CN108234003A - There are the MIMO cooperation topology interference alignment schemes of perfect matching - Google Patents

There are the MIMO cooperation topology interference alignment schemes of perfect matching Download PDF

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CN108234003A
CN108234003A CN201711298256.5A CN201711298256A CN108234003A CN 108234003 A CN108234003 A CN 108234003A CN 201711298256 A CN201711298256 A CN 201711298256A CN 108234003 A CN108234003 A CN 108234003A
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CN108234003B (en
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刘伟
韩雨
李建东
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Xidian University
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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
    • 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
    • H04B7/0456—Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891—Spatial equalizers
    • H04L25/03898—Spatial equalizers codebook-based design
    • H04L25/0391—Spatial equalizers codebook-based design construction details of matrices

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Abstract

The invention discloses a kind of MIMO cooperation topology interference alignment schemes for having perfect matching, realize that step is：(1) systematic parameter is set；(2) the part link model of multiple-input and multiple-output MIMO interference channels is built；(3) judge whether the current expectation information that transmitting terminal is sent meets alignment feasible condition；(4) alignment Feasible graph is drawn；(5) judge whether the relationship on the vertex and side being aligned in Feasible graph meets perfect matching condition；(6) effective transmitting terminal during perfect matching is determined；(7) in the form of information sharing, the transmission data vector of each transmitting terminal is built；(8) transmission signal vector of each transmitting terminal is obtained；(9) signal vector that each receiving terminal receives is obtained；(10) signal vector received during perfect matching is decoded；(11) terminate interference alignment.The present invention improves the system transfer rate of MIMO interference channel systems.

Description

MIMO cooperation topology interference alignment method with perfect matching
Technical Field
The invention belongs to the technical field of communication, and further relates to a cooperative topological interference alignment method in a multiple-input multiple-output antenna MIMO (multiple input multiple output) interference channel in the technical field of wireless communication. The invention can be used in the interference channel of MIMO with perfect matching, and achieves the purpose of interference alignment by the mutual cooperation of information sharing between a plurality of sending ends and combining a certain signal processing means on the premise of only knowing the network topology of the sending ends and the receiving ends.
Background
For an interference channel, the topological interference alignment method not only knows channel network topological information at a transmitting end and a receiving end, but also does not know any Channel State Information (CSI) at the transmitting end, but can achieve the same effect as the traditional interference alignment method, is more suitable for the application requirements of actual scenes, and becomes a hotspot in the field of interference alignment in recent years.
The invention patent document "MIMO interference channel topological interference alignment method" (publication number: 105871434a, application number: 201610187896.8) applied by the university of sienna electronics technology discloses a MIMO interference channel topological interference alignment method. The method comprises the following specific steps: the method comprises the steps of respectively solving a precoding vector and a decoding vector which meet interference alignment conditions in a SISO interference channel system by utilizing a part of connection models of the SISO interference channel, further solving a precoding matrix and a decoding matrix which meet the interference alignment conditions of an MIMO interference channel, carrying out time delay expansion and precoding on a sending signal in the MIMO interference channel system, and transposing and decoding a receiving signal to achieve the purpose of interference alignment. Although the method can realize the aim of exploiting interference alignment in an MIMO interference channel, the method still has the defects that in the aspect of selection of a sending end, a fixed selection range exists, only the minimum number of antennas in each receiving and sending node pair in the MIMO system is used, the redundant number of antennas in the receiving and sending nodes is not effectively utilized, and the system performance can be optimized and improved.
The article "IEEE Transactions on Information Theory" 2014, 60 (1): 529-. The method gives details on SISO system and symmetrical MIMO system, obtains the result of corresponding topological interference management problem by solving the index coding problem, and gives the accessible symmetrical degree of freedom of the system. However, the scheme still has the defects that for SISO systems and symmetric MIMO systems, the corresponding topological interference alignment problem is converted into corresponding index codes and is solved, and the asymmetric general MIMO system is not involved, so that the performance can be better.
Disclosure of Invention
The invention aims to provide a perfect-matching MIMO cooperation topology interference alignment method aiming at the existing problems, so as to solve the problems that the sending end of the existing topology interference alignment method is fixedly and singly selected, the antenna utilization rate is not high, the existing cooperation topology interference alignment method only aims at the condition limitation of a SISO system and a special MIMO system, and the transmission rate of the system is improved.
The technical idea of the invention is as follows: when perfect matching exists, based on mutual cooperation of information sharing among a plurality of sending ends, a transmission pre-coding matrix and a receiving beam forming matrix for a multi-input multi-output interference channel are designed in a combined mode, and a certain signal processing means is combined to achieve the purpose of interference alignment.
In order to achieve the purpose, the main steps of the invention are as follows:
(1) setting system parameters:
configuring M for each transmitting end in MIMO interference channel systemiRoot antenna, each receiving end is configured with NjRoot antenna, wherein the number of transmitting ends and receiving ends is equal and Mi,NjMore than or equal to 2, i represents the sequence number of the sending end, j represents the sequence number of the receiving end, i, j belongs to {1,2.., K }, belongs to a symbol, K represents the number of the sending end and the receiving end, and the value of K is an even number;
(2) constructing a partial connection model of a multi-input multi-output MIMO interference channel:
setting an interference link when P is more than or equal to η as 1, setting an interference link when P is less than η as 0, neglecting the influence of the interference link with 0 on system transmission, and obtaining a partial connection model of the MIMO interference channel with connection relation topology information between a sending end and a receiving end, wherein P represents the sum of interference power from a plurality of interference links, and η represents an interference threshold set according to the transmission requirement of the MIMO interference channel;
(3) judging whether the current expected information sent by a sending end in each MIMO interference channel system meets the feasible alignment condition, if so, executing the step (4), otherwise, executing the step (11);
(4) drawing an alignment feasible graph:
taking each expected information meeting the alignment feasible conditions as a vertex, taking the alignment feasible relation between any two pieces of expected information meeting the alignment feasible conditions as an edge, and drawing an alignment feasible graph;
(5) judging whether the relation between the top point and the edge in the alignment feasible graph meets a perfect matching condition or not, if so, executing the step (6), otherwise, executing the step (11);
(6) determining an effective sending end in the MIMO interference channel system when the perfect matching exists;
(7) when perfect matching exists, a transmission data vector of each transmitting end in the MIMO interference channel system is constructed in an information sharing mode as follows:
wherein s isiRepresents a transmission data vector of the ith sender,<·>it is shown that the operation is accumulated by column,represents the data vector expected to be received by the jth receiver, H represents the conjugate transpose operation,representing all the sets of the receiving end serial numbers which have connection relation with the ith sending end;
(8) obtaining a transmission signal vector of each transmitting end in the MIMO interference channel system when perfect matching exists:
(8a) designing a transmission precoding matrix of each transmitting end in the MIMO interference channel system according to the following formula:
wherein D isiRepresenting the Transmission precoding matrix, v, at the ith transmitter in a multiple-input multiple-output, MIMO, interference channel SystemiA precoding vector representing an ith transmit end in a multiple-input multiple-output MIMO interference channel system in topological interference alignment of a single-input single-output interference channel,the operation of the kronecker product is expressed,representing an order ofThe unit matrix of (a) is,the total number of antennas of an effective transmitting end of a j-th receiving end expected data vector in the MIMO interference channel system is represented;
(8b) coding a sending data vector of a sending end in the multi-input multi-output MIMO interference channel system by using a transmission pre-coding matrix to obtain a sending signal vector of each sending end in the multi-input multi-output MIMO interference channel system;
(9) obtaining a signal vector received by each receiving end in the MIMO interference channel system when the signal vectors are perfectly matched:
(9a) obtaining a channel matrix between each transmitting end and each receiving end in the MIMO interference channel system according to the following formula:
wherein,representing multiple-input multiple-output MIMO interference channel systemsAll channel coefficient matrixes H are arranged on diagonal lines between the ith sending end and the jth receiving endjiChannel matrix of, IFRepresenting an identity matrix of order equal to a spreading factor F determined by the transmission time slot in which the signal vector is transmitted, HjiRepresenting a channel coefficient matrix between the ith sending end and the jth receiving end in a multi-input multi-output MIMO interference channel system, with dimension Nj×Mi；
(9b) Multiplying a signal vector sent by each sending end in the multi-input multi-output MIMO interference channel system by a channel matrix to obtain a signal vector received by each receiving end in the multi-input multi-output MIMO interference channel system;
(10) and when the received signals are perfectly matched, decoding the signal vectors in the received MIMO interference channel system:
(10a) when perfect matching exists, for each receiving end in the MIMO interference channel system, a corresponding receiving beam forming matrix is designed by using the form of the kronecker product of an interference elimination vector and a space maintaining matrix;
(10b) multiplying the received signal vectors in the MIMO interference channel system by the receiving beam forming matrix respectively to obtain the interference-free signal vector of each receiving end in the MIMO interference channel system after decoding processing;
(11) and finishing the interference alignment of the MIMO cooperation topology with perfect matching.
Compared with the prior art, the invention has the following advantages:
firstly, the invention determines the effective sending end in the MIMO interference channel system when perfect matching exists by drawing the alignment feasible graph and judging whether the relation between the top point and the edge in the alignment feasible graph meets the perfect matching condition, and constructs the sending data vector of each sending end in the form of information sharing, thereby realizing that a plurality of sending ends mutually cooperate to send the expected signal together, overcoming the limitations that the sending end in the prior art is fixed and single in selection and only uses the minimum number of antennas in each receiving and sending node pair in the MIMO system, but the redundant number of antennas is not effectively utilized, increasing the selection chance of the sending end, and improving the system performance of the topology interference alignment technology.
Secondly, when perfect matching exists, the invention realizes the cooperative topological interference alignment of the multi-input multi-output interference channel configured by any antenna by respectively designing a transmission pre-coding matrix and a receiving beam forming matrix at the transmitting end and the receiving end and combining the properties of the multi-input multi-output antenna, thereby overcoming the condition limitation that the prior art can only aim at a symmetrical MIMO system and improving the transmission rate of the system.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a schematic diagram of a partial connection model of a MIMO interference channel constructed in accordance with the present invention;
FIG. 3 is a simulation of the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
Referring to the attached figure 1, the specific implementation steps of the invention are as follows:
step 1, setting system parameters.
Configuring M for each transmitting end in MIMO interference channel systemiRoot antenna, each receiving end is configured with NjRoot antenna, wherein the number of transmitting ends and receiving ends is equal and Mi,NjMore than or equal to 2, i represents the sequence number of the sending end, j represents the sequence number of the receiving end, i, j belongs to the symbol, and K represents the sending endThe value of K is even with respect to the number of receivers.
And 2, constructing a partial connection model of the MIMO interference channel.
Referring to fig. 2, a specific process for constructing a partial connection model of a MIMO interference channel is described as follows. Tx i in FIG. 2 denotes the i-th transmitting end in the MIMO interference channel, Rx j denotes the j-th receiving end in the MIMO interference channel, MiIndicates the number of antennas of the i-th transmitting end, NjIndicating the number of antennas at the jth receiver.
Setting an interference link when P is larger than or equal to η as 1, setting an interference link when P is smaller than η as 0, neglecting the influence of the interference link with 0 on system transmission, and obtaining a partial connection model of a topology information MIMO interference channel with the connection relation between a sending end and a receiving end, wherein P represents the sum of interference power from a plurality of interference links, and η represents an interference threshold set according to the transmission requirement of the MIMO interference channel.
Step 3, judging whether the current expected information sent by the sending end meets the alignment feasible condition, if so, executing step 4, otherwise, executing step 9, wherein the alignment feasible condition means that the current expected information meets the alignment feasible condition simultaneouslyAndunder two conditions, the temperature of the liquid is controlled,indicating a set of all transmitting end serial numbers having a strong link connection with a jth receiving end in the MIMO interfering channel system,represents the set of all sending end serial numbers with strong link connection with the j +1 th receiving end in the MIMO interference channel system,the representation does not contain a symbol.
And step 4, drawing an alignment feasible graph.
And drawing an alignment feasible graph by taking each expected information meeting the alignment feasible condition as a vertex and taking an alignment feasible relation between any two pieces of expected information meeting the alignment feasible conditions as an edge.
Step 5, judging whether the relation between the top point and the edge in the alignment feasible graph meets a perfect matching condition, if so, executing step 6, otherwise, executing step 11, wherein the perfect matching condition refers to the condition that the following 2 conditions are met simultaneously:
condition 1, all vertexes in the alignment feasible graph are used;
condition 2, any two edges in the alignment feasible graph do not use the same vertex.
And 6, determining an effective transmitting end in the MIMO interference channel system when the perfect matching exists.
And vertexes at two ends of the same edge in perfect matching are aligned and feasible, the aligned and feasible expected information is transmitted along the same precoding matrix to form a subspace, the aligned and feasible expected information comes from different transmitting ends which do not generate mutual interference, and all transmitting ends in the MIMO interference channel system corresponding to the aligned and feasible expected information are extracted from the perfect matching.
Step 1, traversing all vertexes in perfect matching according to the following formula, and finding out a sending end of expected information of each receiving end in the MIMO interference channel system:
and
wherein, tjTransmitting terminal, t, for indicating information expected by jth receiving terminal in MIMO interference channel systemj+1A transmitting end, a transmitting end t, for indicating the expected information of the j +1 th receiving end in the MIMO interference channel systemjAnd tj+1The sent information is aligned, ∩ denotes the intersection operation,representation collectionThe complement of (c).
And 2, taking the minimum value of the number of the antennas of two different sending ends of each pair of alignment feasible information as the number of the effective antennas of the two sending ends, and obtaining the number of the effective antennas of the expected information sending ends of all the receiving ends in the MIMO interference channel system found in the first step.
And 7, when perfect matching exists, constructing a sending data vector of each sending end in the MIMO interference channel system in an information sharing mode as follows:
wherein s isiRepresents a transmission data vector of an ith transmitting end in a multiple-input multiple-output (MIMO) interference channel system,<·>it is shown that the operation is accumulated by column,represents the data vector expected to be received by the jth receiving end in the MIMO interference channel system, H represents the conjugate transpose operation,indicate all and many inputsAnd the receiving end serial number set is connected with the ith sending end in the multi-output MIMO interference channel system.
And 8, obtaining a sending signal vector of each sending end in the MIMO interference channel system when the perfect matching exists.
Step 1, designing a transmission precoding matrix of each transmitting end in a multi-input multi-output MIMO interference channel system according to the following formula:
wherein D isiDenotes the transmission precoding matrix, v, of the ith transmitteriA precoding vector representing the ith sender in the topological interference alignment of the single-input single-output interfering channel,each vector in the set is independently and identically distributed and arbitraryAll of which are linearly independent of each other,representing a kronecker product operation,representing an order ofThe unit matrix of (a) is,indicating the total number of antennas of the valid transmitting end for which the jth receiving end expects a data vector.
And 2, coding the transmitted data vector of the transmitting end in the MIMO interference channel system by using a transmission pre-coding matrix to obtain a transmitted signal vector of each transmitting end.
And 9, obtaining a signal vector received by each receiving terminal in the MIMO interference channel system when the matching is perfect.
A channel matrix is obtained as follows:
wherein,indicating that all the diagonal lines from the ith sending end to the jth receiving end are channel coefficient matrixes HjiChannel matrix of, IFRepresenting an identity matrix of order equal to a spreading factor F determined by the transmission time slot in which the signal vector is transmitted, HjiRepresenting a channel coefficient matrix between the ith sending end and the jth receiving end, with a dimension of Nj×Mi。
Multiplying the transmission signal vector of each transmitting end by the channel matrix, and traversing according to the following formulaAligning the feasible information pairs, neglecting the influence of noise on received information, and obtaining a signal vector received by each receiving end in the MIMO interference channel system:
wherein, yjRepresents a signal vector received by a jth receiving end in a multiple-input multiple-output (MIMO) interference channel system,indicating from multiple inputsSending end t in multi-output MIMO interference channel system2l-1Contains information w2l-1The vector of the signal of (a) is,representing a transmit end t in a MIMO interference channel system from multiple inputs and multiple outputs2lContains information w2lSignal vector of, a transmitting end t in a multiple-input multiple-output, MIMO, interference channel system2l-1And t2lThe alignment of the sent information is feasible, 1 (-) represents an indication function, the condition value meeting the brackets is taken as 1, otherwise, the condition value is 0, vjA precoding vector representing a jth receiver-expected signal in a multiple-input multiple-output (MIMO) interference channel system,representation of the t-th channel in a MIMO interference channel systemjBefore the channel matrix from sender to jth receiverChannel matrix of columns, NjA transmission space matrix representing a jth receiver-side interference signal in a multiple-input multiple-output (MIMO) interference channel system, representing the interference signal vector to the jth receiving end in the MIMO interference channel system.
And step 10, decoding the signal vector in the received MIMO interference channel system when the signal vector is perfectly matched.
When perfect matching exists, for each receiving end in the MIMO interference channel system, a corresponding receiving beam forming matrix is designed in a form of a kronecker product of an interference elimination vector and a space maintaining matrix, and the specific steps are as follows:
step 1, taking a vector which is zero multiplied by an interference signal precoding vector contained in an interference signal transmission space matrix and is not zero multiplied by a precoding vector of a desired signal as an interference elimination vector, and giving the interference elimination vector according to the following formula:
wherein p isjRepresents an interference cancellation vector for the jth receiver in a multiple-input multiple-output (MIMO) interference channel system,and representing a matrix formed by interference signal precoding vectors in the interference signal transmission space matrix.
Step 2, taking a matrix which is multiplied by a channel matrix and has a full rank and ensures that the expected signal has sufficient transmission space as two space maintaining matrixes, and giving the matrix according to the following formula:
wherein Q isjAnd a space maintaining matrix for representing the expected signal of the jth receiving end in the MIMO interference channel system.
And 3, performing a kronecker product on the interference elimination vector and the space maintaining matrix to obtain a receiving beam forming matrix, wherein the kronecker product is given according to the following formula:
wherein, UjRepresenting a receive beamforming matrix, p, at the jth receiver in a MIMO interference channel systemjRepresenting interference cancellation vectors, Q, at jth receiver in a MIMO interference channel systemjAnd the spatial retention matrix represents the j desired signal of the receiving end in the MIMO interference channel system.
Multiplying the received signal vector by a receiving beam forming matrix to obtain an interference-free signal vector of each receiving end in the multi-input multi-output MIMO interference channel system after decoding processing:
wherein,representing a non-interference signal vector of a jth receiving end in the MIMO interference channel system.
And step 11, finishing the MIMO cooperation topology interference alignment with perfect matching.
The effects of the present invention will be further explained by the following simulations.
1. And (5) simulating conditions.
The simulation experiment of the invention is carried out in matlab environment, and the number of the receiving and transmitting end antennas of the MIMO interference channel system of the MIMO interference channel is respectively set to be 2,4,6,8 and 10.
2. And simulating the content.
The present invention and the topological interference alignment method in the Jafar scheme in the prior art are used to simulate the degrees of freedom obtained by each user when the number of antennas at the transmitting and receiving ends is 2,4,6,8, and 10 respectively for the partial connection model of the MIMO interference channel constructed in fig. 2, and the result is shown in fig. 3.
The abscissa in fig. 3 represents the number of antennas at the transmitting and receiving ends, the ordinate represents the degree of freedom per user, the straight line marked with a circle represents the result of alignment of the topological interference in the Jafar scheme of the prior art, and the straight line marked with an asterisk represents the result of alignment of the topological interference in the present invention.
As can be seen from the simulation result in fig. 3, as the number of antennas at the transceiving end increases, the degree of freedom per user is in a linear increasing trend, and when the number of antennas at the transceiving end is 2,4,6,8, and 10, respectively, the degree of freedom per user of the topological interference alignment of the present invention is higher than the degree of freedom per user of the topological interference alignment method in the Jafar scheme in the prior art.
The simulation result of the invention shows that when the number of the antennas at the transmitting and receiving ends is the same, the invention can always obtain higher degree of freedom per user and better system performance compared with the topological interference alignment method in the Jafar scheme in the prior art when the system is perfectly matched.

Claims (5)

1. A perfect-matching MIMO cooperation topology interference alignment method is characterized by comprising the following steps:
(1) setting system parameters:
configuring M for each transmitting end in MIMO interference channel systemiRoot antenna, each receiving end configured with NjRoot antenna, wherein the number of transmitting ends and receiving ends is equal and Mi,NjMore than or equal to 2, i represents the sequence number of the sending end, j represents the sequence number of the receiving end, i, j belongs to the symbol, and K represents the sending end and the receiving endThe value of K is an even number;
(2) constructing a partial connection model of a multi-input multi-output MIMO interference channel:
setting an interference link when P is more than or equal to η as 1, setting an interference link when P is less than η as 0, neglecting the influence of the interference link with 0 on system transmission, and obtaining a partial connection model of the MIMO interference channel with connection relation topology information between a sending end and a receiving end, wherein P represents the sum of interference power from a plurality of interference links, and η represents an interference threshold set according to the transmission requirement of the MIMO interference channel;
(3) judging whether the current expected information sent by a sending end in each MIMO interference channel system meets the feasible alignment condition, if so, executing the step (4), otherwise, executing the step (11);
(4) drawing an alignment feasible graph:
taking each expected information meeting the alignment feasible conditions as a vertex, taking the alignment feasible relation between any two pieces of expected information meeting the alignment feasible conditions as an edge, and drawing an alignment feasible graph;
(5) judging whether the relation between the top point and the edge in the alignment feasible graph meets a perfect matching condition or not, if so, executing the step (6), otherwise, executing the step (11);
(6) determining an effective sending end in the MIMO interference channel system when the perfect matching exists;
(7) when perfect matching exists, a transmission data vector of each transmitting end in the MIMO interference channel system is constructed in an information sharing mode as follows:
wherein s isiRepresents a transmission data vector of the ith sender,<·>it is shown that the operation is accumulated by column,represents the data vector expected to be received by the jth receiver, H represents the conjugate transpose operation,representing all the sets of the receiving end serial numbers which have connection relation with the ith sending end;
(8) obtaining a transmission signal vector of each transmitting end in the MIMO interference channel system when perfect matching exists:
(8a) according to the following formula, a transmission precoding matrix of each transmitting end in a multi-input multi-output MIMO interference channel system is designed:
wherein D isiRepresenting the transmission precoding matrix, v, of the ith transmit end in a MIMO interference channel systemiA precoding vector representing an ith transmit end in a multiple-input multiple-output (MIMO) interference channel system in a topological interference alignment of a single-input single-output interference channel,the operation of the kronecker product is expressed,representing an order ofThe unit matrix of (a) is,the total number of antennas of an effective transmitting end of a j-th receiving end expected data vector in the MIMO interference channel system is represented;
(8b) coding a sending data vector of a sending end in the multi-input multi-output MIMO interference channel system by using a transmission pre-coding matrix to obtain a sending signal vector of each sending end in the multi-input multi-output MIMO interference channel system;
(9) obtaining a signal vector received by each receiving end in the MIMO interference channel system when the signal vectors are perfectly matched:
(9a) obtaining a channel matrix between each transmitting end and a receiving end in the MIMO interference channel system according to the following formula:
wherein,indicating that all diagonal lines between the ith sending end and the jth receiving end in the MIMO interference channel system are channel coefficient matrixes HjiChannel matrix of, IFRepresenting an identity matrix of order equal to a spreading factor F determined by the transmission time slot in which the signal vector is transmitted, HjiRepresenting a channel coefficient matrix between the ith sending end and the jth receiving end in a multi-input multi-output MIMO interference channel system, with dimension Nj×Mi；
(9b) Multiplying a signal vector sent by each sending end in the multi-input multi-output MIMO interference channel system by a channel matrix to obtain a signal vector received by each receiving end in the multi-input multi-output MIMO interference channel system;
(10) and when the signal vectors are perfectly matched, decoding the signal vectors in the received MIMO interference channel system:
(10a) when perfect matching exists, for each receiving end in the MIMO interference channel system, a corresponding receiving beam forming matrix is designed in a form of a kronecker product of an interference elimination vector and a space maintaining matrix;
(10b) multiplying the received signal vectors in the MIMO interference channel system by the receiving beam forming matrix respectively to obtain the interference-free signal vector of each receiving end in the decoded MIMO interference channel system;
(11) and finishing the interference alignment of the MIMO cooperation topology with perfect matching.
2. The interference alignment method for MIMO cooperative topology with perfect match according to claim 1, wherein the alignment feasible condition in step (3) is that the interference alignment feasible condition is satisfied simultaneouslyAndtwo conditions are set, wherein,indicating a set of all sender sequence numbers having a connection with a jth receiver in a MIMO interfering channel system,represents a set of all sender sequence numbers having connections to the (j + 1) th receiver in the MIMO interfering channel system,the representation does not contain a symbol.
3. The interference alignment method for MIMO cooperation topology with perfect matching according to claim 1, wherein the perfect matching condition in step (5) refers to a situation that the following 2 conditions are satisfied simultaneously:
condition 1, all vertexes in the alignment feasible graph are used;
condition 2, any two edges in the alignment feasible graph do not use the same vertex.
4. The method for interference alignment in MIMO cooperation topology with perfect matching according to claim 1, wherein the step (6) of determining the effective transmitting end in the MIMO interference channel system with perfect matching is performed according to the following steps:
the vertexes at two ends of the same edge in perfect matching are aligned and feasible, the aligned and feasible expected information is transmitted along the same pre-coding matrix in a spanning manner, and the aligned and feasible expected information comes from different transmitting ends which do not generate mutual interference;
firstly, traversing all vertexes in perfect matching according to the following formula, and finding out a transmitting end of expected information of each receiving end in a multi-input multi-output MIMO interference channel system:
and
wherein, tjTransmitting terminal, t, for indicating information expected by jth receiving terminal in MIMO interference channel systemj+1A transmitting end, a transmitting end t, for indicating the expected information of the j +1 th receiving end in the MIMO interference channel systemjAnd tj+1The sent information is aligned, ∩ denotes the intersection operation,representation collectionThe complement of (1);
and secondly, taking the minimum value of the number of the antennas of two different sending ends of each pair of alignment feasible information as the number of the effective antennas of the two sending ends to obtain the number of the effective antennas of the expected information sending ends of all the receiving ends in the MIMO interference channel system found in the first step.
5. The method of claim 1, wherein the step (10a) of designing the receive beamforming matrix by using the form of kronecker product of the interference cancellation vector and the space maintaining matrix is implemented by the following steps:
step one, taking a vector which is zero multiplied by an interference signal precoding vector contained in an interference signal transmission space matrix and is not zero multiplied by a precoding vector of a desired signal as an interference elimination vector;
step two, taking a matrix which is multiplied by a channel matrix and has a full rank and ensures that the expected signal has sufficient transmission space as two space maintaining matrixes;
and thirdly, performing a kronecker product on the interference elimination vector and the two space maintaining matrixes to obtain a receiving beam forming matrix.
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