CN109194371A - A kind of low complex degree power distribution method of the DISTRIBUTED MIS O system based on beam forming - Google Patents

A kind of low complex degree power distribution method of the DISTRIBUTED MIS O system based on beam forming Download PDF

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CN109194371A
CN109194371A CN201710530255.2A CN201710530255A CN109194371A CN 109194371 A CN109194371 A CN 109194371A CN 201710530255 A CN201710530255 A CN 201710530255A CN 109194371 A CN109194371 A CN 109194371A
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beam forming
optimal
distributed
power distribution
mis
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CN109194371B (en
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虞湘宾
储君雅
潘青
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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

Abstract

The invention discloses the low complex degree power distribution methods based on beam forming in a kind of distributed multiple input single output (MISO) system.Energy efficiency is optimization aim, each remote antenna unit power distribution and beam forming vector to the present invention in MISO system in a distributed manner is Optimal Parameters building system optimization model.The form of Optimized model optimal solution is obtained according to KKT condition in conjunction with the optimal beam forming arrangements that high specific transmits;Optimal power allocation is acquired using lambert's function and dichotomy, so that distributing antenna system energy efficiency realizes maximum.The present invention optimizes DISTRIBUTED MIS O system based on the efficiency power distribution of beam forming, and considers influence of the large-scale fading to channel in practice.Designed method is simple and effective, is reducing computation complexity simultaneously, can get and the consistent performance efficiency of existing method.

Description

A kind of low complex degree power distribution method of the DISTRIBUTED MIS O system based on beam forming
Technical field
The invention belongs to mobile communication fields, are related to the resource allocation methods of mobile communication, more more particularly to distribution Low complex degree efficiency power distribution algorithm in antenna system based on beam forming.
Background technique
With the growth of portfolio and the continuous dilatation of network, the huge energy consumption of cordless communication network and its environment of generation Problem has become the focus of communication, in today that resource is increasingly in short supply, how energy-saving and emission-reduction, reduce energy consumption and ground as communication industry The hot spot studied carefully.When in order to which the green ideas such as Harmonizing with Environment and sustainable development being dissolved into communication, " green communications " Concept be born therewith.Green communications purport is more effectively to utilize system resource to reduce system energy consumption.Traditional communication skill Art is mainly focused on the spectrum efficiency (SE, Spectral Efficiency) of raising system, for from the aspect of energy conservation compared with It is few, but excessively consider spectrum efficiency often using huge energy consumption as cost.5th third-generation mobile communication (5G) is in addition to biography Unite performance indicator, such as transmission rate, spectrum efficiency claim outer, will also reduce energy consumption for the first time, improve energy efficiency (EE, Energy Efficiency) it is used as specific R&D target.
Distributing antenna system (DAS, Distributed Antenna System) with its large coverage, less cut It changes, reduce and send power, the technology that the advantages that bigger diversity gain has become the great development prospect of future wireless system is provided One of.Different from traditional centralized antenna system, if dry aerial distribution is placed on cell not by distributing antenna system With on geographical location, each antenna is connected by optical fiber, coaxial cable or Radio Link with the central processing unit of cell.Due to being There are more spatially separated antennas in system, caused by distributing antenna system can overcome large-scale fading and shadow fading Channel path loss improves power system capacity, promotes order of diversity, solves the communication dead angle in cell, improves telecommunication service quality.With Traditional distributing antenna system is compared, and each remote antenna unit of distributed multiple input single output (MISO) system is furnished with more Antenna enables the system to obtain space diversity gain simultaneously, further improves the performance of distributing antenna system.Wave beam at Shape technology is that transmitting terminal first weights data and retransmits, and narrow launching beam is formed, by energy alignment target user, to improve The demodulation signal-to-noise ratio of target user, this is especially effective to Cell Edge User throughput is improved.Beam forming technique can obtain Array gain, diversity gain and spatial multiplexing gain.
Existing literature (H.Kim, E.-S.Park, H.-W.Park.I.Lee, " Beamforming and power allocation designs for efficiency maximization in MISO distributed antenna Systems, " IEEE Commun.Letters., vol.17, NO.11, pp.2100-2103, November.2013.) to point Cloth MISO system is studied based on the energy efficiency of beam forming, and gives the maximized resource allocation algorithm of efficiency. But shadow fading is not considered in the document, algorithm needs lambert's function using more number, there is very high computation complexity, And the calculation formula provided in document is inaccurate and (only sets up when remote antenna unit number is 2).Currently, a kind of low not yet The algorithm of complexity solves a kind of energy efficiency maximized power distribution problems of the DISTRIBUTED MIS O system based on beam forming.
Summary of the invention
Goal of the invention: in order to overcome the deficiencies in the prior art, the present invention proposes a kind of DISTRIBUTED MIS O system base It is solved while maximum energy efficiency, reducing calculating method complexity in the low complex degree power distribution method of beam forming Power distribution problems of the DISTRIBUTED MIS O system based on beam forming.
Technical solution: to achieve the goals above, a kind of the technical solution adopted by the present invention are as follows: DISTRIBUTED MIS O system base In the power distribution method of beam forming, the DISTRIBUTED MIS O system includes N number of remote antenna unit, each remote antenna list Member has L root antenna, and each remote antenna unit is interacted with central processing unit respectively;Method includes the following steps:
(1) the power distribution p of each remote antenna unit of MISO system in a distributed manneriWith beam forming vector wiFor optimization Variable constructs Optimized model, optimization problem in the Optimized model are as follows:Constraint condition are as follows: 0≤pi≤ Pmax, | | wi||2=1, i=1 ... N;Wherein, piAnd wiRespectively indicate i-th of remote antenna unit RAUiTransimission power and wave Beam shaping column vector;PmaxIndicate the maximum transmission power of each remote antenna unit, ηEE(pi, wi) it is DISTRIBUTED MIS O system In the power distribution p of each remote antenna unitiWith beam forming vector wiUnder energy efficiency.
(2) for DISTRIBUTED MIS O system, the optimal beam forming arrangements for maximizing EE are distributed high specific transmission (D-MRT), wiIt can decide, then restructural optimization problem:Constraint condition are as follows: 0≤pi≤Pmax, i= 1 ..., N.
(3) without loss of generality, it is assumed that γ1> γ2> ... > γN, whereinSiIt is right Number shadow fading;For RAUiIt is lost to the road strength between user, wherein diFor RAUiTo the distance of user, α is that strength loss in road refers to Number;hiFor multipath fading channel vector.Lagrangian is constructed to the Optimized model after step (2) conversion, according to KKT Condition, available optimal power allocation solution have following form:
Wherein,When indicating to maximize EETransmission power.It is noted herein that working as N0When=1,Work as N0When >=2,
(4) form of the optimal power allocation solution gone out according to given in step (3), constructs following piecewise function:
WhereinBy theory analysis, it is known that the segmentation Function is convex function, only an optimal solution.
(5) according to V 'j(pj) symbol determine N0, work as N0When=1, it can be found out according to lambert's function Wherein
Work as N0When >=2, using dichotomy in sectionUpper solution
The utility model has the advantages that compared with prior art, the invention has the following advantages that
It constructs and the practical mixed channel comprising path loss, shadow fading and small scale Rayleigh fading more met Model reconfigures piecewise function and obtains all remote antennas most by way of KKT condition obtains optimal power allocation solution Excellent transmission power, so that the energy efficiency of DISTRIBUTED MIS O system is maximum.This method calculation process is simple, at most only uses Lambert's function or dichotomy, greatly reduce Time & Space Complexity compared with the conventional method, and can get identical EE performance.
Detailed description of the invention
Fig. 1 is the flow chart of the embodiment of the present invention;
Fig. 2 is DISTRIBUTED MIS O system schematic in the embodiment of the present invention;
Fig. 3 is figure compared with the optimum results of the embodiment of the present invention modify the optimum results of front and back with existing method.
Fig. 4 is figure compared with existing method is in the optimum results under different transmission antenna number L of the embodiment of the present invention.
Table 1 compares for the complexity of the embodiment of the present invention and existing method.
Specific embodiment
The present invention will be further explained with reference to the accompanying drawing.
One, DISTRIBUTED MIS O system model:
The illustraton of model of DISTRIBUTED MIS O system, the DISTRIBUTED MIS O system packet in the embodiment of the present invention as shown in Fig. 2 It includes N and is scattered the remote antenna unit in cell, be denoted as RAUn(n=1,2 ..., N), each remote antenna unit is matched Standby L root antenna, and central processing unit is connected to by specific transmission channel.It is size-constrained in view of mobile station in practice, therefore only examine It is considered with single antenna.DefinitionFor RAUiTo the channel vector of mobile station, wherein diFor RAUiTo mobile station Distance, α is path loss index, SiFor RAUiTo the shadow fading of mobile station, hiFor RAUiTo the multipath fading of mobile station Vector;Define wiFor RAUiBeam forming column vector, and | | wi||2=1.
Two, the energy efficiency of DISTRIBUTED MIS O system:
The DISTRIBUTED MIS O system message transmission rate that mobile station obtains after beam forming is added are as follows:
Wherein piIndicate RAUiTransmission power,Indicate giConjugate transposition,For multiple additive white Gaussian noise power.
Energy efficiency of the DISTRIBUTED MIS O system after beam forming is added can be calculated are as follows:Its Middle pcPower is consumed for circuit system.
Three, the power distribution method that the DISTRIBUTED MIS O system proposed is optimized based on the energy efficiency of beam forming
DISTRIBUTED MIS O system EE maximizes majorized function is defined as:
s.t.0≤pi≤Pmax, | | wi||2=1,For given pi, maximize the optimal of EE Beam forming solution is equivalent to maximize the solution of SE, and in single user MISO system, to arbitrarily given piMaximize SE Optimal beam forming arrangements be distributed high specific transmission, i.e., Therefore reconstruction and optimization function are as follows:
Wherein Since the problem is Non-Linear Programming Problem, direct solution are highly difficult.Thus without loss of generality, it is assumed that γ1> γ2> ... > γN, to the majorized function structure after reconstruct Suzanne Lenglen day function is made, the form of optimal power allocation solution is obtained using KKT condition:
WhereinWhen indicating to maximize EETransmission power.Here it should be noted that N0When=1, Work as N0When >=2,Based on this, optimization problem can be converted into the optimal solution for seeking following piecewise function:
Wherein,By to Vj(pj) derivation analysis, it can Know that the piecewise function is convex function, only an optimal solution.As V 'j(Pmax) > 0 when,WhenOn haveIn the presence of,Unique solution
It therefore can be according to V 'j(pj) symbol determine N0, work as N0When=1, closed solutions can be acquired by lambert's function:Wherein
Work as N0When >=2, using dichotomy in sectionUpper solutionAccording to optimal power allocation solution Form can obtain the transmission power of all RAUs when maximizing EE.
Specific power distribution method is shown below:
(a) n=1 is initialized;By γiDescending arrangement, i.e. γ1> γ2> ... > γN
(b) judge whether n meets n≤N, if the determination result is YES, calculate V 'n(Pmax), it enters step (c);Otherwise, into Enter step (e);
(c) judge V 'n(Pmax) whether meet V 'n(Pmax)≤0;If the determination result is YES, then N is enabled0=n, enters step (d);Otherwise,N=n+1, return step (b);
(d) judge N0Whether it is equal to 1, if the determination result is YES, is then calculated using lambert's functionOtherwise, two points are utilized Method is in sectionUpper solutionIt enters step (e);
(e) the transmission power and maximum power efficiency η of all RAUs are obtainedEE
The DISTRIBUTED MIS O system energy that the technical solution provided through this embodiment is obtained using Matlab emulation platform Amount efficiency maximum value is compared with the energy efficiency maximum value of existing method, to verify effectiveness of the invention.
Attached drawing 3 give the present invention with existing method before a modification after optimum results comparison diagram.The wherein representative of method 1 is adopted With the experimental result of the mentioned technical solution of the present embodiment, method 2 represents the experimental result of existing method.Simulation result shows existing The given formula of method is not very accurate (only setting up when remote antenna unit is 2), and the mentioned method of the present invention can with it is existing Method obtains completely the same EE performance after modifying formula, while reducing the huge calculation amount of existing method.Attached drawing 4 provides The system EE Performance Evaluation after beam forming under different transmission antenna number L is added in DISTRIBUTED MIS O system.It can from attached drawing 4 Out, system EE performance is promoted with the increase of antenna amount L, is increased this is because the increase of L brings bigger space diversity Benefit, to improve system EE performance.Subordinate list 1 gives the proposed technical solution of the present embodiment and existing method in time and space On complexity compare, it can be seen that be only 1/10th of existing method the time required to the mentioned method of the present invention, and it is most only Using lambert's function, and existing method is needed using n times, so the complexity of the mentioned method of the present invention will be well below existing There is method.
Table 1
Method 1 Method 2
Runing time/second 106.396820 1165.912855
Lambert's function access times ≤1 Nt
In conclusion technical solution proposed by the present invention can not only obtain and the consistent EE performance of existing method, Er Qiefang Method is simple, greatly reduces Time & Space Complexity, this sufficiently demonstrates a kind of DISTRIBUTED MIS O system proposed by the present invention The validity of power distribution method based on beam forming.
The above is only a preferred embodiment of the present invention, it should be pointed out that: for the ordinary skill people of the art For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered It is considered as protection scope of the present invention.

Claims (2)

1. a kind of low complex degree power distribution method of distribution multiple input single output (MISO) system based on beam forming, special Sign is that the DISTRIBUTED MIS O system includes N number of remote antenna unit, and each remote antenna unit has L root antenna, each remote Journey antenna element is connected with central processing unit respectively;Method includes the following steps:
Step 1) in a distributed manner in MISO system each remote antenna unit transmission power piWith beam forming vector wiBecome for optimization Amount constructs Optimized model, and optimization problem is in the Optimized modelConstraint condition are as follows: 0≤pi≤Pmax, ||wi||2=1, i=1 ... N;Wherein, piAnd wiRespectively indicate i-th of remote antenna unit (RAUi) transmission power and wave beam Shape column vector;PmaxIndicate PAUiMaximum transmission power;ηEE(pi, wi) indicate DISTRIBUTED MIS O system in each remote antenna list The transmission power p of memberiWith beam forming vector wiUnder energy efficiency;
Step 2) provides the optimal beam forming arrangements for maximizing EE for DISTRIBUTED MIS O system, rebuilds optimization problem:Constraint condition are as follows: 0≤pi≤Pmax, i=1 ..., N;
Step 3) is by γiIt arranges in descending order, whereinFor interchannel noise ratio, SiFor logarithm shade Decline;For RAUiTo the road strength loss between user, wherein α is road strength loss index, hiFor multipath fading channel vector;It is right Optimized model after step (2) conversion constructs Lagrangian, thus utilizes KKT condition, can get optimal power allocation solution General type;
The form for the optimal power allocation solution that step 4) goes out according to given in step (3), structural segmentation function;The piecewise function is Convex function, therefore an only optimal solution;
Step 5) utilizes lambert's function or dichotomy solution procedure 4) in piecewise function optimal solution, so as to be owned The optimal power allocation and maximum power efficiency of RAUs.
2. low complex degree power distribution side of a kind of DISTRIBUTED MIS O system based on beam forming according to claim 1 Method, it is characterised in that:
(1) according to the calculation method of DISTRIBUTED MIS O system energy efficiency in the step 1), to calculate DISTRIBUTED MIS O system It is added after beam forming in the ratio between the message transmission rate of mobile station acquisition and total consumed power;
(2) it according to the optimal beam forming arrangements of maximum energy efficiency in the step 2), i.e., is passed using distributed high specific It is defeated, to can determine wi
(3) according to the form of optimal power allocation solution in the step 3) are as follows:
Wherein,When indicating maximum energy efficiencyTransmission power.It is noted herein that working as N0When=1,Work as N0When >=2,
(4) according to the form structural segmentation function in the step 4) according to optimal power allocation solution:
Wherein
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Cited By (1)

* Cited by examiner, † Cited by third party
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CN104039004A (en) * 2014-06-09 2014-09-10 东南大学 Method for heterogeneous user pilot frequency power optimal distribution in large-scale multi-input multi-output system

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CN111698770A (en) * 2019-03-14 2020-09-22 南京航空航天大学 Energy efficiency resource allocation method based on wireless energy-carrying communication in distributed antenna system

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