CN105915475B - Multiple cell MIMO down isomeric network interferences removing method - Google Patents
Multiple cell MIMO down isomeric network interferences removing method Download PDFInfo
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- 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
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- 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
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Abstract
The invention discloses a kind of multiple cell MIMO down isomeric network interferences removing methods, mainly solve the interference problem in MIMO down isomeric network.Implementation step is: 1) system parameter is arranged；2) decoding matrix of building Microcell service user；3) according to the size relation of Microcell number L and macrocell service number of users K, point situation is grouped macrocell service user；4) decoding matrix of building macrocell service user；5) pre-coding matrix of the base station of building Microcell configuration；6) pre-coding matrix of the base station of building macrocell configuration, eliminates the interference in heterogeneous network system, the present invention can effectively eliminate interference, and the scope of application is wider, can be used for multiple cell MIMO down isomeric network communicating system.
Description
Technical field
The invention belongs to fields of communication technology, how defeated further relate to one of wireless communication technology field multiple cell
Enter multi output (multiple input multiple output, MIMO) down isomeric network interferences removing method.The present invention
It can be used for multiple-input and multiple-output MIMO down isomeric network system, convenient for transplanting, it is different that MIMO downlink can be applied even more extensively
In structure network system.
Background technique
Multiple-input and multiple-output (MIMO) system can improve transmission quality, transmit with realizing data high-speed rate.Heterogeneous network
It can be improved message capacity and communication efficiency, be suitable for highdensity user and communicate.Therefore, by multiple-input and multiple-output MIMO and different
The composite system of network forming network composition attracts many people to carry out in-depth study.
In multiple-input and multiple-output MIMO heterogeneous network system, macro base station (Macro Base Station) and micro-base station
The transmitting antenna number of (Pico Base Station) is different, and the number of users of service is any number of, the size of coverage area
Difference, just because of this isomerism, multiple-input and multiple-output MIMO heterogeneous network system could improve the logical of cordless communication network
Believe capacity, rate and quality, but also just because of this isomerism, can make designing in multiple-input and multiple-output MIMO heterogeneous network
Parameter in interference alignment schemes greatly increases, and makes the research to the multiple-input and multiple-output MIMO heterogeneous network system of general scene
It is relatively difficult.
For multiple-input and multiple-output MIMO heterogeneous network system, interference alignment IA method is applied to eliminate minizone
Interference.
Paper " the Linear transceiver design that Hyun-Ho Lee and Young-Chai Ko are delivered at it
based on interference alignment for MIMO heterogeneous networks”(IEEE
Transactions on Communications, 2015) a kind of linear transceiver design based on interference alignment is disclosed in
Method.The design procedure of this method: step 1: the pre-coding matrix of the base station of building Microcell configuration, by Microcell configuration
Base station snaps in an identical signal space interference of each macrocell service user, constructs each Microcell service and uses
Family decoding matrix eliminates the inter-cell interference signals from Microcell；Step 2: the decoding matrix of macrocell service user is derived from
The kernel of the base station interference signal of Microcell configuration eliminates the interference of all base stations from Microcell configuration, macrocell
The pre-coding matrix of the base station of configuration is then derived from intra-cell interference of the base station to other macrocells service user of macrocell configuration
In the kernel of the inter-cell interference to Microcell service user, the intra-cell interference of macrocell is eliminated and to Microcell
Inter-cell interference.By the design of above two step, this method makes each user of system up to freedom degree be 1.But it should
Method is only applicable to the heterogeneous network system that user's free degree is 1, can not be applied to the heterogeneous network that user's free degree is greater than 1
In scene.
In the patent that Xian Electronics Science and Technology University delivers, " interference of macrocell multi-user MIMO system down isomeric network presses down
A kind of disturbance restraining method of macrocell multiuser MIMO heterogeneous network downlink is disclosed in method processed ", is mainly solved existing
There is the interference problem of macrocell multiuser MIMO heterogeneous network.This method implementation steps: first, it is determined that macrocell services number of users
Parity；Secondly, to macrocell, service user is grouped: even number feelings for the odd even situation of macrocell service number of users
Under condition, macrocell service user is equally divided into two groups；In the case of odd number, macrocell service user is divided into two groups, the last one use
Family is not involved in grouping；Finally design the transmitting pre-coding matrix and receiver processing array of macrocell, Microcell.This method can
The interference in heterogeneous network is effectively inhibited, but is only applicable in the heterogeneous network of two Microcells of configuration, the party is caused
Method can not be applied to eliminate interference in the heterogeneous network system of any multiple cell.
Summary of the invention
It is an object of the invention to be directed to the deficiency of above-mentioned prior art, a kind of multiple cell MIMO down isomeric net is proposed
Network interference elimination method facilitates transplanting suitable for multiple cell, the scene of macrocell multi-user, and the user in system can be made to reach
To asymmetrical freedom degree.
It realizes the technical scheme is that being used in MIMO heterogeneous network communication system firstly, constructing Microcell service
The decoding matrix at family makes the interference from the base station that macrocell configures snap to an identical signal space；Secondly, according to macro
The relationship of cell serves number of users and Microcell number is divided into four kinds of situations and is grouped to macrocell service user, in every middle feelings
In condition, the decoding matrix of building macrocell service user receives every group of macrocell service user and matches from corresponding Microcell
The interference for the base station set snaps in an identical signal space；Again, the decoding of user is serviced according to the macrocell of design
Matrix constructs the pre-coding matrix of the base station of macrocell configuration, and the base station for eliminating macrocell configuration services user to Microcell
Inter-cell interference and macrocell in inter-user interference, finally, building Microcell configuration base station pre-coding matrix, eliminate
Inter-cell interference of the base station of each Microcell configuration to macrocell service user and Microcell service user.
Realize the object of the invention specific steps include the following:
(1) system parameter is set:
1 macrocell and L Microcell, L >=2 are arranged in a MIMO down isomeric network in (1a)；
(1b) sets 1 for the base station number that each Microcell configures, and the base station number of macrocell configuration is set as 1；
(1c) sets 1 for each Microcell service number of users, and macrocell services number of users K, K >=4；
(2) decoding matrix of building Microcell service user:
The interference for the L Microcell service user that (2a) system is arranged in the base station that macrocell configures, snaps to one
In signal subspace；
(2b) according to the following formula, constructs the decoding matrix of each Microcell service user:
Wherein, ZL+1Indicate signal subspace matrix of the base station of macrocell configuration to L Microcell service user's interference, L
+ 1 indicates that the base station of macrocell configuration is the base station L+1, U in MIMO down isomeric networkiIndicate i-th of Microcell service user
Nr×dpDimensional decoding matrix, i=1,2 ..., L, NrIndicate the receiving antenna number of Microcell service user, dpIndicate Microcell
The data flow number that the base station of configuration emits Microcell service user,Indicate relation belonging to, null expression takes kernel to grasp
Make,Indicate Mt×MtUnit matrix is tieed up,Indicate base station and the transmission of i-th of Microcell service user of macrocell configuration
Channel matrix between link, H indicate conjugate transposition operation；
(3) judge the size relation of macrocell service number of users K and Microcell number L: if K >=2L and K/L is one whole
Number, thens follow the steps (4)；If K >=2L and K/L are not an integers, (6) are thened follow the steps；If K < 2L and K are even number
When, then follow the steps (8)；If K < 2L and K are odd number, (10) are thened follow the steps；
(4) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (4a), and every K/L macrocell service user is one group, obtains L group,
Successively it is set as 1~L group；
Interference of the base station that (4b) configures m-th of Microcell to m group macrocell service user, snaps to a signal
Subspace；
(4c) according to the following formula, building macrocell services the decoding matrix of user:
Wherein, ZmIndicate the signal subspace that m group macrocell service user is interfered in the base station of m-th of Microcell configuration
Matrix, 1≤m≤L,Indicate theThe N ' of a macrocell service userr×dmDimensional decoding matrix,Indicate theA macrocell service user is MIMO down isomeric
User in networkN′rIndicate the receiving antenna number of macrocell service user, N 'r=Nr, dmIndicate macro
The data flow number that the base station of cell configuration emits each macrocell service user,Indicate relation belonging to, null expression takes
Kernel operation,Indicate Nt×NtUnit matrix is tieed up,Indicate the base station and the of m-th of Microcell configurationN ' between the transmission link of a macrocell service userr×NtChannel matrix is tieed up, H indicates conjugate transposition behaviour
Make；
(5) pre-coding matrix of the base station of building Microcell configuration:
According to the following formula, the pre-coding matrix for constructing the base station of each Microcell configuration eliminates the configuration of each Microcell
Base station service K macrocell service user and L-1 Microcell the inter-cell interference of user:
Wherein, VmIt is the N of the base station of m-th of Microcell configurationt×dpDimension pre-coding matrix, m=1,2 ..., L+1,Table
Show relation belonging to, null expression takes kernel to operate, ZmIndicate the base station of m-th of Microcell configuration to m group macrocell service
The signal subspace matrix of user's interference, UaIndicate that the decoding matrix of the a-L macrocell service user, a indicate that a-L is a macro
Cell serves user is user a, L+1≤a≤L+K and a ≠ L+ (m-1) K/L+1 ..., L+ in MIMO down isomeric network
MK/L, H indicate conjugate transposition operation,The base station and the a-L macrocell service user for indicating the configuration of m-th of Microcell pass
N ' between transmission linkr×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration, UbIndicate b-th it is micro-
The decoding matrix of cell serves user, 1≤b≤L and b ≠ m,Indicate m-th of Microcell configuration base station and b-th it is micro-
N between cell serves user's transmission linkr×NtChannel matrix is tieed up, step (12) are gone to；
(6) decoding matrix of building macrocell service user:
(6a) macrocell service user is grouped, and every t macrocell service user is one group, Table
Show downward floor operation, L group is obtained, be successively denoted as 1~L group, the Lt+1~K macrocell service user is not belonging to any
One group；
(6b) constructs the decoding matrix of each macrocell service user, by the base station of q-th of Microcell configuration to q group
The interference of macrocell service user snaps to a signal space；
(7) pre-coding matrix of the base station of building Microcell configuration:
According to the following formula, the pre-coding matrix for constructing the base station of each Microcell configuration eliminates the configuration of each Microcell
Base station service K macrocell service user and L-1 Microcell the inter-cell interference of user:
Wherein, VqBe q-th of Microcell configuration base station pre-coding matrix, q=1,2 ..., L,Expression belongs to pass
System, null expression take kernel to operate, ZqIndicate that q group macrocell service user is interfered in the base station of q-th of Microcell configuration
Signal space matrix,Indicate theThe decoding matrix of a macrocell service user, a ≠ L+ (q-1) t+1 ..., L+qt
AndIndicate that the macrocell service number of users in every group, H indicate conjugate transposition operation,
Indicate the base station and the of q-th of Microcell configurationN ' between a macrocell service user's transmission linkr×NtTie up channel
Matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,Indicate theThe decoding matrix of a Microcell service user,AndIndicate the base station and the of q-th of Microcell configurationA Microcell service user's transmission link it
Between Nr×NtChannel matrix is tieed up, step (12) are gone to；
(8) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (8a), and every K/2 macrocell service user is one group, obtains 2 groups,
Successively it is denoted as the 1st, 2 group；
(8b) according to the following formula, constructs the decoding matrix of K macrocell service user, by o-th of base station to o group macrocell
The interference for servicing user, snaps to a signal subspace:
Wherein, ZoIndicate the signal space square that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Battle array, o=1,2,It indicates in o group macrocell service userThe N ' of a macrocell service userr×dmDimension solution
Code matrix,dmIndicate data flow number of the base station to the service user's transmitting of each macrocell of macrocell configuration,Indicate relation belonging to, null expression takes kernel to operate, INtIndicate Nt×NtUnit matrix is tieed up,It indicates o-th
The base station and the of Microcell configurationN ' between the transmission link of a macrocell service userr×NtTie up channel
Matrix, H indicate conjugate transposition operation；
(9) pre-coding matrix of the base station of building Microcell configuration:
(9a) according to the following formula, the pre-coding matrix of the base station of building first and the configuration of second Microcell eliminates first
The base station of a and second Microcell configuration services the small of user to K macrocell service user and L-1 Microcell respectively
Section interference:
Wherein, VoBe o-th of Microcell configuration base station pre-coding matrix, o=1,2,Indicate relation belonging to, null
Expression takes kernel to operate, ZoIndicate the signal subspace that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Space matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate N 'r×MtO-th of Microcell is tieed up to match
The base station set and theChannel matrix between a macrocell service user's transmission link, MtIndicate the base station of macrocell configuration
Transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,AndIndicate Nr
×NtTie up the base station and the of o-th of Microcell configurationChannel matrix between a Microcell service user's transmission link；
(9b) according to the following formula, it is a micro- to eliminate 3~L for the pre-coding matrix of the base station of the 3~L Microcell of building configuration
The base station of cell configuration services the inter-cell interference of user to K macrocell respectively and does to the minizone of Microcell service user
It disturbs:
Wherein,It isThe pre-coding matrix of the base station of a Microcell configuration,Expression belongs to pass
System, null expression take kernel to operate,Indicate theThe decoding matrix of a macrocell service user,H indicates conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theA macrocell
Service the N ' between user's transmission linkr×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,
Indicate theThe decoding matrix of a Microcell service user,AndIndicate theA Microcell configuration
Base station and theN between a Microcell service user's transmission linkr×NtChannel matrix is tieed up, step (12) are gone to；
(10) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (10a), and per (K-1)/2, a macrocell service user is one group, be there are
To 2 groups, it is successively denoted as the 1st, 2 group, k-th macrocell service user is not belonging to any group of；
(10b) constructs the decoding matrix of macrocell service user, makes r-th of base station to r group macrocell service user's
Interference snaps to a signal space；
(11) pre-coding matrix of the base station of building Microcell configuration:
(11a) according to the following formula, the pre-coding matrix of the base station of building first and the configuration of second Microcell eliminates first
The Base Transmitter signal of a and second Microcell configuration services user to K macrocell service user and L-1 Microcell
Inter-cell interference:
Wherein, VrBe r-th of Microcell configuration base station pre-coding matrix, r=1,2,Indicate relation belonging to, null
Expression takes kernel to operate, ZrIndicate the signal subspace that r group macrocell service user is interfered in the base station of r-th of Microcell configuration
Space matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate r-th of Microcell configuration
Base station and theN ' between a macrocell service user's transmission linkr×NtTie up channel matrix, NtIndicate Microcell configuration
Base station transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,
Indicate the base station and the of m-th of Microcell configurationN between a Microcell service user's transmission linkr×NtTie up channel matrix；
(11b) according to the following formula, it is a micro- to eliminate 3~L for the pre-coding matrix of the base station of the 3~L Microcell of building configuration
Inter-cell interference of the base station of cell configuration to K macrocell service user and L-1 Microcell service user:
Wherein,It isThe N of the base station of a Microcell configurationt×dpPre-coding matrix is tieed up,NtIndicate micro-
The transmitting antenna number of the base station of cell configuration, dpIndicate data flow of the base station to Microcell service user's transmitting of Microcell configuration
Number,Indicating relation belonging to, null expression takes kernel to operate,Indicate theThe decoding square of a macrocell service user
Battle array,H indicates conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theIt is a macro
N ' between cell serves user's transmission linkr×NtChannel matrix is tieed up,Indicate theThe decoding square of a Microcell service user
Battle array,AndIndicate theThe base station of a Microcell configuration and theA Microcell services user's chain
N between roadr×NtTie up channel matrix；
(12) pre-coding matrix of the base station of building macrocell configuration:
According to the following formula, the pre-coding matrix to each macrocell service user of the base station of building macrocell configuration, is eliminated
The base station of macrocell configuration is to the inter-user interference in the inter-cell interference and macrocell of Microcell service user:
Wherein, VcIndicate M of the base station to the c-L macrocell service user of macrocell configurationt×dmTie up precoding square
Battle array, L+1≤c≤L+K, MtIndicate the transmitting antenna number of the base station of macrocell configuration, dmIndicate the base station of macrocell configuration to macro small
Area services the data fluxion of user's transmitting,Indicate relation belonging to, null expression takes kernel to operate, ZL+1Indicate that macrocell is matched
Signal subspace matrix of the base station set to L Microcell service user's interference, UgIndicate the g-L macrocell service user's
Decoding matrix, L+1≤g≤L+K and g ≠ c, H indicate conjugate transposition operation,Indicate base station and the g-L of macrocell configuration
N ' between a macrocell service user's transmission linkr×MtTie up channel matrix.
By step described above, the user in heterogeneous network glitch-free can receive desired signal.
Compared with the prior art, the invention has the following advantages:
Due to present invention employs to macrocell service user point situation be grouped, to every group of macrocell user carry out portion
Divide the method for interference alignment, the pre-coding matrix of the base station of building Microcell configuration and every group of macrocell service the decoding square of user
Battle array, has effectively eliminated the interference in heterogeneous network, has overcome the prior art and be only applicable to the heterogeneous network that user's free degree is 1
Network system, can not be applied to user's free degree is the problems in asymmetrical heterogeneous network scene, so that the present invention has application
The wider advantage of scene.
Detailed description of the invention
Fig. 1 is the MIMO down isomeric network diagram that the present invention uses；
Fig. 2 is flow chart of the invention；
Fig. 3 be the present invention in macrocell service number of users K be Microcell number L integral multiple, and multiple be more than or equal to 2 when
User grouping schematic diagram；
Fig. 4 is aligned linear under conditions of given system parameter configuration, to be respectively the system present invention and based on interference
User's Mean Speed comparison diagram that transceiver design method is realized；
Fig. 5 is aligned linear under conditions of given system parameter configuration, to be respectively the system present invention and based on interference
User's Mean Speed comparison diagram that transceiver design method is realized.
Specific embodiment
Technical solutions and effects of the present invention is described in further detail with reference to the accompanying drawings.
Referring to Fig.1, steps are as follows for realization of the invention.
Step 1, system parameter is set.
It include 1 macrocell and L Microcell in the MIMO down isomeric network that the present invention is arranged referring to Fig. 2, L >=2,
1 is set by the base station number that each Microcell configures, the base station number of macrocell configuration is set as 1, and each Microcell is serviced and is used
Amount is set as 1, and macrocell services number of users K, K >=4.
Step 2, the decoding matrix of building Microcell service user.
The interference for the L Microcell service user that system is arranged in the base station of macrocell configuration, snaps to a signal
In subspace:
Wherein, ZL+1Indicate signal subspace matrix of the base station of macrocell configuration to L Microcell service user's interference, L
+ 1 indicates the space that the base station of macrocell configuration is opened for the base station L+1 in MIMO down isomeric network, span representing matrix,Indicate that the channel matrix in the base station and i-th of Microcell of macrocell configuration between the transmission link of user, H indicate conjugation
Transposition operation, UiIndicate the N of user in i-th of Microcellr×dpDimensional decoding matrix, i=1,2 ..., L.
By interfere above alignment equation can obtain, meet the decoding matrix of the macrocell service user of condition, can be according to the following formula
Building:
Wherein, ZL+1Indicate signal subspace matrix of the base station of macrocell configuration to L Microcell service user's interference, L
+ 1 indicates that the base station of macrocell configuration is the base station L+1, U in MIMO down isomeric networkiIndicate i-th of Microcell service user
Nr×dpDimensional decoding matrix, i=1,2 ..., L, NrIndicate the receiving antenna number of Microcell service user, dpIndicate Microcell
The data fluxion that the base station of configuration emits Microcell service user,Indicating relation belonging to, null expression takes kernel to operate,
IMtIndicate Mt×MtTie up unit matrix, MtIndicate the transmitting antenna number of the base station of macrocell configuration,Indicate macrocell configuration
Channel matrix between base station and the transmission link of i-th of Microcell service user, H indicate conjugate transposition operation.
By the solvability of kernel, to ensure U in step (2a)iDimension Nr×dp, condition need to be met:
LNr-(L-1)Mt≥dp
Wherein, L indicates Microcell number, NrIndicate the receiving antenna number of Microcell service user, MtIndicate macrocell configuration
The transmitting antenna number of base station, dpIndicate data fluxion of the base station to Microcell service user's transmitting of Microcell configuration.
Step 3, judge the size relation of macrocell service number of users K and Microcell number L: if K >=2L and K/L is one
Integer thens follow the steps 4；If K >=2L and K/L are not an integers, 6 are thened follow the steps；If K < 2L and K are even number,
Then follow the steps 8；If K < 2L and K are odd number, 10 are thened follow the steps.
Step 4, the decoding matrix of building macrocell service user.
K macrocell service user is grouped, as shown in figure 3, in MIMO down isomeric network, Microcell configuration
Base station is 1~L of base station in MIMO down isomeric network, and the base station of macro cell base station configuration is in MIMO down isomeric network
Base station L+1, L Microcell service user are respectively 1~L of user in MIMO down isomeric network, and macrocell service user is
User L+1~L+K in MIMO down isomeric network, to macrocell, service user is grouped: user L+1~L+K/L is first
Group ..., user L-K/L~L are L group.Interference by the base station of m-th of Microcell configuration to m group macrocell service user
Snap to a signal space:
Wherein, ZmIndicate the signal space square that m group macrocell service user is interfered in the base station of m-th of Microcell configuration
Battle array, 1≤m≤L, the space of span representing matrix,Indicate the base station and the of m-th of Microcell configurationN ' between the transmission link of a macrocell service userr×NtTie up channel matrix, N 'rIndicate macrocell clothes
The receiving antenna number of business user, N 'r=Nr,H indicates conjugate transposition operation,Indicate that m group is macro
In cell serves userThe decoding matrix of a macrocell service user,
By interfere above alignment equation can obtain, meet the decoding matrix of the macrocell service user of condition, can be according to the following formula
Building:
Wherein, ZmIndicate the signal space square that m group macrocell service user is interfered in the base station of m-th of Microcell configuration
Battle array, 1≤m≤L,It indicates in m group macrocell service userThe decoding matrix of a macrocell service user,Null expression takes kernel to operate,Indicate Nt×NtTie up unit matrix, NtIndicate the base station of Microcell configuration
Transmitting antenna number,Indicate the base station and the of m-th of Microcell configurationA macrocell service
N ' between the transmission link of userr×NtChannel matrix is tieed up, H indicates conjugate transposition operation.
By the solvability of kernel, for the decoding matrix for ensuring macrocell service userDimension Nr×dm,
Condition need to be met:
Wherein, K indicates that macrocell services number of users, and L indicates Microcell number, NtIndicate the transmitting of the base station of Microcell configuration
Antenna number, dmIndicate the base station of macrocell configuration.
Step 5, the pre-coding matrix of the base station of building Microcell configuration.
According to the following formula, the pre-coding matrix for constructing the base station of L Microcell configuration, eliminates the Base Transmitter of Microcell configuration
Inter-cell interference of the signal to K macrocell service user and L-1 Microcell service user:
Wherein, VmIt is the N of the base station of m-th of Microcell configurationt×dpDimension pre-coding matrix, m=1,2 ..., L+1,Table
Show relation belonging to, null expression takes kernel to operate, ZmIndicate the base station of m-th of Microcell configuration to m group macrocell service
The signal subspace matrix of user's interference, UaIndicate that the decoding matrix of the a-L macrocell service user, a indicate that a-L is a macro
Cell serves user is user a, L+1≤a≤L+K and a ≠ L+ (m-1) K/L+1 ..., L+ in MIMO down isomeric network
MK/L, H indicate conjugate transposition operation,The base station and the a-L macrocell service user for indicating the configuration of m-th of Microcell pass
N ' between transmission linkr×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration, UbIndicate b-th it is micro-
The decoding matrix of cell serves user, 1≤b≤L and b ≠ m,Indicate m-th of Microcell configuration base station and b-th it is small
Area services the N between user's transmission linkr×NtTie up channel matrix.
By the solvability of kernel, to ensure VmDimension Nt×dp, condition need to be met:
Wherein, NtIndicate the transmitting antenna number of the base station configuration of macrocell configuration, L indicates the Microcell number of system setting, K
The macrocell of expression system setting services number of users, dmIndicate the base station of macrocell configuration to the service user's transmitting of each macrocell
Data fluxion, dpIndicate that the base station of Microcell configuration to the data fluxion of Microcell service user's transmitting, goes to step (12).
Step 6, the decoding matrix of building macrocell service user.
K macrocell service user is grouped, every t macrocell service user is one group,Table
Show downward floor operation, L group is obtained, be successively denoted as 1~L group, the Lt+1~K macrocell service user is not belonging to any
One group.
The base station of q-th of Microcell configuration is snapped into a signal space to the interference of q group macrocell service user:
Wherein, ZqIndicate the signal space square that q group macrocell service user is interfered in the base station of q-th of Microcell configuration
Battle array, 1≤q≤L, the space of span representing matrix,Indicate the base station and the of q-th of Microcell configurationN ' between the transmission link of a macrocell service userr×NtChannel matrix is tieed up,NtIndicate macrocell
The transmitting antenna number of the base station configuration of configuration, H indicate conjugate transposition operation,Indicate q group macrocell service user
InThe decoding matrix of a macrocell service user.
By interfere above alignment equation can obtain, meet the decoding matrix of the 1~Lt macrocell service user of condition, can
It constructs according to the following formula:
Wherein, ZqIndicate the signal space square that q group macrocell service user is interfered in the base station of q-th of Microcell configuration
Battle array, 1≤q≤L,It indicates in q group macrocell service userThe decoding matrix of a macrocell service user,Indicating relation belonging to, null expression takes kernel to operate,Indicate Nt×NtUnit matrix is tieed up,Indicate the base station and the of q-th of Microcell configurationBetween the transmission link of a macrocell service user
N′r×NtChannel matrix is tieed up, H indicates conjugate transposition operation.
By the solvability of kernel, for the decoding matrix for ensuring macrocell service userDimension Nr×dm, need
Meet condition:
Wherein, K indicates that the macrocell of system setting services number of users, and L indicates the Microcell number of system setting, NtIndicate micro-
The transmitting antenna number of the base station of cell configuration, dmIndicate number of the base station to the service user's transmitting of each macrocell of macrocell configuration
According to fluxion.
Due to the Lt+1~K macrocell service user be not belonging to it is any group of, so to the Lt+1~K macrocell clothes
Business user, which appoints, takes a Nr×dmTie up matrixAs decoding matrix,Need to only condition be met:
Step 7, the pre-coding matrix of the base station of building Microcell configuration.
According to the following formula, the pre-coding matrix for constructing the base station of each Microcell configuration eliminates the base station hair of Microcell configuration
Signal is penetrated to the inter-cell interference of K macrocell service user and L-1 Microcell service user:
Wherein, VqBe q-th of Microcell configuration base station pre-coding matrix, q=1,2 ..., L,Expression belongs to pass
System, null expression take kernel to operate, ZqIndicate that q group macrocell service user is interfered in the base station of q-th of Microcell configuration
Signal space matrix,Indicate theThe decoding matrix of a macrocell service user,And a ≠ L+
(q-1)t+1,...,L+qt,Indicate that the macrocell service number of users in every group, H indicate conjugate transposition operation,
Indicate the base station and the of q-th of Microcell configurationN ' between a macrocell service user's transmission linkr×NtTie up channel
Matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,Indicate theThe decoding matrix of a Microcell service user,And Indicate the base station and the of q-th of Microcell configurationA Microcell service user's transmission link it
Between Nr×NtTie up channel matrix.
By the solvability of kernel, to ensure VqDimension be Nr×dp, condition need to be met:
Wherein, NtIndicate the transmitting antenna number of the base station of macrocell configuration, K indicates that the macrocell of system setting services user
Number, L indicate the Microcell number of system setting,Indicate downward floor operation, dmIndicate the base station of macrocell configuration to each macro
The data fluxion of cell serves user transmitting, dpIndicate data flow of the base station to Microcell service user's transmitting of Microcell configuration
Number, goes to step (12).
Step 8, the decoding matrix of building macrocell service user.
K macrocell service user is grouped, every K/2 macrocell service user is one group, obtains 2 groups, successively
It is denoted as the 1st, 2 group.
The base station of o-th of Microcell configuration is snapped into a signal space to the interference of o group macrocell service user:
Wherein, ZoIndicate the signal space square that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Battle array, o=1, the space of 2, span representing matrixes,Indicate the base station and the of o-th of Microcell configurationN ' between the transmission link of a macrocell service userr×NtChannel matrix is tieed up,H is indicated
Conjugate transposition operationIt indicates in o group macrocell service userThe N ' of a macrocell service userr×dmDimension
Decoding matrix,dmIndicate data flow of the base station to the service user's transmitting of each macrocell of macrocell configuration
Number.
By interfere above alignment equation can obtain, meet the decoding matrix of the macrocell service user of condition, can be according to the following formula
Building:
Wherein, ZoIndicate the signal space square that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Battle array, o=1,2,It indicates in o group macrocell service userThe N ' of a macrocell service userr×dmDimension solution
Code matrix,NrIndicate the receiving antenna number of macrocell service user, dmIndicate the base station of macrocell configuration to every
The data flow number of a macrocell service user's transmitting,Indicating relation belonging to, null expression takes kernel to operate,Indicate Nt
×NtUnit matrix is tieed up,Indicate the base station and the of o-th of Microcell configurationA macrocell service
N ' between the transmission link of userr×NtChannel matrix is tieed up, H indicates conjugate transposition operation.
By the solvability of kernel, for the decoding matrix for ensuring macrocell service userDimension N 'r×dm,
Condition need to be met:
Wherein, K indicates that macrocell services number of users, NtIndicate the transmitting antenna number of the base station of macrocell configuration, dmIndicate macro
Data fluxion of the base station of cell configuration to the service user's transmitting of each macrocell.
Step 9, the pre-coding matrix of the base station of building Microcell configuration.
According to the following formula, construct first and second Microcell configuration base station pre-coding matrix, eliminate first with
The Base Transmitter signal of second Microcell configuration services the small of user to K macrocell service user and L-1 Microcell
Section interference:
Wherein, VoBe o-th of Microcell configuration base station pre-coding matrix, o=1,2,Indicate relation belonging to, null
Expression takes kernel to operate, ZoIndicate the signal subspace that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Space matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate N 'r×MtO-th of Microcell is tieed up to match
The base station set and theChannel matrix between a macrocell service user's transmission link, MtIndicate the base station of macrocell configuration
Transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,AndIndicate Nr
×NtTie up the base station and the of o-th of Microcell configurationChannel matrix between a Microcell service user's transmission link.
According to the following formula, the pre-coding matrix for constructing the base station of the 3~L Microcell configuration, eliminates the 3~L Microcell
Inter-cell interference of the base station of configuration to macrocell service user and the inter-cell interference to Microcell service user:
Wherein,It isThe pre-coding matrix of the base station of a Microcell configuration,Expression belongs to pass
System, null expression take kernel to operate,Indicate theThe decoding matrix of a macrocell service user,H indicates conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theA macrocell
Service the N ' between user's transmission linkr×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,
Indicate theThe decoding matrix of a Microcell service user,And Indicate theThe base of a Microcell configuration
It stands and theN between a Microcell service user's transmission linkr×NtTie up channel matrix.
By the solvability of kernel, to ensure that the dimension of pre-coding matrix of base station of Microcell configuration is Nr×dp, need to expire
Sufficient condition:
Nt-Kdm-(L-1)dp≥dp
Wherein, NtIndicate the transmitting antenna number of the base station of Microcell configuration, K indicates that the macrocell of system setting services user
Number, dmIndicate data fluxion of the base station to the service user's transmitting of each macrocell of macrocell configuration, L indicates the micro- of system setting
Cell number, dpIndicate that the base station of Microcell configuration to the data fluxion of Microcell service user's transmitting, goes to step (12).
Step 10, the decoding matrix of building macrocell service user.
K macrocell service user is grouped, per (K-1)/2, a macrocell service user is one group, is obtained 2
Group, k-th macrocell service user are not belonging to any group of.
R-th of base station is snapped into a signal space to the interference of r group macrocell service user:
Wherein, ZrIndicate the signal space square that r group macrocell service user is interfered in the base station of r-th of Microcell configuration
Battle array, r=1,2,Indicate the base station and the of r-th of Microcell configurationA macrocell service is used
N ' between the transmission link at familyr×NtChannel matrix is tieed up,NtIndicate the transmitting of the base station of Microcell configuration
Antenna number, the space of span representing matrix,It indicates in r group macrocell service userA macrocell
Service the decoding matrix of user.
By interfere above alignment equation can obtain, meet the decoding matrix of the 1~K-1 macrocell service user of condition,
It can construct according to the following formula:
Wherein, ZrIndicate the signal space square that r group macrocell service user is interfered in the base station of r-th of Microcell configuration
Battle array, r=1,2,It indicates in r group macrocell service userThe decoding matrix of a macrocell service user,Indicating relation belonging to, null expression takes kernel to operate,Indicate Nt×NtUnit matrix is tieed up,Indicate the base station and the of r-th of Microcell configurationThe chain of a macrocell service user
N ' between roadr×NtChannel matrix is tieed up, H indicates conjugate transposition operation.
By the solvability of kernel, for the decoding matrix for ensuring macrocell service userDimension N 'r×
dm, condition need to be met:
Wherein, K indicates that macrocell services number of users, NtIndicate the transmitting antenna number of the base station configuration of Microcell configuration, dmTable
Show the data fluxion that the base station of macrocell configuration emits each macrocell service user.
Due to k-th macrocell service user be not belonging to it is any group of, so to k-th macrocell service user appoint take one
A N 'r×dmTie up matrix UL+KAs decoding matrix, need to only it meet condition: rank (UL+K)=dm。
Step 11, the pre-coding matrix of the base station of building Microcell configuration.
According to the following formula, construct first and second Microcell configuration base station pre-coding matrix, eliminate first with
The Base Transmitter signal of second Microcell configuration services the small of user to K macrocell service user and L-1 Microcell
Section interference:
Wherein, VrBe r-th of Microcell configuration base station pre-coding matrix, r=1,2,Indicate relation belonging to, null
Expression takes kernel to operate, ZrIndicate the signal subspace that r group macrocell service user is interfered in the base station of r-th of Microcell configuration
Space matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate r-th of Microcell configuration
Base station and theN ' between a macrocell service user's transmission linkr×NtTie up channel matrix, NtIndicate Microcell configuration
Base station transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,And
Indicate the base station and the of m-th of Microcell configurationN between a Microcell service user's transmission linkr×NtTie up channel matrix.
According to the following formula, the pre-coding matrix for constructing the base station of the 3~L Microcell configuration, eliminates the 3~L Microcell
Inter-cell interference of the Base Transmitter signal of configuration to K macrocell service user and L-1 Microcell service user:
Wherein,It isThe N of the base station of a Microcell configurationt×dpPre-coding matrix is tieed up,NtIndicate micro-
The transmitting antenna number of the base station of cell configuration, dpIndicate data flow of the base station to Microcell service user's transmitting of Microcell configuration
Number,Indicating relation belonging to, null expression takes kernel to operate,Indicate theThe decoding square of a macrocell service user
Battle array,H indicates conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theIt is a macro small
Area services the N ' between user's transmission linkr×NtChannel matrix is tieed up,Indicate theThe decoding square of a Microcell service user
Battle array,AndIndicate theThe base station of a Microcell configuration and theA Microcell services user's chain
N between roadr×NtTie up channel matrix.
By the solvability of kernel, to ensure that the dimension of pre-coding matrix of base station of Microcell configuration is Nr×dp, need to expire
Sufficient condition:
Nt-Kdm-(L-1)dp≥dp
Wherein, NtIndicate the transmitting antenna number of the base station of Microcell configuration, K indicates that the macrocell of system setting services user
Number, dmIndicate data fluxion of the base station to the service user's transmitting of each macrocell of macrocell configuration, L indicates the micro- of system setting
Cell number, dpIndicate data fluxion of the base station to Microcell service user's transmitting of Microcell configuration.
Step 12, the pre-coding matrix of the base station of building macrocell configuration.
According to the following formula, the pre-coding matrix of the base station of building macrocell configuration eliminates the base station of macrocell configuration to small
Area services the inter-user interference in the inter-cell interference and macrocell of user:
Wherein, VcIndicate M of the base station to the c-L macrocell service user of macrocell configurationt×dmTie up precoding square
Battle array, L+1≤c≤L+K, MtIndicate the transmitting antenna number of the base station of macrocell configuration, dmIndicate the base station of macrocell configuration to macro small
Area services the data fluxion of user's transmitting,Indicate relation belonging to, null expression takes kernel to operate, ZL+1Indicate that macrocell is matched
Signal subspace matrix of the base station set to L Microcell service user's interference, UgIndicate the g-L macrocell service user's
Decoding matrix, L+1≤g≤L+K and g ≠ c, H indicate conjugate transposition operation,Indicate base station and the g- of macrocell configuration
N ' between L macrocell service user's transmission linkr×MtTie up channel matrix.
By the solvability of kernel, to ensure VcDimension be Mt×dm, condition need to be met:
Mt-dp-(K-1)dm≥dm
Wherein, MtIndicate the transmitting antenna number of the base station configuration of macrocell configuration, dpIndicate the base station of Microcell configuration to micro-
The data fluxion of cell serves user transmitting, K indicate that the macrocell of system setting services number of users, dmIndicate macrocell configuration
To the data fluxion of each macrocell service user's transmitting, L is the number of Microcell for base station.
The pre-coding matrix and decoding matrix in heterogeneous network are designed through the above steps, can be eliminated in heterogeneous network
Interference.
Effect of the invention can be further illustrated by following simulation result:
1. simulated conditions: setting the base station day that macrocell service number of users, Microcell number, the macrocell of system configuration configure
Line number and user antenna number (K, L, Mt,Nt,Nr) it is (6,3,10,8,6) and (5,2,9,9,6).
2. emulation content:
Emulation 1. with the present invention and it is existing based on interference alignment linear transceiver design method system parameter (K, L,
Mt,Nt,Nr) when being (6,3,10,8,6), the Mean Speed of user in system is emulated, as a result as shown in Figure 4, wherein horizontal
Coordinate representation signal-to-noise ratio, ordinate indicate user's Mean Speed, with "" mark curve indicate apply multiple cell MIMO of the present invention
User's Mean Speed that down isomeric network interferences removing method is reached under corresponding signal-to-noise ratio, is indicated with the curve that " * " is identified
The user's Mean Speed reached under corresponding signal-to-noise ratio using the linear transceiver design method based on interference alignment.It can from Fig. 4
To find out: when signal-to-noise ratio is greater than 15dB, being reached using multiple cell MIMO down isomeric network interferences removing method of the present invention
User's Mean Speed be higher than based on interference alignment linear transceiver design method user's Mean Speed achieved.
Linear transceiver design method of the emulation 2. with the present invention and based on interference alignment is in system parameter (K, L, Mt,Nt,
Nr) when being chosen to be (5,2,9,9,6), the user's Mean Speed obtained to system emulates, as a result as shown in Figure 5, wherein horizontal
Coordinate representation signal-to-noise ratio, ordinate indicate user's Mean Speed, with "" mark curve indicate apply multiple cell MIMO of the present invention
User's Mean Speed that down isomeric network interferences removing method is reached under corresponding signal-to-noise ratio, is indicated with the curve that " * " is identified
The user's Mean Speed reached under corresponding signal-to-noise ratio using the linear transceiver design method based on interference alignment.It can from Fig. 5
To find out: when signal-to-noise ratio is greater than 15dB, being reached using multiple cell MIMO down isomeric network interferences removing method of the present invention
User's Mean Speed be higher than based on interference alignment linear transceiver design method user's Mean Speed achieved.
Claims (3)
1. a kind of multiple cell MIMO down isomeric network interferences removing method, includes the following steps:
(1) system parameter is set:
1 macrocell and L Microcell, L >=2 are arranged in a MIMO down isomeric network in (1a)；
(1b) sets 1 for the base station number that each Microcell configures, and the base station number of macrocell configuration is set as 1；
(1c) sets 1 for each Microcell service number of users, and macrocell services number of users K, K >=4；
(2) decoding matrix of building Microcell service user:
The interference for the L Microcell service user that (2a) system is arranged in the base station that macrocell configures, snaps to a signal
In subspace；
(2b) according to the following formula, constructs the decoding matrix of each Microcell service user:
Wherein, ZL+1Indicate signal subspace matrix of the base station of macrocell configuration to L Microcell service user's interference, L+1 table
The base station for showing macrocell configuration is the base station L+1, U in MIMO down isomeric networkiIndicate the N of i-th of Microcell service userr
×dpDimensional decoding matrix, i=1,2 ..., L, NrIndicate the receiving antenna number of Microcell service user, dpIndicate Microcell configuration
Base station to Microcell service user transmitting data flow number,Indicating relation belonging to, null expression takes kernel to operate,
Indicate Mt×MtUnit matrix is tieed up,Indicate the base station of macrocell configuration and i-th Microcell service user transmission link it
Between channel matrix, H indicate conjugate transposition operation；
(3) judge the size relation of macrocell service number of users K and Microcell number L: if K >=2L and K/L is an integer,
It executes step (4)；If K >=2L and K/L are not an integers, (6) are thened follow the steps；If K < 2L and K are even number,
It executes step (8)；If K < 2L and K are odd number, (10) are thened follow the steps；
(4) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (4a), and every K/L macrocell service user is one group, obtains L group, successively
It is set as 1~L group；
Interference of the base station that (4b) configures m-th of Microcell to m group macrocell service user, snaps to a signal subspace sky
Between；
(4c) according to the following formula, building macrocell services the decoding matrix of user:
Wherein, ZmIndicate the signal subspace matrix that m group macrocell service user is interfered in the base station of m-th of Microcell configuration,
1≤m≤L,Indicate theThe N ' of a macrocell service userr×dmDimensional decoding matrix, Indicate theA macrocell service user is MIMO down isomeric
User in networkN′rIndicate the receiving antenna number of macrocell service user, N'r=Nr, dmIndicate macro
The data flow number that the base station of cell configuration emits each macrocell service user,Indicate relation belonging to, null expression takes
Kernel operation,Indicate Nt×NtTie up unit matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,Indicate the base station and the of m-th of Microcell configurationThe transmission link of a macrocell service user
Between N 'r×NtChannel matrix is tieed up, H indicates conjugate transposition operation；
(5) pre-coding matrix of the base station of building Microcell configuration:
According to the following formula, the pre-coding matrix for constructing the base station of each Microcell configuration, eliminates the base of each Microcell configuration
The inter-cell interference stood to K macrocell service user and L-1 Microcell service user:
Wherein, VmIt is the N of the base station of m-th of Microcell configurationt×dpDimension pre-coding matrix, m=1,2 ..., L+1,It indicates to belong to
In relationship, null expression takes kernel to operate, ZmIndicate the base station of m-th of Microcell configuration to m group macrocell service user
The signal subspace matrix of interference, UaIndicate that the decoding matrix of the a-L macrocell service user, a indicate the a-L macrocell
Servicing user is user a, L+1≤a≤L+K and a ≠ L+ (m-1) K/L+1 ..., L+mK/ in MIMO down isomeric network
L, H indicate conjugate transposition operation,Indicate the base station and the a-L macrocell service user's chain that m-th of Microcell configures
N ' between roadr×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration, UbIndicate b-th of Microcell
The decoding matrix of user, 1≤b≤L and b ≠ m are serviced,Indicate the base station and b-th of Microcell of the configuration of m-th of Microcell
Service the N between user's transmission linkr×NtChannel matrix is tieed up, step (12) are gone to；
(6) decoding matrix of building macrocell service user:
(6a) is grouped macrocell service user, and every t macrocell service user is one group, It indicates
L group is obtained in downward floor operation, is successively denoted as 1~L group, and the Lt+1~K macrocell service user is not belonging to any one
Group；
(6b) constructs the decoding matrix of each macrocell service user, and the base station that q-th of Microcell is configured is macro to q group small
The interference of area's service user snaps to a signal space；
(7) pre-coding matrix of the base station of building Microcell configuration:
According to the following formula, the pre-coding matrix for constructing the base station of each Microcell configuration, eliminates the base of each Microcell configuration
The inter-cell interference stood to K macrocell service user and L-1 Microcell service user:
Wherein, VqBe q-th of Microcell configuration base station pre-coding matrix, q=1,2 ..., L,Indicate relation belonging to,
Null expression takes kernel to operate, ZqIndicate the letter that q group macrocell service user is interfered in the base station of q-th of Microcell configuration
Number space matrix,Indicate theThe decoding matrix of a macrocell service user, a ≠ L+ (q-1) t+1 ..., L+qt and Indicate that the macrocell service number of users in every group, H indicate conjugate transposition operation,It indicates
The base station and the of q-th of Microcell configurationN ' between a macrocell service user's transmission linkr×NtChannel matrix is tieed up,
NtIndicate the transmitting antenna number of the base station of Microcell configuration,Indicate theThe decoding matrix of a Microcell service user,And Indicate the base station and the of q-th of Microcell configurationA Microcell service user's transmission link it
Between Nr×NtChannel matrix is tieed up, step (12) are gone to；
(8) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (8a), and every K/2 macrocell service user is one group, obtains 2 groups, successively
It is denoted as the 1st, 2 group；
(8b) according to the following formula, constructs the decoding matrix of K macrocell service user, by o-th of base station to o group macrocell service
The interference of user snaps to a signal subspace:
Wherein, ZoIndicate the signal space matrix that o group macrocell service user is interfered in the base station of o-th of Microcell configuration, o
=1,2,It indicates in o group macrocell service userThe N ' of a macrocell service userr×dmDimensional decoding square
Battle array,dmIndicate data flow number of the base station to the service user's transmitting of each macrocell of macrocell configuration,Table
Show relation belonging to, null expression takes kernel to operate,Indicate Nt×NtUnit matrix is tieed up,Indicate o-th it is small
The base station and the of area's configurationN ' between the transmission link of a macrocell service userr×NtChannel matrix is tieed up,
H indicates conjugate transposition operation；
(9) pre-coding matrix of the base station of building Microcell configuration:
(9a) according to the following formula, building first and second Microcell configuration base station pre-coding matrix, eliminate first with
The base station of second Microcell configuration is respectively to the minizone of K macrocell service user and L-1 Microcell service user
Interference:
Wherein, VoBe o-th of Microcell configuration base station pre-coding matrix, o=1,2,Indicate that relation belonging to, null indicate
Kernel is taken to operate, ZoIndicate the signal subspace that o group macrocell service user is interfered in the base station of o-th of Microcell configuration
Matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate N 'r×MtO-th of Microcell is tieed up to match
The base station set and theChannel matrix between a macrocell service user's transmission link, MtIndicate the base station of macrocell configuration
Transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,And Indicate Nr×
NtTie up the base station and the of o-th of Microcell configurationChannel matrix between a Microcell service user's transmission link；
(9b) according to the following formula, the pre-coding matrix of the base station of the 3~L Microcell of building configuration eliminates the 3~L Microcell
The base station of configuration services the inter-cell interference of user to K macrocell respectively and to the inter-cell interference of Microcell service user:
Wherein,It isThe pre-coding matrix of the base station of a Microcell configuration, Indicate relation belonging to, null
Expression takes kernel to operate,Indicate theThe decoding matrix of a macrocell service user,H is indicated
Conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theBetween a macrocell service user's transmission link
N 'r×NtTie up channel matrix, NtIndicate the transmitting antenna number of the base station of Microcell configuration,Indicate theA Microcell service
The decoding matrix of user,And Indicate theThe base station of a Microcell configuration and theA Microcell service
N between user's transmission linkr×NtChannel matrix is tieed up, step (12) are gone to；
(10) decoding matrix of building macrocell service user:
K macrocell service user is grouped by (10a), and per (K-1)/2, a macrocell service user is one group, is obtained 2
Group is successively denoted as the 1st, 2 group, and k-th macrocell service user is not belonging to any group of；
(10b) constructs the decoding matrix of macrocell service user, makes interference of r-th of base station to r group macrocell service user
Snap to a signal space；
(11) pre-coding matrix of the base station of building Microcell configuration:
(11a) according to the following formula, building first and second Microcell configuration base station pre-coding matrix, eliminate first with
The Base Transmitter signal of second Microcell configuration services the small of user to K macrocell service user and L-1 Microcell
Section interference:
Wherein, VrBe r-th of Microcell configuration base station pre-coding matrix, r=1,2,Indicate that relation belonging to, null indicate
Kernel is taken to operate, ZrIndicate the signal subspace that r group macrocell service user is interfered in the base station of r-th of Microcell configuration
Matrix,Indicate theThe decoding matrix of a macrocell service user,AndH indicates conjugate transposition operation,Indicate r-th of Microcell configuration
Base station and theN ' between a macrocell service user's transmission linkr×NtTie up channel matrix, NtIndicate Microcell configuration
Base station transmitting antenna number,Indicate theThe decoding matrix of a Microcell service user,And Table
Show the base station and the of m-th of Microcell configurationN between a Microcell service user's transmission linkr×NtTie up channel matrix；
(11b) according to the following formula, the pre-coding matrix of the base station of the 3~L Microcell of building configuration eliminates the 3~L Microcell
Inter-cell interference of the base station of configuration to K macrocell service user and L-1 Microcell service user:
Wherein,It isThe N of the base station of a Microcell configurationt×dpPre-coding matrix is tieed up,NtIndicate Microcell
The transmitting antenna number of the base station of configuration, dpIndicate data fluxion of the base station to Microcell service user's transmitting of Microcell configuration,
Indicating relation belonging to, null expression takes kernel to operate,Indicate theThe decoding matrix of a macrocell service user,H indicates conjugate transposition operation,Indicate theThe base station of a Microcell configuration and theA macrocell
Service the N ' between user's transmission linkr×NtChannel matrix is tieed up,Indicate theThe decoding matrix of a Microcell service user,And Indicate theThe base station of a Microcell configuration and theA Microcell service user's transmission link it
Between Nr×NtTie up channel matrix；
(12) pre-coding matrix of the base station of building macrocell configuration:
According to the following formula, the pre-coding matrix to each macrocell service user of the base station of building macrocell configuration, is eliminated macro small
The base station of area's configuration is to the inter-user interference in the inter-cell interference and macrocell of Microcell service user:
Wherein, VcIndicate M of the base station to the c-L macrocell service user of macrocell configurationt×dmTie up pre-coding matrix, L+1
≤c≤L+K,MtIndicate the transmitting antenna number of the base station of macrocell configuration, dmIndicate the base station of macrocell configuration to macrocell service
The data fluxion of user's transmitting,Indicate relation belonging to, null expression takes kernel to operate, ZL+1Indicate the base of macrocell configuration
The signal subspace matrix stood to L Microcell service user's interference, UgIndicate the decoding square of the g-L macrocell service user
Battle array, L+1≤g≤L+K and g ≠ c, H indicate conjugate transposition operation,Indicate that base station and the g-L of macrocell configuration are a macro small
Area services the N ' between user's transmission linkr×MtTie up channel matrix.
2. multiple cell MIMO down isomeric network interferences removing method according to claim 1, which is characterized in that step
Specific step is as follows for the decoding matrix of K macrocell service user of building described in (6b):
The first step, the interference by q-th of base station to q group macrocell service user, snaps to a signal subspace；
Second step, according to the following formula, the decoding matrix of building q group macrocell service user:
Wherein, ZqIndicate the signal subspace matrix that q group macrocell service user is interfered in the base station of q-th of Microcell configuration,
1≤q≤L,It indicates in q group macrocell service userThe N ' of a macrocell service userr×dmDimensional decoding square
Battle array,dmIndicate data fluxion of the base station to the service user's transmitting of each macrocell of macrocell configurationIndicating relation belonging to, null expression takes kernel to operate,Indicate Nt×NtTie up unit matrix, NtIndicate macrocell configuration
The transmitting antenna number of base station configuration,Indicate the base station and the of q-th of Microcell configurationA macrocell clothes
N ' between the transmission link of business userr×NtChannel matrix is tieed up, H indicates conjugate transposition operation；
Third step appoints the Lt+1~K macrocell service user and takes a N 'r×dmTie up matrixAs decoding matrix,Need to only condition be met:
3. multiple cell MIMO down isomeric network interferences removing method according to claim 1, which is characterized in that step
Specific step is as follows for the decoding matrix of the service user of building macrocell described in (10b):
The first step constructs the decoding matrix of the 1~K-1 macrocell service user according to the following formula:
Wherein, ZrIndicate the signal space matrix that r group macrocell service user is interfered in the base station of r-th of Microcell configuration, r
=1,2,It indicates in r group macrocell service userThe decoding matrix of a macrocell service user, Expression takes a matrix in space of matrices, and null expression takes kernel to operate,Indicate Nt×Nt
Unit matrix is tieed up,Indicate the base station and the of r-th of Microcell configurationA macrocell service is used
N ' between the transmission link at familyr×NtChannel matrix is tieed up, H indicates conjugate transposition operation；
Second step appoints k-th macrocell service user and takes a N 'r×dmTie up matrix UL+KAs decoding matrix, only need to meet
Condition: rank (UL+K)=dm。
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