CN106028455B - Resource allocation methods in bi-directional relaying cognitive radio system based on DF agreement - Google Patents

Resource allocation methods in bi-directional relaying cognitive radio system based on DF agreement Download PDF

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CN106028455B
CN106028455B CN201610534493.6A CN201610534493A CN106028455B CN 106028455 B CN106028455 B CN 106028455B CN 201610534493 A CN201610534493 A CN 201610534493A CN 106028455 B CN106028455 B CN 106028455B
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relaying
signal
base station
mobile subscriber
value
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CN106028455A (en
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李婷
李有明
余明宸
付彩梅
周桂莉
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Ningbo University
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Ningbo 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
    • H04W72/0473Wireless 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
    • H04W72/52Allocation or scheduling criteria for wireless resources based on load
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/50Allocation or scheduling criteria for wireless resources
    • H04W72/53Allocation or scheduling criteria for wireless resources based on regulatory allocation policies

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

Abstract

The invention discloses the resource allocation methods in a kind of bi-directional relaying cognitive radio system based on DF agreement, maximize feature using DF protocol capacity, obtain the power relation between cognition mobile subscriber, base station and each relaying;Then power limitation condition used using the relationship and when recognizing mobile subscriber to relay transmission signal, power limitation condition used when base station is to relay transmission signal, obtain the signal-to-noise ratio by bi-directional relaying cognitive radio system when each relay transmission signal, then by carrying out permutation and combination to all signal-to-noise ratio, find one group of signal-to-noise ratio combination, its all signal-to-noise ratio and value meet interfere restrictive condition under it is maximum, further according to find signal-to-noise ratio combination in all signal-to-noise ratio and value, obtain power used when maximum system capacity and corresponding relaying and repeat broadcast signal;Advantage is the power for improving power system capacity, and only solving used when each repeat broadcast signal, simplifies power solution procedure, reduces complexity.

Description

Resource allocation methods in bi-directional relaying cognitive radio system based on DF agreement
Technical field
The present invention relates to the resource allocation techniques in a kind of relaying cognitive radio system, are based on DF more particularly, to one kind Resource allocation methods in the bi-directional relaying cognitive radio system of (Decode and Forward, decoding forwarding) agreement.
Background technique
Wireless communication technique is developed rapidly in recent years, and with the increase of wireless application demand, frequency spectrum is in short supply to be asked It inscribes increasingly prominent.Cognitive radio technology is moved by allowing cognitive user under the premise of not influencing authorized user's normal work State ground insertion authority frequency band, effectively improves spectrum utilization efficiency.
In order to meet the higher radio communication service demand of people, wireless communication system of new generation needs not only to provide Higher power system capacity, but also need to be able to satisfy requirement of the user to service quality, such as the reliability of link and network Coverage area etc..However, it is contemplated that wireless channel time-varying characteristics and signal transmission in distance decline etc. factors influence, So that the reliability and the coverage area of network etc. of wireless transmission encounter stern challenge.And cooperating relay technology has It improves to effect in wireless environments because of signal reliability caused by the factors such as depth attenuation of geographical distribution and channel It reduces, cooperating relay technology will be helpful to improve communication quality, increase the power system capacity of wireless communication system and expand network Coverage area, thus, cooperating relay technology is current one of the wireless communication technique that most attracts attention.
Junction network in cognitive radio can classify according to different forms.Junction network in cognitive radio Two kinds can be divided into according to data flow direction: one-way junction network and bilateral relay network.The total system of bidirectional relay system holds Amount is twice of the entire system capacity of one-way junction system, this is concerned bilateral relay network further.Double Into relay system, the bidirectional relay system based on physical-layer network coding is most widely used, and only needs two time slots just It can complete the interaction of bi-directional data, thus the efficiency being doubled than traditional one-way junction system.In cognitive radio Junction network can be divided into two kinds again according to the duplex mode of relay node: one is half-duplex relay networks;Another kind is complete Duplexing junction network.In view of implementation complexity, relay system common at present generally is half-duplex relay system.Using half The collaboration relay node of duplex mode according to signal processing strategy can be divided into AF (Amplify and Forward, amplification forwarding), DF (Decode and Forward, decoding forwarding) and CC (Coded Cooperation, coding cooperative), wherein the agreement side DF Formula is to relay first to be decoded after the signal for receiving source node, is relayed to after then recompiling decoded data Destination node.
In bi-directional relaying cognitive radio system, higher power system capacity, resource allocation are to be optimized at having in order to obtain The problem of.In resource allocation, relay selection is a problem to be solved again.In relay selection, there is the single relaying of selection to carry out Signal transmission has the more relayings of selection to carry out signal transmission.The single relaying of selection so that resource allocation optimization problem reduction easily solves, but It is that power system capacity is limited.The more relaying meetings of selection can improve power system capacity so that resource allocation optimization complication.It is two-way It relays there are three types of the resource allocation optimization problem classics solutions in cognitive radio system, first is that optimization problem is switched to convex Optimization problem is solved;Second is that application Lagrange combines subgradient method to be solved;Third is that using mean power method It solves.Due to there is the limitation to cognitive user transmission power and the limitation to authorized user's interference, optimization problem is turned For the complexity for the method that the methods and applications Lagrange combination subgradient method that convex optimization problem is solved is solved Height is not easy to solve;And the method for applying mean power method to solve cannot obtain higher power system capacity.
Summary of the invention
Technical problem to be solved by the invention is to provide a kind of bi-directional relaying cognitive radio systems based on DF agreement In resource allocation methods, power system capacity can not only be improved, and power distribution can be simplified, reduce complexity.
The technical scheme of the invention to solve the technical problem is: a kind of bi-directional relaying cognition based on DF agreement Resource allocation methods in radio system, it is characterised in that the following steps are included:
1. each channel set in bi-directional relaying cognitive radio system uses more Rayleigh fading models;It sets in two-way It is made of after cognitive radio system a cognition mobile subscriber, a base station, M relaying and an authorized user, wherein M > 1;There is no direct link between setting cognition mobile subscriber and base station, L relaying need to be selected to carry out signal transmission, wherein 1≤L ≤M;
Each relay selection half-duplex operation is set, when the process that each relaying carries out signal transmission is divided into two Gap: the first time slot is multiple access time slot, and in the first slot, base station is to all relay transmission signals, by the transmitting function of base station Rate is denoted as PCB, while mobile subscriber is recognized to all relay transmission signals, the transmission power for recognizing mobile subscriber is denoted as PS, base Standing and recognize when mobile subscriber transmits signal is to the same relay transmission signal;In the first slot, mobile subscriber is recognized Interference is generated to authorized user with base station;Second time slot is time slot, and in the second time slot, each relaying receives it Signal from base station and carry out the signal of autoepistemic mobile subscriber and broadcast, it is used when by m-th of repeat broadcast signal Power is denoted asIn the second time slot, each relaying also generates interference to authorized user;It is above-mentioned, 1≤m≤M;
The channel set between the channel gain between base station and each relaying, cognition mobile subscriber and each relaying increases Channel gain, base station between benefit, cognition mobile subscriber and authorized user and the channel gain between authorized user, each relaying Channel gain between authorized user be all it is known, by the channel gain between base station and m-th of relaying, cognition is mobile uses Channel gain, cognition mobile subscriber between family and m-th of relaying and the channel gain between authorized user, base station and authorization are used Channel gain between family, m-th of relaying is corresponding with the channel gain between authorized user is denoted as g1、g2、g3、g4、g5,g3=| hS-PU|2, g4=| hCB-PU|2,Wherein, 1≤m≤M, symbol Number " | | " it is the symbol that takes absolute value,Indicate the channel coefficients between base station and m-th of relaying,Indicate that cognition moves Employ the channel coefficients between family and m-th of relaying, hS-PUIndicate the channel coefficients between cognition mobile subscriber and authorized user, hCB-PUIndicate the channel coefficients between base station and authorized user,Indicate the channel between m-th of relaying and authorized user Coefficient;Setting cognition mobile subscriber and authorized user access frequency spectrum simultaneously and carry out signal transmission;Set bi-directional relaying cognition wireless All noises in electric system are all σn 2Additive white Gaussian noise;
2. by being denoted as by the rate of the bi-directional relaying cognitive radio system under DF agreement when m-th of relay transmission signalAccording to the rate of cognition mobile subscriber to m-th of relaying, the rate of base station to m-th of relaying, it is relayed to base station m-th Rate, be relayed to the rate of cognition mobile subscriber for m-th and relay for m-th and can handle the maximum limiting speed of signal, willDescription are as follows:It, will and according to aromatic lawDescription are as follows:Then in conjunction withWith It obtainsAnd then it obtains
Wherein, 1≤m≤M, min () are to be minimized function, R1Indicate to recognize mobile subscriber in the first slot to m The rate of a relaying,R2Indicate the rate that base station is relayed to m-th in the first slot,R3Indicate the rate for being relayed to base station for m-th in the second time slot,R4It indicates to be relayed to the rate for recognizing mobile subscriber m-th in the second time slot,R5It indicates to relay the maximum limiting speed that can handle signal m-th in the second time slot,SNRmIt indicates through the bi-directional relaying under DF agreement when m-th of relay transmission signal The signal-to-noise ratio of cognitive radio system;
3. constructing the optimized allocation of resources problem in the bi-directional relaying cognitive radio system under DF agreement, description are as follows:
PS×g3+PCB×g4≤Ith
Wherein, max indicates " making to maximize ", εmThe selective factor B relayed for m-th, works as εmM-th of relaying is represented when=1 It is selected, work as εmIt represents m-th of relaying when=0 not to be selected, RDFWhen indicating that L relaying is selected to carry out signal transmission under DF agreement Bi-directional relaying cognitive radio system power system capacity, s.t. indicates " constrained in ... ",Indicate cognition mobile subscriber Limitation power,Indicate the limitation power of base station,Indicate the limitation power of m-th of relaying, IthIndicate authorized user The receptible maximum interference value of institute, the 1st constraint condition are PSRestrictive condition, the 2nd constraint condition is PCBRestrictive condition, 3rd constraint condition isRestrictive condition, the 4th constraint condition indicates that cognition mobile subscriber is to m-th in the first slot Base station when recognizing interference that mobile subscriber generates authorized user and base station when relay transmission signal to m-th of relay transmission signal The sum of interference generated to authorized user is no more than the receptible maximum interference value of authorized user institute, and the 5th constraint condition indicates The interference that it generates authorized user when M repeat broadcast signal in the second time slot is receptible most no more than authorized user institute Big interference value, the 6th constraint condition indicate εmValue limitation;
4. solution procedure 3. in optimized allocation of resources problem, in solution procedure using DF protocol capacity it is maximumlly special Point solves and obtains the power relation between cognition mobile subscriber, base station and each relaying;When then with each repeat broadcast signal Power used is come power and base station used when indicating cognition mobile subscriber to this relay transmission signal to this relaying biography Power used when defeated signal, acquisition pass through the bi-directional relaying cognitive radio system under DF agreement when each relay transmission signal Signal-to-noise ratio value;Then permutation and combination is carried out by the value to all signal-to-noise ratio, finds a kind of signal-to-noise ratio combination, the signal-to-noise ratio The value of all signal-to-noise ratio in combination and value meet step 3. in optimized allocation of resources problem in the 5th constraint condition Lower maximum;Further according to find signal-to-noise ratio combination in all signal-to-noise ratio value and value, acquisition DF agreement under bi-directional relaying The corresponding L relaying of the maximum system capacity and maximum system capacity of cognitive radio system and the L respective broadcast singal of relaying The power of Shi Suoyong.
The detailed process of the step 4. are as follows:
4. _ 1, working as R according to the maximized feature of DF protocol capacity1=R3And R2=R4When, RDFValue is maximum;Then basisAnd R1=R3, obtainAnd according toAnd R2=R4, obtainThen according toWithIt willIt is converted intoAnd it obtainsWith
4. _ 2, basisWithIt will
It is converted into
PS×g3+PCB×g4≤Ith
Then in conjunction with
In preceding 4 constraint condition, obtain
Then according to
It will
It is converted into
4. _ 3, working as R1=R3And R2=R4When, it willIt is converted intoThen basisAndWithIt solvesObtain SNRmValue;
4. _ 4, the value for 4. _ 3 solving M obtained signal-to-noise ratio to step carries out permutation and combination, when selecting 1 relaying, in After there is kind of a selection, signal-to-noise ratio has kind of a combination;When selecting 2 relayings, relaying has kind of a selection, and signal-to-noise ratio has kind Combination;And so on, when selecting M relaying, relaying has kind of a selection, and signal-to-noise ratio has kind of a combination;Then every kind is calculated Signal-to-noise ratio combination in all signal-to-noise ratio value and value;Then the maximum value that satisfaction is found out from a and value, is denoted as SNRmax;In conjunction with SNRmaxWith
It obtains
And then obtain RDFValue, the value be DF agreement under bi-directional relaying cognition wireless The maximum system capacity of electric system, and obtain the corresponding L relaying of maximum system capacity and L relaying respective broadcast singal when institute Power.
Compared with the prior art, the advantages of the present invention are as follows:
1) the method for the present invention selects several relayings to carry out signal transmission, select multiple relayings to carry out signals transmission meetings so that Power system capacity is further promoted.
2) the method for the present invention is special by being maximized using DF protocol capacity during solving optimization resource allocation problem Point obtains the power relation between cognition mobile subscriber, base station and each relaying;Then the relationship and cognition mobile subscriber are utilized Power limitation condition used, obtains when power limitation condition used when to relay transmission signal, base station are to relay transmission signal To the value of the signal-to-noise ratio by the bi-directional relaying cognitive radio system under DF agreement when each relay transmission signal, then pass through Permutation and combination is carried out to the value of all signal-to-noise ratio, finds a kind of signal-to-noise ratio combination, all signal-to-noise ratio in signal-to-noise ratio combination Be worth and value maximum in the case where meeting interference restrictive condition, further according to the sum of the value of all signal-to-noise ratio in the signal-to-noise ratio combination found Value obtains the maximum system capacity and the corresponding relaying of maximum system capacity of the bi-directional relaying cognitive radio system under DF agreement With power used when repeat broadcast signal;The process of the method for the present invention solving optimization resource allocation problem is concise, not only Power system capacity is improved, and with each repeat broadcast signal when power used indicates cognition mobile subscriber to this relaying Power used, i.e., only solve each repeat broadcast when power and base station used is to this relay transmission signal when transmitting signal Power used when signal, simplifies power solution procedure, to reduce the complexity of solution.
Detailed description of the invention
Fig. 1 is the composition schematic diagram of bi-directional relaying cognitive radio system;
Fig. 2 is that the overall of the method for the present invention realizes block diagram;
It is σ that Fig. 3 a, which is in additive white Gaussian noise,n 2=10-4W, number M=4, the receptible maximum of authorized user institute are relayed Interference value IthValue be 10dBm when, recognize mobile subscriber limitation power, base station limitation power and each relaying limitation The value of power is from -10dBm~30dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection The power system capacity of method and the more relay selection methods of single channel with limitation power change curve comparison diagram;
It is σ that Fig. 3 b, which is in additive white Gaussian noise,n 2=10-4W, number M=4, the receptible maximum of authorized user institute are relayed Interference value IthValue be 20dBm when, recognize mobile subscriber limitation power, base station limitation power and each relaying limitation The value of power is from -10dBm~30dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection The power system capacity of method and the more relay selection methods of single channel with limitation power change curve comparison diagram;
It is σ that Fig. 4 a, which is in additive white Gaussian noise,n 2=10-4W, the limitation function for relaying number M=4, recognizing mobile subscriber When the value 20dBm of the limitation power of rate, the limitation power of base station and each relaying, the receptible maximum interference of authorized user institute Value IthValue from -10dBm~40dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection The comparison diagram for the change curve that the power system capacity of method and the more relay selection methods of single channel is limited with interference;
It is σ that Fig. 4 b, which is in additive white Gaussian noise,n 2=10-4W, the limitation function for relaying number M=4, recognizing mobile subscriber When the value 25dBm of the limitation power of rate, the limitation power of base station and each relaying, the receptible maximum interference of authorized user institute Value IthValue from -10dBm~40dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection The comparison diagram for the change curve that the power system capacity of method and the more relay selection methods of single channel is limited with interference.
Specific embodiment
The present invention will be described in further detail below with reference to the embodiments of the drawings.
Resource allocation methods in a kind of bi-directional relaying cognitive radio system based on DF agreement proposed by the present invention, It is overall realize block diagram as shown in Fig. 2, itself the following steps are included:
1. each channel set in bi-directional relaying cognitive radio system uses more Rayleigh fading models;It sets in two-way It is made of, will be recognized a cognition mobile subscriber, a base station, M relaying and an authorized user after cognitive radio system Mobile subscriber, base station, m-th of relaying and authorized user's correspondence are denoted as S, CB, RSmAnd PU, as shown in Figure 1, wherein M > 1, at this M=4,1≤m≤M are taken in embodiment;There is no direct link between setting cognition mobile subscriber and base station, need to select to go in L Row signal transmission, wherein 1≤L≤M.
Each relay selection half-duplex operation is set, when the process that each relaying carries out signal transmission is divided into two Gap: the first time slot is multiple access time slot, and in the first slot, base station is to all relay transmission signals, by the transmitting function of base station Rate is denoted as PCB, while mobile subscriber is recognized to all relay transmission signals, the transmission power for recognizing mobile subscriber is denoted as PS, base Standing and recognize when mobile subscriber transmits signal is to the same relay transmission signal;In the first slot, mobile subscriber is recognized Interference is generated to authorized user with base station;Second time slot is time slot, and in the second time slot, each relaying receives it Signal from base station and carry out the signal of autoepistemic mobile subscriber and broadcast, it is used when by m-th of repeat broadcast signal Power is denoted asIn the second time slot, each relaying also generates interference to authorized user;It is above-mentioned, 1≤m≤M.
The channel set between the channel gain between base station and each relaying, cognition mobile subscriber and each relaying increases Channel gain, base station between benefit, cognition mobile subscriber and authorized user and the channel gain between authorized user, each relaying Channel gain between authorized user be all it is known, by the channel gain between base station and m-th of relaying, cognition is mobile uses Channel gain, cognition mobile subscriber between family and m-th of relaying and the channel gain between authorized user, base station and authorization are used Channel gain between family, m-th of relaying is corresponding with the channel gain between authorized user is denoted as g1、g2、g3、g4、g5,g3=| hS-PU|2, g4=| hCB-PU|2,Wherein, 1≤m≤M, symbol Number " | | " it is the symbol that takes absolute value, as shown in Figure 1,Indicate the channel coefficients between base station and m-th of relaying, Indicate the channel coefficients between cognition mobile subscriber and m-th of relaying, hS-PUIt indicates between cognition mobile subscriber and authorized user Channel coefficients, hCB-PUIndicate the channel coefficients between base station and authorized user,Indicate m-th of relaying and authorized user Between channel coefficients, in bi-directional relaying cognitive radio system, base station and m-th relaying between channel information, cognition Mobile subscriber and m-th relaying between channel information, cognition mobile subscriber and authorized user between channel information, base station with Known to the channel information between channel information and m-th of relaying and authorized user between authorized user;Setting cognition is mobile to be used Family and authorized user access frequency spectrum simultaneously and carry out signal transmission;Without loss of generality, it sets in bi-directional relaying cognitive radio system All noises be all σn 2Additive white Gaussian noise, take σ in the present embodimentn 2=10-4W。
2. by being denoted as by the rate of the bi-directional relaying cognitive radio system under DF agreement when m-th of relay transmission signalAccording to the rate of cognition mobile subscriber to m-th of relaying, the rate of base station to m-th of relaying, it is relayed to base station m-th Rate, be relayed to the rate of cognition mobile subscriber for m-th and relay for m-th and can handle the maximum limiting speed of signal, willDescription are as follows:It, will and according to aromatic lawDescription are as follows:Then in conjunction withWithIt obtainsInto And it obtains
Wherein, 1≤m≤M, min () are to be minimized function, R1Indicate to recognize mobile subscriber in the first slot to m The rate of a relaying,R2Indicate the rate that base station is relayed to m-th in the first slot,R3Indicate the rate for being relayed to base station for m-th in the second time slot,R4It indicates to be relayed to the rate for recognizing mobile subscriber m-th in the second time slot,R5It indicates to relay the maximum limiting speed that can handle signal m-th in the second time slot,SNRmIt indicates through the bi-directional relaying under DF agreement when m-th of relay transmission signal The signal-to-noise ratio of cognitive radio system.
3. constructing the optimized allocation of resources problem in the bi-directional relaying cognitive radio system under DF agreement, description are as follows:
PS×g3+PCB×g4≤Ith
Wherein, max indicates " making to maximize ", εmThe selective factor B relayed for m-th, works as εmM-th of relaying is represented when=1 It is selected, work as εmIt represents m-th of relaying when=0 not to be selected, RDFWhen indicating that L relaying is selected to carry out signal transmission under DF agreement Bi-directional relaying cognitive radio system power system capacity, s.t. indicates " constrained in ... ",Indicate cognition mobile subscriber Limitation power,Indicate the limitation power of base station,Indicate the limitation power of m-th of relaying,With's Value is it is known that IthIndicate authorized user's receptible maximum interference value of the institute limitation of authorized user (interference), IthValue it is known that 1st constraint condition is PSRestrictive condition, the 2nd constraint condition is PCBRestrictive condition, the 3rd constraint condition is's Restrictive condition, the 4th constraint condition indicate that cognition moves when cognition mobile subscriber is to m-th of relay transmission signal in the first slot The interference that base station generates authorized user when employing interference that family generates authorized user and base station to m-th of relay transmission signal The sum of be no more than the receptible maximum interference value of authorized user institute, the 5th constraint condition indicates that M relaying is extensively in the second time slot It is no more than the receptible maximum interference value of authorized user institute, the 6th constraint article to the interference that authorized user generates when broadcasting signal Part indicates εmValue limitation.
4. solution procedure 3. in optimized allocation of resources problem, in solution procedure using DF protocol capacity it is maximumlly special Point solves and obtains the power relation between cognition mobile subscriber, base station and each relaying;When then with each repeat broadcast signal Power used is come power and base station used when indicating cognition mobile subscriber to this relay transmission signal to this relaying biography Power used when defeated signal, acquisition pass through the bi-directional relaying cognitive radio system under DF agreement when each relay transmission signal Signal-to-noise ratio value;Then permutation and combination is carried out by the value to all signal-to-noise ratio, finds a kind of signal-to-noise ratio combination, the signal-to-noise ratio The value of all signal-to-noise ratio in combination and value meet step 3. in optimized allocation of resources problem in the 5th constraint condition Lower maximum;Further according to find signal-to-noise ratio combination in all signal-to-noise ratio value and value, acquisition DF agreement under bi-directional relaying The corresponding L relaying of the maximum system capacity and maximum system capacity of cognitive radio system and the L respective broadcast singal of relaying The power of Shi Suoyong.
In this particular embodiment, the detailed process of step 4. are as follows:
4. _ 1, working as R according to the maximized feature of DF protocol capacity1=R3And R2=R4When, RDFValue is maximum;Then basisAnd R1=R3, obtainAnd according toAnd R2=R4, obtainThen according toWithIt willIt is converted intoAnd it obtainsWith
4. _ 2, basisWithIt will
It is converted into
PS×g3+PCB×g4≤Ith
Then in conjunction with
In preceding 4 constraint condition, obtain
Then according to
It will
It is converted into
4. _ 3, working as R1=R3And R2=R4When, it willIt is converted intoThen basisAndWithIt solvesObtain SNRmValue.
4. _ 4, the value for 4. _ 3 solving M obtained signal-to-noise ratio to step carries out permutation and combination, when selecting 1 relaying, in After havingKind selection, signal-to-noise ratio haveKind combination;When selecting 2 relayings, relaying hasKind selection, signal-to-noise ratio haveKind Combination;And so on, when selecting M relaying, relaying hasKind selection, signal-to-noise ratio haveKind combination, table 1, which gives, works as M All signal-to-noise ratio combination when=4, totally 15 kinds of signal-to-noise ratio combinations;Then all signal-to-noise ratio in every kind of signal-to-noise ratio combination are calculated Be worth and value;Then fromSatisfaction is found out in a and valueMaximum value, be denoted as SNRmax;In conjunction with SNRmaxWith
It obtains
And then obtain RDFValue, the value be DF agreement under bi-directional relaying cognition wireless The maximum system capacity of electric system, and obtain the corresponding L relaying of maximum system capacity and L relaying respective broadcast singal when institute Power.
The signal-to-noise ratio combination all as M=4 of table 1
The feasibility and validity of method in order to further illustrate the present invention carries out following emulation.
All channels in bi-directional relaying cognitive radio system assume that as the independent and more Rayleigh fadings of obedience, additivity height This white noise is σn 2=10-4W relays number M=4.
It is σ that Fig. 3 a, which gives in additive white Gaussian noise,n 2=10-4W, relaying number M=4, authorized user institute are receptible Maximum interference value IthValue when being 10dBm, recognize the limitation power of mobile subscriber, the limitation power and each relaying of base station The value for limiting power is relayed from -10dBm~30dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list The power system capacity of selection method and the more relay selection methods of single channel with limitation power change curve comparison diagram;Fig. 3 b gives It is σ in additive white Gaussian noisen 2=10-4W, number M=4, the receptible maximum interference value I of authorized user institute are relayedthValue When for 20dBm, recognize the value of the limitation power of the limitation power of mobile subscriber, the limitation power of base station and each relaying from- 10dBm~30dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection method and single channel are more The power system capacity of relay selection method with limitation power change curve comparison diagram.
Analysis chart 3a and Fig. 3 b are it is found that as the receptible maximum interference value I of authorized userthValue be 10dBm, cognition When the value of the limitation power of the limitation power of mobile subscriber, the limitation power of base station and each relaying is less than 5dBm, four kinds of sides The power system capacity of method is continuously increased with the increase of limitation power, and the limitation of limitation power, base station as cognition mobile subscriber When the value of the limitation power of power and each relaying is greater than 5dBm, the system of the method for the present invention and the more relay selection methods of single channel Capacity is held essentially constant, and the power system capacity of two-way more relay selection methods and two-way single relay selection method is with limitation power Increase and constantly reduce;As the receptible maximum interference value I of authorized user institutethValue be 20dBm, recognize mobile subscriber's When limiting the value of the limitation power of power, the limitation power of base station and each relaying less than 15dBm, the system of four kinds of methods is held Amount is continuously increased with the increase of limitation power, and when the limitation power of cognition mobile subscriber, the limitation power of base station and each When the value of the limitation power of relaying is greater than 15dBm, the power system capacity of the method for the present invention and the more relay selection methods of single channel is basic Remain unchanged, and the power system capacity of the more relay selection methods of two-way and two-way list relay selection method with the increase of limitation power and Constantly reduce;It is compared by simulation result it is found that the method for the present invention makes power system capacity higher.
It is σ that Fig. 4 a, which gives in additive white Gaussian noise,n 2=10-4W, the limitation for relaying number M=4, recognizing mobile subscriber When the value 20dBm of the limitation power of power, the limitation power of base station and each relaying, the receptible maximum dry of authorized user institute Disturb value IthValue from -10dBm~40dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relaying select The comparison diagram for the change curve that the power system capacity of selection method and the more relay selection methods of single channel is limited with interference;Fig. 4 b gives Additive white Gaussian noise is σn 2=10-4W, the limitation power for limiting power, base station of number M=4, cognition mobile subscriber are relayed And the value of the limitation power of each relaying is when being 25dBm, the receptible maximum interference value I of authorized user institutethValue from- 10dBm~40dBm, the method for the present invention and the more relay selection methods of existing two-way, two-way list relay selection method and single channel are more The comparison diagram for the change curve that the power system capacity of relay selection method is limited with interference.
Analysis chart 4a and Fig. 4 b are it is found that when recognizing the limitation power of mobile subscriber, the limitation power and each relaying of base station The value of limitation power be 20dBm, the receptible maximum interference value I of authorized user institutethValue be less than 15dBm when, four kinds The power system capacity of method is with the receptible maximum interference value I of authorized user institutethValue increase and be continuously increased, and when authorization The receptible maximum interference value I of user institutethValue when being greater than 15dBm, the method for the present invention and the more relay selection methods of single channel Power system capacity is held essentially constant, and the power system capacity of the more relay selection methods of two-way and two-way list relay selection method is used with authorization The receptible maximum interference value I of family institutethValue increase and constantly reduce;Limitation power, base station as cognition mobile subscriber Limitation power and the value of limitation power of each relaying be 25dBm, the receptible maximum interference value I of authorized user instituteth's When value is less than 25dBm, the power system capacity of four kinds of methods is with the receptible maximum interference value I of authorized user institutethValue increasing Add and is continuously increased, and as the receptible maximum interference value I of authorized userthValue be greater than 25dBm when, the method for the present invention with The power system capacity of the more relay selection methods of single channel is held essentially constant, the more relay selection methods of two-way and two-way list relay selection side The power system capacity of method is with the receptible maximum interference value I of authorized user institutethValue increase and constantly reduce;By simulation result Comparison is it is found that the method for the present invention makes power system capacity higher.

Claims (1)

1. the resource allocation methods in a kind of bi-directional relaying cognitive radio system based on DF agreement, it is characterised in that including with Lower step:
1. each channel set in bi-directional relaying cognitive radio system uses more Rayleigh fading models;Setting bi-directional relaying is recognized Know that radio system is made of a cognition mobile subscriber, a base station, M relaying and an authorized user, wherein M > 1; There is no direct link between setting cognition mobile subscriber and base station, L relaying need to be selected to carry out signal transmission, wherein 1≤L≤ M;
Set each relay selection half-duplex operation, the process that each relaying carries out signal transmission is divided into two time slots: the One time slot is multiple access time slot, and in the first slot, the transmission power of base station is denoted as by base station to all relay transmission signals PCB, while mobile subscriber is recognized to all relay transmission signals, the transmission power for recognizing mobile subscriber is denoted as PS, base station and recognize Know that when mobile subscriber transmits signal be to the same relay transmission signal;In the first slot, mobile subscriber and base station are recognized Interference is generated to authorized user;Second time slot is time slot, and in the second time slot, each relaying comes to received The signal of base station and the signal for carrying out autoepistemic mobile subscriber are broadcasted, power used note when by m-th of repeat broadcast signal ForIn the second time slot, each relaying also generates interference to authorized user;It is above-mentioned, 1≤m≤M;
Channel gain, cognition mobile subscriber between setting base station and each relaying and the channel gain between each relaying are recognized Know the channel gain between the channel gain between mobile subscriber and authorized user, base station and authorized user, each relaying and awards Power user between channel gain be all it is known, by base station and m-th relaying between channel gain, cognition mobile subscriber with M-th relaying between channel gain, cognition mobile subscriber and authorized user between channel gain, base station and authorized user it Between channel gain, m-th of relaying corresponding with the channel gain between authorized user be denoted as g1、g2、g3、g4、g5,Wherein, 1≤m≤M, Symbol " | | " it is the symbol that takes absolute value,Indicate the channel coefficients between base station and m-th of relaying,Expression is recognized Know the channel coefficients between mobile subscriber and m-th of relaying, hS-PUIndicate the channel between cognition mobile subscriber and authorized user Coefficient, hCB-PUIndicate the channel coefficients between base station and authorized user,It indicates between m-th of relaying and authorized user Channel coefficients;Setting cognition mobile subscriber and authorized user access frequency spectrum simultaneously and carry out signal transmission;Setting bi-directional relaying is recognized Know that all noises in radio system are all σn 2Additive white Gaussian noise;
2. by being denoted as by the rate of the bi-directional relaying cognitive radio system under DF agreement when m-th of relay transmission signalAccording to the rate of cognition mobile subscriber to m-th of relaying, the rate of base station to m-th of relaying, it is relayed to base station m-th Rate, be relayed to the rate of cognition mobile subscriber for m-th and relay for m-th and can handle the maximum limiting speed of signal, willDescription are as follows:And according to aromatic law, by RDFmDescription are as follows:Then in conjunction withWith It obtainsAnd then it obtains
Wherein, 1≤m≤M, min () are to be minimized function, R1Indicate that cognition mobile subscriber is in m-th in the first slot After rate,R2Indicate the rate that base station is relayed to m-th in the first slot,R3Indicate the rate for being relayed to base station for m-th in the second time slot, R4It indicates to be relayed to the rate for recognizing mobile subscriber m-th in the second time slot,R5It indicates the The maximum limiting speed that can handle signal is relayed m-th in two time slots,SNRmIndicate logical The signal-to-noise ratio of bi-directional relaying cognitive radio system when crossing m-th of relay transmission signal under DF agreement;
3. constructing the optimized allocation of resources problem in the bi-directional relaying cognitive radio system under DF agreement, description are as follows:
PS×g3+PCB×g4≤Ith
Wherein, max indicates " making to maximize ", εmThe selective factor B relayed for m-th, works as εmIt is selected that m-th of relaying is represented when=1 In, work as εmIt represents m-th of relaying when=0 not to be selected, RDFIt is double under DF agreement when signal transmission to indicate that L relaying of selection carries out To the power system capacity of relaying cognitive radio system, s.t. indicates " constrained in ... ",Indicate the limit of cognition mobile subscriber Power processed,Indicate the limitation power of base station,Indicate the limitation power of m-th of relaying, IthIndicate authorized user institute energy The maximum interference value of receiving, the 1st constraint condition are PSRestrictive condition, the 2nd constraint condition is PCBRestrictive condition, the 3rd A constraint condition isRestrictive condition, the 4th constraint condition indicates that cognition mobile subscriber is in m-th in the first slot Base station pair when recognizing interference that mobile subscriber generates authorized user and base station when transmitting signal to m-th of relay transmission signal The sum of interference that authorized user generates is no more than the receptible maximum interference value of authorized user institute, and the 5th constraint condition indicates It is no more than the receptible maximum of authorized user institute to the interference that authorized user generates when M repeat broadcast signal in second time slot Interference value, the 6th constraint condition indicate εmValue limitation;
4. solution procedure 3. in optimized allocation of resources problem, in solution procedure use the maximized feature of DF protocol capacity, It solves and obtains the power relation between cognition mobile subscriber, base station and each relaying;Then with each repeat broadcast signal when institute Power is come power and base station used when indicating cognition mobile subscriber to this relay transmission signal to this relay transmission Power used when signal, acquisition pass through the bi-directional relaying cognitive radio system under DF agreement when each relay transmission signal The value of signal-to-noise ratio;Then permutation and combination is carried out by the value to all signal-to-noise ratio, finds a kind of signal-to-noise ratio combination, the signal-to-noise ratio group The value of all signal-to-noise ratio in conjunction and value meet step 3. in optimized allocation of resources problem in the 5th constraint condition under It is maximum;Further according to find signal-to-noise ratio combination in all signal-to-noise ratio value and value, acquisition DF agreement under bi-directional relaying recognize When the maximum system capacity and the corresponding L relaying of maximum system capacity for knowing radio system are with L relaying respective broadcast singal Power used;
The detailed process of the step 4. are as follows:
4. _ 1, working as R according to the maximized feature of DF protocol capacity1=R3And R2=R4When, RDFValue is maximum;Then basisAnd R1=R3, obtainAnd according toAnd R2=R4, obtainThen according toWithIt willIt is converted intoAnd it obtainsWith
4. _ 2, basisWithIt will
It is converted into
PS×g3+PCB×g4≤Ith
Then in conjunction with
In preceding 4 constraint condition, obtain
Then according to
It will
It is converted into
4. _ 3, working as R1=R3And R2=R4When, it willIt is converted into Then basisAnd WithIt solvesObtain SNRmValue;
4. _ 4, the value for 4. _ 3 solving M obtained signal-to-noise ratio to step carries out permutation and combination, when selecting 1 relaying, relaying hasKind selection, signal-to-noise ratio haveKind combination;When selecting 2 relayings, relaying hasKind selection, signal-to-noise ratio haveKind group It closes;And so on, when selecting M relaying, relaying hasKind selection, signal-to-noise ratio haveKind combination;Then every kind of letter is calculated Make an uproar than combination in all signal-to-noise ratio value and value;Then fromSatisfaction is found out in a and valueMaximum value, be denoted as SNRmax;In conjunction with SNRmaxWith
It obtains
And then obtain RDFValue, the value be DF agreement under bi-directional relaying cognitive radio system The maximum system capacity of system, and obtain used when the corresponding L relaying of maximum system capacity and the L respective broadcast singal of relaying Power.
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