CN113472403B - Power distribution method based on overlapped visual area in super-large-scale MIMO system - Google Patents
Power distribution method based on overlapped visual area in super-large-scale MIMO system Download PDFInfo
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Abstract
The invention discloses a power distribution method based on an overlapped visual area in a super-large scale MIMO system, which comprises the following steps: constructing a super-large scale MIMO downlink wireless transmission system, wherein the wireless transmission system comprises a base station of a super-large scale antenna and a plurality of single antenna user groups, each single antenna user group has a respective visual area, and the visual areas comprise overlapping areas and non-overlapping areas; the base station sends signals to all users by adopting the regularized zero forcing precoding, and calculates the total rate of all users; and calculating to obtain the optimal sending power according to the total rate. Compared with the prior art, the method and the device calculate the total rate expression of the system through the regularized zero-forcing pre-coding, and obtain the optimal sending power of the antenna in the overlapping area through the alternating iteration algorithm, so that the total transmission rate of the system can be improved to the greatest extent, and further, when the optimal sending power of the antenna in the overlapping area is zero, the energy efficiency of the system can be improved.
Description
Technical Field
The invention relates to a power distribution method based on an overlapped visual area in a super-large-scale MIMO system, belonging to the technical field of wireless communication.
Background
In recent years, with the explosive increase of data transmission services and the number of users, the MIMO technology cannot meet the technical requirements of a new generation of mobile communication system. Under such circumstances, various communication technologies have been proposed and developed, and a very large-scale mimo (Multiple Input Multiple output) system is one of the emerging communication technologies.
However, the very large-scale MIMO system may cause spatial non-stationarity of the system due to its huge antenna size. This is because the distance between the base station and scatterers or users is less than the rayleigh distance, the far field propagation assumption does not hold, and users can only see a portion of the base station antenna array due to the energy-limited scattering propagation path and the oversized array. The portion of the base station antenna array that is seen by the user is called the Visibility Region (VR). Each user has its specific VR, and the locations of VRs for different users may be separate, partially overlapping, or fully overlapping, depending on the surrounding environment and the relative location of the users along the antenna array. How to perform beamforming and power allocation on overlapping VR users of users is a problem that needs to be solved urgently at present.
Disclosure of Invention
The invention aims to provide a power distribution method based on an overlapped visual area in a super-large-scale MIMO system, which effectively improves the total transmission rate and the system energy efficiency of the system and has important practical significance for the development of the super-large-scale MIMO wireless communication system.
In order to achieve the above object, the present invention provides a power allocation method based on overlapping visual areas in a very large scale MIMO system, comprising the following steps:
s1, constructing a super-large scale MIMO downlink wireless transmission system, wherein the wireless transmission system comprises a super-large scale antenna base station and a plurality of single antenna user groups, each single antenna user group has a respective visual area, and the visual areas comprise overlapping areas and non-overlapping areas;
s2, the base station sends signals to all users by adopting the regular zero forcing pre-coding, and the total rate of all users is calculated;
and S3, calculating to obtain the optimal sending power according to the total rate.
As a further improvement of the invention, the base station is defined to have N antennas, the single-antenna user group is provided with T groups, and the tth single-antenna user group has K t A single antenna user, wherein, when t is 1, the visual area of the 1 st single antenna user group is defined by N 1 Root proprietary antenna and N 12 The visible area of the Tth single-antenna user group is composed of N when T is T T Root proprietary antenna and N (T-1)T A root crossover antenna; when 1 is<t<T, the visual area of the tth single-antenna user group is N t Root proprietary antenna and N (t-1)t +N t(t+1) Root-interleaved antenna assembly, N t Number of antennas of a particular area, N (t-1)t 、N t(t+1) The number of antennas in the overlap area.
As a further improvement of the present invention, the dedicated channel of the tth single-antenna user group is modeled as:
modeling left overlapped channels of the t-1 th single-antenna user group and the t-1 th single-antenna user group as follows:
modeling a right overlapping channel of the tth single-antenna user group and the t +1 th single-antenna user group as follows:
wherein,and channel vectors respectively representing a dedicated channel, a left overlapping channel, and a right overlapping channel; r t,k 、R (t-1)t,k And R t(t+1),k A correlation matrix representing the transmit antennas, having respective dimensions N t ×N t 、N (t-1)t ×N (t-1)t And N t(t+1) ×N t(t+1) ;x t,k 、x (t-1)t,k And x t(t+1),k Representing the random components of the channel, subject to a mean of 0 and a variance of 0, respectivelyAndcomplex gaussian distribution.
As a further improvement of the present invention, the S2 includes the following steps:
s21, calculating a precoding matrix of the single-antenna user group by adopting the regularized zero-forcing precoding;
s22, calculating the signal-to-dryness ratio gamma of the users in the 1 st single-antenna user group 1,k ;
S23, calculating the signal-to-dryness ratio gamma of users in the Tth single-antenna user group T,k ;
S24, calculating the signal-to-dryness ratio gamma of the users in the t single-antenna user group t,k Wherein 1 is<t<T。
As a further improvement of the present invention, said S21 includes: defining precoding matrixes of a left overlapped channel, a special channel and a right overlapped channel of the tth single-antenna user group as G respectively (t-1)t 、G t And G t(t+1) Said G is (t-1)t 、G t And G t(t+1) Are respectively of size N (t-1)t ×(K t-1 +K t )、K t ×K t And K t(t+1) ×(K t +K t+1 ) According to said regularized zero-forcing precoding, left overlap channel H (t-1)t Private channel H t And the right overlapping channel H t(t+1) Of the precoding matrix G (t-1)t 、G t And G t(t+1) Can be represented by:
wherein, when t is 1, G (t-1)t Absent, when T ═ T, G t(t+1) In the absence of the presence of the agent,represents N i An identity matrix of dimensions; w i Representing a transition matrix; alpha is alpha i Representing a regularization parameter; xi i Representing a power scaling factor; i ═ t-1) t, t, t (t + 1);
the power scaling factor xi i The specific expression of (A) is as follows:
wherein, P (t-1)t 、P t And P t(t+1) Respectively, the transmission power of the corresponding antenna.
As a further improvement of the present invention, the S22 includes: the signal-to-interference-and-noise ratio of user k in the 1 st single-antenna user group is:
wherein σ 2 Is a noise term; s 1,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S 1,k 、Andare respectively:
wherein, a 1,k 、b 1,k 、c 1,k 、d 1,k 、e 1,k 、f 1,k And l 1,k The specific expressions of (a) are respectively:
as a further improvement of the present invention, said S23 includes: the signal-to-interference-and-noise ratio of user k in the tth single-antenna user group is:
wherein σ 2 Is the noise term, S T,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S T,k 、Andare respectively:
wherein, a T,k 、b T,k 、c T,k 、d T,k 、e T,k 、f T,k And l T,k The specific expressions of (a) are respectively as follows:
as a further improvement of the present invention, the S24 includes: the signal-to-interference-and-noise ratio of the user k in the tth single-antenna user group is as follows:
wherein σ 2 Is the noise term, S t,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S t,k 、Andare respectively:
wherein, a t,k 、b t,k 、c t,k 、d t,k 、e t,k 、f t,k 、i t,k 、j t,k 、l t,k 、m t,k 、n t,k 、o t,k 、p t,k And q is t,k The specific expressions of (a) are respectively as follows:
as a further improvement of the invention, the total rate R of all users sum The expression of (a) is:
as a further improvement of the present invention, S3 specifically is:
s31, defining a total power P sent by the base station, where the total power P is:
P 1 +P 12 +P 23 +…+P T-1 +P (T-1)T +P T when P is equal to P, then P T =P-P 1 -P 12 -…-P (T-1)T A 1 is to P T Total rate expression R taken into all users sum Obtaining a new total rate expression
S32, defining the power distribution scheme asInitialization iteration times S, population scale I and optimal power distribution scheme
S33、Subject to a uniform random distribution of 0 to 1, generating P T >Scheme 0The optimal transmit power is calculated as:
The invention has the beneficial effects that: the invention calculates the total rate expression of the system by the regularized zero-forcing pre-coding, obtains the optimal transmitting power of the antenna in the overlapping area by the alternating iteration algorithm, and ensures that the total transmission rate of the system can be improved to the greatest extent.
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FIG. 1 is a flow chart of a power allocation method based on overlapping visual areas in a very large scale MIMO system according to the present invention.
Fig. 2 is a model configuration diagram of a MIMO wireless transmission system in the present invention.
Fig. 3 is a model structure diagram of a preferred embodiment of the MIMO wireless transmission system shown in fig. 2.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
Referring to fig. 1, the present invention provides a power allocation method based on overlapping visual areas in a very large-scale MIMO system, which depends on the distribution of the visual areas of users and maximizes the total transmission rate of all users in the system under the condition of satisfying the condition that the total power of the system is not changed, and specifically includes the following steps:
s1, constructing a super-large scale MIMO downlink wireless transmission system, wherein the wireless transmission system comprises a base station of a super-large scale antenna and a plurality of groups of single-antenna users, the plurality of groups of single-antenna users have respective visual areas, and the visual areas comprise overlapping areas and non-overlapping areas.
Referring to FIG. 2, a base station is defined to have N antennas, a single antenna user group is defined to have T groups, and a tth single antenna user group has K t A single antenna user, wherein when t is 1, the visible area of the 1 st single antenna user group is defined by N 1 Root proprietary antenna and N 12 The visible area of the Tth single-antenna user group is composed of N when T is T T Root proprietary antenna and N (T-1)T A root crossover antenna; when 1 is<t<T, the visual area of the tth single-antenna user group is N t Root proprietary antenna and N (t-1)t +N t(t+1) Root-interleaved antenna assembly, N t Number of antennas, N, of the exclusive area (t-1)t 、N t(t+1) Number of antennas in overlapping area, where N ij (i ≠ j) represents the number of antennas in the overlapping area of the single-antenna user group i and the single-antenna user group j.
The dedicated channel for the tth single antenna user group is modeled as:wherein,representing a dedicated channel, R t,k Representing the transmit antenna correlation matrix, R t,k Dimension of (A) is N t ×N t ,x t,k Representing the random component of the channel, and obeying a mean of 0 and a variance ofComplex gaussian distribution.
Single day of t-1The left overlapping channel modeling for the linear user group and the tth single-antenna user group is:wherein,a channel vector, R, representing the left overlapping channel (t-1)t,k Representing the transmit antenna correlation matrix, R (t-1)t,k Dimension of (A) is N (t-1)t ×N (t-1)t ,x (t-1)t,k Represents the random component of the channel and obeys a mean of 0 and a variance ofComplex gaussian distribution.
The right overlapping channel of the tth single-antenna user group and the t +1 th single-antenna user group is modeled as:wherein,a channel vector, R, representing the left overlapping channel t(t+1),k Representing the transmit antenna correlation matrix, R t(t+1),k Dimension of (A) is N t(t+1) ×N t(t+1) ,x t(t+1),k Represents the random component of the channel and obeys a mean of 0 and a variance ofComplex gaussian distribution.
In addition to this, the present invention is,represents the square root operation of the matrix, (g) H Denotes the conjugate transpose operation of a matrix, where g denotes x in the preceding formula t,k 、R t,k 、x (t-1)t,k 、R (t-1)t,k 、x t(t+1),k Or R t(t+1),k Of course, in other embodiments, the mathematics referred to for gThe formula or symbol is not limited as long as the formula is satisfied in the form ofOr (g) H And (4) finishing.
S2, the base station sends signals to all users by using the regular zero-forcing precoding, and calculates the total rate of all users, specifically:
and S21, calculating precoding matrixes of all users by adopting the regularized zero-forcing precoding.
Defining precoding matrixes of a left overlapped channel, a special channel and a right overlapped channel of the tth single-antenna user group as G respectively (t-1)t 、G t And G t(t+1) And G is (t-1)t 、G t And G t(t+1) Respectively is of size N (t-1)t ×(K t-1 +K t )、N t ×K t And N t(t+1) ×(K t +K t+1 ) Wherein, when t is 1, G (t-1)t An item is not present; when T is T, G t(t+1) An item is not present.
Left overlap channel H according to regularized zero-forcing precoding (t-1)t Private channel H t And the right overlapping channel H t(t+1) Of the precoding matrix G (t-1)t 、G t And G t(t+1) Can be represented by:
wherein,represents N i An identity matrix of dimensions; w i Representing a transition matrix; alpha is alpha i Representing a regularization parameter; xi shape i Represents a power scaling factor, where i ═ t-1) t, t, t (t + 1);
power scaling factor xi i The specific expression of (A) is as follows:
wherein, P (t-1)t 、P t And P t(t+1) Respectively, the transmission power of the corresponding antenna.
S22, calculating the signal-to-dryness ratio gamma of the user k in the 1 st single-antenna user group 1,k 。
The signal-to-noise-and-interference ratio for user k in the 1 st single-antenna user group is:
wherein σ 2 Is the noise term, S 1,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S 1,k 、Andare respectively:
wherein, a 1,k 、b 1,k 、c 1,k 、d 1,k 、e 1,k 、f 1,k And l 1,k The specific expressions of (a) are respectively:
wherein,(g) [k] in order to remove the new matrix formed by the k-th row of the original matrix, g is referred to as H in the formula, however, in other embodiments, the formula referred to by g is not limited as long as the formula is satisfied and has the form of (g) [k] And (4) finishing.
S23, calculating the signal-to-dryness ratio gamma of the user k in the Tth single-antenna user group T,k
The signal-to-noise-and-interference ratio of user k in the tth single-antenna user group is:
wherein σ 2 Is the noise term, S T,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S T,k 、Andare respectively:
wherein, a T,k 、b T,k 、c T,k 、d T,k 、e T,k 、f T,k And l T,k The specific expressions of (a) are respectively as follows:
s24, calculating the signal-to-dryness ratio gamma of the user k in the tth single-antenna user group t,k 。
The signal-to-noise-and-interference ratio of user k in the tth single-antenna user group is:
wherein σ 2 Is a noise term; s t,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S t,k 、Andare respectively:
wherein, a t,k 、b t,k 、c t,k 、d t,k 、e t,k 、f t,k 、i t,k 、j t,k 、l t,k 、m t,k 、n t,k 、o t,k 、p t,k And q is t,k The specific expressions of (a) are respectively as follows:
and S3, calculating to obtain the optimal transmission power according to the total rate of all users.
S31, defining the total transmission power of the base station as P, the transmission power satisfies P 1 +P 12 +P 23 +…+P T-1 +P (T-1)T +P T When P is equal to P, then P T =P-P 1 -P 12 -…-P (T-1)T A 1 is to P T Substitution into R sum Expression to obtain new total rate expression
S32, defining the power distribution scheme asOptimal power allocation schemeThe number of initialization iterations is S, and the population size is I.
S33, schemeSubject to a uniform random distribution of 0 to 1, generating such that P T >Scheme 0The optimal transmit power is calculated as:
For convenience of understanding, the following is a preferred embodiment of the invention:
s1, constructing a super-large scale MIMO downlink wireless transmission system, wherein the wireless transmission system comprises a super-large scale antenna base station and a single antenna user, the single antenna user has a visual area, and the visual area comprises an overlapping area and a non-overlapping area.
In this embodiment, the users with single antennas are divided into two groups, and the users with two groups of single antennas have an overlapping region and a non-overlapping region, but of course, in other embodiments, the users with single antennas may be divided into S groups (S ≧ 2), as long as the purpose of having the overlapping region and the non-overlapping region for the users with single antennas in S groups can be achieved.
Referring to fig. 3, in the preferred embodiment of the present invention, K single-antenna users are defined and divided into two groups, i.e. a user group a and a user group B, wherein,in group A there is K 1 Each user, B user group has K 2 And (4) users. The base station of the super-large scale antenna comprises N antennas, wherein N are provided 2 The root antenna is in the overlapping area of the A user group and the B user group, and the visual area of the A user group has N 1 +N 2 The visible area of the antenna and the B user group is N 2 +N 3 Root antenna, here, note N 1 +N 2 +N 3 =N,K 1 +K 2 =K。
The super-large scale MIMO downlink wireless transmission system comprises three channels, wherein N is 1 Channel H between root antenna and A user group 1 、N 3 Channel H between root antenna and B user group 3 And N 2 Channel H between root antenna and A and B group users 2 The three channels are modeled as:
wherein,representing respective channel vectors, H 1 Is K 1 ×N 1 Matrix of (H) 2 Is KxN 2 Matrix of H 3 Is K 2 ×N 3 The matrix of (a) is a matrix of (b), T i,k where i is 1,2,3 denotes a transmit antenna correlation matrix, T i,k The dimensions of i ═ 1,2 and 3 are N 1 ×N 1 ,N 2 ×N 2 ,N 3 ×N 3 ;x i,k Where i is 1,2,3 denotes the random component of the channel and obeys a mean of 0 and a variance of 0, respectivelyAndcomplex gaussian distribution of (a);represents the square root operation of the matrix, (g) H Representing the conjugate transpose operation of a matrix, where g can represent any mathematical symbol or formula, provided that the form of the formula is satisfiedOr (g) H And (4) finishing.
And S2, the base station sends signals to all users by adopting the regular zero forcing precoding, and the total rate of all users is calculated.
And S21, calculating a precoding matrix by adopting the regularized zero-forcing precoding (RZF precoding).
Let G 1 、G 2 And G 3 Respectively is of size N 1 ×K 1 、N 2 X K and N 3 ×K 2 The matrix of (a) represents the precoding matrix of the three channels, respectively;
precoding according to RZF, G 1 、G 2 And G 3 Expressed as:
wherein,represents N 1 An identity matrix of dimensions;representing a transition matrix; alpha is alpha i I ═ 1,2,3 denote regularization parameters; xi i And i is 1,2 and 3, which represent power scaling factors, and the specific expression is as follows:
wherein, P 1 、P 2 And P 3 Each represents the transmission power of a three-segment antenna.
S22, calculating the signal-to-dryness ratio gamma of the user k in the user group A 1,k ;
The expression of the signal-to-dryness ratio of the user k in the user group A is as follows:
wherein σ 2 Is a noise term; s 1,k Represents a valid signal term;representing an intra-group interference term;and expressing the out-of-group interference terms, wherein the expressions are respectively as follows:
wherein, a 1,k 、b 1,k 、c 1,k 、d 1,k 、e 1,k 、f 1,k And l 1,k The specific expressions of (a) are respectively as follows:
wherein,(g) [k] the new matrix formed by removing the k-th row of the original matrix, where g can represent any mathematical symbol or formula, as long as the formula is satisfied in the form of (g) [k] And (4) finishing.
S23, calculating the signal-to-dryness ratio gamma of the user k in the user group B 2,k 。
The expression of the signal-to-dryness ratio of the user k in the group B users is as follows:
wherein σ 2 Is the noise term, S 2,k A valid signal item is represented which is,the interference terms within the group are represented,and expressing the out-of-group interference terms, wherein the expressions are respectively as follows:
wherein, a 2,k 、b 2,k 、c 2,k 、d 2,k 、e 2,k 、f 2,k And l 2,k The specific expressions of (a) are respectively as follows:
the total rate of all single-antenna users in the user group A and the user group B is as follows:
and S3, calculating the distribution scheme of the transmission power of each part according to the total rate.
S31, defining the total transmitting power of the base station as P, and the transmitting power P of the three-segment antenna N1, N2 and N3 1 、P 2 And P 3 Satisfy P 1 +P 2 +P 3 When P is equal toWherein, P opt Representing the optimum transmit power.
Definition P 3 =P-P 1 -P 2 Will transmit power P 3 Power scaling factor ξ substituted in step S21 3 Medium, new power constraint factorXi Zi 3 Comprises the following steps: apply the new power constraint factor xi 3 Total rate R for single antenna user substitution sum In the middle, a new speed expression is obtained
And S32, calculating a new rate obtained after each iteration.
And S34, determining the optimal transmission power distribution scheme.
When t is defined as t +1, step S32 is repeated, and | R (t) -R (t-1) When | ≦ ξ, the iteration is cut off; the optimal transmission power distribution scheme is obtained as follows:
in summary, the invention provides a power allocation method based on an overlapping visual area in a super-large-scale MIMO system, which calculates the total rate of a single-antenna user through a regularized zero-forcing pre-coding, and calculates the optimal transmitting power of an antenna in the overlapping area through an alternating iterative algorithm under the condition of meeting the requirement of unchanging the total power of the system, so that the total rate of the single-antenna user is maximized; further, when the optimal transmission power of the antenna in the overlapping area is zero, the energy efficiency of the system can be improved.
Although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the spirit and scope of the present invention.
Claims (8)
1. A power distribution method based on overlapped visual areas in a super-large scale MIMO system is characterized by comprising the following steps:
s1, constructing a super-large scale MIMO downlink wireless transmission system, wherein the wireless transmission system comprises a super-large scale antenna base station and a plurality of single antenna user groups, each single antenna user group has a respective visual area, and the visual areas comprise overlapping areas and non-overlapping areas;
defining that the base station has N antennae, wherein the single-antenna user group is provided with T groups, and the tth single-antenna user group has K t A single antenna user, wherein, when t is 1, the visual area of the 1 st single antenna user group is defined by N 1 Root proprietary antenna and N 12 The visible area of the Tth single-antenna user group is composed of N when T is T T Root proprietary antenna and N (T-1)T A root crossover antenna; when 1 < T < T, the visual area of the tth single-antenna user group is defined by N t Root proprietary antenna and N (t-1)t +N t(t+1) A root crossover antenna; n is a radical of t Number of antennas, N, of the exclusive area (t-1)t 、N t(t+1) Number of antennas in an overlapping area;
the left overlap channel modeling for the t-1 th single antenna user group and the t-th single antenna user group is:
modeling a right overlapping channel of the tth single-antenna user group and the t +1 th single-antenna user group as follows:
wherein,and channel vectors respectively representing a dedicated channel, a left overlapping channel, and a right overlapping channel; r t,k 、R (t-1)t,k And R t(t+1),k Correlation matrix representing transmitting antennas, with dimensions N t ×N t 、N (t-1)t ×N (t-1)t And N t(t+1) ×N t(t+1) ;x t,k 、x (t-1)t,k And x t(t+1),k Representing the random components of the channel, subject to a mean of 0 and a variance of 0, respectivelyAndcomplex gaussian distribution of (a);
s2, the base station sends signals to all users by adopting the regular zero forcing pre-coding, and the total rate of all users is calculated;
and S3, calculating to obtain the optimal sending power according to the total rate.
2. The method for power allocation based on overlapping visual areas in very large scale MIMO system of claim 1, wherein said S2 comprises the following steps:
s21, calculating a precoding matrix of the single-antenna user group by adopting the regularized zero-forcing precoding;
s22, calculating the signal-to-dryness ratio gamma of the users in the 1 st single-antenna user group 1,k ;
S23, calculating the signal-to-dryness ratio gamma of users in the Tth single-antenna user group T,k ;
S24, calculating the signal-to-dryness ratio gamma of the users in the t single-antenna user group t,k Wherein T is more than 1 and less than T.
3. The method of claim 2, wherein the S21 packet is a packet of power allocation based on overlapping visual regions in the very large scale MIMO systemComprises the following steps: defining precoding matrixes of a left overlapped channel, a special channel and a right overlapped channel of the tth single-antenna user group as G respectively (t-1)t 、G t And G t(t+1) Said G is (t-1)t 、G t And G t(t+1) Respectively is of size N (t-1)t ×(K t-1 +K t )、N t ×K t And N t(t+1) ×(K t +K t+1 ) According to said regularized zero-forcing precoding, left overlap channel H (t-1)t Private channel H t And the right overlapping channel H t(t+1) Of the precoding matrix G (t-1)t 、G t And G t(t+1) Can be represented by:
wherein, when t is 1, G (t-1)t Absent, when T ═ T, G t(t+1) In the absence of the presence of the agent,represents N i An identity matrix of dimensions; w is a group of i Representing a transition matrix; alpha is alpha i Representing a regularization parameter; xi shape i Representing a power scaling factor; i ═ t-1) t, t, t (t + 1);
the power scaling factor xi i The specific expression of (A) is as follows:
wherein, P (t-1)t 、P t And P t(t+1) Respectively, the transmission power of the corresponding antenna.
4. The method for power allocation based on overlapping visual regions in very large scale MIMO system of claim 2, wherein said S22 comprises: the signal-to-interference-and-noise ratio of user k in the 1 st single-antenna user group is:
wherein σ 2 Is a noise term; s 1,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S 1,k 、Andare respectively:
wherein ξ i Representing a power scaling factor; i ═ T-1) T, T, T (T +1), T ∈ [1, T],a 1,k 、b 1,k 、c 1,k 、d 1,k 、e 1,k 、f 1,k And l 1,k The specific expressions of (a) are respectively:
5. The method for power allocation based on overlapping visual regions in very large scale MIMO system of claim 2, wherein said S23 comprises: the signal-to-interference-and-noise ratio of user k in the tth single-antenna user group is:
wherein σ 2 Is the noise term, S T,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S T,k 、Andare respectively:
wherein ξ i Represents a power scaling factor; i ═ T-1) T, T, T (T +1), T ∈ [1, T],a T,k 、b T,k 、c T,k 、d T,k 、e T,k 、f T,k And l T,k The specific expressions of (a) are respectively as follows:
6. The method for power allocation based on overlapping visual regions in very large scale MIMO system of claim 2, wherein said S24 comprises: the signal-to-interference-and-noise ratio of the user k in the tth single-antenna user group is as follows:
wherein σ 2 Is the noise term, S t,k A valid signal item is represented which is,the interference terms within the group are represented,representing the out-of-group interference term, S t,k 、Andare respectively:
wherein ξ i Representing a power scaling factor; i ═ T-1) T, T, T (T +1), T ∈ [1, T],a t,k 、b t,k 、c t,k 、d t,k 、e t,k 、f t,k 、i t,k 、j t,k 、l t,k 、m t,k 、n t,k 、o t,k 、p t,k And q is t,k The specific expressions of (a) are respectively as follows:
wherein,an index representing the left interfering user of the user group t, a joint index representing users within the user group t, a joint index representing the interfering users to the right of the user group t, an index representing users within the user group t; h [·] Representing a new matrix of the H matrix after removing the index column; w i Denotes a transition matrix, i ═ T (T-1) T, T, T (T +1), T ∈ [1, T]。
8. the method for power allocation based on overlapping visual areas in a very-large-scale MIMO system of claim 7, wherein S3 specifically includes:
s31, defining a total power P sent by the base station, where the total power P is: p 1 +P 12 +P 23 +…+P T-1 +P (T-1)T +P T When P is equal to P, then P T =P-P 1 -P 12 -…-P (T-1)T From P to P T Total rate expression R taken into all users sum Obtaining a new total rate expression
S32, defining the power distribution scheme asInitialization iteration times S, population scale I and optimal power distribution scheme
S33、Subject to a uniform random distribution of 0 to 1, generating such that P T Scheme > 0I belongs to I, and the optimal sending power is calculated as follows:
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