CN113922849B - User grouping and power distribution method under millimeter wave MIMO-NOMA system - Google Patents

User grouping and power distribution method under millimeter wave MIMO-NOMA system Download PDF

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CN113922849B
CN113922849B CN202111267829.4A CN202111267829A CN113922849B CN 113922849 B CN113922849 B CN 113922849B CN 202111267829 A CN202111267829 A CN 202111267829A CN 113922849 B CN113922849 B CN 113922849B
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power distribution
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CN113922849A (en
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王小明
高金玉
蒋锐
徐友云
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Nanjing University of Posts and Telecommunications
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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
    • H04B7/0426—Power distribution
    • H04B7/0434—Power distribution using multiple eigenmodes
    • H04B7/0443—Power distribution using multiple eigenmodes utilizing "waterfilling" technique
    • 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
    • H04B7/0452—Multi-user MIMO systems
    • 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
    • H04B7/0617—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 for beam forming
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    • Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
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    • Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention discloses a user grouping and power distribution method under a millimeter wave MIMO-NOMA system based on message transmission, which comprises the following steps: (1) and the base station acquires the downlink channel information of the user and carries out analog precoding. (2) And with the aim of maximizing the weighting and the rate of the system, a user grouping algorithm based on a minimum sum message transfer strategy is provided, and the matching result of the user and the radio frequency chain is obtained. (3) Zero-forcing digital precoding is used to suppress inter-group interference, and a low-complexity power allocation method is adopted to maximize the weighting and rate of the system. The invention can effectively improve the spectrum efficiency of the system, fully utilizes the hardware resources of the system and can be used for multi-user data transmission.

Description

User grouping and power distribution method under millimeter wave MIMO-NOMA system
Technical Field
The invention belongs to the field of wireless communication, and particularly relates to a user grouping and power distribution method under a millimeter wave MIMO-NOMA system.
Background
With the explosive growth of connected devices in communication systems, the available radio resources become extremely scarce, which presents an unprecedented challenge to the development of fifth generation (5G) wireless communications. In order to alleviate the shortage of radio resources and increase the transmission rate of communication, a direct method is to use a higher frequency band resource. For example, millimeter wave (mmWave) band from 30GHz to 300GHz, which has been regarded as one of the technologies having great potential because millimeter waves can provide a wider wireless band.
mmWave also promotes the application of large-scale multiple-input multiple-output (MIMO) technology, realizes spatial multiplexing and diversity gain, and overcomes severe propagation loss. Multiple access techniques are of great interest for supporting multi-user communication in wireless cellular networks.
For mmWave communication using conventional Orthogonal Multiple Access (OMA) scheme, e.g., time division multiple access, code division multiple access, orthogonal frequency division multiple access, and space division multiple access, the number of users arriving at a data stream in the same time-frequency code space resource block is 1, so the total number of users served is limited, not exceeding the number of radio frequency chains in each resource block. The reduction of radio frequency chains will limit the number of connections, and hence mmWave-MIMO is difficult to support a huge number of users. To address this problem, NOMA can be introduced into mmWave-MIMO to serve more users than RF chains. Compared to conventional OMA technology, NOMA technology is considered a promising multiple access technology in 5G wireless networks due to its higher spectrum utilization and ability to support large-scale connections.
In particular, NOMA superimposes multi-user signals using the same time/frequency resources at the transmitter, and decodes each user's signal at the receiver through Successive Interference Cancellation (SIC). In this way, the number of simultaneously supported users can be increased at the cost of introducing controllable inter-user interference. Therefore, combination of NOMA with mmWave-MIMO is expected to greatly increase the number of connections.
Through a search of documents in the prior art, b.wang et al published a document entitled "Spectrum and Energy-Efficient beam space MIMO-NOMA for Millimeter-Wave Communications" in IEEE Journal on Selected Areas in Communications, vol.35, No.10, pp.2370-2382 (IEEE Communications option Journal, october 2017, vol.35, No.10, pp.2370-2382), which proposes a new transmission scheme of beam-domain multiple-input multiple-output (MIMO-NOMA) that breaks through the limitation that the number of users must be smaller than the number of radio frequency chains, and proposes an iterative power allocation algorithm to achieve optimal power allocation for users based on an equivalent channel hybrid precoding scheme. Unfortunately, this document does not suggest a specific user grouping method. In addition, the search shows that the patent entitled "a precoding and power allocation joint optimization method" (publication number: 109617583A) is applied by Jiangxuchun et al in 2019, and the method utilizes a codebook, constructs a final precoding matrix by calculating a selection factor of each code word, and jointly solves the optimal power allocation factor of each user. However, each rf chain in this method can only serve two users, and is not suitable for the case where the number of users is much larger than the number of rf chains.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to overcome the defects of the prior art and provides a user grouping method based on message passing under a millimeter wave MIMO-NOMA system. The invention provides a user grouping algorithm based on a minimum sum message passing strategy so as to maximize the weighting sum rate of a system. Zero-forcing digital precoding is utilized to suppress inter-group interference, and a low-complexity power distribution method is provided, so that the weighting and the rate of a system are maximized, and the spectral efficiency of the system can be effectively improved.
The technical scheme is as follows: the invention provides a user grouping and power distribution method under a millimeter wave MIMO-NOMA system based on message transmission, which comprises the following steps:
step one, a base station acquires downlink channel information of a user and carries out analog precoding;
step two, with the goal of maximizing the weighting and the rate of the system, a user grouping algorithm based on a minimum sum message transmission strategy is provided, and the matching result of the user and the radio frequency chain is obtained;
and step three, according to the user groups obtained in the step two, utilizing zero-forcing digital precoding to inhibit the interference between the groups, and adopting a power distribution method to maximize the weighting sum rate of the system.
Preferably, in the first step, the method for the base station to obtain the downlink channel information of the user and perform the analog precoding includes: obtaining the array response vector of the arrival angle of the user k and the array response vector of the departure angle at the base station to obtain the arrival angle of the ith non-line-of-sight path of the user k in the simulated precoding mode
Figure BDA0003325765720000021
Is expressed as:
Figure BDA0003325765720000022
Figure BDA0003325765720000023
indicating the departure angle of the l-th path at the base station
Figure BDA0003325765720000024
Wherein L is the L-th non-line-of-sight path, L is greater than or equal to 0 and less than or equal to L, and L is the total number of the non-line-of-sight paths; n is a radical ofUEThe number of antennas for the user; n is a radical ofBSThe number of antennas of the base station; the analog precoding at user k and radio frequency chain r is represented as:
Figure BDA0003325765720000031
Figure BDA0003325765720000032
further obtaining an effective channel of the user k on the radio frequency chain r:
Figure BDA0003325765720000033
wherein the content of the first and second substances,
Figure BDA0003325765720000034
a downlink channel matrix for user k;
the effective channel vector of user k
Figure BDA0003325765720000035
Expressed as:
Figure BDA0003325765720000036
preferably, the specific method of step two is as follows: the number of radio chains in a hybrid system is limited, given that each user can only be assigned one radio chain, i.e.
Figure BDA0003325765720000037
The number of users connected to each radio frequency chain is limited, i.e.
Figure BDA0003325765720000038
Wherein M isrIs the number of users allowed to access the radio frequency chain, xk,rMatching to the radio frequency chain r, x for user k 1k,r0 is that user k is not matched to the radio chain r; users are assigned to corresponding radio frequency chains to convert the radio frequency chains into a minimum cost problem, xk,rDefining function node W as a variabler(x) And Ck(x)：
Figure BDA0003325765720000039
Figure BDA00033257657200000310
Wherein omegak,r(xk,r)＝wk,rRk,r(xk,r) Represents the weighted sum rate of the system, where wk,rFor the weighting factor, K is the total number of users, and the problem of solving the weighted sum rate maximization of the system is expressed as:
Figure BDA0003325765720000041
according to the min-sum message passing paradigm, we consider the general function f (x)1,…,xJ) From variable node xjTo a generic function node flThe messages of (1) are:
Figure BDA0003325765720000042
wherein J represents the number of variable nodes, and L represents the number of function nodes;
from a generic function node flTo variable node xjThe messages of (1) are:
Figure BDA0003325765720000043
then the slave function node Wr(x) To variable node xk,rThe message of (1) is:
Figure BDA0003325765720000044
slave function node Ck(x) To variable node xk,rThe message of (a) is represented as:
Figure BDA0003325765720000045
thereby obtaining the matching result x of the user and the radio frequency chaink,rComprises the following steps:
Figure BDA0003325765720000046
τk,rfor each user and node edge of the radio frequency chain:
τk,r＝μk,r+μr,k (13)
wherein the content of the first and second substances,
Figure BDA0003325765720000047
respectively represent nodes W from a functionr(x) And Ck(x) To normalize the message.
Preferably, according to the user groups obtained in step two, zero-forcing digital precoding is used to suppress inter-group interference, and a power allocation method is used to maximize the weighting and rate of the system, and the specific method is as follows:
when the weight satisfies the condition
Figure BDA0003325765720000048
Or
Figure BDA0003325765720000049
Under the condition of (1), performing power distribution by an inter-group weighted water injection power distribution algorithm;
under the condition that the weight is not satisfied, an iterative algorithm is adopted, and the optimal power distribution solving method is obtained by updating the weight factor and the auxiliary variable:
firstly, Lagrange dual conversion is applied to obtain an auxiliary variable Yk,rOptimum value of (2)
Figure BDA0003325765720000051
Figure BDA0003325765720000052
Wherein, the first and the second end of the pipe are connected with each other,
Figure BDA0003325765720000053
the final matching result of the user and the radio frequency chain is obtained; p is a radical of formulak,rAllocated power for users, drDigital precoding representing a group of NOMA associated with a radio frequency chain r, and dr||2＝1；σ2Is the noise power;
secondly, secondary conversion is applied on the basis to obtain an auxiliary variable zk,rOptimum value of (2)
Figure BDA0003325765720000054
Figure BDA0003325765720000055
Finally, introducing a Lagrange multiplier lambda to obtain a power distribution factor pk,rOptimum value of (2)
Figure BDA0003325765720000056
Figure BDA0003325765720000057
The beneficial effects are that: compared with the prior art, the technical scheme of the invention has the following beneficial technical effects:
the invention is suitable for a millimeter wave MIMO-NOMA system, completes grouping of users by using a minimum sum message transmission method, takes the maximum weighting and rate of the users as the target, can effectively improve the frequency spectrum efficiency of the system, fully utilizes the hardware resources of the system, and can be used for multi-user data transmission.
Drawings
FIG. 1 is a schematic diagram of a millimeter wave MIMO-NOMA system in an embodiment of the present invention;
fig. 2 is a flowchart of a user grouping method in a millimeter wave MIMO-NOMA system based on message passing in an embodiment of the present invention;
FIG. 3 is a message passing factor graph in an embodiment of the present invention;
fig. 4 is a diagram illustrating a comparison of the weighting and rate of the random access scheme with the number of iterations in the message-passing user grouping scheme according to an embodiment of the present invention;
FIG. 5 is a graph illustrating the weight sum rate versus signal-to-noise ratio achieved by the proposed mmWave NOMA scheme and mm Wave OMA scheme in an embodiment of the present invention;
fig. 6 is a schematic diagram of a comparison between the mmWave NOMA scheme and the mmWave OMA scheme, which are implemented in the embodiment of the present invention, and the weighting and the rate as the signal-to-noise ratio under different radio frequency chains and different numbers of users.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but the present invention is not limited thereto. Examples
In the present embodiment, as shown in fig. 1, a single-cell downlink millimeter wave MIMO-NOMA system is provided, and the system conditions are assumed as follows: base station is equipped with NBSRoot transmitting antenna, NRFAnd the radio frequency chains serve K multi-antenna users. Wherein N isBS＞＞NRF。
The invention provides a user grouping and power distribution method under a millimeter wave MIMO-NOMA system based on message transmission, which comprises the following steps:
the method comprises the following steps: the base station acquires the downlink channel information of the user,a digital precoder of
Figure BDA0003325765720000061
And equal power distribution
Figure BDA0003325765720000062
Analog precoding is performed.
In the first step, the base station obtains the downlink channel information of the user, and the method for performing the analog precoding comprises the following steps: obtaining the arrival angle of the l-th non-line-of-sight path at the user k by obtaining the array response vector of the arrival angle of the user k and the array response vector of the departure angle at the base station to obtain the simulated precoding
Figure BDA0003325765720000063
Is expressed as:
Figure BDA0003325765720000064
indicating the departure angle of the l-th path at the base station
Figure BDA0003325765720000065
Wherein L is the L-th non-line-of-sight path, L is greater than or equal to 0 and less than or equal to L, and L is the total number of the non-line-of-sight paths; n is a radical ofUEThe number of antennas for the user; n is a radical ofBSThe number of antennas of the base station; the analog precoding at user k and radio frequency chain r is represented as:
Figure BDA0003325765720000066
Figure BDA0003325765720000071
further obtaining the effective channel of the user k on the radio frequency chain r:
Figure BDA0003325765720000072
wherein，
Figure BDA0003325765720000073
A downlink channel matrix for user k;
the effective channel vector of user k
Figure BDA0003325765720000074
Expressed as:
Figure BDA0003325765720000075
step two: with the goal of maximizing the weighting and rate of the system, we propose a user grouping algorithm based on the minimum sum message passing strategy to obtain the matching result of the user and the radio frequency chain.
The specific method of the second step is as follows: the number of radio chains in a hybrid system is limited, given that each user can only be assigned one radio chain, i.e.
Figure BDA0003325765720000076
The number of users connected to each radio frequency chain is limited, i.e.
Figure BDA0003325765720000077
Wherein M isrIs the number of users allowed to access the radio frequency chain, xk,rMatching to the radio frequency chain r, x for user k 1k,r0 is that user k is not matched to the radio frequency chain r; users are assigned to corresponding radio frequency chains to convert the radio frequency chains into a minimum cost problem, xk,rDefining function node W as a variabler(x) And Ck(x)：
Figure BDA0003325765720000078
Figure BDA0003325765720000079
Wherein the content of the first and second substances,Ωk,r(xk,r)＝wk,rRk,r(xk,r) Represents the weighted sum rate of the system, where wk,rFor the weighting factor, K is the total number of users, and the problem of solving the weighted sum rate maximization of the system is expressed as:
Figure BDA00033257657200000710
according to the min-sum message passing paradigm, we consider the general function f (x)1,…,xJ) From variable node xjTo a generic function node flThe messages of (1) are:
Figure BDA0003325765720000081
wherein J represents the number of variable nodes, and L represents the number of function nodes;
from a generic function node flTo variable node xjThe messages of (1) are:
Figure BDA0003325765720000082
then the slave function node Wr(x) To variable node xk,rThe message of (2) is:
Figure BDA0003325765720000083
slave function node Ck(x) To variable node xk,rThe message of (a) is represented as:
Figure BDA0003325765720000084
thereby obtaining the matching result x of the user and the radio frequency chaink,rComprises the following steps:
Figure BDA0003325765720000085
τk,rfor each user and node edge of the radio frequency chain:
τk,r＝μk,r+μr,k (13)
wherein the content of the first and second substances,
Figure BDA0003325765720000086
respectively represent nodes W from a functionr(x) And Ck(x) To normalize the message.
Step three: and according to the user groups obtained in the step two, utilizing zero-forcing digital pre-coding to suppress the inter-group interference, and adopting a power distribution method to maximize the weighting and the rate of the system, wherein the specific method comprises the following steps:
when the weight satisfies the condition
Figure BDA0003325765720000087
Or
Figure BDA0003325765720000088
Under the condition of (3), performing power distribution by an inter-group weighted water injection power distribution algorithm;
under the condition that the weight is not satisfied, an iterative algorithm is adopted, and the optimal power distribution solving method is obtained by updating the weight factor and the auxiliary variable: firstly, Lagrange dual conversion is applied to obtain an auxiliary variable Yk,rOptimum value of (2)
Figure BDA0003325765720000089
Figure BDA0003325765720000091
Wherein the content of the first and second substances,
Figure BDA0003325765720000092
the final matching result of the user and the radio frequency chain is obtained; p is a radical ofk,rTo useAllocated power of the users, drDigital precoding representing a group of NOMA associated with a radio frequency chain r, and dr||2＝1；σ2Is the noise power;
secondly, secondary conversion is applied on the basis to obtain an auxiliary variable zk,rOptimum value of (2)
Figure BDA0003325765720000093
Figure BDA0003325765720000094
Finally, introducing a Lagrange multiplier lambda to obtain a power distribution factor pk,rOptimum value of (2)
Figure BDA0003325765720000095
Figure BDA0003325765720000096
In the steps of the above embodiment, simulations are performed in different scenarios, thereby illustrating the beneficial effects of the present invention.
As a result of the simulation fig. 4, which compares the weighted sum rate based on the messaging user grouping scheme and the random access scheme. The graph simulates the change schematic diagram of the system weighting sum rate and the iteration number under the condition that the maximum transmitting power of the base station is 10 dB. Indicating that our proposed messaging user grouping scheme is significantly superior to the random access scheme.
As a simulation result fig. 5, which compares the weight sum rate achieved by the proposed mmWave-NOMA scheme with the mm Wave-OMA scheme with the variation of the signal-to-noise ratio. As can be seen from fig. 5, the proposed method of the present invention has a higher weighting and rate than the algorithm under OMA system, which benefits from that it can serve multiple users in each beam.
As simulation results fig. 6, it compares the implemented weighting sum rate with the variation of the signal-to-noise ratio for different number of rf chains and users in the proposed mm Wave-NOMA scheme and the mm Wave-OMA scheme. As can be seen from the figure, as the number of rf chains and users increases, the implemented weight sum rate also increases. Moreover, the proposed method is higher than the weighted sum rate of the algorithms under OMA systems. The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.

Claims (2)

1. A user grouping and power distribution method under a millimeter wave MIMO-NOMA system based on message passing is characterized by comprising the following steps:
step one, a base station acquires downlink channel information of a user and carries out analog precoding;
step two, with the goal of maximizing the weighting and the rate of the system, a user grouping algorithm based on a minimum sum message transmission strategy is provided, and the matching result of the user and the radio frequency chain is obtained;
thirdly, according to the user groups obtained in the second step, zero-forcing digital precoding is utilized to inhibit interference between groups, and a power distribution method is adopted to maximize the weighting and the speed of the system;
in the first step, the base station obtains the downlink channel information of the user, and the method for performing the analog precoding comprises the following steps: obtaining the simulated precoding by obtaining the array response vector of the arrival angle of the user k and the array response vector of the departure angle at the base station, wherein the arrival angle of the l-th non-line-of-sight path at the user k is
Figure FDA0003652101670000011
Is expressed as:
Figure FDA0003652101670000012
indicating departure angle of the l-th path at the base station
Figure FDA0003652101670000013
Wherein L is the L-th non-line-of-sight path, L is greater than or equal to 0 and less than or equal to L, and L is the total number of the non-line-of-sight paths; n is a radical ofUEThe number of antennas for the user; n is a radical ofBSThe number of antennas of the base station; the analog precoding at user k and radio chain r is represented as:
Figure FDA0003652101670000014
Figure FDA0003652101670000015
further obtaining the effective channel of the user k on the radio frequency chain r:
Figure FDA0003652101670000016
wherein the content of the first and second substances,
Figure FDA0003652101670000017
a downlink channel matrix for user k;
the effective channel vector of user k
Figure FDA0003652101670000018
Expressed as:
Figure FDA0003652101670000019
the specific method of the second step is as follows: the number of radio chains in a hybrid system is limited, given that each user can only be assigned one radio chain, i.e.
Figure FDA0003652101670000021
Number of users connected to each radio frequency chainThe quantity is limited, i.e.
Figure FDA0003652101670000022
Wherein, MrIs the number of users allowed to access the radio frequency chain, xk,rMatching to a radio chain r, x for user k ═ 1k,r0 is that user k is not matched to the radio frequency chain r; users are assigned to corresponding radio frequency chains to convert the radio frequency chains into a minimum cost problem, xk,rDefining function node W as a variabler(x) And Ck(x)：
Figure FDA0003652101670000023
Figure FDA0003652101670000024
Wherein omegak,r(xk,r)＝wk,rRk,r(xk,r) Represents the weighted sum rate of the system, where wk,rFor the weighting factor, K is the total number of users, and the problem of solving the weighted sum rate maximization of the system is expressed as:
Figure FDA0003652101670000025
according to the min-sum message passing paradigm, consider the general function f (x)1,…,xJ) From variable node xjTo a generic function node flThe messages of (1) are:
Figure FDA0003652101670000026
wherein J represents the number of variable nodes, and L represents the number of function nodes;
from a generic function node flTo variable node xjThe messages of (1) are:
Figure FDA0003652101670000027
then the slave function node Wr(x) To variable node xk,rThe message of (1) is:
Figure FDA0003652101670000028
node C of slave functionk(x) To variable node xk,rThe message of (a) is represented as:
Figure FDA0003652101670000029
thereby obtaining the matching result x of the user and the radio frequency chaink,rComprises the following steps:
Figure FDA0003652101670000031
τk,rfor each user and node edge of the radio frequency chain:
τk,r＝μk,r+μr,k (13)
wherein the content of the first and second substances,
Figure FDA0003652101670000032
respectively represent nodes W from a functionr(x) And Ck(x) To normalize the message.
2. The method for grouping users and allocating power in the message-passing-based mm-wave MIMO-NOMA system according to claim 1, wherein zero-forcing digital pre-coding is used to suppress the inter-group interference according to the user grouping obtained in step two, and the power allocation method is used to maximize the weighting and rate of the system, and the specific method is as follows:
when the weight satisfies the condition
Figure FDA0003652101670000033
Or
Figure FDA0003652101670000034
Under the condition of (3), performing power distribution by an inter-group weighted water injection power distribution algorithm;
under the condition that the weight is not satisfied, an iterative algorithm is adopted, and the optimal power distribution solving method is obtained by updating the weight factor and the auxiliary variable:
firstly, Lagrange dual conversion is applied to obtain an auxiliary variable Yk,rOptimum value of (2)
Figure FDA0003652101670000035
Figure FDA0003652101670000036
Wherein the content of the first and second substances,
Figure FDA0003652101670000037
the final matching result of the user and the radio frequency chain is obtained; p is a radical ofk,rAllocated power for users, drDigital precoding representing a group of NOMA associated with a radio frequency chain r, and dr||2＝1；σ2Is the noise power;
secondly, secondary conversion is applied on the basis to obtain an auxiliary variable zk,rOptimum value of (2)
Figure FDA0003652101670000038
Figure FDA0003652101670000039
Finally introducing Lagrange multiplicationSub lambda, resulting in a power distribution factor pk,rOptimum value of (2)
Figure FDA00036521016700000310
Figure FDA0003652101670000041
CN202111267829.4A 2021-10-28 2021-10-28 User grouping and power distribution method under millimeter wave MIMO-NOMA system Active CN113922849B (en)

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