CN107249213A - A kind of maximized power distribution method of D2D communication Intermediate Frequencies spectrum efficiency - Google Patents
A kind of maximized power distribution method of D2D communication Intermediate Frequencies spectrum efficiency Download PDFInfo
- Publication number
- CN107249213A CN107249213A CN201710358065.7A CN201710358065A CN107249213A CN 107249213 A CN107249213 A CN 107249213A CN 201710358065 A CN201710358065 A CN 201710358065A CN 107249213 A CN107249213 A CN 107249213A
- Authority
- CN
- China
- Prior art keywords
- mrow
- msubsup
- msub
- user
- mfrac
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
- 238000004891 communication Methods 0.000 title claims abstract description 36
- 238000000034 method Methods 0.000 title claims abstract description 32
- 238000001228 spectrum Methods 0.000 title abstract description 13
- 230000001413 cellular effect Effects 0.000 claims abstract description 86
- 230000005540 biological transmission Effects 0.000 claims abstract description 22
- 230000003595 spectral effect Effects 0.000 claims description 13
- 239000011159 matrix material Substances 0.000 claims description 11
- 239000000969 carrier Substances 0.000 claims description 3
- 238000005457 optimization Methods 0.000 abstract description 10
- 238000004364 calculation method Methods 0.000 abstract description 3
- 238000005516 engineering process Methods 0.000 description 7
- 230000003993 interaction Effects 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 230000008859 change Effects 0.000 description 2
- 238000005034 decoration Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000012544 monitoring process Methods 0.000 description 2
- 230000003247 decreasing effect Effects 0.000 description 1
- 238000005562 fading Methods 0.000 description 1
- 238000010295 mobile communication Methods 0.000 description 1
- 230000008569 process Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
Classifications
-
- 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
-
- 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
-
- 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
Landscapes
- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Quality & Reliability (AREA)
- Mobile Radio Communication Systems (AREA)
Abstract
The invention discloses a kind of maximized power distribution method of D2D communication Intermediate Frequencies spectrum efficiency, by the transmission power of distributed optimization phone user, the transmission power of D2D user couple, the spectrum efficiency of D2D user is maximized in the case where ensureing the power limit of grand user's minimum quality of service requirement and D2D user and phone user.In the case of given cellular band resource, the spectrum efficiency for maximizing D2D communications is equivalent to maximize D2D communicates and speed.Method presents in any D2D user all channels can be used, and any channel can simultaneously by all D2D user occupancies in the case of, optimal phone user's transmission power and D2D link transmission powers.It is approximately mainly the convex optimization problem that can be solved by non-convex problem with convex approximate method, and rapidly converges to using the closed solutions provided the optimization solution of convex problem.The present invention has fast convergence rate, and amount of calculation is small, it is easy to accomplish, the advantages of as a result precision is high.
Description
Technical Field
The invention relates to a D2D communication technology, in particular to a rapid optimization algorithm for maximizing the spectrum efficiency of a D2D user under the condition of ensuring the minimum service quality requirement of a cellular user and the power limit of the D2D user and the cellular user by distributively optimizing the transmitting power of the cellular user and the transmitting power of the D2D user, belonging to the technical field of mobile communication networks.
Background
D2D communication refers to a technology for realizing communication between adjacent users directly by using cellular network resources without base station switching. The D2D technology is expected to reduce base station load, improve coverage rate, reduce energy efficiency and improve cellular spectrum utilization rate. A great deal of research has shown that D2D communication over cellular networks can provide more stable, higher speed wireless services in local areas. The D2D technology has a wide application prospect, for example, in a large-scale meeting, a host issues a resource address to all meeting participants to allow the participants to subsidize and obtain electronic resources. If all people make requests to the site through the cellular network at the same time, even if the server of the site can withstand such high concurrent access, the cellular network carrying all of this can cause network congestion due to limited spectrum resources. At this time, if the D2D sharing technology is introduced, the device that has downloaded the resource shares it to other nearby user devices through the D2D network, which will greatly reduce the congestion time of the network and improve the user experience.
Since the D2D users and the cellular users share the spectrum resources, the D2D users must also interfere with the cellular users while utilizing the cellular network resources, and vice versa. The key to the exploitation of the advantages of the D2D technology is therefore the efficient management of interference, which mainly includes the allocation of cellular frequency bands by D2D users, the transmission power control of D2D users and base stations. The effective control method can maximize the sum communication rate of the D2D users under the condition of ensuring the service quality requirement of the cellular users, thereby improving the spectrum utilization rate of cellular resources.
In the traditional centralized algorithm, channel information and noise information are measured and collected by all D2D devices and cellular users and then transmitted to the base station for centralized optimization, but the information interaction cost of the method is too high, and the channel condition changes with the change of the relative position of the D2D users, which results in repeated calculation and low efficiency. Now, a method for coexistence of distributed optimization and a small amount of information interaction is proposed: firstly, the D2D equipment acquires interference information, channel state information, a cellular system and other related information by comprehensively sensing the surrounding wireless environment, then performs wireless resource management in an autonomous mode, and acquires global information with the assistance of a base station, and realizes distributed control by a small amount of information interaction.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to provide a power distribution method for maximizing spectral efficiency in D2D communication, which maximizes the spectral efficiency of D2D users under the condition of ensuring the minimum service quality requirement of cellular users and the power limit of D2D users and cellular users by distributively optimizing the transmitting power of cellular users and the transmitting power of D2D users.
The technical scheme is as follows: in order to achieve the purpose, the invention adopts the following technical scheme:
a power distribution method for maximizing spectral efficiency in D2D communication maximizes the spectral efficiency of D2D users under the condition of ensuring the minimum service quality requirement of cellular users and the power limit of the D2D users and the cellular users by distributively optimizing the transmitting power of the cellular users and the transmitting power of the D2D users. Spectral efficiency refers to the bit rate of data transmitted on a channel per unit bandwidth, maximizing the spectral efficiency of D2D communication is equivalent to maximizing the sum rate of D2D communication given the cellular band resources. The method comprises the following steps:
(1) base station setting initial transmitting power matrix z ∈ R of D2D communication equipmentN×KN, K are the total number of D2D user pairs and the total number of available carriers, respectively;
(2) computing an approximation coefficient matrix a, b from z, where a, b ∈ RN×KAnd is
Wherein,is the channel gain on the kth carrier from the transmitting end of the ith D2D user pair to the receiving end of the ith D2D user pair,is the equivalent channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith D2D user pair,the receiving end of the ith D2D user pair receives the equivalent noise power on the carrier k;
(3) the base station broadcasts the approximation coefficient matrixes a and b and equivalent channel gain and noise to each D2D user pair, each D2D user pair iteratively calculates the transmitting power based on a Lagrange multiplier method under the condition that the sum power does not exceed the maximum limit, and the transmitting power of the transmitting end of the ith D2D user pair on a carrier k is as follows:
wherein,is the channel gain on carrier k from the transmitting end of the ith D2D user pair to the base station,is the channel gain for the k-th cellular user to reach the base station over carrier k,represents the maximum transmit power on carrier k at the transmitting end of the ith D2D user pair,representing a number in spaceThe projection of the image onto the image plane is performed,respectively represent lambdan，μnThe ith, k component of (a), λn，μnRespectively representing the values of Lagrange multipliers lambda and mu in the nth iteration;
(4) and (3) feeding the calculated transmission power back to the base station by each D2D user pair, comparing the obtained transmission power matrix p of the D2D user pair with the matrix z by the base station to judge whether convergence occurs, if convergence does not occur, making z equal to p, turning to the step (2), and if convergence occurs, calculating the transmission power of each cellular user by the base station.
Further, the equivalent channel gain in step (2)And equivalent noiseCalculated according to the following formula:
wherein,ρkis the quality of service limit for the kth cellular user,is the channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith user pair,is the channel gain from the kth cellular user over carrier k to the receiving end of the ith D2D user pair;is the noise power received on carrier k at the receiving end of the ith D2D user pair,is the noise power received by the base station on carrier k.
Further, the values of the lagrangian multipliers λ and μ in step (3) are updated according to the following formulas:
wherein,is the step size of the nth iteration,is the ith D2D device transmit end maximum and power limit,is the maximum transmit power limit for the kth cellular user.]+Representing a projection onto a positive real space,ρkis the quality of service limit for the kth cellular user,is the channel gain on carrier k from the transmitting end of the jth D2D user pair to the base station,is the noise power received by the base station on carrier k.
Further, the transmission power of the kth cellular user in step (4) is calculated according to the following formula:
wherein p isjkIs the transmit power on carrier k of the transmit end of the jth D2D user pair,is the channel gain on carrier k from the transmitting end of the jth D2D user pair to the base station,is the noise power received by the base station on carrier k,ρkis the quality of service limit for the kth cellular user.
Has the advantages that: compared with the prior art, the power distribution method for maximizing the spectrum efficiency in D2D communication provided by the invention has the following advantages: 1. the method provided by the invention can be applied to a multi-channel scene of multi-D2D users, namely, any D2D user can use all channels, and any channel can be occupied by all D2D users at the same time, so that the method has universality; 2. according to the method, the D2D user transmitting power is expressed by using a closed-form solution, a non-convex problem is approximated to a solvable convex optimization problem by using a convex approximation method, and the optimal solution of the convex problem can be converged quickly; 3. the invention adopts the power distribution scheme to obtain a better power transmission scheme; 4. the power distribution scheme provided by the invention can obtain higher D2D communication spectrum efficiency; 5. the invention has the advantages of high convergence rate, small calculation amount, easy realization, high result precision and the like.
Drawings
Fig. 1 is a schematic diagram of D2D communication technology system interference based on a cellular network downlink, wherein a base station is at coordinates (0, 0);
fig. 2 is a schematic diagram of the locations of cellular users and D2D users randomly distributed in a cell;
FIG. 3 is a schematic flow diagram of the method of the present invention;
FIG. 4 is a schematic of the performance of the present invention;
fig. 5 is a graph of D2D user and communication rate versus quality of service requirements for a cellular user.
Detailed Description
The invention provides a distributed algorithm for uplink multi-channel cellular users, which can be applied to cellular users with power limit and independent power limit, and rapidly and distributively optimizes the transmitting power q of a base station and the transmitting power p of a D2D user under the conditions that the D2D user has the power limit and the independent power limit and the cellular users have QoS limit, wherein the spectrum efficiency optimization problem of the D2D user is a complex non-convex non-linear optimization problem. The transmitting power obtained by the method can maximize the spectrum efficiency of all D2D users, namely the sum communication rate, under the condition of ensuring the communication rate of the cellular users. The present invention will be further described below.
Setting a cellular system to have K cellular users and N pairs of D2D users, wherein the K cellular users correspond to K cellular frequency bands, and the K cellular users correspond to a cellular frequency band K; the channel parameters, and the interference parameters are described as follows:
the channel gain on the carrier k from the transmitting end of the ith D2D user pair to the base station, and the cellular user occupying the carrier k is also marked as k;
the channel gain of the kth cellular user to the base station through the carrier k;
the channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith user pair;
the channel gain of the kth cellular user reaching the receiving end of the ith D2D user pair through the carrier k;
the noise power received on the carrier k by the receiving end of the ith D2D user pair;
the noise power received by the base station on carrier k.
The following parameters are further defined:
q denotes the transmit power vector of the cellular user, q ═ q1,q2,…,qk,…,qK]，qkRepresents the transmit power of cellular user k;
p represents the D2D user transmit power matrix, p ═ p11,…,p1K；p21,…,p2K；…；pN1,…,pNK]，pikRepresenting the transmit power of D2D user i on cellular band k.
ρkRepresents the quality of service requirement, i.e. the minimum transmission rate, of cellular user k;
represents the maximum transmission power of the transmission end of the ith D2D user pair on the carrier k;
represents the ith D2D device transmit end maximum and power limits;
represents the maximum transmit power limit for the kth cellular user;
among the above-mentioned parameters,the channel monitoring of the base station can be obtained;the data can be acquired by the receiving end of the D2D user pair through channel monitoring and transmitted to the base station according to the requirement. RhokMay be given by the base station or base stations,is the physical attribute of the D2D user to the i transmitting end,is the physical attribute of cellular user k and may be interacted with to the base station as needed.
As shown in fig. 1, the transmit power q of a cellular user kkThe communication rate of cellular user k is noted asThe communication rate of D2D user i on cellular band k is notedWherein,
in this system, our optimization objective is to maximize the sum communication rate of all D2D users, i.e., to maximize the sum communication rateSince there are multiple users in a cellular network, minimum quality of service requirements are considered for each cellular userFor the uplink, the maximum transmit power limit for cellular user k isThe maximum transmit power of D2D user i on cellular band k is limited toThe sum power of the D2D user to the i transmitting end is limited to
In this embodiment, let the cell radius be 500m, the bandwidth of the cellular band be 1MHz, 4 cellular users, and 2 pairs of D2D users. The D2D receivers are randomly distributed in a range within 20m from the D2D transmitter, the maximum transmitting power of an uplink cellular user is 30dBm, the power limit of the transmitting end of the D2D user is set to be 20dBm, the sum power limit of the D2D is set to be 25dBm, the Gaussian white noise power spectral density is-174 dBm, and the exponential channel fading index is 3.5. As shown in fig. 2, cellular users and D2D users are randomly distributed in a cell.
For the uplink case shown in fig. 1, we obtain the transmission power q of the cellular users and the transmission power p of the D2D users in the following manner, and obtain the sum communication rate of all the corresponding D2D users
As shown in fig. 3, a power allocation method for maximizing spectral efficiency in D2D communication disclosed in the embodiment of the present invention includes the following steps:
step 1, the base station sets an initial transmitting power matrix z ∈ R of D2D communication equipmentN×KN, K are D2D user pair total and total number of available carriers, respectively, set precision ∈1＝10-3And the number of iterations r is 0.
Step 2: according to the formula
Calculating equivalent channel gainAnd equivalent noiseIn the formulaρkIs the quality of service limit for the kth cellular user. WhileIs the channel gain on carrier k from the transmitting end of the ith D2D user pair to the base station,is the channel gain for the k-th cellular user to reach the base station over carrier k,is the channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith user pair,is the channel gain of the kth cellular user to the receiving end of the ith D2D user pair via carrier k;is the noise power received on carrier k at the receiving end of the ith D2D user pair,is the noise power received by the base station on carrier k.
And step 3: calculating an approximation coefficient matrix a, b according to z, and broadcasting a, b,Wherein a, b ∈ RN×KAnd is
Step 4, D2D user starts to calculate respective transmitting power after receiving the information broadcasted by the base station, and sets accuracy ∈2＝10-4Initializing Lagrange multiplier lambda when the inner layer iteration number n is equal to 00＝0(λ∈RN)，μ0＝0(μ∈RK)。λn，μnRespectively, the values of the lagrange multipliers λ and μ at the nth iteration of the inner layer.
And 5: according to the formula
The transmit power of the D2D communication device is calculated. WhereinRepresents the maximum transmit power on carrier k at the transmitting end of the ith D2D user pair,representing a number in spaceProjection of (2).Respectively represent lambdan，μnThe ith, k component of (a).
Step 6: n ← n +1, updating the values of λ and μ as follows
Wherein, αn2/(n +1) is the step size of the nth iteration,is the ith D2D device transmit end maximum and power limit,is the maximum transmit power limit for the kth cellular user. [.]+Representing a projection onto a positive real space.
And 7: if ([ lambda ])n,μn)-(λn-1,μn-1)|<∈1And feeding back the transmission power information to the base station to step 8, otherwise, turning to step 5.
And 8: the base station judges after receiving the power information fed back by all D2D users, if | p-z>∈2Then, let z ═ p, r ← r +1, go to step 3; otherwise, outputting the results p and q, wherein q is the transmission power vector of the cellular user, qkRepresents the transmission power of the k-th cellular user, and
the D2D user only needs to calculate own transmitting power, and the transmitting power of the cellular user is calculated by the base stationThe station finally calculates and communicates to the cellular user. For cellular users, according to the formula, ωkIs a constant value;the channel gain of the communication can be measured by the base station through a measuring device of the base station;although seemingly complex, it is seen as noise to the base station and can be measured directly at one time. For the D2D user, the above process shows that a distributed algorithm can be implemented with only a few interactions a, b and a small amount of control information.
As shown in fig. 4, the method provided by the present invention can converge in about 30 steps and has a faster rate.
As shown in fig. 5, the relation between the sum communication rate of the D2D user and the qos requirement of the cellular user by the method provided by the present invention, it can be seen that the sum communication rate of the D2D user is decreasing with the qos requirement of the cellular user increasing. While the total sum rate is also linear with the change in quality of service requirements of the cellular users.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (4)
1. A power allocation method for maximizing spectral efficiency in D2D communication, comprising: the method comprises the following steps:
(1) base station setting initial transmitting power matrix z ∈ R of D2D communication equipmentN×KN, K are the total number of D2D user pairs and the total number of available carriers, respectively;
(2) computing an approximation coefficient matrix a, b from z, where a, b ∈ RN×KAnd is
<mrow> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <msubsup> <mi>g</mi> <mrow> <mi>i</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mover> <mi>&sigma;</mi> <mo>~</mo> </mover> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>+</mo> <msubsup> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mover> <mi>g</mi> <mo>~</mo> </mover> <mrow> <mi>j</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <msub> <mi>z</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <msubsup> <mi>g</mi> <mrow> <mi>i</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> <mo>+</mo> <msub> <mover> <mi>&sigma;</mi> <mo>~</mo> </mover> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>+</mo> <msubsup> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mover> <mi>g</mi> <mo>~</mo> </mover> <mrow> <mi>j</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <msub> <mi>z</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> </msub> </mrow> </mfrac> </mrow>
<mrow> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mo>(</mo> <msub> <mover> <mi>&sigma;</mi> <mo>~</mo> </mover> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>+</mo> <msubsup> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mover> <mi>g</mi> <mo>~</mo> </mover> <mrow> <mi>j</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <msub> <mi>z</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> </msub> <mo>)</mo> <mi>l</mi> <mi>n</mi> <mn>2</mn> </mrow> </mfrac> </mrow>
Wherein,is the channel gain on the kth carrier from the transmitting end of the ith D2D user pair to the receiving end of the ith D2D user pair,is the equivalent channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith D2D user pair,the receiving end of the ith D2D user pair receives the equivalent noise power on the carrier k;
(3) the base station broadcasts the approximation coefficient matrixes a and b and equivalent channel gain and noise to each D2D user pair, each D2D user pair iteratively calculates the transmitting power based on a Lagrange multiplier method under the condition that the sum power does not exceed the maximum limit, and the transmitting power of the transmitting end of the ith D2D user pair on a carrier k is as follows:
<mrow> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>=</mo> <msubsup> <mrow> <mo>&lsqb;</mo> <mfrac> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mrow> <mi>ln</mi> <mn>2</mn> <mrow> <mo>(</mo> <msubsup> <mi>&lambda;</mi> <mi>i</mi> <mi>n</mi> </msubsup> <mo>+</mo> <mfrac> <mrow> <msubsup> <mi>&mu;</mi> <mi>k</mi> <mi>n</mi> </msubsup> <msubsup> <mi>g</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>c</mi> </msubsup> </mrow> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> <mo>-</mo> <msubsup> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <msub> <mover> <mi>g</mi> <mo>~</mo> </mover> <mrow> <mi>i</mi> <mi>j</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&rsqb;</mo> </mrow> <mn>0</mn> <msubsup> <mi>p</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>max</mi> </msubsup> </msubsup> </mrow>
wherein,is the channel gain on carrier k from the transmitting end of the ith D2D user pair to the base station,is the channel gain for the k-th cellular user to reach the base station over carrier k,represents the maximum transmit power on carrier k at the transmitting end of the ith D2D user pair,representing a number in spaceThe projection of the image onto the image plane is performed,respectively represent lambdan，μnThe ith, kComponent, λn，μnRespectively representing the values of Lagrange multipliers lambda and mu in the nth iteration;
(4) and (3) feeding the calculated transmission power back to the base station by each D2D user pair, comparing the obtained transmission power matrix p of the D2D user pair with the matrix z by the base station to judge whether convergence occurs, if convergence does not occur, making z equal to p, turning to the step (2), and if convergence occurs, calculating the transmission power of each cellular user by the base station.
2. The method of claim 1, wherein the power allocation method for maximizing spectral efficiency in D2D communication comprises: equivalent channel gain in step (2)And equivalent noiseCalculated according to the following formula:
<mrow> <msub> <mover> <mi>g</mi> <mo>~</mo> </mover> <mrow> <mi>j</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mfrac> <mrow> <msub> <mi>&omega;</mi> <mi>k</mi> </msub> <msubsup> <mi>g</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>c</mi> </msubsup> <msubsup> <mi>h</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> </mrow> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> <mo>+</mo> <msubsup> <mi>g</mi> <mrow> <mi>j</mi> <mi>i</mi> <mo>,</mo> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> </mrow> </mtd> <mtd> <mrow> <mi>j</mi> <mo>&NotEqual;</mo> <mi>i</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mfrac> <mrow> <msub> <mi>&omega;</mi> <mi>k</mi> </msub> <msubsup> <mi>g</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>c</mi> </msubsup> <msubsup> <mi>h</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> </mrow> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> </mtd> <mtd> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
<mrow> <msub> <mover> <mi>&sigma;</mi> <mo>~</mo> </mover> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>=</mo> <msubsup> <mi>&sigma;</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> <mo>+</mo> <msub> <mi>&omega;</mi> <mi>k</mi> </msub> <msubsup> <mi>&sigma;</mi> <mi>k</mi> <mi>c</mi> </msubsup> <msubsup> <mi>h</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> <mi>d</mi> </msubsup> <mo>/</mo> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mrow>
wherein,ρkis the quality of service limit for the kth cellular user,is the channel gain on the kth carrier from the transmitting end of the jth D2D user pair to the receiving end of the ith user pair,is the channel gain from the kth cellular user over carrier k to the receiving end of the ith D2D user pair;is the noise power received on carrier k at the receiving end of the ith D2D user pair,is the noise power received by the base station on carrier k.
3. The method of claim 1, wherein the power allocation method for maximizing spectral efficiency in D2D communication comprises:
the values of the lagrange multipliers λ and μ in step (3) are updated according to the following formulas:
<mrow> <msubsup> <mi>&lambda;</mi> <mi>i</mi> <mi>n</mi> </msubsup> <mo>=</mo> <msub> <mrow> <mo>&lsqb;</mo> <msubsup> <mi>&lambda;</mi> <mi>i</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>-</mo> <msub> <mi>&alpha;</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <msubsup> <mi>p</mi> <mi>i</mi> <mrow> <mi>s</mi> <mi>u</mi> <mi>m</mi> </mrow> </msubsup> <mo>-</mo> <munderover> <mi>&Sigma;</mi> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>K</mi> </munderover> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> </msub> </mrow>
<mrow> <msubsup> <mi>&mu;</mi> <mi>k</mi> <mi>n</mi> </msubsup> <mo>=</mo> <msub> <mrow> <mo>&lsqb;</mo> <msubsup> <mi>&mu;</mi> <mi>k</mi> <mrow> <mi>n</mi> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mo>-</mo> <msub> <mi>&alpha;</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mfrac> <msubsup> <mi>q</mi> <mi>k</mi> <mi>max</mi> </msubsup> <msub> <mi>&omega;</mi> <mi>k</mi> </msub> </mfrac> <mo>-</mo> <mfrac> <msubsup> <mi>&sigma;</mi> <mi>k</mi> <mi>c</mi> </msubsup> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> <mo>-</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mfrac> <mrow> <msub> <mi>p</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> </msub> <msubsup> <mi>g</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> <mi>c</mi> </msubsup> </mrow> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> <mo>)</mo> </mrow> <mo>&rsqb;</mo> </mrow> <mo>+</mo> </msub> </mrow>
wherein,is the step size of the nth iteration,is the ith D2D device transmit end maximum and power limit,is the maximum transmit power limit for the kth cellular user.]+Representing a projection onto a positive real space,ρkis the quality of service limit for the kth cellular user,is the channel gain on carrier k from the transmitting end of the jth D2D user pair to the base station,is the noise power received by the base station on carrier k.
4. The method of claim 1, wherein the power allocation method for maximizing spectral efficiency in D2D communication comprises: the transmission power of the kth cellular user in the step (4) is calculated according to the following formula:
<mrow> <msub> <mi>q</mi> <mi>k</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>&sigma;</mi> <mi>k</mi> <mi>c</mi> </msubsup> <mo>+</mo> <msubsup> <mi>&Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </msubsup> <msub> <mi>p</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> </msub> <msubsup> <mi>g</mi> <mrow> <mi>j</mi> <mi>k</mi> </mrow> <mi>c</mi> </msubsup> </mrow> <msubsup> <mi>h</mi> <mi>k</mi> <mi>c</mi> </msubsup> </mfrac> <msub> <mi>&omega;</mi> <mi>k</mi> </msub> </mrow>
wherein p isjkIs the transmit power on carrier k of the transmit end of the jth D2D user pair,is the channel gain on carrier k from the transmitting end of the jth D2D user pair to the base station,is the noise power received by the base station on carrier k, ρkis the quality of service limit for the kth cellular user.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710358065.7A CN107249213B (en) | 2017-05-19 | 2017-05-19 | A kind of maximized power distribution method of D2D communication Intermediate Frequency spectrum efficiency |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710358065.7A CN107249213B (en) | 2017-05-19 | 2017-05-19 | A kind of maximized power distribution method of D2D communication Intermediate Frequency spectrum efficiency |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107249213A true CN107249213A (en) | 2017-10-13 |
| CN107249213B CN107249213B (en) | 2019-09-10 |
Family
ID=60017149
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710358065.7A Active CN107249213B (en) | 2017-05-19 | 2017-05-19 | A kind of maximized power distribution method of D2D communication Intermediate Frequency spectrum efficiency |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107249213B (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108777855A (en) * | 2017-11-28 | 2018-11-09 | 深圳大学 | Power distribution method, device and computer readable storage medium applied to DAS |
| CN114125787A (en) * | 2022-01-25 | 2022-03-01 | 南京邮电大学 | D2D communication rate symmetric access and power optimization method and system |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105075371A (en) * | 2012-12-31 | 2015-11-18 | 日电（中国）有限公司 | A method and apparatus of resource sharing for device-to-device and cellular communications |
| CN105472751A (en) * | 2015-12-24 | 2016-04-06 | 山东大学 | Method for allocating joint resources of D2D communication system based on cellular network |
| CN105813189A (en) * | 2016-03-07 | 2016-07-27 | 东南大学 | D2D distributed power optimization method in cellular network |
-
2017
- 2017-05-19 CN CN201710358065.7A patent/CN107249213B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105075371A (en) * | 2012-12-31 | 2015-11-18 | 日电（中国）有限公司 | A method and apparatus of resource sharing for device-to-device and cellular communications |
| CN105472751A (en) * | 2015-12-24 | 2016-04-06 | 山东大学 | Method for allocating joint resources of D2D communication system based on cellular network |
| CN105813189A (en) * | 2016-03-07 | 2016-07-27 | 东南大学 | D2D distributed power optimization method in cellular network |
Non-Patent Citations (1)
| Title |
|---|
| ZHENYU ZHOU, MIANXIONG DONG, ZHENG CHANG, AND BO GU: "Combined Centralized and Distributed Resource Allocation for Green D2D Communications", 《2015 IEEE/CIC INTERNATIONAL CONFERENCE ON COMMUNICATIONS IN CHINA (ICCC)》 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108777855A (en) * | 2017-11-28 | 2018-11-09 | 深圳大学 | Power distribution method, device and computer readable storage medium applied to DAS |
| CN108777855B (en) * | 2017-11-28 | 2020-12-25 | 深圳市广汇通智能科技有限公司 | Power distribution method and device applied to DAS and computer readable storage medium |
| CN114125787A (en) * | 2022-01-25 | 2022-03-01 | 南京邮电大学 | D2D communication rate symmetric access and power optimization method and system |
Also Published As
| Publication number | Publication date |
|---|---|
| CN107249213B (en) | 2019-09-10 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Ng et al. | Secure and green SWIPT in distributed antenna networks with limited backhaul capacity | |
| Park et al. | Tractable resource management with uplink decoupled millimeter-wave overlay in ultra-dense cellular networks | |
| Zhou et al. | Edge caching in multi-UAV-enabled radio access networks: 3D modeling and spectral efficiency optimization | |
| Wu et al. | Joint resource allocation and power control for cellular and device‐to‐device multicast based on cognitive radio | |
| CN103856947B (en) | The disturbance coordination method that a kind of combined channel selects and power controls | |
| Song et al. | Probabilistic caching for small-cell networks with terrestrial and aerial users | |
| Matalatala et al. | Performance Evaluation of 5G Millimeter‐Wave Cellular Access Networks Using a Capacity‐Based Network Deployment Tool | |
| CN105813189B (en) | A kind of D2D distributed power optimization method in Cellular Networks | |
| CN110602722B (en) | Design method for joint content pushing and transmission based on NOMA | |
| Shao et al. | Joint optimization of quality of experience and power consumption in OFDMA multicell networks | |
| Ouamri et al. | Double deep q-network method for energy efficiency and throughput in a uav-assisted terrestrial network | |
| Esmat et al. | Joint channel selection and optimal power allocation for multi‐cell D2D communications underlaying cellular networks | |
| CN107249213B (en) | A kind of maximized power distribution method of D2D communication Intermediate Frequency spectrum efficiency | |
| Nguyen et al. | Optimization of resource allocation for underlay device-to-device communications in cellular networks | |
| KR102012250B1 (en) | Method and apparatus of beamforming through one-way cooperative channel | |
| CN107249212B (en) | The maximized power distribution method of efficiency in a kind of D2D communication | |
| Yadav et al. | Two-way communications empowered by reconfigurable intelligent surfaces and direct link: Outage analysis under hardware impairments and Nakagami-m fading | |
| CN106102173A (en) | Wireless backhaul based on multicast beam shaping and base station sub-clustering combined optimization method | |
| Li et al. | Energy efficient power allocation for co-located antenna systems with D2D communication | |
| Ferreira et al. | Power and delay optimization based uplink resource allocation for wireless networks with device-to-device communications | |
| Polus et al. | Capacity Analysis of UAV-to-Ground Channels With Shadowing: Power Adaptation Schemes and Effective Capacity | |
| Wang et al. | Joint optimization for traffic-offloading and resource-allocation over RF-powered backscatter mobile wireless networks | |
| Ting et al. | Analysis of quality‐of‐service aware orthogonal frequency division multiple access system considering energy efficiency | |
| Do et al. | New look on device to device NOMA systems: With and without wireless power transfer modes | |
| Zhou et al. | Max–min fairness driven multicast sparse beamforming for cache-enabled Cloud RAN |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |