CN109005551A - A kind of multi-user's NOMA downlink power distributing method of imperfect channel state information - Google Patents
A kind of multi-user's NOMA downlink power distributing method of imperfect channel state information Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04W24/02—Arrangements for optimising operational condition
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/0413—MIMO systems
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
- H04B7/0613—Diversity 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
- H04B7/0615—Diversity 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
- H04B7/0619—Diversity 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 using feedback from receiving side
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- H04B7/0626—Channel coefficients, e.g. channel state information [CSI]
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- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
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- H04L5/0048—Allocation of pilot signals, i.e. of signals known to the receiver
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- H04W52/00—Power management, e.g. TPC [Transmission Power Control], power saving or power classes
- H04W52/04—TPC
- H04W52/18—TPC being performed according to specific parameters
- H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
- H04W52/241—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters taking into account channel quality metrics, e.g. SIR, SNR, CIR, Eb/lo
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- H04W72/04—Wireless resource allocation
- H04W72/044—Wireless resource allocation based on the type of the allocated resource
- H04W72/0473—Wireless resource allocation based on the type of the allocated resource the resource being transmission power
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Abstract
Present invention discloses a kind of multi-user's NOMA downlink power distributing methods of imperfect channel state information, this method comprises the following steps: for single cell multi-user's NOMA downlink wireless communication system, all users send ascending pilot frequency to base station, base station receives the pilot tone that user terminal is sent and carries out channel estimation, obtains the imperfect channel state information of all users；According to the imperfect channel state information for all users that base station is got, user is screened using user's selection scheme, and the user group cluster screened；It using the imperfect channel state information of screened user, calculates and sends pre-coding matrix, according to the total capacity maximization principle with users all in cluster, then base station sends signal according to the optimal power contribution result found out and carries out signal transmission.This method uses RZF precoding under imperfect channel state information in systems, gives more power distributions to weak user, improves cell edge user throughput, maintain the fairness of system user.
Description
Technical field
The present invention relates to a kind of multi-user's NOMA downlink power distributing methods of imperfect channel state information, can be used for nothing
Line communication technology field.
Background technique
With the fast development of wireless communication technique, the 5th third-generation mobile communication is positioned at spectrum efficiency height, wireless transmission speed
Rate is fast, supports the wireless network of a large number of users access, therefore non-orthogonal multiple (Non-orthogonal Multiple
Access, NOMA) technology the main reason for coming into being, using NOMA is that it can be more within same time and frequency resource
A user provides service, so as to support the connection of a large number of users.So the proposition of NOMA is to the frequency spectrum for solving growing tension
Resource be it is highly beneficial, NOMA technology is widely used in the fields such as wireless communication, smart city, unmanned plane network.NOMA with
NOMA unlike orthogonal multiple access techniques can guarantee to use by power distribution mechanism flexible between strong user and weak user
The fairness and service quality at family, especially in NOMA, as more power are assigned to weak user, NOMA can be
Cell Edge User provides higher handling capacity, therefore power distribution and user fairness are main focus.In NOMA
Power distribution is not only to maximize total capacity, but consider total capacity and user fairness simultaneously, because if target is
Maximization system and rate, then NOMA will distribute all power for strong user.
Summary of the invention
The object of the invention is to propose a kind of non-ideal communication channel to solve the above-mentioned problems in the prior art
Multi-user's NOMA downlink power distributing method of status information.
A kind of the purpose of the invention will be achieved through the following technical solutions: multi-user of imperfect channel state information
NOMA downlink power distributing method, this method comprises the following steps:
S101: for single cell multi-user's NOMA downlink wireless communication system, all users send ascending pilot frequency to base station,
Base station receives the pilot tone that user terminal is sent and carries out channel estimation, obtains the imperfect channel state information of all users；
S102: according to the imperfect channel state information for all users that base station in step S101 is got, user is utilized
Selection scheme screens user, and the user group cluster screened；
S103: it using the imperfect channel state information of screened user, calculates and sends pre-coding matrix, according to same cluster
In all users total capacity maximization principle, in ensuring system under the constraint of user fairness, calculate optimal power contribution
The factor, then base station sends signal according to the optimal power contribution result found out, carries out signal transmission.
Preferably, in S101 step, which includes a base station and multiple users, and base station is to user terminal
Superposed signal is sent, transmitting terminal uses the regularization force zero precoding based on imperfect channel state information, while receiving end benefit
With successive interference cancellation technology, interference and inter-user interference between cluster are eliminated；Assuming that there is N root antenna in base station, user integrates as Q, wherein Q
M user is shared, each user's single antenna, M > > 2K, wherein > > indicates to be much larger than, and the total number of users of system call is 2K,
And meet 2K > N, the uplink pilot sequence that base station utilizes user to send is estimated channel, acquired non-ideal letter
Channel state information indicates are as follows:
Wherein, m ∈ [1,2 ..., M],Indicate the estimation channel between base station and m-th of user, vector magnitude N
× 1, TmIt is the certainty nonnegative definite matrix of N × N, indicates the transmission correlation matrix of antenna for base station,xmAnd vmAll indicate that the multiple Gauss random vector of N × 1, element all obey 0 mean value, side
The independent same distribution of poor 1/N, τmFor channel estimation parameter, the accuracy of channel estimation, τ are indicatedm∈ (0,1), ∈ expression belong to,The square root calculation of representing matrix.
Preferably, user sends ascending pilot frequency to base station, and base station estimates channel according to the known pilot that user sends, false
If the uplink pilot sequence length that each user sends is Tt, the uplink transmission power of receiver is pu, uplink and downlink chain
The white complex gaussian noise power on road is all σ2, calculate channel estimation parameterWherein ρuFor signal noise ratio of upper link,
And
Preferably, in S102 step, specific step is as follows for user's selection scheme:
Step S2a: defining u (t) indicates t-th of user, wherein t ∈ [1,2 ..., M], obtains the non-ideal of M user
Channel state information is respectivelySubscript ()HThe conjugate transposition operation of representing matrix；
Step S2b: collect from user and randomly choose K user in Q, be defined as u (1) ..., u (K), U={ u (1) ..., u
(K) } indicate that the user for randomly choosing K user collects, the large-scale fading factor of user is b in system1And b2, and b1> b2, i
It is initialized as 1, user u (i) selects pairing user from remaining users collection S, defines remaining users collection S={ u (K+1) ..., u
(M) } M-K user, is shared, the following conditions need to be met:
Wherein, j ∈ [K+1 ..., M], m0For the channel correlation coefficient of user u (i) and user u (j),For user u (j)
Estimation channel, r is Fixed constant.J from K+1, successively bring into m (i, j) by value, calculates m (i, j) and channel correlation coefficient
m0It is compared, if the calculated result of m (i, j) is less than or equal to m0,Step S2c is executed, if j value substitutes into m (i, j) meter
The result of calculating is greater than m0, andExecute step S2d；
Step S2c: by j continuation, successively value is brought into m (i, j) backward, and the result for calculating m (i, j) is related to channel
Coefficient m0Compare, until finding the j of the condition of satisfaction；
Step S2d: user u (i) and user u (j) successful matching, user u (i) and user u (j) are combined into one group and formed
One cluster, j stop exploitation, execute step S2e；
Step S2e: for the user u (i) and u (j) of successful matching, estimate that channel matrix is respectivelyWithThen
Indicate that u (i) is the strong user in same group of cluster,It indicates that u (j) is the weak user in same group of cluster, executes step S2f；
Step S2f: removing the user u (j) with user u (i) pairing, i.e. user u (j) is no longer participate in matching for remaining users
It is right, i=i+1 is executed, step S2b is executed, continues remaining users pairing in user's set U, until users all in set U match
It completes.
Preferably, in S103 step, the K cluster constituted using screened handy family, wherein user there are two each clusters,
Obtain the non-ideal estimation channel in base station and k-th of cluster between i-th of userVector magnitude be 1 × N, wherein i ∈ [1,
2], k ∈ [1 ..., K],WithThe non-ideal estimation channel vector of strong user and weak user in respectively k-th of cluster, most
The non-ideal estimation channel matrix of strong user in all clusters is obtained eventuallyMatrix size is K × N.
Preferably, in S103 step, transmitting terminal uses the precoding of regularization force zero, calculates regularization parameterIts
Middle ρ is signal-to-noise ratio, andP is downlink transmission power, σ2For the white complex gaussian noise power of downlink user,N
For antenna for base station number, L is system user sum, according to the non-ideal estimation channel matrix of strong userPositive regularization parameter β, meter
It calculatesWherein ()-1The inverse operation of representing matrix defines the transmission pre-coding matrix that G is N × K, in advance
Encoder matrix is limited by power is sent, and meets tr (GGH)≤NP, P > 0, tr () representing matrix ask mark operation, according to
The constraint condition of pre-coding matrix is sent, is calculatedWherein ε indicates to meet returning for base station transmitting power constraint
One changes parameter, calculated according to front to send pre-coding matrix as a result, calculating:
Wherein INFor the unit matrix of N × N.
Preferably, in S103 step, the same power allocation factor for organizing user is believed with the imperfect channel state of user
Breath changes and changes, therefore calculates the optimal power contribution factor, realizes optimal dynamic power distribution, the specific steps are as follows:
Step S3a: assuming that the real channel in base station and k-th of cluster between i-th of user isVector magnitude be 1 ×
N, andWhereinFor the multiple Gauss random vector of 1 × N, element meets 0 mean value, the independence of variance 1/N
With distribution, TK, iIt is the certainty nonnegative definite matrix of N × N.To obtain the real channel vector of weak user in k-th of cluster
According to pre-coding matrix G is sent, the effective power of user in k-th of cluster is calculatedWherein Ex
{ f (x) } indicates to ask expectation to f (x) about variable x, | |2Indicate the square operation of vector mould；
Step S3b: the real channel vector of weak user in k-th of cluster is utilizedWith transmission pre-coding matrix G, calculateWherein UBFor interference of other clusters to k-th of cluster in system, all clusters
Strong user estimates channel matrixRemove strong user in k-th of cluster and estimates channel vectorIt obtainsMatrix size is (K-
1)×N；
Step S3c: according to the effective power U of user in k-th of clusterAU is interfered between clusterB, calculate strong user in k-th of cluster
The optimal power allocation factor:
Wherein,ε indicates the normalizing for meeting base station transmitting power constraint
Changing parameter, ρ is signal-to-noise ratio, andP is total emission power, and the optimal power allocation factor of weak user is in k-th of cluster
The advantages of technical solution of the present invention is mainly reflected in: this method uses the scene more to correspond to reality, i.e., non-ideal
Under channel state information, and RZF precoding is used in systems, while can give more power distributions to weak user,
Cell edge user throughput is greatly improved, to enhance Cell Edge User experience and service quality, maintains and is
The fairness of system user.
Compared with force zero precoding, performance is obviously improved, while having carried out user's selection, and performance also obtains centainly
The improvement of degree.This method is based on the principle of " maximizing total capacity ", and dynamic transmission power of distributing is improved to the user in cluster
The handling capacity of weak user, maintains the fairness between user.
Detailed description of the invention
Fig. 1 is a kind of multi-user's NOMA descending power distribution of imperfect channel state information provided in an embodiment of the present invention
The flow chart of method.
Fig. 2 is the specific implementation step flow chart of S102 step in Fig. 1.
Fig. 3 is the specific implementation step flow chart of S103 step in Fig. 1.
Specific embodiment
The purpose of the present invention, advantage and feature, by by the non-limitative illustration of preferred embodiment below carry out diagram and
It explains.These embodiments are only the prominent examples using technical solution of the present invention, it is all take equivalent replacement or equivalent transformation and
The technical solution of formation, all falls within the scope of protection of present invention.
Present invention discloses a kind of multi-user's NOMA downlink power distributing methods of imperfect channel state information, are based on
The principle of " maximize total capacity " will ensure that the fairness of user in system as constraint, realize in system with being used in cluster
The optimal power allocation at family, as shown in Figure 1, this method comprises the following steps:
S101: for single cell multi-user's NOMA downlink wireless communication system, all users send ascending pilot frequency to base station,
Base station receives the pilot tone that user terminal is sent and carries out channel estimation, obtains the imperfect channel state information of all users；
S102: according to the imperfect channel state information for all users that base station in S101 step is got, user is utilized
Selection scheme screens user, and the user group cluster screened；
S103: it using the imperfect channel state information of screened user, calculates and sends pre-coding matrix, according to same cluster
In all users total capacity maximization principle, in ensuring system under the constraint of user fairness, calculate optimal power contribution
The factor, then base station sends signal according to the optimal power contribution result found out, carries out signal transmission.
Specifically, in step s101, single cell multi-user NOMA downlink wireless communication of imperfect channel state information
System, including a base station and multiple users, base station sends superposed signal to user terminal, while receiving end is disappeared using stepwise derivation
Except technology, interference and inter-user interference between cluster are eliminated.Assuming that there is N root antenna in base station, user integrates as Q, and wherein Q shares M user,
Each user's single antenna, M > > 2K, wherein > > expression are much larger than, and the total number of users of system call is 2K, and meets 2K >
N.User sends ascending pilot frequency to base station, and the uplink pilot sequence length that each user sends is TtThe uplink of receiver emits function
Rate is pu, the white complex gaussian noise power of uplink and downlink is all σ2, calculate channel estimation parameter
Wherein τmIndicate the accuracy of channel estimation, τm∈ (0,1), ∈ expression belong to, ρuFor signal noise ratio of upper link, andBase
The uplink pilot sequence stood using user's transmission, estimates channel, and acquired imperfect channel state information indicates are as follows:
Wherein, m ∈ [1,2 ..., M],Indicate the estimation channel between base station and m-th of user, vector magnitude N
× 1, TmIt is the certainty nonnegative definite matrix of N × N, indicates the transmission correlation matrix of antenna for base station,xmAnd vmAll indicate that the multiple Gauss random vector of N × 1, element all obey 0 mean value, side
The independent same distribution of poor 1/N,The square root calculation of representing matrix.
As shown in Fig. 2, being specifically included as follows for user's selection scheme specific implementation step flow chart in Fig. 1 S102 step
Step:
Step 201: defining u (t) indicates t-th of user, wherein t ∈ [1,2 ..., M], obtains the non-ideal of M user
Channel state information is respectivelySubscript ()HThe conjugate transposition operation of representing matrix.
Step 202: collecting from user and randomly choose K user in Q, be defined as u (1) ..., u (K), U={ u (1) ..., u
(K) } indicate that the user for randomly choosing K user collects, i is initialized as 1.
Step 203: assuming that the large-scale fading factor of user is b in system1And b2, and b1> b2, user u (i) is from residue
User collects selection pairing user in S, defines remaining users collection S={ u (K+1) ..., u (M) }, wherein i ∈ [1,2 ..., K],
The following conditions need to be met:
Wherein j ∈ [K+1 ..., M], m0For the channel correlation coefficient of user u (i) and user u (j),For user u (j)
Estimation channel, r is Fixed constant.
Step 204:j from K+1, successively bring into m (i, j) by value.
Step 205: calculating m (i, j) and channel correlation coefficient m0Be compared, if the calculated result of m (i, j) be less than etc.
In m0, andExecute step 206), j value substitute into m (i, j) calculated result be greater than m0,Execute step
207)。
Step 206: by j continuation, successively value is brought into m (i, j) backward, and the result for calculating m (i, j) is related to channel
Coefficient m0Compare, until finding the j of the condition of satisfaction.
Step 207: user u (i) and user u (j) are combined into one group and are formed by user u (i) and user u (j) successful matching
One cluster, j stop exploitation.For the user u (i) and u (j) of successful matching, estimate that channel matrix is respectivelyWith
ThenIndicate that u (i) is the strong user in same group of cluster,Indicate that u (j) is the weak user in same group of cluster.
Step 208: removing the user u (j) with user u (i) pairing, i.e. user u (j) is no longer participate in matching for remaining users
It is right.
Step 209: executing i=i+1, continue remaining users pairing in user's set U.
Step 210: all users, which match, as i > K, in set U completes, and user's selection terminates.
As shown in figure 3, for calculating optimal power allocation factor specific implementation step flow chart in Fig. 1 step S103, same group
The power allocation factor of user changes as the imperfect channel state information of user changes, therefore calculates best power point
With the factor, realizes optimal dynamic power distribution, specifically comprise the following steps:
Step 301: using K cluster for screening handy family composition, wherein there are two users for each cluster.Obtain base station and the
Non-ideal estimation channel in k cluster between i-th of userVector magnitude is 1 × N, wherein [1,2] i ∈, k ∈
[1 ..., K],WithThe non-ideal estimation channel vector of strong user and weak user in respectively k-th of cluster, to obtain
The non-ideal estimation channel matrix of strong user in all clustersMatrix size is K × N.Transmitting terminal is prelisted using regularization force zero
Code calculates regularization parameterWherein ρ is signal-to-noise ratio, andP is downlink transmission power, σ2For downlink user
White complex gaussian noise power,N is antenna for base station number, and L is system user sum.According to the non-ideal estimation of strong user
Channel matrixWith regularization parameter β, calculateWherein ()-1The inverse operation of representing matrix.Definition
G is the transmission pre-coding matrix of N × K, and pre-coding matrix is limited by power is sent, and meets tr (GGH)≤NP, P > 0, tr
() representing matrix asks mark operation, according to the constraint condition for sending pre-coding matrix, calculatesWherein ε table
Show the normalized parameter for meeting base station transmitting power constraint, it is calculated according to front to send precoding square as a result, calculating
Battle array:
Wherein INFor the unit matrix of N × N.
Step 302: assuming that the real channel in base station and k-th of cluster between i-th of user isVector magnitude be 1 ×
N, andWhereinFor the multiple Gauss random vector of 1 × N, element meets 0 mean value, and variance 1/N's is independent same
Distribution, TkiIt is the certainty nonnegative definite matrix of N × N, to obtain the real channel vector of weak user in k-th of clusterAccording to
Pre-coding matrix G is sent, the effective power of user in k-th of cluster is calculatedWherein Ex{f
(x) } it indicates to ask expectation to f (x) about variable x, | | 2 indicate the square operation of vector mould.
Step 303: utilizing the real channel vector of weak user in k-th of clusterWith transmission pre-coding matrix G, calculateWherein UEFor interference of other clusters to k-th of cluster in system, all clusters
Strong user estimates channel matrixRemove strong user in k-th of cluster and estimates channel vectorIt obtainsMatrix size is (K-
1)×N。
Step 304: according to the effective power U of user in k-th of clusterAU is interfered between clusterB, calculate strong user in k-th of cluster
The optimal power allocation factor:
Whereinρ is signal-to-noise ratio, andP is total emission power,
The optimal power allocation factor of weak user is in k-th of cluster
This method uses RZF precoding under imperfect channel state information in systems, while can will be more
Power distribution give weak user, greatly improve cell edge user throughput, thus enhance Cell Edge User experience and
Service quality maintains the fairness of system user.
Still there are many embodiment, all technical sides formed using equivalents or equivalent transformation by the present invention
Case is within the scope of the present invention.
Claims (7)
1. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information, it is characterised in that: this method packet
Include following steps:
S101: for single cell multi-user's NOMA downlink wireless communication system, all users send ascending pilot frequency, base station to base station
It receives the pilot tone that user terminal is sent and carries out channel estimation, obtain the imperfect channel state information of all users；
S102: it according to the imperfect channel state information for all users that base station in step S101 is got, is selected using user
Scheme screens user, and the user group cluster screened；
S103: it using the imperfect channel state information of screened user, calculates and sends pre-coding matrix, according to institute in cluster
There is the total capacity maximization principle of user, in ensuring system under the constraint of user fairness, calculate the optimal power contribution factor,
Then base station sends signal according to the optimal power contribution result found out, carries out signal transmission.
2. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 1,
It is characterized by:
In S101 step, which includes a base station and multiple users, and base station sends superposition letter to user terminal
Number, transmitting terminal uses the regularization force zero precoding based on imperfect channel state information, while receiving end utilizes stepwise derivation
Technology for eliminating eliminates interference and inter-user interference between cluster；Assuming that there is N root antenna in base station, user integrates as Q, wherein the shared M use of Q
Family, each user's single antenna, M > > 2K, wherein > > expression are much larger than, and the total number of users of system call is 2K, and is met
2K > N, the uplink pilot sequence that base station utilizes user to send, estimates channel, acquired imperfect channel state letter
Breath indicates are as follows:
Wherein, m ∈ [1,2 ..., M],Indicate the estimation channel between base station and m-th of user, vector magnitude is N × 1, Tm
It is the certainty nonnegative definite matrix of N × N, indicates the transmission correlation matrix of antenna for base station,xm
And vmAll indicate that the multiple Gauss random vector of N × 1, element all obey 0 mean value, the independent same distribution of variance 1/N, τmFor channel
Estimate parameter, indicates the accuracy of channel estimation, τm∈ (0,1), ∈ expression belong to,The square root calculation of representing matrix.
3. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 2,
It is characterized by: user sends ascending pilot frequency to base station, channel is estimated according to the known pilot that user sends in base station, it is assumed that every
The uplink pilot sequence length that a user sends is Tt, the uplink transmission power of receiver is pu, uplink and downlink
White complex gaussian noise power is all σ2, calculate channel estimation parameterWherein ρuFor signal noise ratio of upper link, and
4. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 1,
It is characterized by:
In S102 step, specific step is as follows for user's selection scheme:
Step S2a: defining u (t) indicates t-th of user, wherein t ∈ [1,2 ... M], obtains the non-ideal communication channel shape of M user
State information is respectivelySubscript ()HThe conjugate transposition operation of representing matrix；
Step S2b: collect from user and randomly choose K user in Q, be defined as u (1) ..., u (K), U={ u (1) ..., u (K) }
Indicate that the user for randomly choosing K user collects, the large-scale fading factor of user is b in system1And b2, and b1> b2, i is initial
1 is turned to, user u (i) selects pairing user from remaining users collection S, it defines remaining users collection S={ u (K+1) ..., u (M) },
M-K user is shared, the following conditions need to be met:
Wherein, j ∈ [K+1 ... M], m0For the channel correlation coefficient of user u (i) and user u (j),For estimating for user u (j)
Channel is counted, r is Fixed constant.J from K+1, successively bring into m (i, j) by value, calculates m (i, j) and channel correlation coefficient m0Into
Row compares, if the calculated result of m (i, j) is less than or equal to m0,Step S2c is executed, is calculated if j value substitutes into m (i, j)
Result be greater than m0, andExecute step S2d；
Step S2c: by j continuation, successively value is brought into m (i, j) backward, calculates the result and channel correlation coefficient m of m (i, j)0
Compare, until finding the j of the condition of satisfaction；
Step S2d: user u (i) and user u (j) successful matching, user u (i) and user u (j) are combined into one group of formation one
Cluster, j stop exploitation, execute step S2e；
Step S2e: for the user u (i) and u (j) of successful matching, estimate that channel matrix is respectivelyWithThenIndicate u
It (i) is the strong user in same group of cluster,It indicates that u (j) is the weak user in same group of cluster, executes step S2f；
Step S2f: removing the user u (j) with user u (i) pairing, i.e. user u (j) is no longer participate in the pairing of remaining users, holds
Row i=i+1- executes step S2b, continues remaining users pairing in user's set U, until users all in set U have matched
At.
5. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 1,
It is characterized by:
In S103 step, the K cluster constituted using screened handy family, wherein each cluster there are two user, obtain base station and
Non-ideal estimation channel in k-th of cluster between i-th of userVector magnitude is 1 × N, wherein [1,2] i ∈, k ∈
[1 ..., K],WithThe non-ideal estimation channel vector of strong user and weak user in respectively k-th of cluster, it is final to obtain
The non-ideal estimation channel matrix of strong user in all clustersMatrix size is K × N.
6. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 1,
It is characterized by:
In S103 step, transmitting terminal uses the precoding of regularization force zero, calculates regularization parameterWherein ρ is noise
Than, andP is downlink transmission power, σ2For the white complex gaussian noise power of downlink user,N is base station day
Line number, L is system user sum, according to the non-ideal estimation channel matrix of strong userWith regularization parameter β, calculateWherein ()-1The inverse operation of representing matrix defines the transmission pre-coding matrix that G is N × K, prelists
Code matrix is limited by power is sent, and meets tr (GGH)≤NP, P > 0, tr () representing matrix asks mark operation, according to hair
The constraint condition of pre-coding matrix is sent, is calculatedWherein ε indicates the normalizing for meeting base station transmitting power constraint
Change parameter, calculated according to front to send pre-coding matrix as a result, calculating:
Wherein INFor the unit matrix of N × N.
7. a kind of multi-user's NOMA downlink power distributing method of imperfect channel state information according to claim 1,
It is characterized by:
In S103 step, become with the power allocation factor for organizing user as the imperfect channel state information of user changes
Change, therefore calculate the optimal power contribution factor, realizes optimal dynamic power distribution, the specific steps are as follows:
Step S3a: assuming that the real channel in base station and k-th of cluster between i-th of user isVector magnitude is 1 × N, andWhereinFor the multiple Gauss random vector of 1 × N, element meets 0 mean value, and the independently same of variance 1/N is divided
Cloth, TK, iIt is the certainty nonnegative definite matrix of N × N.To obtain the real channel vector of weak user in k-th of clusterAccording to
Pre-coding matrix G is sent, the effective power of user in k-th of cluster is calculatedWherein Ex{f
(x) } it indicates to ask expectation to f (x) about variable x, | |2Indicate the square operation of vector mould；
Step S3b: the real channel vector of weak user in k-th of cluster is utilizedWith transmission pre-coding matrix G, calculateWherein UBFor interference of other clusters to k-th of cluster in system, all clusters
Strong user estimates channel matrixRemove strong user in k-th of cluster and estimates channel vectorIt obtainsMatrix size is (K-
1)×N；
Step S3c: according to the effective power U of user in k-th of clusterAU is interfered between clusterB, calculate in k-th of cluster strong user most
Excellent power allocation factor:
Wherein,ε indicates the normalization ginseng for meeting base station transmitting power constraint
Number, ρ is signal-to-noise ratio, andP is total emission power, and the optimal power allocation factor of weak user is in k-th of cluster
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