CN106714293B - Junction network resource allocation methods based on qos requirement energy content collector node - Google Patents
Junction network resource allocation methods based on qos requirement energy content collector node Download PDFInfo
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- 238000013468 resource allocation Methods 0.000 title claims abstract description 14
- 230000006854 communication Effects 0.000 claims abstract description 35
- 238000004891 communication Methods 0.000 claims abstract description 28
- 238000005457 optimization Methods 0.000 claims description 21
- 230000005540 biological transmission Effects 0.000 claims description 11
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- 238000005562 fading Methods 0.000 claims description 4
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- 230000007423 decrease Effects 0.000 claims description 3
- 238000009795 derivation Methods 0.000 claims description 3
- 238000000605 extraction Methods 0.000 claims description 3
- 230000002040 relaxant effect Effects 0.000 claims description 3
- 230000003595 spectral effect Effects 0.000 claims description 3
- 238000006467 substitution reaction Methods 0.000 claims description 3
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- 230000002708 enhancing effect Effects 0.000 abstract description 2
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- 238000005265 energy consumption Methods 0.000 description 1
- 239000000446 fuel Substances 0.000 description 1
- 238000003306 harvesting Methods 0.000 description 1
- 230000002906 microbiologic effect Effects 0.000 description 1
- 230000002688 persistence Effects 0.000 description 1
- 239000012925 reference material Substances 0.000 description 1
- 230000000452 restraining effect Effects 0.000 description 1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/18—TPC being performed according to specific parameters
- H04W52/26—TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
- H04W52/265—TPC 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
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/30—Transmission power control [TPC] using constraints in the total amount of available transmission power
- H04W52/34—TPC management, i.e. sharing limited amount of power among users or channels or data types, e.g. cell loading
- H04W52/346—TPC management, i.e. sharing limited amount of power among users or channels or data types, e.g. cell loading distributing total power among users or channels
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/38—TPC being performed in particular situations
- H04W52/46—TPC being performed in particular situations in multi-hop networks, e.g. wireless relay 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
- H04W72/0453—Resources in frequency domain, e.g. a carrier in FDMA
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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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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/50—Allocation or scheduling criteria for wireless resources
- H04W72/54—Allocation or scheduling criteria for wireless resources based on quality criteria
- H04W72/542—Allocation or scheduling criteria for wireless resources based on quality criteria using measured or perceived quality
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W72/00—Local resource management
- H04W72/50—Allocation or scheduling criteria for wireless resources
- H04W72/54—Allocation or scheduling criteria for wireless resources based on quality criteria
- H04W72/543—Allocation or scheduling criteria for wireless resources based on quality criteria based on requested quality, e.g. QoS
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Abstract
Based on the junction network resource allocation methods of qos requirement energy content collector node, belong to wireless communication technology field.Relay network system is used in the present invention, includes within the system transmitting terminal, receiving end and relay node, wherein transmitting terminal and relay node can carry out collection of energy, and be communicated using the energy of collection.In the farther away communication of relative distance, for enhancing communication security reliability and reduce Communication Jamming the problems such as, we use relaying technique.In the junction network resource allocation methods that the present invention studies, in conjunction with collection of energy and relaying technique by co-allocation system resource, that is, subcarrier and its power, so that available capacity maximizes during the relay network, communication performance is always improved.
Description
Technical field
The present invention relates to a kind of junction network resource allocation methods based on qos requirement energy content collector node, belong to nothing
Line communication technology field.
Background technique
With the continuous development of wireless communication technology and the continuous application of relaying technique, the relaying of energy content collector node
The research of network has attracted more and more attention from people.Wireless communication system with collection of energy node, can use such as the sun
Energy battery, absorption of vibrations equipment, microbiological fuel cell etc. collect energy from nature, so that wireless communication system work makes
With.In such systems, energy can be collected while being communicated, and is stored in the battery so that subsequent communication makes
With.
Recently, the correlative study that the data having based on collection of energy are sent more in document, these researchs are devoted to whole
In a data transmission procedure under energy causality constraint and limited battery capacity restraint condition, the handling capacity of whole system is improved,
Transmitting terminal and relay node can be with collection of energy in relayed communications network for present invention research, and are carried out using the energy collected
Communication is maximized in communication process by jointly assigning resources (subcarrier and power) Lai Shixian network system available capacity.
Such as " Resource Allocation for Delay-Sensitive Traffic over LTE-Advanced Relay
Networks”[IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS,VOL.14,NO.8,AUGUST
2015] discussed in LTE-A junction network in the case where meeting time delay qos requirement, by co-allocation subcarrier and power come
Maximize the available capacity of system.In " Transmission with Energy Harvesting Nodes in Fading
Wireless Channels:Optimal Policies " [IEEE JOURNAL ON SELECTED AREAS IN
COMMUNICATIONS, VOL.29, NO.8, SEPTEMBER 2011] in have studied in a wireless communication system using energy receive
Collect equipment and collects the energy progress data communication come so that throughput of system maximizes.It is received in relay network system using energy
Collection is to be communicated, at present in it can consult reference materials, the still not research of this respect.
Summary of the invention
In order to overcome defect and deficiency of the existing technology, the energy content collector node based on qos requirement is being considered
The resource allocation of junction network to realize that relay network system available capacity maximizes, and guarantees communication process energy consumption
No more than the currently stored energy of battery, the junction network money based on qos requirement energy content collector node that the present invention provides a kind of
Source distribution method.
Technical scheme is as follows:
A kind of junction network resource allocation methods based on qos requirement energy content collector node are by wireless communication
Junction network realizes, which includes transmitting terminal (TX), relay node (RN) and receiving end (RX), wherein transmitting terminal and in
Collection of energy can be carried out after node, system uses double jump relaying technique, and the wireless channel of transmitting terminal to relay node is expressed as
Link 1 is link-1, and the wireless channel of relay node to receiving end is expressed as link 2 i.e. link-2;Relay node (RN) passes through
Link 1 receives the data of transmitting terminal, is then decoded forwarding, sends data to receiving end (RX) by link 2;Relaying section
Point work is in semiduplex mode;If wireless channel obeys block decline, each piece of when a length of T;The communication network shares N number of sub- load
Wave, each subcarrier bandwidth is WHz, and n-th (n ∈ { 1,2 ... N }) a subcarrier can only be assigned uniquely to link 1 and chain
One of road 2;The time interval of adjacent collection of energy twice is defined as one " time slot ", considers that entire communication process has K
A time slot, when each time slot a length of T0, in kth (k ∈ K={ 1,2 ..., N }) a time slot initial time transmitting terminal and relaying section
The energy that point is collected is expressed as E1 (k)And E2 (k), wherein the symbol (k) in all variable upper right corner indicate the variable be when
Variate-value corresponding to gap k, wireless channel link1 and link2 are represented by link-i, i ∈ { 1,2 };
By available capacity concept it is found that in k-th of time slot sub-carrier n, wireless channel link-i, i ∈'s { 1,2 } is effective
Capacity are as follows:
Wherein E [] indicates operation of averaging, and θ indicates delay parameter, that is, qos parameter,
I ∈ { 1,2 },Indicate handling capacity of the time slot k sub-carrier n in channel link-i, γi,nIndicate sub-carrier n in link
The transient channel power gain of link-i,Indicate the transmission power for subcarrier n in time slot k, link-i, N0Expression connects
The power spectral density of the additive white Gaussian noise (AWGN) of debit, I indicate inter-cell interference, and Γ indicates Signal to Interference plus Noise Ratio difference, right
Rayleigh fading channel, power gain meetWherein βi,nIndicate being averaged for subcarrier n, link-i
Channel power gain, f (γi,n) indicate with γi,nFor the function of independent variable, by the function by instantaneous channel gain γi,nPeace
Equal channel power gain βi,nIt connects, consideration is in low Signal to Interference plus Noise RatioIn the case where willSubstitution formula (1) handle:
WithIndicate the matching attribute in k-th of time slot subcarrier n, wherein It indicates
In k-th of time slot, subcarrier n distributes to link-i;It indicates to be not assigned to link-i in k-th of time slot subcarrier n;
When to subcarrier and power distribution, by above-mentioned in k-th of time slot, the available capacity of link-i are as follows:
Wherein symbol Σ indicates summation operation, and in k-th of time slot, in given qos value θ, the junction network is effective
Capacity can be expressed asSymbol min expression is askedMinimum value in the two;
Above by the distribution of optimization subcarrier and the transmission power of transmitting terminal and relaying, in the case where meeting certain QoS and requiring
Realize that the available capacity of the wireless communications relay network system maximizes, steps are as follows for the resource allocation methods:
One, problem is planned
By above description, our existing plan optimization problem (P1) is as follows:
Wherein max indicates maximizing, is objective function after the symbol, and s.t. indicates constraint symbol,
Indicate that n can take arbitrary value in { 1,2 .., N };L time slot is respectively indicated in link link-1 and link-2
The transmission power of subcarrier n;E1 (l)、E2 (l)It is illustrated respectively in the energy that l time slot initial time transmitting terminal and relay node are collected
It measures, wherein l ∈ { 1,2 .., k };In order to facilitate above-mentioned optimization problem is solved, relax the constraint of subcarrier distribution factor, even
And quote new variablesIntroducing new auxiliary variable t, (t is indicated to excellent
Change variable), get off to ask the maximum value of t in the constraint condition for meeting problem (P1), then above-mentioned optimization problem can be of equal value at asking
It inscribes (P1-1)
By relaxing subcarrier distribution factorConstraint, optimization problem becomes (P1-1) form from (P1) form, two
Person is of equal value;
Two, problem solving
Above-mentioned optimization problem is convex optimization problem, and convex optimum theory method can be used and solve;The glug of problem (P1-1) is bright
Day function is:
J and l indicate the summation variable used in summation process, their value be respectively j ∈ { 1,2 .., K }, l ∈ 1,
2,..,j};
Wherein, Lagrange multiplier are as follows: α={ α1,α2,...,αK,
μ={ μ1,μ2,...,μK,
λ={ λ1,λ2,...,λK,
ν={ ν1,ν2,...,νK,
η={ η1,1,...,η1,N;...;ηK,1,...,ηK,N};
Subcarrier distribution:
Power distribution:
Then dual problem can be obtained:
(P2)min g(α,μ,λ,ν,η)
s.t.α≥0,μ≥0,λ≥0,ν≥0 (7)
WhereinG (α, μ, λ, ν, η) is handled as follows:
Wherein:
ByIt can obtain:
WhereinRespectively indicate αj、μjOptimal solution;
(1) optimal power allocation
Above-mentionedWithG is substituted into respectively1(α, λ, η) and g2(μ, ν, η), and respectively
Enable g1(α, λ, η) and g2(μ, ν, η) is rightWithDerivation:
:
:
Wherein " * " in the parameter upper right corner indicates the optimal solution of the parameter, [x]+It indicates if x value is non-negative, [x]+=x;Such as
Fruit x is negative, then [x]+=0, so far we have obtained the optimal power allocation about Lagrange multiplier;
(2) optimal subcarrier distribution
?In generation, returns g1In (α, λ, η):
The component extraction of k-th of time slot is come out:
Wherein
It can be seen that above formula aboutLinearly, it therefore obtains
It can similarly obtain:
So the dual function about k-th of time slot can be obtained:
By?
Then optimal subcarrier distribution are as follows:
So far optimal subcarrier distribution is obtained;
(3) sub- Gradient Iteration solves
Above-mentioned dual problem convex problem can be solved by sub- gradient iteration method, the sub- gradient point of each Lagrange multiplier
It is not expressed as Δ αk、Δμk、ΔλkWith Δ νk, expression formula is respectively such as following four formula:
Each group Lagrange multiplier is acquired by sub- gradient iteration method using the sub- gradient of above-mentioned each Lagrange multiplier, then
In generation, returns optimal power allocation formulaWithOptimal subcarrier distribution power formulaWithAvailable capacity formulaWithThe optimal power allocation scheme of the relay network system, optimal subcarrier distribution side can be respectively obtained
Case and corresponding available capacity.
The full name in English of the QoS is " Quality of Service ", Chinese entitled " service quality ".QoS is net
A kind of technology for the problems such as a kind of security mechanism of network is for solving network delay and obstruction.
The concept of the available capacity refers in the case where guaranteeing the certain delay parameter i.e. requirement of qos parameter (θ), channel energy
The peak transfer rate of support.
Beneficial effects of the present invention are as follows:
It is communicated in the present invention using the energy of collection, during the Resource Allocation Formula studied in invention is not only able to achieve
It maximizes to enhance the performance of wireless channel after system available capacity in network system communication process, and can guarantee and communicated
Energy constraint related request in journey;Compared to conventional wireless system, the wireless system with collectable energy node has by ring
The advantages that border restraining force is small, persistence is high, service life is significantly longer is improved greatly to the one of performance in wireless communication systems.?
In the farther away communication of relative distance, for enhancing communication security reliability and reduce Communication Jamming the problems such as, we using relaying
Technology.Collection of energy and relaying technique are combined in the present invention, co-allocation system resource in system communication processes so as to effectively hold
Amount maximizes, and always improves communication performance.
Specific embodiment
Below with reference to embodiment, the invention will be further described, but not limited to this.
Embodiment:
A kind of junction network resource allocation methods based on qos requirement energy content collector node are by wireless communication
Junction network realizes, which includes transmitting terminal (TX), relay node (RN) and receiving end (RX), wherein transmitting terminal and in
Collection of energy can be carried out after node, system uses double jump relaying technique, and the wireless channel of transmitting terminal to relay node is expressed as
Link 1 is link-1, and the wireless channel of relay node to receiving end is expressed as link 2 i.e. link-2;Relay node (RN) passes through
Link 1 receives the data of transmitting terminal, is then decoded forwarding, sends data to receiving end (RX) by link 2;Relaying section
Point work is in semiduplex mode;If wireless channel obeys block decline, each piece of when a length of T;The communication network shares N number of sub- load
Wave, each subcarrier bandwidth is WHz, and n-th (n ∈ { 1,2 ... N }) a subcarrier can only be assigned uniquely to link 1 and chain
One of road 2;The time interval of adjacent collection of energy twice is defined as one " time slot ", considers that entire communication process has K
A time slot, when each time slot a length of T0, in kth (k ∈ K={ 1,2 ..., N }) a time slot initial time transmitting terminal and relaying section
The energy that point is collected is expressed as E1 (k)And E2 (k), wherein the symbol (k) in all variable upper right corner indicate the variable be when
Variate-value corresponding to gap k, wireless channel link1 and link2 are represented by link-i, i ∈ { 1,2 };
By available capacity concept it is found that in k-th of time slot sub-carrier n, wireless channel link-i, i ∈'s { 1,2 } is effective
Capacity are as follows:
Wherein E [] indicates operation of averaging, and θ indicates delay parameter, that is, qos parameter,
I ∈ { 1,2 },Indicate handling capacity of the time slot k sub-carrier n in channel link-i, γi,nIndicate sub-carrier n in link
The transient channel power gain of link-i,Indicate the transmission power for subcarrier n in time slot k, link-i, N0Expression connects
The power spectral density of the additive white Gaussian noise (AWGN) of debit, I indicate inter-cell interference, and Γ indicates Signal to Interference plus Noise Ratio difference, right
Rayleigh fading channel, power gain meetWherein βi,nIndicate being averaged for subcarrier n, link-i
Channel power gain, f (γi,n) indicate with γi,nFor the function of independent variable, by the function by instantaneous channel gain γi,nPeace
Equal channel power gain βi,nIt connects, consideration is in low Signal to Interference plus Noise RatioIn the case where willSubstitution formula (1) handle:
WithIndicate the matching attribute in k-th of time slot subcarrier n, wherein It indicates
In k-th of time slot, subcarrier n distributes to link-i;It indicates to be not assigned to link-i in k-th of time slot subcarrier n;
When to subcarrier and power distribution, by above-mentioned in k-th of time slot, the available capacity of link-i are as follows:
Wherein symbol Σ indicates summation operation, and in k-th of time slot, in given qos value θ, the junction network is effective
Capacity can be expressed asMin expression is askedMinimum value in the two;
Above by the distribution of optimization subcarrier and the transmission power of transmitting terminal and relaying, in the case where meeting certain QoS and requiring
Realize that the available capacity of the wireless communications relay network system maximizes, steps are as follows for the resource allocation methods:
One, problem is planned
By above description, our existing plan optimization problem (P1) is as follows:
Wherein max indicates maximizing, is objective function after the symbol, and s.t. indicates constraint symbol,
Indicate that n can take arbitrary value in { 1,2 .., N };L time slot is respectively indicated in link link-1 and link-2
The transmission power of subcarrier n;E1 (l)、E2 (l)It is illustrated respectively in the energy that l time slot initial time transmitting terminal and relay node are collected
It measures, wherein l ∈ { 1,2 .., k };In order to facilitate above-mentioned optimization problem is solved, relax the constraint of subcarrier distribution factor, even
And quote new variablesIntroducing new auxiliary variable t, (t is indicated to excellent
Change variable), get off to ask the maximum value of t in the constraint condition for meeting problem (P1), then above-mentioned optimization problem can be of equal value at asking
It inscribes (P1-1)
By relaxing subcarrier distribution factorConstraint, optimization problem becomes (P1-1) form, the two from (P1) form
It is of equal value;
Two, problem solving
Above-mentioned optimization problem is convex optimization problem, and convex optimum theory method can be used and solve;The glug of problem (P1-1) is bright
Day function is:
J and l indicate the summation variable used in summation process, their value be respectively j ∈ { 1,2 .., K }, l ∈ 1,
2,..,j};
Wherein, Lagrange multiplier are as follows: α={ α1,α2,...,αK,
μ={ μ1,μ2,...,μK}
λ={ λ1,λ2,...,λK,
ν={ ν1,ν2,...,νK,
η={ η1,1,...,η1,N;...;ηK,1,...,ηK,N,
Subcarrier distribution:
Power distribution:
Then dual problem can be obtained:
(P2)min g(α,μ,λ,ν,η)
s.t.α≥0,μ≥0,λ≥0,ν≥0 (7)
WhereinG (α, μ, λ, ν, η) is handled as follows:
Wherein:
ByIt can obtain:
WhereinRespectively indicate αj、μjOptimal solution;
(1) optimal power allocation
Above-mentionedWithG is substituted into respectively1(α, λ, η) and g2(μ, ν, η), and respectively
It enables
g1(α, λ, η) and g2(μ, ν, η) is rightWithDerivation:
:
:
Wherein " * " in the parameter upper right corner indicates the optimal solution of the parameter, [x]+It indicates if x value is non-negative, [x]+=x;Such as
Fruit x is negative, then [x]+=0, so far we have obtained the optimal power allocation about Lagrange multiplier;
(2) optimal subcarrier distribution
?In generation, returns g1In (α, λ, η):
The component extraction of k-th of time slot is come out:
Wherein
It can be seen that above formula aboutLinearly, it therefore obtains
It can similarly obtain:
So the dual function about k-th of time slot can be obtained:
By?
Then optimal subcarrier distribution are as follows:
So far optimal subcarrier distribution is obtained;
(3) sub- Gradient Iteration solves
Above-mentioned dual problem convex problem can be solved by sub- gradient iteration method, the sub- gradient point of each Lagrange multiplier
It is not expressed as Δ αk、Δμk、ΔλkWith Δ νk, expression formula is respectively such as following four formula:
Each group Lagrange multiplier is acquired by sub- gradient iteration method using the sub- gradient of above-mentioned each Lagrange multiplier, then
In generation, returns optimal power allocation formulaWithOptimal subcarrier distribution power formulaWithAvailable capacity formulaWithThe optimal power allocation scheme of the relay network system, optimal subcarrier distribution side can be respectively obtained
Case and corresponding available capacity.
Claims (1)
- It is by in wireless communication 1. a kind of junction network resource allocation methods based on qos requirement energy content collector node It is realized after network, which includes transmitting terminal, relay node and receiving end, wherein transmitting terminal and relay node Collection of energy is carried out, system uses double jump relaying technique, and the wireless channel of transmitting terminal to relay node is expressed as link 1 i.e. Link-1, the wireless channel of relay node to receiving end are expressed as link 2 i.e. link-2;Relay node is received by link 1 Then the data of transmitting terminal are decoded forwarding, send data to receiving end by link 2;Relay node works in half-duplex Mode;If wireless channel obeys block decline, each piece of when a length of T;The communication network shares N number of subcarrier, each subcarrier Bandwidth is WHz, and n-th (n ∈ { 1,2 ... N }) a subcarrier can only be assigned uniquely to link 1 and link 2 one of them;Phase The time interval of adjacent collection of energy twice is defined as one " time slot ", considers that entire communication process has K time slot, each time slot Shi Changwei T0, respectively indicated in the energy that a time slot initial time transmitting terminal of kth (k ∈ { 1,2 ... K }) and relay node are collected For E1 (k)And E2 (k), wherein the symbol (k) in all variable upper right corner indicates that the variable is the variate-value corresponding to time slot k, nothing Wired link link-1 and link-2 are represented by link-i, i ∈ { 1,2 };By available capacity concept it is found that in k-th of time slot sub-carrier n, the available capacity of wireless channel link-i, i ∈ { 1,2 } Are as follows:Wherein E [] indicates operation of averaging, and θ indicates delay parameter, that is, qos parameter, Indicate time slot k sub-carrier n, the handling capacity of channel link-i, γi,nIndicate sub-carrier n in the instantaneous of link link-i Channel power gain,Indicate the transmission power for subcarrier n in time slot k, link-i, N0Indicate that the additivity of recipient is high The power spectral density of this white noise (AWGN), I indicate inter-cell interference, and Γ indicates Signal to Interference plus Noise Ratio difference, to rayleigh fading channel, Power gain meetsWherein βi,nIndicate the average channel power gain for subcarrier n, link-i, f (γi,n) indicate with γi,nFor the function of independent variable, by the function by instantaneous channel gain γi,nAnd average channel power gain βi,nIt connects, consideration is in low Signal to Interference plus Noise RatioIn the case where willSubstitution formula (1) carries out It handles:WithIndicate the matching attribute in k-th of time slot subcarrier n, wherein It indicates the K time slot, subcarrier n distribute to link-i;It indicates to be not assigned to link-i in k-th of time slot subcarrier n;It is given When subcarrier and power distribution, it can obtain in k-th of time slot, the available capacity of link-i are as follows:Wherein symbol Σ indicates summation operation, in k-th of time slot, the available capacity of the junction network in given qos value θ It can be expressed asSymbol min expression is askedMinimum value in the two;Above by the distribution of optimization subcarrier and the transmission power of transmitting terminal and relaying, realized in the case where meeting certain QoS and requiring The available capacity of the wireless communications relay network system maximizes, and steps are as follows for the resource allocation methods:One, problem is plannedBy above description, our existing plan optimization problem (P1) is as follows:Wherein max indicates maximizing, is objective function after the symbol, and s.t. indicates constraint symbol,It indicates N can take arbitrary value in { 1,2 .., N };L time slot is respectively indicated to carry in link link-1 and link-2 neutron The transmission power of wave n;E1 (l)、E2 (l)It is illustrated respectively in the energy that l time slot initial time transmitting terminal and relay node are collected, Middle l ∈ { 1,2 .., k };In order to facilitate above-mentioned optimization problem is solved, relax the constraint of subcarrier distribution factor, evenAnd quote new variablesNew auxiliary variable t is introduced, problem (P1) is being met Constraint condition gets off to ask the maximum value of t, and then above-mentioned optimization problem can equivalence problematic (P1-1)By relaxing subcarrier distribution factorConstraint, optimization problem becomes (P1-1) form from (P1) form, and the two is Valence;Two, problem solvingAbove-mentioned optimization problem is convex optimization problem, and convex optimum theory method can be used and solve;The Lagrangian letter of problem (P1-1) Number is:J and l indicate the summation variable used in summation process, their value be respectively j ∈ { 1,2 .., K }, l ∈ 1, 2,..,j};Wherein, Lagrange multiplier are as follows: α={ α1,α2,...,αK,μ={ μ1,μ2,...,μK,λ={ λ1,λ2,...,λK,ν={ ν1,ν2,...,νK,η={ η1,1,...,η1,N;...;ηK,1,...,ηK,N,Subcarrier distribution:Power distribution:Then dual problem can be obtained:(P2)min g(α,μ,λ,ν,η)s.t.α≥0,μ≥0,λ≥0,ν≥0 (7)WhereinG (α, μ, λ, ν, η) is handled as follows:Wherein:ByIt can obtain:WhereinRespectively indicate αj、μjOptimal solution;(1) optimal power allocationAbove-mentionedWithG is substituted into respectively1(α, λ, η) and g2(μ, ν, η), and g is enabled respectively1 (α, λ, η) and g2(μ, ν, η) is rightWithDerivation:::Wherein " * " in the parameter upper right corner indicates the optimal solution of the parameter, [x]+It indicates if x value is non-negative, [x]+=x;If x It is negative, then [x]+=0, so far we have obtained the optimal power allocation about Lagrange multiplier;(2) optimal subcarrier distribution?In generation, returns g1In (α, λ, η):The component extraction of k-th of time slot is come out:WhereinIt can be seen that above formula aboutLinearly, it therefore obtainsIt can similarly obtain:So the dual function about k-th of time slot can be obtained:By?Then optimal subcarrier distribution are as follows:So far optimal subcarrier distribution is obtained;(3) sub- Gradient Iteration solvesAbove-mentioned dual problem convex problem can be solved by sub- gradient iteration method, and the sub- gradient of each Lagrange multiplier distinguishes table It is shown as Δ αk、Δμk、ΔλkWith Δ νk, expression formula is respectively such as following four formula:Each group Lagrange multiplier is acquired by sub- gradient iteration method using the sub- gradient of above-mentioned each Lagrange multiplier, then generation returns Optimal power allocation formulaWithOptimal subcarrier distribution power formulaWithAvailable capacity formula WithCan respectively obtain the optimal power allocation scheme of the relay network system, optimal subcarrier distribution scheme and Corresponding available capacity.
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