CN105916156A - Hybrid base station-based communication system throughput maximizing method - Google Patents

Hybrid base station-based communication system throughput maximizing method Download PDF

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CN105916156A
CN105916156A CN201610217311.2A CN201610217311A CN105916156A CN 105916156 A CN105916156 A CN 105916156A CN 201610217311 A CN201610217311 A CN 201610217311A CN 105916156 A CN105916156 A CN 105916156A
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base station
hybrid base
user node
node
information
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CN105916156B (en
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钟财军
梁晗
张朝阳
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Zhejiang University ZJU
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/18Network planning tools
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/24Cell structures
    • H04W16/28Cell structures using beam steering
    • 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 relates to a hybrid base station-based communication system throughput maximizing method which comprises the following steps: channel state information is obtained via a hybrid base station; after the channel state information is obtained via the hybrid base station, an optimal wave beam forming device and time allocation parameters are calculated based on system throughput maximization; based on the optimal wave beam forming device, the hybrid base station transmits energy inward to user nodes and relay nodes; after an energy transmission phase ends, collected energy is used via the user nodes to send information to the relay nodes and the hybrid base station; after the relay nodes receive information of the user nodes, the collected energy is used, and an amplifying and forwarding protocol is adopted to assist in forwarding information of the user nodes; after the hybrid base station receives information of the user nodes and the relay nodes, information of the user nodes is processed and detected. According to the method, the time allocation parameters and the wave beam forming device are adjusted in real time, the system throughput is enabled to gradually reach a theoretically maximum system throughput, and energy efficiency of a system can be greatly improved.

Description

A kind of method maximizing communication system throughput based on hybrid base station
Technical field
The present invention relates to the communications field, be specifically related to a kind of side maximizing communication system throughput based on hybrid base station Method.
Background technology
Extensive along with intelligent wireless terminals such as smart mobile phone, panel computer, laptop computer, Intelligent bracelet is popularized, as What solves the constraint of smart machine bottleneck in cruising time has become a key issue urgently to be resolved hurrily.In recent years, along with wireless The continuous maturation of energy transmission technology, utilizing radio-frequency wireless energy capture technique (RF-EH) is that communication equipment energy supply has become as May.
Wireless energy transfer and wireless information transfer are combined, builds an efficient energy and information transmission Integrated network causes to be paid close attention to widely.Academia proposes a kind of hybrid base station model, and in the model, first base station is made There is provided energy for energy source for the communication node in community, after communication node collects enough energy, then send to base station Information.But, the path loss faced due to wireless energy transfer, the efficiency of wireless energy transfer becomes actual system design One bottleneck.Multi-antenna technology and relaying technique is utilized to promote wireless energy transmission efficiency in consideration of it, research worker proposes Basic ideas.
At present, correlational study work is still in the starting stage, and is also not based on hybrid base station in prior art The technology of bigization communication system throughput.
Summary of the invention
Present invention aims to the deficiencies in the prior art, it is provided that a kind of based on hybrid base station maximization communication system The method of system handling capacity.
For solving above-mentioned technical problem, technical scheme provided by the present invention is:
A kind of method maximizing communication system throughput based on hybrid base station, described communication system includes that user saves Point, via node and the hybrid base station being provided with beamformer;Described hybrid base station configures many antennas, user node Single antenna is configured with via node;Specifically include following steps:
1) hybrid base station obtains channel condition information;
2) hybrid base station maximizes based on throughput of system after obtaining channel condition information and calculates optimum beam figuration Device w and time allocation of parameters τ;
3) energy is transmitted to user node and via node based on optimum beam figuration device w in front τ T time in hybrid base station Amount, wherein T is channel coherency time, 0 < τ < 1;
4) energy transmission is after the stage terminates, and in rear (1-τ) T time, user node utilizes the energy collected to relaying Node and hybrid base station send information;Via node, after receiving the information of user node, utilizes the energy collected, and uses Amplification forwarding agreement assists to forward the information of user node;
5) hybrid base station is after receiving the information of user node and via node, by processing the letter of detection user node Breath.
Described step 1) in channel condition information include:
1a) hybrid base station is by intercepting the pilot tone of user node and via node, estimates hybrid base station with corresponding User node and via node between channel condition information;
1b) hybrid base station obtains the channel status letter between user node and via node by via node feedback Breath.
Described step 2) in maximize based on throughput of system and to calculate optimum beam figuration device w and time allocation of parameters τ Refer to:
Setting up the combined optimization problem of beamformer w and time allocation of parameters τ, its object function is with constraints respectively For:
max τ , w 1 - τ 2 log 2 { 1 + 2 ητP s | h 1 T w | 2 || h 1 || 2 ( 1 - τ ) d 1 2 α N 0 + 4 η 2 τ 2 P s 2 | h 1 T w | 2 | h 2 T w | 2 | h 3 | 2 || h 2 || 2 ( 1 - τ ) 2 d 1 α d 2 2 α d 3 α N 0 2 2 ητP s | h 1 T w | 2 | h 3 | 2 ( 1 - τ ) d 1 α d 3 α N 0 + 2 ητP s | h 2 T w | 2 || h 2 || 2 ( 1 - τ ) d 2 2 α N 0 + 1 } ,
S.t 0 < τ < 1, | | w | |2≤1;
Wherein, η represents energy utilization efficiency;PsRepresent the transmitting power of hybrid base station;N0Represent noise power;W represents Beamformer;h1、h2, and h3Represent user node and hybrid base station, via node and hybrid base station and user respectively Channel condition information between node and via node;d1、d2、d3Represent user node and hybrid base station, via node respectively And the distance between hybrid base station and user node and via node;α represents path fading index;| | represent to measuring Mould;| | | | represent to measuring 2-norm.
What the described combined optimization problem setting up beamformer w and time allocation of parameters τ approximated is decomposed into two lists The optimization problem of variable, including: beamformer w is individually optimized problem and time allocation of parameters τ is individually carried out excellent Change problem.
Described beamformer w is individually optimized problem can be approximately:
max w { 2 ηP s | h 1 T w | 2 || h 1 || 2 d 1 2 α N 0 + min { 2 ηP s | h 1 T w | 2 | h 3 | 2 d 1 α d 3 α N 0 + 2 ηP s | h 2 T w | 2 || h 2 || 2 d 2 2 α N 0 } } ,
s.t ||w||2≤ 1,
Wherein,WithRepresent vector respectivelyWithMould, | h3| represent plural number h3Mould, | | h1| | and ||h2| | represent vector h respectively1And h22-norm, T represents transposition;
The optimum beam figuration device w of gained is:
w o p t = x Π h 1 * h 2 * || Π h 1 h 2 || + 1 - x 2 Π h 1 * ⊥ h 2 * || Π h 1 ⊥ h 2 || ,
Wherein,Represent vectorAt vectorOn projection,Represent vector h2At vector h1On projection,Represent vectorAt vectorVertical space on projection,Represent vector h2At vector h1Vertical space on Projection, * represents conjugation;
Work as Aa2+D(b2-c2During)=0:
x = 1 Aa 2 + Ca 2 &le; Dc 2 , c D ( a C - b D ) 2 + Dc 2 Dc 2 < Aa 2 + Ca 2 < 2 ( b c + c 2 ) D , x = 1 2 Aa 2 + Ca 2 &GreaterEqual; 2 ( b c + c 2 ) D .
Wherein
Work as Aa2+D(b2-c2) > 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a D - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 1 ( k ) 1 2 + k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 1 ( k )
Wherein
Work as Aa2+D(b2-c2) < 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a D - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 2 ( k ) 1 2 - k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 2 ( k ) ,
Wherein
Described time allocation of parameters τ is individually optimized problem it is: beamformer w is completed the basis that optimizes On, then reach maximum based on throughput of system time allocation of parameters τ is carried out single optimization, the near optimal time distribution of gained Parameter τ is:
&tau; ^ = e W ( A 0 - 1 e ) + 1 - 1 A 0 - 1 + e W ( A 0 - 1 e ) + 1 ,
WhereinW is Lambert Function.
Described step 5) in by process detection user node information refer to: maximum-ratio combing is passed through in hybrid base station Method receive the information forwarded directly from information and the user node of user node by via node.
Compared with the existing technology, beneficial effects of the present invention is embodied in:
(1) present invention considers the traffic model of hybrid base station, introduces WPCN technology in original classical base station, This model can be widely used in the application scenarios such as mobile phone mobile communication standard, Internet of Things, holds for wireless device terminal Continuous energy supply.
(2) present invention is according to real-time channel condition information, and by optimized algorithm cleverly, having obtained the succinct time divides Join parameter τ, the closed solutions form of beamformer w the two important parameter, compare and obtain the two parameter by traversal search Mode substantially reduce the process time.The shorter process time also enables parameter adjustment frequency effectively promote, by real time Adjustment time allocation of parameters and beamformer so that the asymptotic theoretical maximum throughput of system that reaches of throughput of system, significantly Improve the efficiency of system, meet the theory of green communications.
Accompanying drawing explanation
Fig. 1 is application scenarios schematic diagram of the present invention;
Fig. 2 is the flow chart maximizing communication system throughput based on hybrid base station;
Fig. 3 be the present invention in the case of given different blended well-formed basis station antenna number, use optimum beam of the present invention to compose The throughput of system of shape device and Best Times allocation of parameters scheme with signal to noise ratio change and with use system in the case of general approach The curve of handling capacity contrast.
Detailed description of the invention
Below in conjunction with the drawings and specific embodiments, the present invention will be further described.
As it is shown in figure 1, described communication system includes user node, via node and be provided with the hybrid of beamformer Base station;Described hybrid base station configures many antennas, user node and via node configuration single antenna.
As in figure 2 it is shown, maximize the method for communication system throughput based on hybrid base station to specifically include following steps:
1) hybrid base station obtains channel condition information;
2) hybrid base station maximizes based on throughput of system after obtaining channel condition information and calculates optimum beam figuration Device w and time allocation of parameters τ;
3) energy is transmitted to user node and via node based on optimum beam figuration device w in front τ T time in hybrid base station Amount, wherein T is channel coherency time, 0 < τ < 1;
4) energy transmission is after the stage terminates, and in rear (1-τ) T time, user node utilizes the energy collected to relaying Node and hybrid base station send information;Via node, after receiving the information of user node, utilizes the energy collected, and uses Amplification forwarding agreement assists to forward the information of user node;
5) hybrid base station is after receiving the information of user node and via node, by processing the letter of detection user node Breath.
Described step 1) in channel condition information include:
1a) hybrid base station is by intercepting the pilot tone of user node and via node, estimates hybrid base station with corresponding User node and via node between channel condition information;
1b) hybrid base station obtains the channel status letter between user node and via node by via node feedback Breath.
Described step 2) in maximize based on throughput of system and to calculate optimum beam figuration device w and time allocation of parameters τ Refer to:
Setting up the combined optimization problem of beamformer w and time allocation of parameters τ, its object function is with constraints respectively For:
max &tau; , w 1 - &tau; 2 log 2 { 1 + 2 &eta;&tau;P s | h 1 T w | 2 || h 1 || 2 ( 1 - &tau; ) d 1 2 &alpha; N 0 + 4 &eta; 2 &tau; 2 P s 2 | h 1 T w | 2 | h 2 T w | 2 | h 3 | 2 || h 2 || 2 ( 1 - &tau; ) 2 d 1 &alpha; d 2 2 &alpha; d 3 &alpha; N 0 2 2 &eta;&tau;P s | h 1 T w | 2 | h 3 | 2 ( 1 - &tau; ) d 1 &alpha; d 3 &alpha; N 0 + 2 &eta;&tau;P s | h 2 T w | 2 || h 2 || 2 ( 1 - &tau; ) d 2 2 &alpha; N 0 + 1 } ,
S.t 0 < τ < 1, | | w | |2≤1;
Wherein, η represents energy utilization efficiency;PsRepresent the transmitting power of hybrid base station;N0Represent noise power;W represents Beamformer;h1、h2, and h3Represent user node and hybrid base station, via node and hybrid base station and user respectively Channel condition information between node and via node;d1、d2、d3Represent user node and hybrid base station, via node respectively And the distance between hybrid base station and user node and via node;α represents path fading index;| | represent to measuring Mould;| | | | represent to measuring 2-norm.
What the described combined optimization problem setting up beamformer w and time allocation of parameters τ approximated is decomposed into two lists The optimization problem of variable, including: beamformer w is individually optimized problem and time allocation of parameters τ is individually carried out excellent Change problem.
Described beamformer w is individually optimized problem can be approximately:
max w { 2 &eta;P s | h 1 T w | 2 || h 1 || 2 d 1 2 &alpha; N 0 + min { 2 &eta;P s | h 1 T w | 2 | h 3 | 2 d 1 &alpha; d 3 &alpha; N 0 + 2 &eta;P s | h 2 T w | 2 || h 2 || 2 d 2 2 &alpha; N 0 } } ,
s.t ||w||2≤ 1,
Wherein,WithRepresent vector respectivelyWithMould, | h3| represent plural number h3Mould, | | h1| | and ||h2| | represent vector h respectively1And h22-norm, T represents transposition;
The optimum beam figuration device w of gained is:
w o p t = x &Pi; h 1 * h 2 * || &Pi; h 1 h 2 || + 1 - x 2 &Pi; h 1 * &perp; h 2 * || &Pi; h 1 &perp; h 2 || ,
Wherein,Represent vectorAt vectorOn projection,Represent vector h2At vector h1On projection,Represent vectorAt vectorVertical space on projection,Represent vector h2At vector h1Vertical space on Projection, * represents conjugation;
Work as Aa2+D(b2-c2During)=0:
x = 1 Aa 2 + Ca 2 &le; Dc 2 , c D ( a C - b D ) 2 + Dc 2 Dc 2 < Aa 2 + Ca 2 < 2 ( b c + c 2 ) D , x = 1 2 Aa 2 + Ca 2 &GreaterEqual; 2 ( b c + c 2 ) D .
Wherein
Work as Aa2+D(b2-c2) > 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a D - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 1 ( k ) 1 2 + k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 1 ( k )
Wherein
Work as Aa2+D(b2-c2) < 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a D - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 2 ( k ) 1 2 - k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 2 ( k ) ,
Wherein
Described time allocation of parameters τ is individually optimized problem it is: beamformer w is completed the basis that optimizes On, then reach maximum based on throughput of system time allocation of parameters τ is carried out single optimization, the near optimal time distribution of gained Parameter τ is:
&tau; ^ = e W ( A 0 - 1 e ) + 1 - 1 A 0 - 1 + e W ( A 0 - 1 e ) + 1 ,
WhereinW is Lambert Function.
Described step 5) in by process detection user node information refer to: maximum-ratio combing is passed through in hybrid base station Method receive the information forwarded directly from information and the user node of user node by via node.
Specific embodiment, technology scene is as follows: comprise a user node in system, in an amplification forwarding agreement Continue node and one uses beamformer and can transmit energy and the hybrid base station received and sent messages simultaneously, except mixing Formula base station configures many antennas, and remaining node the most only configures single antenna;In running, system is according to channel condition information Change adjust beamformer w and time allocation of parameters τ in real time, it is assumed that channel coherency time is T, in front τ T time, mixed User node and via node are transmitted energy by box-like base station, and in rear (1-τ) T time, user node is saved by relaying simultaneously The mode of some transmission and directly transmission transmits information to hybrid base station.In the present embodiment, user node and via node will The energy utilization efficiency of the electric energy that electromagnetic wave is converted to storage is 80%, and path loss index is 3, and hybrid base station is saved with user Distance between point and via node is respectively 5 meters, and 3 meters, the distance between user node and via node is 3 meters.
For proving that the optimum beam figuration device performance in the present invention is better than conventional design really, the present embodiment has been used following right Ratio: the general beamformer w method for designing under the extensive antenna conditions of high s/n ratio, i.e.
w = &beta; h 1 * || h 1 || + 1 - &beta; 2 h 2 * || h 2 || ,
&beta; = D || h 2 || 2 C || h 1 || 2 + D || h 2 || 2 A || h 1 || 2 - D || h 2 || 2 < 0 1 A || h 1 || 2 - D || h 2 || 2 &GreaterEqual; 0 ,
Wherein||h1| | and | | h2| | point Biao Shi not represent vector h1And h22-norm, T represents that transposition, * represent that conjugation, η represent energy utilization efficiency, PsRepresent mixing The transmitting power of formula base station, N0Representing noise power, w represents beamformer, h1、h2, and h3Represent that user node is with mixed respectively Channel response between box-like base station, via node and hybrid base station and user node and via node, d1、d2、d3Respectively Represent between user node and hybrid base station, via node and hybrid base station and user node and via node away from From, α represents path fading index.The Basic Design thinking of this beamformer be derived from number of antennas tend to infinite in the case ofOrthogonal property.
Fig. 3 is to use optimum beam figuration device and Best Times allocation of parameters and general beamformer in the present embodiment The graph of a relation changed with signal to noise ratio with the handling capacity of system under fixed allocation ratio.The present embodiment have chosen altogether antenna number respectively Be three kinds of scenes of 5,10,50, as it can be seen, use two kinds of Different Strategies throughput of system along with number of antennas increase and Increase.Found that by contrast the handling capacity using the system of optimum beam figuration device and Best Times allocation of parameters is for using one As the throughput of system of beamformer and set time allocation of parameters be obviously improved, and when signal to noise ratio is higher, antenna When number is more, this gap becomes readily apparent from.Therefore deduce that, use optimum beam figuration device proposed by the invention In performance, the general beamformer of employing and set time distribution ginseng is substantially better than with the scheme of Best Times allocation of parameters The scheme of number.
The foregoing is only the preferred embodiment of the present invention, not in order to limit the present invention, all spirit in the present invention Within principle, any modification, equivalent substitution and improvement etc. made, should be included within the scope of the present invention.

Claims (7)

1. the method maximizing communication system throughput based on hybrid base station, it is characterised in that described communication system Including user node, via node and the hybrid base station being provided with beamformer;Described hybrid base station configures many skies Line, user node and via node configuration single antenna;Specifically include following steps:
1) hybrid base station obtains channel condition information;
2) hybrid base station obtain maximize based on throughput of system after channel condition information calculate optimum beam figuration device w and Time allocation of parameters τ;
3) energy is transmitted to user node and via node based on optimum beam figuration device w in front τ T time in hybrid base station, Wherein T is channel coherency time, 0 < τ < 1;
4) energy transmission is after the stage terminates, and in rear (1-τ) T time, user node utilizes the energy collected to via node Information is sent with hybrid base station;Via node, after receiving the information of user node, utilizes the energy collected, and uses and amplifies Retransmission protocol assists to forward the information of user node;
5) hybrid base station is after receiving the information of user node and via node, by processing the information of detection user node.
The method maximizing communication system throughput based on hybrid base station the most according to claim 1, it is characterised in that Described step 1) in channel condition information include:
1a) hybrid base station is by intercepting the pilot tone of user node and via node, estimates hybrid base station and uses with corresponding Channel condition information between family node and via node;
1b) hybrid base station obtains the channel condition information between user node and via node by via node feedback.
The method maximizing communication system throughput based on hybrid base station the most according to claim 2, it is characterised in that Described step 2) in maximize based on throughput of system and to calculate optimum beam figuration device w and time allocation of parameters τ and refer to:
Setting up the combined optimization problem of beamformer w and time allocation of parameters τ, its object function is respectively as follows: with constraints
m a x &tau; , w 1 - &tau; 2 log 2 { 1 + 2 &eta;&tau;P s | h 1 T w | 2 | | h 1 | | 2 ( 1 - &tau; ) d 1 2 &alpha; N 0 + 4 &eta; 2 &tau; 2 P s 2 | h 1 T w | 2 | h 2 T w | 2 | h 3 | 2 | | h 2 | | 2 ( 1 - &tau; ) 2 d 1 &alpha; d 2 2 &alpha; d 3 &alpha; N 0 2 2 &eta;&tau;P s | h 1 T w | 2 | h 3 | 2 ( 1 - &tau; ) d 1 &alpha; d 3 &alpha; N 0 + 2 &eta;&tau;P s | h 2 T w | 2 | | h 2 | | 2 ( 1 - &tau; ) d 2 2 &alpha; N 0 + 1 } ,
S.t 0 < τ < 1, | | w | |2≤1;
Wherein, η represents energy utilization efficiency;PsRepresent the transmitting power of hybrid base station;N0Represent noise power;W represents wave beam Figuration device;h1、h2, and h3Represent user node and hybrid base station, via node and hybrid base station and user node respectively And the channel condition information between via node;d1、d2、d3Represent that user node and hybrid base station, via node are with mixed respectively Distance between box-like base station and user node and via node;α represents path fading index;| | represent vector delivery; | | | | represent to measuring 2-norm.
The method maximizing communication system throughput based on hybrid base station the most according to claim 3, it is characterised in that The described combined optimization problem approximation setting up beamformer w and time allocation of parameters τ be decomposed into two univariate excellent Change problem, including: beamformer w is individually optimized problem and time allocation of parameters τ is individually optimized problem.
The method maximizing communication system throughput based on hybrid base station the most according to claim 4, it is characterised in that Described beamformer w is individually optimized problem can be approximately:
m a x w { 2 &eta;P s | h 1 T w | 2 | | h 1 | | 2 d 1 2 &alpha; N 0 + m i n { 2 &eta;P s | h 1 T w | 2 | h 3 | 2 d 1 &alpha; d 3 &alpha; N 0 + 2 &eta;P s | h 2 T w | 2 | | h 2 | | 2 d 2 2 &alpha; N 0 } } ,
s.t||w||2≤ 1,
Wherein,WithRepresent vector respectivelyWithMould, | h3| represent plural number h3Mould, | | h1| | and | | h2| | represent vector h respectively1And h22-norm, T represents transposition;
The optimum beam figuration device w of gained is:
w o p t = x &Pi; h 1 * h 2 * | | &Pi; h 1 h 2 | | + 1 - x 2 &Pi; h 1 * &perp; h 2 * | | &Pi; h 1 &perp; h 2 | | ,
Wherein,Represent vectorAt vectorOn projection,Represent vector h2At vector h1On projection, Represent vectorAt vectorVertical space on projection,Represent vector h2At vector h1Vertical space on throwing Shadow, * represents conjugation;
Work as Aa2+D(b2-c2During)=0:
x = 1 Aa 2 + Ca 2 &le; Dc 2 , c D ( a C - b D ) 2 + Dc 2 Dc 2 < Aa 2 + Ca 2 < 2 ( b c + c 2 ) D , x = 1 2 Aa 2 + Ca 2 &GreaterEqual; 2 ( b c + c 2 ) D .
Wherein
Work as Aa2+D(b2-c2) > 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a C - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 1 ( k ) 1 2 + k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 1 ( k )
Wherein
Work as Aa2+D(b2-c2) < 0 time:
x = 1 Aa 2 + Ca 2 &le; 2 D b c k + Dc 2 D ( A + C ) a 2 c 2 ( a C - b D ) 2 + Dc 2 2 D b c K + Dc 2 < Aa 2 + Ca 2 < f 2 ( k ) 1 2 - k 2 2 k 2 + k 4 Aa 2 + Ca 2 &GreaterEqual; f 2 ( k ) ,
Wherein
The method maximizing communication system throughput based on hybrid base station the most according to claim 5, it is characterised in that Described time allocation of parameters τ is individually optimized problem it is: on the basis of completing beamformer w to optimize, then base Reach maximum in throughput of system and time allocation of parameters τ is carried out single optimization, near optimal time allocation of parameters τ of gained For:
&tau; ^ = e W ( A 0 - 1 e ) + 1 - 1 A 0 - 1 + e W ( A 0 - 1 e ) + 1 ,
WhereinW is Lambert function.
The method maximizing communication system throughput based on hybrid base station the most according to claim 1, it is characterised in that Described step 5) in by process detection user node information refer to: hybrid base station is connect by the method for maximum-ratio combing Receive the information that information and user node directly from user node are forwarded by via node.
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CN106549698A (en) * 2016-10-18 2017-03-29 浙江大学 Maximization minimum user rate method based on the bidirectional relay system of wireless energy transfer
CN106850008A (en) * 2017-02-09 2017-06-13 国网能源研究院 A kind of wireless energy drives transmission method and device
CN107425886A (en) * 2017-04-26 2017-12-01 北京邮电大学 Transmission method before a kind of millimeter wave based on zero-forcing beamforming and relay selection
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