CN105554790B - Energy efficiency optimization method in asymmetric bidirectional relay system - Google Patents

Energy efficiency optimization method in asymmetric bidirectional relay system Download PDF

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CN105554790B
CN105554790B CN201610037745.4A CN201610037745A CN105554790B CN 105554790 B CN105554790 B CN 105554790B CN 201610037745 A CN201610037745 A CN 201610037745A CN 105554790 B CN105554790 B CN 105554790B
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CN105554790A (en
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李靖
曾红霞
傅小叶
葛建华
王勇
宫丰奎
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Xidian University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W24/00Supervisory, monitoring or testing arrangements
    • H04W24/02Arrangements for optimising operational condition
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/18TPC being performed according to specific parameters
    • H04W52/26TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service]
    • H04W52/267TPC being performed according to specific parameters using transmission rate or quality of service QoS [Quality of Service] taking into account the information rate
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W52/00Power management, e.g. TPC [Transmission Power Control], power saving or power classes
    • H04W52/04TPC
    • H04W52/38TPC being performed in particular situations
    • H04W52/46TPC being performed in particular situations in multi hop networks, e.g. wireless relay networks

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

Abstract

The invention discloses the energy efficiency optimization method in a kind of asymmetric bidirectional relay system, mainly solve the problems, such as that existing optimal power contribution method energy efficiency is low.Its technical solution includes: obtain in asymmetric bidirectional relay system two user equipmenies and rate;It is proposed the initial optimization problem that target is turned to energy efficiency maximum;According to the rate of two user equipmenies, initial optimization problem is rewritten as double optimization problem;Internal layer optimization problem and outer layer optimization problem are converted by double optimization problem again, and obtains the optimal solution of the inside and outside layer optimization problem;Finally, obtaining the optimal power contribution of two user equipmenies and relaying according to the optimal solution of inside and outside layer optimization problem.The perfect available circuit of the present invention consumes power module, and energy efficiency optimization method computation complexity is low, realizes simple, can be used for the data transmission of asymmetric bidirectional relay system.

Description

Energy efficiency optimization method in asymmetric bidirectional relay system
Technical Field
The invention belongs to the technical field of mobile communication systems, and particularly relates to an intermediate energy efficiency optimization method which can be used for an asymmetric bidirectional relay system.
Background
With the gradual rise of mobile internet and internet of things, the energy consumption cost is continuously increased and the ecological environment is gradually deteriorated due to the explosive growth of mobile data traffic and massive device connection, and thus, green communication technology is receiving attention. As a green index for measuring energy consumption of communication systems, energy efficiency is a hot research spot today. In order to overcome the defects of time slot waste and low spectrum efficiency of the traditional relay technology, a two-way relay channel TWRC is introduced. In the TWRC system, two terminal nodes realize data interaction through a relay, and when the relay performs only amplification forwarding AF processing on received signals, the number of time slots for realizing one-time information interaction of the two terminals is reduced to 2 from 4 of the traditional relay, so that the frequency spectrum efficiency is obviously improved.
Currently, in the bidirectional relay system, the energy consumption of the antenna for transmitting data is mainly considered in the research on the aspect of energy efficiency optimization, and some scientific achievements are obtained. With the goal of maximizing energy efficiency, the article "energy efficient design in AF relay networks with bidirectional information analysis traffic" by Huang R et al in Wireless communication and network engineering works, FRA: IEEE,2012:7-11 proposes the best energy saving scheme for joint relay selection and power allocation. Under the condition of meeting the user rate requirement And the constraint of transmission Energy consumption, the link level Energy Efficiency of the distributed beamforming ANC system is optimized by Li Q And the like In an article 'Tradeoff Between Energy Efficiency-walk Relay Network' on 14th International Conference on Communication technology, China: IEEE,2012: 929-. These studies consider the traditional long-distance transmission scenario, where the transmission energy accounts for most of the total energy consumption of the system, so that only the transmission energy consumption is considered when building the total energy consumption model, and the circuit energy consumption is ignored.
With the increase of the terminal density, the distance between the terminals is gradually reduced, and the circuit energy consumption is close to or even larger than the transmission energy consumption, such as: in the aware network, the total energy consumption model must take into account the circuit energy consumption. Wang T et al in IEEE transaction On Communications,2013,61(12):4910 + 4921 consider Circuit Power consumption in short-range point-to-point transmission scenarios and model it as two parts: static circuit power consumption, i.e. the power consumption of the circuit independent of the transmission rate, dynamic circuit power consumption, i.e. the power consumption of the circuit dependent on the transmission rate, wherein the dynamic circuit power consumption is a convex increasing function of the transmission rate. Existing circuit energy consumption models, such as: constant, linear function of transmission rate, are both special cases. The paper proposes an optimal power allocation scheme with maximized energy efficiency, but the scheme only considers a point-to-point linear chain transmission scenario.
In order to meet the requirements of different users for different transmission rates and realize different applications, the consideration of the requirement of asymmetric transmission rate is indispensable. An article "Energy-efficiency Relay Selection and Power Allocation for two-Way Relay Channel with Analog Network Coding" of Zhou M et al, IEEE Communications Letters,2012,16(6):816-819 proposes a Relay Selection strategy and a Power Allocation scheme for minimizing total transmission Energy consumption under a condition of satisfying an end-to-end minimum transmission rate of an asymmetric bidirectional Relay system.
Disclosure of Invention
The invention aims to provide an energy efficiency optimization method in an asymmetric bidirectional relay system aiming at the defects of the prior art, so as to improve the energy efficiency of a communication system, ensure the reliable link of a communication link and realize green communication.
In order to achieve the purpose, the technical scheme of the invention comprises the following steps:
(1) obtaining sum rate R of two user equipments A, B in asymmetric bidirectional relay systemtot(P):
(1a) Respectively calculating the rate R of the first user equipment AA(P) and rate R of second user equipment BB(P):
(1b) Calculating the sum rate of the first user equipment A and the second user equipment B:
Rtot(P)=RA(P)+RB(P),
wherein, P ═ PA,PB,PR]For transmitting power vectors, PA、PBAnd PRRepresents the transmit power of the user equipment A, B and relay R, respectively;
(2) calculating energy efficiency η for asymmetric two-way relay systemEE(P) and presents an initial optimization problem P1 with the goal of maximizing energy efficiency:
(2a) rate R according to the sum of two user equipments A, Btot(P), calculating the energy efficiency η of the systemEE(P)=Rtot(P)/Ptot(P);
Wherein P istot(P)=(PA+PB+PR)/ε+PcFor the total power of the system to be,for the circuits in the system to consume power, R ═ RA,RB]For the velocity vectors of both user devices A, B,the power is consumed for the circuits that are static,for dynamic circuit power consumption, ε ∈ (0, 1)]To power amplification efficiency;
(2b) energy efficiency η according to systemEE(P), constructing an initial optimization problem P1 with the goal of maximizing energy efficiency:
wherein R isth,iDenotes the lowest transmission rate, P, of the user equipment i per unit bandwidthTA total transmit power threshold for both user equipment A, B and relay R;
(3) rate R according to two user equipments A, BA(P) and RB(P), rewriting the initial optimization problem P1 to quadratic optimization problem P2:
whereinIndicating the transmission power, P, of the user equipment BR(r,PA) Indicates the transmission power of the relay R and,gi=|hi|2 represents the total transmit power of both user equipment A, B and relay R;
(4) converting the secondary optimization problem P2 into an Inner optimization problem P3_ Inner and an outer optimization problem P3_ Outter:
determining the argument optimization order of the quadratic optimization problem P2, i.e. first optimizing the transmission power P of the first user equipment AAAnd then optimizing the velocity vector r, obtaining the second optimization problem P2 converted into an Inner layer optimization problem P3_ Inner and an outer layer optimization problem P3_ Outter:
wherein,respectively for the first user equipment A, the second user equipment B and the relay R, and taking the velocity vector R as the optimal transmitting power of the independent variable,the optimal total transmit power with the rate vector r as an argument;
(5) obtaining an optimal objective function value for the Inner layer optimization problem P3_ Inner
(5a) Obtaining the optimal solution of the transmitting power of the first user equipment A by using a Karush-Kuhn-Tucker condition according to the characteristic that the Inner layer optimization problem P3_ Inner is a convex plan
(5b) Will be provided withFormula P in step (3) respectivelyR(r,PA)、PB(r,PA) Obtaining the optimal solution of the transmission power of the relay R and the second user equipment B under the Inner layer optimization problem P3_ Inner
(5c) Calculating the optimal objective function value of the Inner layer optimization problem P3_ Inner according to the results of (5a) and (5b)
(6) Obtaining the optimal rate r of the system in the outer optimization problem P3_ Outter*
(6a) According to the characteristic that the outer optimization problem P3_ Outter is nonlinear fractional programming, the outer optimization problem P3_ Outter is converted into a cubic optimization problem P4 by using a nonlinear fractional programming theorem:
wherein q is any non-negative parameter;
(6b) for any given non-negative parameter q, obtaining the optimal velocity vector of the cubic optimization problem P4 by a convex optimization methodAnd an optimal objective function value F*(q) min { F (r, q) | r ∈ xi }, where xi represents the rate constraint of the cubic optimization problem P4An area;
(6c) let F*(q) is 0 to give F*Zero point value q of (q)*={q|F*(q)=0},q*The optimal energy efficiency value of the system is obtained;
(6d) determining the optimal energy efficiency value q of the system*Bringing into the optimal velocity vector r*(q) obtaining the optimal rate r of the system*=r*(q*);
(7) The optimal rate r of the system*Respectively carried over to step (5)Andin the method, optimal power allocation values of two user equipment A, B and relay R in the system are respectively obtainedAnd
compared with the prior art, the invention has the following advantages:
first, the present invention adopts a transmission rate-related circuit power consumption model, and fully considers short-range transmission scenarios rather than long-range transmission scenarios, and thus is more widely applied in practical communication environments.
Second, compared with the conventional equal power allocation method and the optimal power allocation method ignoring circuit energy consumption, the optimal power allocation method provided by the invention can maximize the energy efficiency of the system, effectively reduce the energy required by unit data transmission, and realize green communication.
Thirdly, the optimal power distribution method provided by the invention guarantees the service requirement of the asymmetric transmission rate of the uplink and the downlink aiming at the common asymmetric communication service, thereby being more in line with the practical application.
Drawings
FIG. 1 is a diagram of an asymmetric two-way relay system model used in the present invention;
FIG. 2 is a flow chart of an implementation of the present invention;
FIG. 3 is a graph of the lowest transmission rate value R in the A → R → B direction using the method of the present invention, the conventional equal power allocation method and the optimal power allocation method ignoring circuit power consumptionth,BEnergy efficiency of the system at 2bit/s is plotted against the energy efficiency of the system.
FIG. 4 is a graph of the lowest transmission rate value R in the A → R → B direction using the method of the present invention, the conventional equal power allocation method and the optimal power allocation method ignoring circuit power consumptionth,BEnergy efficiency of the system at 4bit/s is plotted.
Detailed Description
The following further describes embodiments and effects of the present invention with reference to the drawings.
Referring to fig. 1, an asymmetric bidirectional relay system model used in the present invention includes a relay R and two ues, i.e., a first ue a and a second ue B, each node has only a single antenna and operates in a half-duplex mode, because there is severe shadow fading between the two ues A, B in the system, so that the linear channels between the two ues cannot communicate, they can only use the relay R for data interaction, wherein the protocol used by the relay R is an amplify-and-forward protocol, assuming that the channels between the first ue a and the relay R, and between the second ue B and the relay R are all independent quasi-static flat rayleigh fading, and path loss indices are all α, the distance between the ue i and the relay R is diChannel gain of hiWhereini belongs to { A, B }. The Gaussian white noise power at all nodes in the system is N0
The asymmetric bidirectional relay system of the invention provides asymmetric transmission rate QoS guarantee, and the minimum transmission rate guaranteed by the system is respectively R for the data flow in the A → R → B direction and the data flow in the B → R → A directionthBAnd RthA
Referring to fig. 2, the energy efficiency optimization method in the asymmetric bidirectional relay system of fig. 1 according to the present invention includes the following steps:
step 1, obtaining sum rate R of two user equipments A, B in asymmetric bidirectional relay systemtot(P)。
(1a) Respectively calculating the rate R of the first user equipment AA(P) and rate R of second user equipment BB(P):
Wherein:for the signal-to-noise ratio of the first user equipment a,
for the signal-to-noise ratio of the second user equipment B,
hAdenotes the channel gain, h, of the first user equipment A to the relay RBRepresenting the channel gain, N, of the second user equipment B to the relay R0Complex gaussian white noise power, G is the amplification factor at the relay R,PAindicating the transmission power, P, of the first user equipment ABRepresenting the transmission power, P, of the second user equipment BRRepresents the transmission power of the relay R;
(1b) adding the rate of the first user equipment A and the rate of the second user equipment B to obtain the sum rate of the first user equipment A and the second user equipment B:
Rtot(P)=RA(P)+RB(P),
wherein, P ═ PA,PB,PR]Is a transmit power vector.
Step 2, calculating the energy efficiency η of the asymmetric two-way relay systemEE(P)。
(2a) Calculating the power consumption of a dynamic circuit of the asymmetric bidirectional relay system:
wherein ξ is a constant of phi (R) and not less than 0A,RB) Is RA、RBConvex increasing function, R ═ RA,RB]Velocity vectors of a first user equipment A and a second user equipment B are obtained;
(2b) calculating the circuit consumption power of the asymmetric bidirectional relay system:
wherein,consuming power for static circuits;
(2c) calculating the total power P of an asymmetric two-way relay systemtot(P):
Ptot(P)=(PA+PB+PR)/ε+Pc
Wherein epsilon (0, 1) is power amplification efficiency;
(2d) the sum rate R of the first user equipment A and the second user equipment B in the step 1 is obtainedtot(P) and total power P of the systemtot(P) performing a division to obtain the energy efficiency of the system:
ηEE(P)=Rtot(P)/Ptot(P)。
step 3, energy efficiency η according to systemEE(P), constructing an initial optimization problem P1 with the goal of maximizing energy efficiency:
wherein R isth,iDenotes the lowest transmission rate, P, of the user equipment i per unit bandwidthTA total transmit power threshold for both user equipment A, B and relay R.
Step 4, rewriting the initial optimization problem P1 into a quadratic optimization problem P2:
(4a) according to the rate R of the first user equipment A and the second user equipment BA(P) and RB(P) respectively obtaining:
transmission power of the second user equipment B:
transmission power of relay R:
wherein,
then at the rate vector r and the transmit power P of the first user equipment aAThe total transmit power as an argument may be expressed as:j'∈{B,R};
(4b) will PB(r,PA),PR(r,PA),And substituting the initial optimization problem P1 to obtain a secondary optimization problem P2:
and 5, converting the secondary optimization problem P2 into an Inner layer optimization problem P3_ Inner and an outer layer optimization problem P3_ Outter according to the independent variable optimization sequence.
(5a) Determining the independent variable optimization sequence of the quadratic optimization problem P2, firstly optimizing the transmission power P of the first user equipment AAObtaining a second optimization problem P2 transformed into an Inner layer optimization problem P3_ Inner:
(5b) optimizing the rate vector r to obtain a second optimization problem P2 transformed into an outer optimization problem P3_ Outter:
wherein,respectively for the first user equipment A, the second user equipment B and the relay R, and taking the velocity vector R as the optimal transmitting power of the independent variable,is the optimal total transmit power with the rate vector r as argument.
Step 6, obtaining the optimal objective function value of the Inner layer optimization problem P3_ Inner
(6a) According to the characteristic that the Inner layer optimization problem P3_ Inner is convex programming, by using the Karush-Kuhn-Tucker condition, the method is to sayTo PAIs set to zero:obtaining the optimal solution of the transmitting power of the first user equipment A
(6b) Will be provided withFormula P in step 4R(r,PA)、PB(r,PA) Respectively obtaining the optimal solution of the transmission power of the relay R under the Inner layer optimization problem P3_ InnerAnd the optimum solution of the transmission power of the second user equipment B
(6c) Comparing the calculation results in (6a) and (6b)Andadding to obtain the optimal objective function value of the Inner optimization problem P3_ Inner
Step 7, obtaining the optimal rate r of the system in the outer optimization problem P3_ Outer*
(7a) According to the characteristic that the outer optimization problem P3_ Outter is nonlinear fractional programming, a convex function F (r, q) with parameters is defined by using the nonlinear fractional programming theorem, namely an objective function of the outer optimization problem P3_ Outter is firstly utilized:
wherein q is any non-negative parameter, then adding a constraint condition in P3_ Outter, and converting the outer layer optimization problem P3_ Outter into a cubic optimization problem P4:
(7b) for any given non-negative parameter q, obtaining the optimal velocity vector r of the cubic optimization problem P4 by a convex optimization method*(q) and the optimal objective function value F*(q):
Common convex optimization methods include a lagrange multiplier method, an inner point method and an outer point method, the lagrange multiplier method is used in the example, and the specific equation is as follows:
wherein L is a Lagrangian function, λAAnd λBIs a lagrange multiplier;
solving the equation to obtain the optimal velocity vector r*(q) and the optimal objective function value F*(q):
F*(q)=min{F(r,q)|r∈Ξ},
Wherein xi is a rate constraint region of the cubic optimization problem P4;
(7c) let F*(q) is 0 to give F*Zero point value q of (q)*={q|F*(q) ═ 0}, where q is equal to*The optimal energy efficiency value of the system is obtained;
(7d) determining the optimal energy efficiency value q of the system*Substituting the optimal velocity vector r of step (7b)*(q) obtaining the optimal rate r of the system*=r*(q*)。
Step 8, according to the optimal speed r of the system*The optimal power allocation values for the two user equipments A, B and the relay R are obtained.
(8a) The optimal rate r of the system*Substituting the optimal solution of the transmission power of the first user equipment A in the step 6Obtaining the optimal power distribution value of the first user equipment A
(8b) The optimal rate r of the system*Substituted into the second in step 6Optimal solution for transmission power of user equipment BObtaining the optimal power distribution value of the second user equipment B
(8c) The optimal rate r of the system*Substituting into the optimal solution of the transmission power of the relay R in the step 6Obtaining the optimal power distribution value of the relay R
The effects of the present invention can be further illustrated by the following simulations:
1) simulation conditions are as follows:
the two ues A, B are located on the same line with the relay R, and the distance between the two ues A, B is normalized to 1, i.e. dA+dB=1,dADenotes the distance between the first user equipment A and the relay R, dBIndicating the distance between the second user equipment B and the relay R.
Assuming that the path loss exponent α is 3, the channel gain variances of the two user equipments A, B are respectively Static circuit power consumptionEnergy consumption per bit rateEfficiency of power amplification0.35, noise power N01mw, lowest transmission rate R in B → R → A directionth,AThe lowest transmission rate in the a → R → B direction is set to R2 bit/sth,B2bit/s and Rth,BTwo cases of 4 bit/s.
2) Simulation content and results:
simulation 1, taking the lowest transmission rate value R of the A → R → B directionth,BUnder the above simulation conditions, the normalized optimal energy efficiency of the asymmetric bidirectional relay system is simulated and compared by using three methods, namely the method of the present invention, the conventional equal power allocation method EPA, and the conventional optimal power allocation method OPA-Traditional which ignores circuit energy consumption, and the result is shown in fig. 3. In fig. 3, the abscissa represents the distance d between the first ue a and the relay RAAnd the ordinate is the normalized optimal energy efficiency of the system.
Simulation 2, taking the lowest transmission rate value R of the A → R → B directionth,BUnder the above simulation conditions, the normalized optimal energy efficiency of the asymmetric bidirectional relay system is simulated and compared by using three methods, namely the method of the present invention, the conventional equal power allocation method EPA, and the conventional optimal power allocation method OPA-Traditional which ignores circuit energy consumption, and the result is shown in fig. 4. In fig. 4, the abscissa represents the distance d between the first ue a and the relay RAAnd the ordinate is the normalized optimal energy efficiency of the system.
As can be seen from fig. 3 and 4, the energy efficiency of the method of the present invention is superior to that of the existing optimal power allocation method which ignores the circuit energy consumption, and this phenomenon indicates that if the circuit energy consumption is ignored in the wireless communication design, severe performance degradation will be brought, which indicates that the method of the present invention is more suitable for the actual communication scenario; in addition, the optimal energy efficiency under the method is always higher than that under the two existing distribution methods, and the optimality of the method is shown.

Claims (3)

1. The energy efficiency optimization method in the asymmetric bidirectional relay system comprises the following steps:
(1) obtaining sum rate R of two user equipments A, B in asymmetric bidirectional relay systemtot(P):
(1a) Respectively calculating the rate R of the first user equipment AA(P) and rate R of second user equipment BB(P):
(1b) Calculating the sum rate of the first user equipment A and the second user equipment B:
Rtot(P)=RA(P)+RB(P),
wherein, P ═ PA,PB,PR]For transmitting power vectors, PA、PBAnd PRRepresents the transmit power of the user equipment A, B and relay R, respectively;
(2) calculating energy efficiency η for asymmetric two-way relay systemEE(P) and presents an initial optimization problem P1 with the goal of maximizing energy efficiency:
(2a) rate R according to the sum of two user equipments A, Btot(P), calculating the energy efficiency η of the systemEE(P)=Rtot(P)/Ptot(P);
Wherein P istot(P)=(PA+PB+PR)/ε+PcFor the total power of the system to be,for the circuits in the system to consume power, R ═ RA,RB]For the velocity vectors of both user devices A, B,the power is consumed for the circuits that are static,for dynamic circuit power consumption, ε ∈ (0, 1)]To power amplification efficiency;
(2b) energy efficiency η according to systemEE(P), constructing an initial optimization problem P1 with the goal of maximizing energy efficiency:
(P1)
wherein R isth,iDenotes the lowest transmission rate, P, of the user equipment i per unit bandwidthTA total transmit power threshold for both user equipment A, B and relay R;
(3) rate R according to two user equipments A, BA(P) and RB(P), rewriting the initial optimization problem P1 to quadratic optimization problem P2:
(P2)
whereinIndicating the transmission power, P, of the user equipment BR(r,PA) Indicates the transmission power of the relay R and,gi=|hi|2,hAdenotes the channel gain, h, of the first user equipment A to the relay RBRepresenting the channel gain of the second user equipment B to the relay R, represents the total transmit power of both user equipment A, B and relay R;
(4) converting the secondary optimization problem P2 into an Inner optimization problem P3_ Inner and an outer optimization problem P3_ Outter:
determining the argument optimization order of the quadratic optimization problem P2, i.e. first optimizing the transmission power P of the first user equipment AAAnd then optimizing the velocity vector r, obtaining the second optimization problem P2 converted into an Inner layer optimization problem P3_ Inner and an outer layer optimization problem P3_ Outter:
(P3_Inner)
(P3_Outter)
wherein,respectively for the first user equipment A, the second user equipment B and the relay R, and taking the velocity vector R as the optimal transmitting power of the independent variable,the optimal total transmit power with the rate vector r as an argument;
(5) obtaining an optimal objective function value for the Inner layer optimization problem P3_ Inner
(5a) Obtaining the optimal solution of the transmitting power of the first user equipment A by using a Karush-Kuhn-Tucker condition according to the characteristic that the Inner layer optimization problem P3_ Inner is a convex plan
(5b) Will be provided withFormula P in step (3) respectivelyR(r,PA)、PB(r,PA) Obtaining the optimal solution of the transmission power of the relay R and the second user equipment B under the Inner layer optimization problem P3_ Inner
(5c) Calculating the optimal objective function value of the Inner layer optimization problem P3_ Inner according to the results of (5a) and (5b)
(6) Obtaining the optimal rate r of the system in the outer optimization problem P3_ Outter*
(6a) According to the characteristic that the outer optimization problem P3_ Outter is nonlinear fractional programming, the outer optimization problem P3_ Outter is converted into a cubic optimization problem P4 by using a nonlinear fractional programming theorem:
(P4)
wherein q is any non-negative parameter;
(6b) for any given non-negative parameter q, obtaining the optimal velocity vector of the cubic optimization problem P4 by a convex optimization methodAnd an optimal objective function value F*(q) min { F (r, q) | r ∈ xi }, wherein xi represents a rate constraint region of the cubic optimization problem P4;
(6c) let F*(q) is 0 to give F*Zero point value q of (q)*={q|F*(q)=0},q*The optimal energy efficiency value of the system is obtained;
(6d) determining the optimal energy efficiency value q of the system*Bringing into the optimal velocity vector r*(q) obtaining the optimal rate r of the system*=r*(q*);
(7) The optimal rate r of the system*Respectively carried over to step (5)Andin the method, optimal power allocation values of two user equipment A, B and relay R in the system are respectively obtainedAnd
2. the compound of claim 1Method for energy efficiency optimization in a symmetric two-way relay system, wherein step (1a) calculates the rate R of the first user equipment A separatelyA(P) and rate R of second user equipment BB(P), calculated as follows:
whereinFor the signal-to-noise ratio of the first user equipment a,is the signal-to-noise ratio, h, of the second user equipment BADenotes the channel gain, h, of the first user equipment A to the relay RBRepresenting the channel gain, N, of the second user equipment B to the relay R0Complex gaussian white noise power, G is the amplification factor at the relay R,
3. the method for energy efficiency optimization in an asymmetric bidirectional relay system as in claim 1, wherein the dynamic circuit in step (2) consumes powerIt has the following expression:
wherein ξ is a constant equal to or greater than 0, phi (R)A,RB) Is RA、RBA convex increasing function.
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