CN110401476A - A kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method - Google Patents

A kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method Download PDF

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CN110401476A
CN110401476A CN201910715824.XA CN201910715824A CN110401476A CN 110401476 A CN110401476 A CN 110401476A CN 201910715824 A CN201910715824 A CN 201910715824A CN 110401476 A CN110401476 A CN 110401476A
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user
code word
base station
beam training
wave beam
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CN110401476B (en
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戚晨皓
陈康建
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Southeast University
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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
    • H04B7/0413MIMO systems
    • H04B7/0452Multi-user MIMO systems
    • 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
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • 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
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0617Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal for beam forming
    • 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
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
    • H04B7/0842Weighted combining
    • H04B7/086Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming
    • 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

Abstract

The invention discloses a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training methods.This method carries out parallel wave beam training to multi-user system by design transmitting terminal beam forming.Compared to the layering wave beam training of existing multiuser serial, the present invention can approach the performance of existing multiuser serial layering wave beam training method under the premise of trained expense is greatly decreased.

Description

A kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method
Technical field
The invention belongs to millimeter wave wireless communication field, it is related to a kind of codebook-based millimetre-wave attenuator multi-user and traveling wave Beam training method.
Background technique
With the prevalence of mobile terminal device, people are also increasing for the demand of wireless communication.To meet people The growing demand to data traffic, millimetre-wave attenuator (30GHz-300GHz) is because of its frequency spectrum resource abundant and high Transmission rate has obtained the extensive concern of people.
Due to having carrier frequency more higher than existing routine band communication, millimetre-wave attenuator has bigger in spatial Path loss.On the other hand, higher carrier frequency makes millimetre-wave attenuator have smaller antenna size.This makes in limited area More large-scale antenna array can be encapsulated in domain, and makes up channel path loss using the gain of aerial array.Existing microwave Band communication is generally the dedicated radio frequency link of each antenna assignment.However, millimetre-wave attenuator is normally applied extensive antenna array Column will generate high radio frequency link cost for the dedicated radio frequency link of every antenna assignment.To save radio frequency link resource, It is a kind of to be widely adopted in millimetre-wave attenuator using the mixing precoding structure of a small amount of radio frequency link.In mixing precoding structure In, each radio frequency link is linked on all antennas by the phase shifter of number of antennas.
In order to obtain the information of millimetre-wave attenuator channel, a kind of wave beam training based on preset code book, i.e. wave beam Scanning, is widely adopted.This method traverses all wave beam possibilities in code book, obtains the code word combination (document of most match channels [1]: A.Alkhateeb, G.Leus, and R.W.Heath, " Limited feedback hybrid precoding for Multi-user millimeter wave systems, " IEEE Trans.Wireless Commun., vol.14, no.11, Pp.6481-6494, Nov.2015.).In order to further speed up the speed of beam scanning, a kind of layering wave based on layering code book Beam training method is suggested.In layering code book, each code word is to cover the wave beam of certain space range, and upper layer code word Beam coverage is the superposition of the corresponding two code word beam coverages of bottom.Code to be tested is usually found in wave beam training With the code word of ceiling capacity in word, to be used for beam forming.Due to being layered the advantage of code book, layering code book is used for multi-user Communication system causes the broad interest of people.Existing wave beam training method usually to multiple users carry out sequence estimate, That is the layering code book training method of time division multiplexing (TDMA).Although the performance of TDMA code book training will successfully be layered code book application Into multi-user beam training, training expense and the linear growth of number of users.Document [2] proposes a kind of more radio frequency links simultaneously The layering code book training program (document [2]: R.Zhang, H.Zhang, W.Xu, and C.Zhao, " A codebook of row operation based simultaneous beam training for mmwave multi-user MIMO systems with Split structures, " in 2018IEEE Global Commun.Conf. (GLOBECOM), Abu Dhabi, UAE, Dec.2018, pp.1-6.).However, this scheme is only applicable in the structure of part connection, it is applied to mixing precoding Great performance loss will be had in framework.
Summary of the invention
Goal of the invention: in view of the above problems, the present invention proposes a kind of codebook-based millimetre-wave attenuator multi-user and traveling wave Beam training method.This method includes three phases: in the first stage, base station end sends 2 spatial beams, its institute of user feedback is right The index for the spatial beams answered.In second stage, base station forms two code words to multi-purpose according to the spatial position of last time detection Family carries out wave beam training simultaneously.In the phase III, signal is sent to user's sequence to base station, so that base station obtains equivalent letter Road matrix eliminates the interference between multi-user.
Technical solution: to achieve the purpose of the present invention, the technical scheme adopted by the invention is that: a kind of codebook-based milli Metric wave communicates multi-user's parallel beam training method, and this method comprises the following steps:
(1) the signal mode of millimeter wave multi-user communication is established;
(2) base station and the millimetre-wave attenuator channel model of multi-user are established;
(3) designed for estimating that the user terminal of the channel model channel path angle of arrival is layered code book;
(4) designed for estimating that the channel model channel path sends the base station end code book at angle, the user terminal is utilized It is layered code book and the base station end code book, implements the training of multi-user's parallel beam, new base station is designed according to wave beam training result Hold code book for the training of multi-user's parallel beam next time, until completing wave beam training;
(5) digital precode of transmitting terminal is designed on the basis of step (1)-(4).
Further, in step (1), the signal mode of millimeter wave multi-user communication is established as follows:
It is arranged between a base station and K user and communicates, base station uses including digital precode and simulates the mixed of precoding Close precoding structure;Each user is only with simulation precoding;The radio frequency link number of base station and user are respectively NRFWith 1, hair The aerial array of sending end and receiving end is divided into the homogenous linear battle array of half-wavelength between being, there is N respectivelyBSAnd NUERoot antenna, signal exist Transmitting terminal is sent, signal is wireless after digital precode, radio frequency link, simulation precoding by aerial array K-th of user is reached in channel after transmission, the signal that k-th of user antenna array receives passes through hypothetical mergers, radio frequency link It obtains finally receiving signal later, then the signal received can indicate are as follows:
Wherein, k=1,2 ... K, FBB、FRF、HkAnd wkIt Biao Shi not digital precode matrix, simulation pre-coding matrix, base station Channel matrix, hypothetical mergers vector between k-th of user, yk, s and nkIt respectively indicates the reception signal of k-th of user, send The additive white Gaussian noise vector of signal and k-th of user, ()HConjugate transposition is done in expression.
Further, in step (2), millimeter wave multi-user communication channel model is established as follows:
If base station between k-th of user share LkTransmission paths, the information of every transmission paths are received with angle is sent Angle and channel gain indicate that the channel of millimeter-wave communication system is modeled as follows:
Wherein, NBS、NUE、Lk、λlWithRespectively indicate antenna for base station number, user antenna number, path number, The channel gain of l paths, the angle of arrival of channel and channel send angle, and α (N, θ) indicates channel boot vector, is defined as:
Wherein, N is number of antennas, and θ is channel AOA or AOD, it is assumed that the transmission angle in the space of l paths and arrival Angle is respectivelyWithThenIt obtains
Further, in step (3), the user terminal designed for channel path angle of arrival in estimating step (2) is layered code This method is as follows:
(3.1) V is setUEM-th of code word that s layers of code book of graduation of (s, m) expression, m=1,2 ..., 2s
(3.2) antenna number of user terminal is set as NUE, work as NUEFor 2 index power when, code book has the feature that The code book of (3.2.1) transmitting terminal is T+1 layers shared, and T is determined by number of antennas, T=log2NUE
S layers of (3.2.2) code book share 2sA code word, s=0,1,2 ... T;Also, the bottom of code book shares NUEIt is a Code word, each code word is a channel boot vector, and i-th of code word is expressed as wi=α (NUE, -1+ (2i-1)/NUE), i= 1,2 ..., NUE
The width of (3.2.3) s layers of each code word covering is 2/2s, the width of bottom code word covering is 2/NUE
The width of (3.2.4) each upper layer code word covering is represented by the set of the width of multiple bottom code word coverings;
(3.3) layering code book described in step (3.1) and step (3.2) designs through the following steps:
The layering code book number of plies s=1 of (3.3.1) current design;
(3.3.2) is by VUE(s, 1) is divided intoA subclass, each subclass distribute Ns=NUE/tsA member Element, t-th of subclass zt, t=1,2 ..., ts, design are as follows:
Wherein, if T-s is odd number, NA=Ns/2;If T-s is even number, NA=Ns
(3.3.3) is by tsA subclass is stitched together to obtain
(3.3.4) passes through VUE(s, 1)/| | VUE(s, 1) | |2Normalize VUE(s, 1), wherein | | | |2Vector is sought in expression 2 norms;
(3.3.5) calculates VUE(s, m)=VUE(s, 1).M=1,2 ..., 2s, wherein o is indicated Kronecker product;
(3.3.6) s ← s+1 repeats step (3.3.2) to (3.3.5), until s=T.
Further, step (4) the base station end code book, is designed using following steps:
(4.1) defining base station end code book is C, and m-th of code word that the s times wave beam training uses is defined as C (s, m), s=1, 2 ... S-1, m=1,2, wherein S=log2NBSIndicate the number of wave beam training;
(4.2) beam coverage designed for the code word C (1, m) of first time wave beam training are as follows:
Wherein, beam coverage refers to the range by transformed cos angular domain, according toConstruct Ψ1, mAre as follows:
Ψ1, m=i | 16m-15≤i≤16m, i=1,2 ..., N }
According to Ψ1, mIt designs C (1, m) are as follows:
Wherein,
(4.3) code word designed for the training of the S times wave beamWherein,
(4.4) implement the s times wave beam training using code word C (s, m), (s+1) is designed for according to wave beam training result The code word C (s+1, m), s=1,2 ... S-1 of secondary wave beam training.
Further, step (4.4) specifically includes:
(4.4.1) in the training of first time wave beam, base station successively sends code word C (1,1) and C (1,2) to all K use Family, each user use VUE(1,1) and VUE(1,2) it receives, each user independently compares corresponding to code word C (1,1) and C later The received signal power of (1,2), and the biggish codewords indexes of power are fed back into base station, define the training of first time wave beam terminate with The K dimensional vector that the codewords indexes of all K user feedbacks are constituted afterwards is vector Γ1, wherein [Γ1]kIndicate vector Γ1Kth A element represents the feedback information of k-th of user, [Γ1]k∈ { 1,2 };
(4.4.2) is respectively as follows: designed for the coverage area of the code word C (s, 1) and C (s, 2) of the training of the s times wave beam
Wherein, s=2,3 ..., S-1,K dimensional vector Γs-1Indicate s-1 subwave Shu Xunlian after terminating all K users calculated codewords indexes set, Γs-1According to the knot of the s-1 times wave beam training Fruit is calculated;
According to beam coverageIt designs code word C (s, m), when carrying out the s times wave beam training, s=2,3 ..., S-1, Base station successively sends code word C (s, 1) and C (s, 2) to all K users, and each user uses VUE(s, 1) and VUE(s, 2) is received, Each user independently compares the received signal power corresponding to code word C (s, 1) and C (s, 2) later, and by the biggish code of power Word indexing feeds back to base station, and the K dimensional vector that the codewords indexes of all K user feedbacks are constituted after definition wave beam training terminates is Vector Φs, it can be calculated:
s]k=2 ([Γs-1]k-1)+[Φs]k, k=1,2 ..., K
(4.4.3) repeats step (4.4.2), the wave beam training until completing the S-1 times;
(4.4.4) in the training of the S times wave beam, K user successively carries out the wave beam training of uplink, as k-th of user and When base station carries out wave beam training, base station end uses code word respectivelyWithIt is received, and is connect by comparing The power of the collection of letters number determines the optimum reception code word of k-th of user, definition set ΦSAll K users are stored in the S times wave beam The index of base station optimum reception code word, [Φ after trainingS]k∈ { 1,2 }, if the code word of k-th of user's Power is received to be greater thanReception power, then [ΦS]k=1, on the contrary [ΦS]k=2, calculate [ΓS]kIt is as follows:
S]k=2 ([ΓS-1]k-1)+[ΦS]k, k=1,2 ..., K
Calculate the simulation pre-coding matrix of transmitting terminalIts kth is defined to be classified asIt calculatesIt is as follows:
Indicate that the optimal base station end for completing obtained k-th of the user of wave beam training receives code word.
Further, step (4.4.2), it is described according to beam coverageIt designs code word C (s, m), it is specific to wrap It includes:
(4.2.2.1) is by continuous space angle θ ∈ [- 1,1] discretization, it is assumed that discrete digit is Q, Q >=NBS, quantization Angle write as θq=-1+ (2q-1)/Q, q=1,2 ..., Q;Defining beam gain to be designed is g (θ), phase ejf(θ), The vector obtained after its equal interval sampling is defined as g, whereinIndicate q-th of element of vector g, g (θ) is given by the following formula:
Wherein, f (θ) is variable to be designed, and M is the sum of beam coverage width;
(4.2.2.2) is according to the vector g design code wordIt specifically includes:
Define a matrixThe q list of matrix A Show and is directed toward angle, θ in step (2)qBoot vector α (NBs, θq), q=1,2 ..., Q;
Following optimization problem is converted by the design problem of code word v:
Wherein, Ω indicates the phase of vector g, [Ω]q=f (θq) indicate vector Ω q-th of element, q=1,2 ..., Q, For given Ω or g, the least square solution of v is calculated are as follows:
Second equal sign of above-mentioned formula according toWherein,Expression dimension is NBS×NBSUnit Matrix;
The optimization aim conversion are as follows:
The optimization problem is solved, is specifically included:
(1-1), the random initial value Ω for generating Ω0, r=1 is set;
(1-2), current optimized variable q=mod (r-1, Q)+1 is calculated, wherein mod () indicates modulo operation, r cumulative 1;
(1-3), [Ω] is updatedqAre as follows:
In above formula:
Wherein,
Re { } and Im { } respectively indicate the real and imaginary parts for taking complex vector located (matrix), " " indicate what set excluded Operation, []Q, iI-th of element of representing matrix q row, []I:I-th row of representing matrix;
(1-4), (1-2) and (1-3) is executed repeatedly, until r is equal to preset maximum times Rmax
(1-5), the Ω obtained according to (1-4), using in step (4.2.2.1)Calculate g, meter Calculate code wordAnd it is rightIt is normalized to obtain
Further, the design of the digital precode matrix in step (1) specifically includes: according to the base of step (4.4.4) End of standing most preferably sends code wordEquivalent channel matrix design are as follows:
Wherein,It indicates to complete the S times wave beam, k-th of user's optimum reception code word after training, designs digital precode Matrix design are as follows:
The utility model has the advantages that compared with prior art, technical solution of the present invention has following advantageous effects:
(1) trained expense can be greatly decreased compared with existing serial layering wave beam training method in this method;
(2) this method can obtain comparable and rate capability, under the premise of high s/n ratio, can approach wave beam and sweep Performance retouch and rate.
Detailed description of the invention
Fig. 1 is the schematic diagram for the millimeter-wave communication system model that the embodiment of the present invention uses;
Fig. 2 is the schematic diagram of code word in the user stratification code book of design of the embodiment of the present invention;
Fig. 3 is the schematic diagram of code word in the base station end code book of design of the embodiment of the present invention;
Fig. 4 is the analogous diagram for the code word that the base station beam training of design of the embodiment of the present invention is used;
Fig. 5 is the present invention compared with the method for document [1] and [2] obtains channel information accuracy;
Fig. 6 be the present invention with the user of document [1] and the method for [2] be averaged and rate compared with.
Specific embodiment
Technical scheme of the present invention will be described in further detail with reference to the accompanying drawings and examples.
(1) as shown in Figure 1, the millimeter-wave communication system that considers of the present invention is as follows:
The present invention considers the communication between a base station and K user.It includes that digital precode and simulation are pre- that base station, which uses, The mixing precoding structure of coding;Each user is only with simulation precoding;The radio frequency link number of base station and user is respectively NRFWith 1, the aerial array of transmitting terminal and receiving end is divided into the homogenous linear battle array of half-wavelength between being, and has N respectivelyBSAnd NUERoot day Line.
Millimeter-wave communication system model between base station of the present invention and k-th of user is described as follows:
Signal after digital precode, radio frequency link, simulation precoding, is sent out in transmitting terminal by aerial array It goes.Signal reaches k-th of user after transmitting in wireless channel, the signal that k-th of user antenna array receives is by simulation Merge, obtain finally receiving signal after radio frequency link.The signal then received can indicate are as follows:
Wherein, k=1,2 ... K, FBB、FRF、HkAnd wkIt Biao Shi not digital precode matrix, simulation pre-coding matrix, base station Channel matrix, hypothetical mergers vector between k-th of user, yk, s and nkIt respectively indicates the reception signal of k-th of user, send The additive white Gaussian noise vector of signal and k-th of user, ()HConjugate transposition is done in expression.
(2) channel model in millimeter-wave communication system model of the present invention is described as follows:
If base station between k-th of user share LkTransmission paths, the information of every transmission paths are received with angle is sent Angle and channel gain indicate, according to widely applied Saleh-Valenzuela (S-V) model, this millimeter-wave communication system Channel be modeled as:
Wherein, NBS、NUE、Lk、λlWithRespectively indicate antenna for base station number, user antenna number, path number, The channel gain of l paths, the angle of arrival (angle-of-arrival, AOA) of channel and channel send angle (angle-of- Departure, AOD), α (N, θ) indicates channel boot vector, is defined as:
Wherein, N is number of antennas, and θ is channel AOA or AOD, in fact, assuming the transmission angle in the space of l paths and arriving It is respectively up to angleWithThenTherefore, we are available
(3.1) V is setUEM-th of code word that s layers of code book of graduation of (s, m) expression, m=1,2 ..., 2s
(3.2) antenna number of user terminal is set as NUE, work as NUEFor 2 index power when, code book has the feature that The code book of (3.2.1) transmitting terminal is T+1 layers shared, and T is determined by number of antennas, T=log2NUE
S layers of (3.2.2) code book share 2sA code word, s=0,1,2 ... T;Also, the bottom of code book shares NUEIt is a Code word, each code word is a channel boot vector, and i-th of code word is expressed as wi=α (NUE, -1+ (2i-1)/NUE), i= 1,2 ..., NUE
The width of (3.2.3) s layers of each code word covering is 2/2s, the width of bottom code word covering is 2/NUE
The width of (3.2.4) each upper layer code word covering is represented by the set of the width of multiple bottom code word coverings;
(3.3) layering code book described in step (3.1) and step (3.2) designs through the following steps:
The layering code book number of plies s=1 of (3.3.1) current design;
(3.3.2) is by VUE(s, 1) is divided intoA subclass, each subclass distribute Ns=NUE/tsA member Element, t-th of subclass zt, t=1,2 ..., ts, design are as follows:
Wherein, if T-s is odd number, NA=Ns/2;If T-s is even number, NA=Ns
(3.3.3) is by tsA subclass is stitched together to obtain
(3.3.4) passes through VUE(s, 1)/| | VUE(s, 1) | |2Normalize VUE(s, 1), wherein | | | |2Vector is sought in expression 2 norms;
(3.3.5) calculates VUE(s, m)=VUE(s, 1).M=1,2 ..., 2s, wherein o is indicated Kronecker product;
(3.3.6) s ← s+1 repeats step (3.3.2) to (3.3.5), until s=T.
(4) it as shown in figure 3, the present invention is used to estimate the base station end code book that signal sends angle AOD, is carried out using following steps Design:
(4.1) defining base station end code book is C, and m-th of code word that the s times wave beam training uses is defined as C (s, m), s=1, 2 ... S-1, m=1,2, wherein S=log2NBSIndicate the number of wave beam training.
(4.2) beam coverage designed for the code word C (1, m) of first time wave beam training are as follows:
Wherein, beam coverage refers to the range by transformed cos angular domain.According toConstruct Ψ1, mAre as follows:
Ψ1, m=i | 16m-15≤i≤16m, i=1,2 ..., N }
According to Ψ1, mIt designs C (1, m) are as follows:
Wherein,
(4.3) code word designed for the training of the S times wave beamWherein,
(4.4) implement the s times wave beam training using code word C (s, m), (s+1) is designed for according to wave beam training result The code word C (s+1, m), s=1,2 ... S-1 of secondary wave beam training.
When (4.4.1) carries out the training of first time wave beam, base station successively sends code word C (1,1) and C (1,2) to all K use Family, each user use VUE(1,1) and VUE(1,2) it receives, each user independently compares corresponding to code word C (1,1) and C later The received signal power of (1,2), and the biggish codewords indexes of power are fed back into base station.Define first time wave beam training terminate with The K dimensional vector that the codewords indexes of all K user feedbacks are constituted afterwards is vector Γ1, wherein [Γ1]kIndicate vector Γ1K-th Element represents the feedback information of k-th of user, [Γ1]k∈ { 1,2 };
(4.4.2) is respectively as follows: designed for the coverage area of the code word C (s, 1) and C (s, 2) of the training of the s times wave beam
Wherein, s=2,3 ..., S-1,K dimensional vector Γs-1Indicate s-1 subwave Shu Xunlian after terminating all K users calculated codewords indexes set, can the s-1 wave beam in base area training result It is calculated.Particularly, Γ1As shown in step (4.4.1).
When carrying out the s times wave beam training, s=2,3 ..., S-1, base station successively sends code word C (s, 1) and C (s, 2) gives All K users, each user use VUE(s, 1) and VUE(s, 2) is received, and each user independently compares corresponding to code word C later The received signal power of (s, 1) and C (s, 2), and the biggish codewords indexes of power are fed back into base station.Defining wave beam training terminates The K dimensional vector that the codewords indexes of later all K user feedbacks are constituted is vector Φs, it is possible to further be calculated:
s]k=2 ([Γs-1]k-1)+[Φs]k, k=1,2 ..., K
Beam angle isCode word C (s, m) pass through following steps design:
(4.2.2.1) is by continuous space angle θ ∈ [- 1,1] discretization, it is assumed that discrete digit is Q, Q >=NBS, quantization Angle write as θq=-1+ (2q-1)/Q, q=1,2 ..., Q;Defining beam gain to be designed is g (θ), phase ejf(θ), The vector obtained after its equal interval sampling is defined as g, whereinIndicate q-th of element of vector g, g (θ) is given by the following formula:
Wherein, f (θ) is variable to be designed, and M is the sum of beam coverage width;
(4.2.2.2) is according to the vector g design code wordIt specifically includes:
Define a matrixThe q list of matrix A Show and is directed toward angle, θ in step (2)qBoot vector α (NBS, θq), q=1,2 ..., Q;
Following optimization problem is converted by the design problem of code word v:
Wherein, Ω indicates the phase of vector g, [Ω]q=f (θq) indicate vector Ω q-th of element, q=1,2 ..., Q. For given Ω or g, the least square solution of v is calculated are as follows:
Second equal sign of above-mentioned formula according toWherein,Expression dimension is NBS×NBSUnit Matrix.
The optimization aim conversion are as follows:
The optimization problem is solved, is specifically included:
1., at random generate Ω initial value Ω0, r=1 is set;
2., calculate current optimized variable q=mod (r-1, Q)+1, wherein mod () indicates modulo operation, and r cumulative 1 uses r ←r+1。
3., update [Ω]qAre as follows:
In above formula:
Wherein,
Re { } and Im { } respectively indicate the real and imaginary parts for taking complex vector located (matrix), " " indicate what set excluded Operation, []Q, iI-th of element of representing matrix q row, []I:I-th row of representing matrix;
4., 2. and 3. execute repeatedly, until r is equal to preset maximum times Rmax
5., according to the Ω that 4. obtains, using in step (4.2.2.1)Calculate g.Calculate code wordAnd it is rightIt is normalized to obtain
(4.4.3) repeats step (4.4.2), the wave beam training until completing the S-1 times;
(4.4.4) when carrying out the S time wave beam training, the wave beam that K user by sequence carries out uplink is trained, the When k user and base station carry out wave beam training, base station end passes through respectivelyWithIt is received, docking is collected mail Number power make a decision with determine k-th of user optimal reception code word, definition set ΦSK user the S times wave of storage Beam training information, [ΦS]k∈ { 1,2 }, if the code word of k-th of userReception power be greater thanConnect Power is received, then [ΦS]k=1, on the contrary [ΦS]k=2, it is hereby achieved that:
S]k=2 ([ΓS-1]k-1)+[ΦS]k, k=1,2 ..., K
Finally, the pre- matrix of the simulation of available transmitting terminalIts kth columnK is indicated are as follows:
It represents wave beam training obtained k-th of user base station end and most preferably sends code word;
(5) design of the digital precode matrix in step (1) is as described below:
Code word is most preferably sent according to the base station end of step (4.4.4)Equivalent channel matrix design are as follows:
WhereinIt indicates to complete the S times wave beam, k-th of user's optimum reception code word after training.Design digital precode square Battle array design are as follows:
Below with reference to simulated conditions, the present invention will be further described with result:
Consider the extensive mimo system of multi-user's millimeter wave, wherein NBS=128.Each user assembled have NUE=16 Antenna.By 1 los path, 2 obstructed paths form millimeter wave mimo channel, Lk=3.Path gain beam gain Meet multiple Gauss Gaussian ProfileFirst of path of channelWith Meet being uniformly distributed in [- 1,1].
(1) Fig. 4 is the analogous diagram of code word in the millimetre-wave attenuator communication base station end code book of the invention designed.Antenna for base station number Mesh NBS=128, number of users K=4.When carrying out the training of first time wave beam, code word C (1,1) and C (1,2) pass through step Method is designed in (4.4.2), and the code word beam shape designed is as described in first subgraph of Fig. 4.In the wave of first time After Shu Xunlian terminates, it is assumed that from the set of pointers Γ 1={ 1,1,2,2 } of client feeds back.Γ1Value it is meant that first A and second user channel AoD is located in the beam coverage of C (1,1), the channel AoD of third and the 4th user In the beam coverage of (1,2) C.Based on Γ1, according to step (4.4.2), can determineWithPass through step Code word design method in (4.4.2) designs the beam shape of C (2,1) and C (2,2) as shown in second subgraph of Fig. 4. It is assumed that being Φ from the set of pointers of four user feedbacks after second of wave beam training2={ 1,2,2,2 }.Then, root According to the method for step (4.4.2), Γ can be calculated2={ 1,2,4,4 }.Based on Γ2, according to step (4.4.2), can determineWithThen according to the code word design method of step (4.4.2), the beam shape of C (3,1) and C (3,2) is designed such as Shown in the third subgraph of Fig. 4.
(2) as shown in figure 5, we compare the search success rate of different schemes.Beam search success rate is defined as follows: If the los path of k-th of user is successfully detected out, we just say that the wave beam of k-th of user is trained successfully;It is no Then, we say the wave beam failure to train of k-th of user.Successful wave beam frequency of training is defined as than upper total frequency of training Search for success rate.Because base station has serviced K user simultaneously, the search success rate of Fig. 5 is the search success rate to K user It is averaged.From fig. 5, it can be seen that our scheme better than in document [2] as a result, and TDMA hierarchical search can be approached Performance.When low signal-to-noise ratio, our scheme is slightly inferior to the performance of TDMA hierarchical search.This is because our side Case carries out parallel multi-user's training to multiple users, and transmission power can be averaged by all users.But the instruction of our schemes Practice frequency of training of the number much smaller than TDMA layering code book.
(3) Fig. 6 compares the average and rate of different schemes.It can be seen from the figure that our scheme and dividing for TDMA Layer search plan is almost to be overlapped.In addition, the difference with the promotion of success rate, in our scheme and document [1] in scheme It is smaller and smaller away from meeting.For example, gap does not exceed 0.5bps/Hz when signal-to-noise ratio is 15dB.
(4) as shown in table 1, we compare the frequency of training of different schemes.For example, if NBS=128, NUE=16, K =8, scheme and TDMA the layering wave beam training of the solution of the present invention, document [1] are respectively necessary for 36,2048 and 176 time slots.Than Latter two scheme is played, wave beam training expense can be reduced 98.2% and 79.2% by our scheme.
Table 1
Above-described specific embodiment has carried out further the purpose of the present invention, technical scheme and beneficial effects Ground is described in detail, it should be understood that being not used to limit this hair the foregoing is merely a specific embodiment of the invention Bright protection scope, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should all wrap Containing within protection scope of the present invention.

Claims (8)

1. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method, which is characterized in that this method includes such as Lower step:
(1) the signal mode of millimeter wave multi-user communication is established;
(2) base station and the millimetre-wave attenuator channel model of multi-user are established;
(3) designed for estimating that the user terminal of the channel model channel path angle of arrival is layered code book;
(4) it designed for estimating that the channel model channel path sends the base station end code book at angle, is layered using the user terminal Code book and the base station end code book implement the training of multi-user's parallel beam, new base station end code are designed according to wave beam training result This is for the training of multi-user's parallel beam next time, until completing wave beam training;
(5) digital precode of transmitting terminal is designed on the basis of step (1)-(4).
2. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 1, step (1) in, the signal mode of millimeter wave multi-user communication is established as follows:
It is arranged between a base station and K user and communicates, it includes that digital precode and the mixing of simulation precoding are pre- that base station, which uses, Coding structure;Each user is only with simulation precoding;The radio frequency link number of base station and user are respectively NRFWith 1, transmitting terminal And the aerial array of receiving end be between be divided into the homogenous linear battle array of half-wavelength, have N respectivelyBSAnd NUERoot antenna, signal are being sent End is sent, signal is in wireless channel after digital precode, radio frequency link, simulation precoding by aerial array K-th of user is reached after middle transmission, the signal that k-th of user antenna array receives is after hypothetical mergers, radio frequency link It obtains finally receiving signal, then the signal received can indicate are as follows:
Wherein, k=1,2 ... K, FBB、FRF、HkAnd wkIt Biao Shi not digital precode matrix, simulation pre-coding matrix, base station and kth Channel matrix, hypothetical mergers vector between a user, yk, s and nkRespectively indicate k-th of user reception signal, send signal and The additive white Gaussian noise vector of k-th of user, ()HConjugate transposition is done in expression.
3. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 1 or 2, step Suddenly in (2), millimeter wave multi-user communication channel model is established as follows:
If base station between k-th of user share LkTransmission paths, the information of every transmission paths with sending angle, acceptance angle and Channel gain indicates that the channel of millimeter-wave communication system is modeled as follows:
Wherein, NBS、NUE、Lk、λlWithRespectively indicate antenna for base station number, user antenna number, path number, the l articles The channel gain in path, the angle of arrival of channel and channel send angle, and α (N, θ) indicates channel boot vector, is defined as:
Wherein, N is number of antennas, and θ is channel AOA or AOD, it is assumed that the transmission angle in the space of l paths and angle of arrival point It is notWithThenIt obtains
4. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 1, special Sign is, in step (3), the method designed for the user terminal layering code book of channel path angle of arrival in estimating step (2) is such as Under:
(3.1) V is setUEM-th of code word that s layers of code book of graduation of (s, m) expression, m=1,2 ..., 2s
(3.2) antenna number of user terminal is set as NUE, work as NUEFor 2 index power when, code book have the feature that (3.2.1) send out The code book of sending end is T+1 layers shared, and T is determined by number of antennas, T=log2NUE
S layers of (3.2.2) code book share 2sA code word, s=0,1,2 ... T;Also, the bottom of code book shares NUEA code Word, each code word is a channel boot vector, and i-th of code word is expressed as wi=α (NUE,-1+(2i-1)/NUE), i=1, 2,…,NUE
The width of (3.2.3) s layers of each code word covering is 2/2s, the width of bottom code word covering is 2/NUE
The width of (3.2.4) each upper layer code word covering is represented by the set of the width of multiple bottom code word coverings;
(3.3) layering code book described in step (3.1) and step (3.2) designs through the following steps:
The layering code book number of plies s=1 of (3.3.1) current design;
(3.3.2) is by VUE(s, 1) is divided intoA subclass, each subclass distribute Ns=NUE/tsA element, T-th of subclass zt, t=1,2 ..., ts, design are as follows:
Wherein, if T-s is odd number, NA=Ns/2;If T-s is even number, NA=Ns
(3.3.3) is by tsA subclass is stitched together to obtain
(3.3.4) passes through VUE(s,1)/‖VUE(s,1)‖2Normalize VUE(s, 1), wherein ‖ ‖22 norms of vector are sought in expression;
(3.3.5) is calculatedWherein,It indicates Kronecker product;
(3.3.6) s ← s+1 repeats step (3.3.2) to (3.3.5), until s=T.
5. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 1, special Sign is that step (4) the base station end code book is designed using following steps:
(4.1) defining base station end code book is C, and m-th of code word that the s times wave beam training uses is defined as C (s, m), s=1,2 ... S-1, m=1,2, wherein S=log2NBsIndicate the number of wave beam training;
(4.2) beam coverage designed for the code word C (1, m) of first time wave beam training are as follows:
Wherein, beam coverage refers to the range by transformed cos angular domain, according toConstruct Ψ1,mAre as follows:
Ψ1,m=i | 16m-15≤i≤16m, i=1,2 ..., N } }
According to Ψ1,mIt designs C (1, m) are as follows:
Wherein,
(4.3) code word designed for the training of the S times wave beamWherein,
(4.4) implement the s times wave beam training using code word C (s, m), (s+1) subwave is designed for according to wave beam training result The code word C (s+1, m) of Shu Xunlian, s=1,2 ... S-1.
6. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 5, special Sign is that step (4.4) specifically includes:
(4.4.1) in the training of first time wave beam, base station successively sends code word C (1,1) and C (1,2) to all K users, often A user uses VUE(1,1) and VUE(1,2) it receives, each user independently compares corresponding to code word C (1,1) and C (1,2) later Received signal power, and the biggish codewords indexes of power are fed back into base station, institute after defining the training of first time wave beam and terminating The K dimensional vector for having the codewords indexes of K user feedback to constitute is vector Γ1, wherein [Γ1]kIndicate vector Г1K-th yuan Element represents the feedback information of k-th of user, [Г1]k∈{1,2};
(4.4.2) is respectively as follows: designed for the coverage area of the code word C (s, 1) and C (s, 2) of the training of the s times wave beam
Wherein, s=2,3 ..., S-1,K dimensional vector Γs-1Indicate the s-1 times wave beam instruction Practice terminate after all K users calculated codewords indexes set, Γs-1According to the result meter of the s-1 times wave beam training It obtains;
According to beam coverageIt designs code word C (s, m), when carrying out the s times wave beam training, s=2,3 ..., S-1, base station Code word C (s, 1) and C (s, 2) are successively sent to all K users, each user uses VUE(s, 1) and VUE(s, 2) is received, later Each user independently compares the received signal power corresponding to code word C (s, 1) and C (s, 2), and by the biggish code word rope of power Draw and feed back to base station, the K dimensional vector that the codewords indexes of all K user feedbacks are constituted after definition wave beam training terminates is vector Φs, it can be calculated:
s]k=2 ([Γs-1]k-1)+[Φs]k, k=1,2 ..., K
(4.4.3) repeats step (4.4.2), the wave beam training until completing the S-1 times;
(4.4.4) in the S times wave beam training, K user successively carries out the wave beam training of uplink, when k-th of user and base station When carrying out wave beam training, base station end uses code word respectivelyWithIt is received, and is believed by comparing receiving Number power determine the optimum reception code word of k-th of user, definition set ΦSAll K users are stored in the S times wave beam training After base station optimum reception code word index, [ΦS]k∈ { 1,2 }, if the code word of k-th of userReception Power is greater thanReception power, then [ΦS]k=1, on the contrary [ΦS]k=2, calculate [ΓS]kIt is as follows:
S]k=2 ([ΓS-1]k-1)+[ΦS]k, k=1,2 ..., K
Calculate the simulation pre-coding matrix of transmitting terminalIts kth is defined to be classified asIt calculatesIt is as follows:
Indicate that the optimal base station end for completing obtained k-th of the user of wave beam training receives code word.
7. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 6, special Sign is that step (4.4.2) is described according to beam coverageIt designs code word C (s, m), specifically includes:
(4.2.2.1) is by continuous space angle θ ∈ [- 1,1] discretization, it is assumed that discrete digit is Q, Q >=NBS, the angle of quantization Degree is write as θq=-1+ (2q-1)/Q, q=1,2 ..., Q;Defining beam gain to be designed is g (θ), phase ejf(θ), etc. The vector obtained after interval sampling is defined as g, whereinIndicate that q-th of element of vector g, g (θ) are logical It crosses given below:
Wherein, f (θ) is variable to be designed, and M is the sum of beam coverage width;
(4.2.2.2) is according to the vector g design code wordIt specifically includes:
Define a matrixThe q column of matrix A indicate step Suddenly angle, θ is directed toward in (2)qBoot vector α (NBSq), q=1,2 ..., Q;
Following optimization problem is converted by the design problem of code word v:
Wherein, Ω indicates the phase of vector g, [Ω]q=f (θq) indicate vector Ω q-th of element, q=1,2 ..., Q, for Given Ω or g, calculates the least square solution of v are as follows:
Second equal sign of above-mentioned formula according toWherein,Expression dimension is NBS×NBSUnit matrix;
The optimization aim conversion are as follows:
The optimization problem is solved, is specifically included:
(1-1), the random initial value Ω for generating Ω0, r=1 is set;
(1-2), current optimized variable q=mod (r-1, Q)+1 is calculated, wherein mod () indicates modulo operation, r cumulative 1;
(1-3), [Ω] is updatedqAre as follows:
In above formula:
Ψ={ 1,2 ..., 2Q } { q, q+Q }
Wherein,
Re { } and Im { } respectively indicate the real and imaginary parts for taking complex vector located (matrix), " " indicate the operation that set excludes, [·]q,iI-th of element of representing matrix q row, []i,:I-th row of representing matrix;
(1-4), (1-2) and (1-3) is executed repeatedly, until r is equal to preset maximum times Rmax
(1-5), the Ω obtained according to (1-4), using in step (4.2.2.1)G is calculated, code is calculated WordAnd it is rightIt is normalized to obtain
8. a kind of codebook-based millimetre-wave attenuator multi-user parallel beam training method according to claim 6, special Sign is that the design of the digital precode matrix in step (1) specifically includes: most preferably being sent out according to the base station end of step (4.4.4) Send code wordEquivalent channel matrix design are as follows:
Wherein,It indicates to complete the S times wave beam, k-th of user's optimum reception code word after training, designs digital precode matrix Design are as follows:
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