cognitive radio networks:ergodic capacity and outage capacity”
IEEE Trans.Wireless Commun.,vol.8,no.2,pp.940-950,2009.2：L.Musavian and
S.Aissa,“Capacity and power allocation for spectrum sharing communications in
fading channels”IEEE Trans.Wireless Commun.,vol.8,no.1,pp.148-156,Jan.2009.)
This method is under given constraints, according to channel condition, by adjusting secondary user's transmission power, is reached so that secondary
Grade user outage probability minimizes.This power distribution method is only received with constraints, secondary user's transmitting terminal to secondary user's
End, channel gain of the secondary user's transmitting terminal to primary user's receiving terminal, primary user's transmitting terminal to secondary user's receiving terminal, primary user
Transmission power, the noise power of secondary user's receiving terminal are related, and with efficiency and the power amplification factor of secondary user's transmitting terminal
It is unrelated.This power distribution method due to not accounting for influence of the efficiency of secondary user's acquisition to power distribution, then cannot
Ensure that secondary user's obtain maximum efficiency, generate a large amount of additional energy consumption and the discharge of greenhouse gases, cause unnecessary
Energy waste.
Invention content
It is an object of the invention in view of the above shortcomings of the prior art, propose a kind of maximum based on outage probability efficiency
Power distribution method to improve the efficiency of secondary user's, reduces energy waste.
To achieve the above object, technical method of the invention includes the following steps：
(1) secondary user's according to required fault-tolerant error, Lagrangian iteration effect, wish the outage capacity obtained and
Maximum demand iterations, setting efficiency function fault-tolerant error ξ ＞ 0, outage capacity rsBit/multiple dimension, maximum iteration N,
Average transmitting power constrains corresponding convergence error ξ1＞ 0, average interference power constrain corresponding convergence error ξ2＞ 0, it is average to send out
Send power constraint corresponding Lagrange multiplier iteration step length t1＞ 0, average interference power constrain corresponding Lagrange multiplier
Iteration step length t2＞ 0；
(2) secondary user's initialization efficiency η=0, average transmitting power constrain corresponding Lagrange multiplier τ=τ0, put down
Equal jamming power constrains corresponding Lagrange multiplier μ=μ0, secondary user's transmission power PnWith efficiency ηnIterations n=
0；
(3) secondary user's iterate to calculate best transmission power P：
(3.1) secondary user's calculate meets secondary user's outage capacity r under each fading conditionsTransmission power y：
Wherein gssFor secondary user's transmitting terminal to receiving terminal channel power gain, hpsIt is used for primary user's transmitting terminal to secondary
Family receiving terminal channel power gain, PmFor the constant transmission power of primary user,Represent the noise variance of secondary user's receiving terminal；
(3.2) secondary user's calculate the transmission power P under each fading conditionn：
Wherein ρ be the power amplification factor, gspFor secondary user's transmitting terminal to primary user's receiving terminal channel power gain, ηn-1
The efficiency obtained for (n-1)th iteration of secondary user's；
(3.3) secondary user's are according to average transmitting power constraintsWith average interference power constraintsBy subgradient iterative algorithms through k >=1 time iteration, calculate average transmitting power constraint and correspond to
Lagrange multiplier τkCorresponding Lagrange multiplier μ is constrained with average interference powerk：
WhereinWithRespectively the constraint of secondary user's maximum average transmitting power and secondary user's equal primary user's maximum
Equal jamming power constraint, E { } are represented to seeking mathematic expectaion；
(3.4) according to the Lagrange multiplier τ calculatedkAnd μk, calculate transmission power
(3.6) secondary user's calculate nth iteration efficiency function f respectivelyn(η) and nth iteration efficiency ηn：
Wherein PCFor the consumption power of permanent circuit,Calculation expression be：
(3.7) secondary user's are to efficiency function fn(η) makes decisions：If | fn(η) | the transmission power of≤ξ, then n-thFor the best transmission power P of secondary user's efficiency, efficiency ηnThe maximum efficiency η that as secondary user's obtain；Conversely, judge iteration
Whether number reaches maximum iteration n≤N, if reaching maximum iteration, transmission power at this timeIt is used for secondary
Family efficiency best transmission power P, efficiency ηnThe maximum efficiency η obtained for secondary user's；Otherwise, continue iteration, change until meeting
In generation, terminates constraints.
The present invention has the following advantages：
1st, the present invention can be obtained under secondary user's average transmitting power and average interference power constraints higher than tradition
The maximum efficiency obtained based on the best transmission power method of frequency spectrum share cognitive radio.
2nd, the present invention can be quickly obtained the efficiency optimal power contribution in the case of maximum efficiency.
3rd, the present invention can ensure use of the secondary user's in maximum efficiency while primary user's service quality is ensured
Family service quality.
4th, computation complexity of the present invention is low, can extensive use in practice.
Description of the drawings
Fig. 1 is the realization flow chart of the present invention；
Fig. 2 is the maximum efficiency obtained using the present invention and existing two kinds of power distribution methods, secondary user's
Comparison diagram；
Fig. 3 is the probability that secondary user's are interrupted using the present invention and existing two kinds of power distribution methods
Comparison diagram；
Fig. 4 is the maximum efficiency figure that secondary user's obtain using the present invention under different channels model；
Fig. 5 is using the present invention and now there are two types of transmission power method, and secondary user's obtain under different transmission powers
Maximum efficiency comparison diagram.
Specific embodiment
With reference to Fig. 1, realization step of the invention is as follows：
Step 1, cognitive user setting target component.
Secondary user's according to required fault-tolerant error, Lagrangian iteration effect, wish the outage capacity obtained and most
It is big to need iterations, setting efficiency function fault-tolerant error ξ ＞ 0, outage capacity rsBit/multiple dimension, maximum iteration N are put down
Equal transmission power constrains corresponding convergence error ξ1＞ 0, average interference power constrain corresponding convergence error ξ2＞ 0, it is average to send
The corresponding Lagrange multiplier iteration step length t of power constraint1＞ 0, average interference power constrain corresponding Lagrange multiplier and change
Ride instead of walk long t2＞ 0；
The fault-tolerant error of efficiency function is smaller, it may be necessary to iterations it is more, iterations additionally depend on average interference
Constraints, average transmitting power constraints, road fading condition and efficiency optimum power level size.The selection of iteration step length
It is the key influence factor of step number needed for iteration stopping, according to the loose of constraints, select appropriate iteration step length, can guarantee
Optimum solution quickly is obtained, when iteration step length is set as constant, the dissociation optimum solution that subgradient algorithms can guarantee is non-
Very close to；
Step 2, secondary user's parameter is initialized.
The selection of Lagrange multiplier initial value is bigger on step number influence needed for iteration, when the Lagrange of selection is initial
When value is close to the Lagrange multiplier for meeting constraints, step number needed for iteration stopping is less, if the initial value of selection is paid no attention to
Think, subgradient algorithms need successive ignition that can just obtain final Lagrange multiplier.Therefore, Lagrangian initial value
Selection it is extremely important, loose generally according to constraints is suitably selected, when constraints is tighter, Lagrange
Initial value selection is relatively large, conversely, the selection of Lagrange multiplier initial value is relatively small；
Secondary user's initialization efficiency η=0 in this example, the corresponding Lagrange multiplier τ of average transmitting power constraint=
τ0, the corresponding Lagrange multiplier μ=μ of average interference power constraint0, secondary user's transmission power PnWith efficiency ηnIteration time
Number n=0；
Step 3, secondary user's iterate to calculate best transmission power P.
(3.1) secondary user's, which calculate, ensures secondary user's outage capacity r under each fading conditionsMinimum transmission power y：
Wherein gssFor secondary user's transmitting terminal to receiving terminal channel power gain, hpsIt is used for primary user's transmitting terminal to secondary
Family receiving terminal channel power gain, PmFor the constant transmission power of primary user,Represent the noise variance of secondary user's receiving terminal；
(3.2) secondary user's calculate the transmission power P under each fading conditionn：
Wherein ρ be the power amplification factor, gspFor secondary user's transmitting terminal to primary user's receiving terminal channel power gain, ηn-1
The efficiency obtained for (n-1)th iteration of secondary user's；
According to the calculation expression of the transmission power under each fading condition, it can be seen that the transmission work(of each fading condition
Rate can be adaptive transmission power is adjusted according to channel status situation, so as to reach under various fading conditions, average efficiency
Most preferably；
(3.3) secondary user's are according to average transmitting power constraintsWith average interference power constraintsBy subgradient iterative algorithms through k >=1 time iteration, calculate average transmitting power constraint and correspond to
Lagrange multiplier τkCorresponding Lagrange multiplier μ is constrained with average interference powerk：
WhereinWithRespectively the constraint of secondary user's maximum average transmitting power and secondary user's equal primary user's maximum
Equal jamming power constraint, E { } are represented to seeking mathematic expectaion；
The maximum average transmitting power constraint is loose with maximum average interference power constraints, to iteration stopping institute
Need step number that there is large effect, when the constraint of maximum average transmitting power and looser maximum average interference power constraint, repeatedly
Step number needed for generation stopping is less, conversely, step number is larger needed for iteration stopping；
(3.4) according to the Lagrange multiplier τ calculatedkAnd μk, calculate transmission power
(3.6) secondary user's calculate nth iteration efficiency function f respectivelyn(η) and nth iteration efficiency ηn：
Wherein PCPower is consumed for permanent circuit,Calculation expression be：
What efficiency function can react that secondary user's under per unit joule power obtain goes through state capacity, i.e., in the various declines of channel
Under the conditions of user obtain efficiency mathematic expectaion, so as to embody the average efficiency of secondary user's；
The maximization of efficiency is can be seen that from efficiency calculation expression, not equal under conventional cognitive radio, going through state capacity
It maximizes, therefore the best transmission power under state maximum capacity is gone through under conventional cognitive radio, it is impossible to ensure that secondary user's obtain
Obtain maximum efficiency；
(3.7) secondary user's are to efficiency function fn(η) makes decisions：If | fn(η) | the transmission power of≤ξ, then n-thFor the best transmission power P of secondary user's efficiency, efficiency ηnThe maximum efficiency η that as secondary user's obtain；Conversely, judge iteration
Whether number reaches maximum iteration n≤N, if reaching maximum iteration, transmission power at this timeIt is used for secondary
Family efficiency best transmission power P, efficiency ηnThe maximum efficiency η obtained for secondary user's；Otherwise, continue iteration, change until meeting
In generation, terminates constraints；
The selection of maximum iteration can need fault-tolerant error size to be achieved to be selected, such as according to secondary user's
The fault-tolerant error very little that fruit secondary user's need, then maximum iteration selection is big, and otherwise, secondary user's can select relatively
Smaller maximum iteration, so as to be quickly obtained efficiency and power sending strategy.
The impact of performance of the present invention can be further illustrated by following emulation：
A, simulated conditions
Secondary user's transmitting terminal power amplification factor ρ and circuit constant power consumption PC0.2 and 0.05 watt is respectively set to,
Secondary user's receive noise variance and are set as 0.01, primary user's transimission power PmIt is set as 60 milliwatts, Lagrangian iteration step
Long t1、t20.1 is both configured to, fault-tolerant error ξ, ξ1,ξ20.0001 is both configured to, channel realizes that number is 100000, gss、gspWith
hpsFor power gain under Rayleigh channel, exponential distribution is obeyed, mean value is respectively set to 2,1.5 and 1.5, and secondary user's target is interrupted
Capacity rsIt is set as 1 bit/multiple dimension.
The constraint of the average transmitting power of emulation 1 and emulation 2 is set as 100 milliwatts, and average interference power is set as 0 milliwatt and arrives
100 milliwatts.The m of the nagakami-m fading channels of emulation 3 is set as 0.5, and average transmitting power constraint is set as 100 milliwatts,
Average interference power is set as 0 milliwatt to 100 milliwatts.The average interference power of emulation 4 is set as 10 milliwatts and 50 milliwatts, average
Transmission power is set as 0 milliwatt to 100 milliwatts.
B, emulation content
Emulation 1：Using the present invention and the existing power distribution method based on outage probability minimum, secondary user's are obtained
The maximum efficiency obtained is compared, and the results are shown in Figure 2." efficiency maximization " represents to exist using secondary user's of the present invention in Fig. 2
The maximum efficiency obtained under the average transmitting power constraints of 100 milliwatts, " outage probability minimum " are represented using based on biography
The best transmission power method of frequency spectrum share outage probability of system, secondary user's are in the average transmitting power constraints of 100 milliwatts
The maximum efficiency of lower acquisition.
Emulation 2：Using the present invention and the existing power distribution method based on outage probability minimum, secondary user's are sent out
Raw outage probability is compared, and the results are shown in Figure 3." efficiency maximization " represents to sample secondary user's of the present invention 100 in Fig. 3
The outage probability obtained under the average transmitting power constraints of milliwatt, " outage probability minimum " are represented using based on tradition frequency
The best transmission power method of the shared outage probability of spectrum, secondary user's obtain under the average transmitting power constraints of 100 milliwatts
Outage probability.
Emulation 3：To under different channels model, average transmitting power is constrained in the case of 100 milliwatts, secondary user's
The maximum efficiency obtained using the present invention is emulated, and the results are shown in Figure 4.Four curves are shared in Fig. 4, wherein：
Curve 1 represents that with the present invention be Gaussian channel in secondary user's transmitting terminal to secondary user's receiving terminal, and primary user sends out
Sending end is Rayleigh channel to secondary user's receiving terminal, and secondary user's transmitting terminal to primary user's receiving terminal channel is the letter of Rayleigh channel
Under road model, maximum efficiency that secondary user's are obtained；
Curve 2 represents that with the present invention be Rayleigh channel in secondary user's transmitting terminal to secondary user's receiving terminal, and primary user sends out
Sending end to secondary user's receiving terminal be m be 0.5 when nakagami-m fading channels, secondary user's transmitting terminal to primary user receives
It holds under the channel model that channel is Rayleigh channel, the maximum efficiency that secondary user's are obtained；
Curve 3 represents that with the present invention be Rayleigh channel in secondary user's transmitting terminal to secondary user's receiving terminal, and primary user sends out
Sending end is Rayleigh channel to secondary user's receiving terminal, and secondary user's transmitting terminal to primary user's receiving terminal channel is m when being 0.5
Under nakagami-m fading channel models, maximum efficiency that secondary user's are obtained；
Curve 4 represents that with the present invention be Rayleigh channel in secondary user's transmitting terminal to secondary user's receiving terminal, and primary user sends out
Sending end is Rayleigh channel to secondary user's receiving terminal, and secondary user's transmitting terminal to primary user's receiving terminal channel is the letter of Rayleigh channel
Under road model, maximum efficiency that secondary user's are obtained.
Emulation 4：Using the present invention and the existing power distribution method based on outage probability minimum, to secondary user's
The maximum efficiency obtained under different transmission powers is compared, and the results are shown in Figure 5.
C, simulation result
It can be obtained by Fig. 2, it is existing based in frequency spectrum share under average interference power and average transmitting power constraints
The disconnected best transmission power method of probability cannot be guaranteed that secondary user's obtain maximum efficiency, and the present invention can guarantee that secondary user's obtain
Maximum efficiency.The present invention is compared with average transmitting power constraints, and average interference power constraints is loose, i.e. average interference
When power does not play effect of contraction, the maximum efficiency that secondary user's obtain is only dependent upon average transmitting power, and average transmitting power is about
Beam is looser, and the maximum efficiency that secondary user's obtain is bigger.
It can be obtained by Fig. 3, although the present invention is it cannot be guaranteed that secondary user's Transmission probability minimum, can guarantee secondary user's
Obtain maximum efficiency.
It can be obtained by Fig. 4, the channel fading of secondary user's transmitting terminal to secondary user's receiving terminal obtains secondary user's
Maximum efficiency rise detrimental effect, secondary user's transmitting terminal to primary user's receiving terminal and primary user's transmitting terminal to secondary user's reception
The maximum efficiency that the channel fading at end obtains secondary user's plays advantageous effect, and primary user's transmitting terminal connects to secondary user's
The decline of receiving end is more advantageous to secondary user's and obtains higher maximum efficiency.The reason is that secondary user's transmitting terminal to secondary
The decline of user's receiving terminal can increase the outage probability of secondary user's, and secondary user's transmitting terminal is to the decline of primary user's receiving terminal
It can play the role of reducing and primary user is interfered, the channel fading of primary user's transmitting terminal to primary user's receiving terminal can play reduction pair
The effect of secondary user's interference so as to reduce the outage probability of secondary user's, promotes secondary user's maximum efficiency.
It can be obtained by Fig. 5, the present invention can guarantee that secondary user's obtain maximum efficiency, and existing method cannot be guaranteed secondary user's
Obtain maximum efficiency.Under " average transmission power constraints is tighter, and average interference power constraint is more loose " this situation, most preferably
Transmission power is only dependent upon average transmission power, and two kinds of best transmission power is identical at this time, so as to two kinds of power distribution methods
Maximum efficiency can be obtained；And in " average transmission power constraints is more loose, and average interference power constraint is tighter " this situation
Under, best transmission power is only dependent upon average interference power, and the present invention can obtain higher efficiency at this time.
Summary simulation result and analysis, it is proposed by the invention based on outage probability efficiency optimal power contribution side
Method, can be so that secondary user's obtain maximum efficiency, and step number is few needed for iteration stopping, it is easy to accomplish, this causes the invention
It can preferably be applied in practice.
Claims (2)
1. a kind of power distribution method based on outage probability efficiency maximum, includes the following steps：
(1) secondary user's are according to required fault-tolerant error, Lagrangian iteration effect, the outage capacity and maximum for wishing acquisition
Need iterations, setting efficiency function fault-tolerant error ξ ＞ 0, outage capacity rsBit/multiple dimension, maximum iteration N are average
Transmission power constrains corresponding convergence error ξ1＞ 0, average interference power constrain corresponding convergence error ξ2＞ 0, averagely sends work(
Rate constrains corresponding Lagrange multiplier iteration step length t1＞ 0, average interference power constrain corresponding Lagrange multiplier iteration
Step-length t2＞ 0；
(2) secondary user's initialization efficiency η=0, average transmitting power constrain corresponding Lagrange multiplier τ=τ0, average interference
The corresponding Lagrange multiplier μ=μ of power constraint0, secondary user's transmission power PnWith efficiency ηnIterations n=0；
(3) secondary user's iterate to calculate best transmission power P：
(3.1) secondary user's calculate meets secondary user's outage capacity r under each fading conditionsMinimum transmission power y：
Wherein gssFor secondary user's transmitting terminal to receiving terminal channel power gain, hpsIt is received for primary user's transmitting terminal to secondary user's
Hold channel power gain, PmFor the constant transmission power of primary user,Represent the noise variance of secondary user's receiving terminal；
(3.2) secondary user's calculate the transmission power P under each fading conditionn：
Wherein ρ be the power amplification factor, gspFor secondary user's transmitting terminal to primary user's receiving terminal channel power gain, ηn-1It is secondary
The efficiency that (n-1)th iteration of grade user obtains；
(3.3) secondary user's pass through according to average transmitting power constraints and average interference power constraints
Subgradient iterative algorithms calculate average transmitting power and constrain corresponding Lagrange multiplier τ through k >=1 time iterationkWith
Average interference power constrains corresponding Lagrange multiplier μk；
The average transmitting power constraints and average interference power constraints, formula is as follows：
Average transmitting power constraints is：
Average interference power constraints is：
Wherein,WithRespectively the constraint of secondary user's maximum average transmitting power and secondary user's are averaged to primary user's maximum
Jamming power constrains,The transmission power after Lagrange multiplier is calculated for kth time, E { } is represented to seeking mathematic expectaion；
(3.4) according to the Lagrange multiplier τ calculatedkAnd μk, calculate transmission power
(3.5) judge the Lagrange multiplier τ iterated to calculate out every timekAnd μkWhether stopping criterion for iteration is met：If satisfied, then perform step (3.6), otherwise, return to step
(3.3)；
(3.6) secondary user's calculate nth iteration efficiency function f respectivelyn(η) and nth iteration efficiency η n：
Wherein PCFor the consumption power of permanent circuit,To interrupt indicator function, calculation expression is：
(3.7) secondary user's are to efficiency function fn(η) makes decisions：If | fn(η) | the transmission power of≤ξ, then n-thFor
Secondary user's efficiency best transmission power P, efficiency ηnThe maximum efficiency η that as secondary user's obtain；Conversely, judge iterations
Whether maximum iteration n≤N is reached, if reaching maximum iteration, transmission power at this timeFor secondary user's energy
Imitate best transmission power P, efficiency ηnThe maximum efficiency η obtained for secondary user's；Otherwise, continue iteration, until meeting iteration end
Only constraints.
2. it according to the method described in claim 1, is calculated in wherein described step (3.3) by subgradient iterative algorithms
Go out average transmitting power and constrain corresponding Lagrange multiplier τkCorresponding Lagrange multiplier μ is constrained with average interference powerk,
It is calculated by following formula：
Wherein,WithRespectively the constraint of secondary user's maximum average transmitting power and secondary user's are averagely dry to primary user's maximum
Power constraint is disturbed, E { } is represented to asking mathematic expectaion, t1Corresponding Lagrange multiplier iteration is constrained for average transmitting power
Step-length, t2Corresponding Lagrange multiplier iteration step length is constrained for average interference power.
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| CN110213826B (en) * | 2019-05-21 | 2022-06-24 | 深圳市领创星通科技有限公司 | Heterogeneous energy-carrying communication network robust resource allocation method under non-ideal channel |
| CN110944378B (en) * | 2019-11-13 | 2022-08-30 | 中通服咨询设计研究院有限公司 | NOMA power distribution method for D2D communication in 5G mobile communication scene |
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