Method for reducing interference at a terminal of a wireless cellular network, wireless cellular network, node and central node of a wireless network
A method for reducing interference at a terminal of a wireless cellular network is described. The terminal experiences interference from a plurality of interfering nodes in the wireless cellular network. The method includes selecting the precoders of the interfering nodes such that the sum of distances between the interference projector matrices for the terminal is minimized.
1. A method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of the interfering nodes such that a sum of distances between an interference projector matrices for the terminal is minimized,
wherein an interference projector matrix corresponding to an interference subspace between an interfering node l and a terminal k is an orthogonal projector onto a column space of H kl F l ,
wherein
H kl =channel matrix of a channel between the interfering node l and the terminal k,
F l =precoder matrix of the interfering node l.
2. The method of claim 1 , wherein the interference projector matrix corresponds to a unique receive interference subspace between the terminal and the interfering node.
3. The method of claim 1 , wherein the interference projector matrix is a function of the precoder matrix of the interfering node and the channel matrix of the channel from the interfering node to the terminal.
4. The method of claim 1 , wherein the interference projector matrix is determined as follows:
P kl =H kl F l ( F l H H kl H H kl F l ) −1 F l H H kl H .
5. The method of claim 4 , wherein the wireless cellular network comprises a plurality of terminals, and wherein the precoders are designed such that the sum of distances of the interference projector matrices over all terminals is minimized.
6. The method of claim 5 , wherein the precoders of the interfering nodes are designed as follows:
(
F
1
,
…
,
F
K
)
=
arg
min
(
F
1
,
…
,
F
K
)
[
sum
of
distances
of
interference
projector
matrices
over
all
terminals
]
=
arg
min
(
F
1
,
…
,
F
K
)
∑
k
=
1
K
∑
l
=
1
,
l
≠
k
K
∑
m
=
1
,
m
≠
{
l
,
k
}
K
P
kl
-
P
km
2
wherein
F l , . . . , F K =precoder matrices of interfering nodes 1 to K,
P kl =interference projector matrix corresponding to an interference subspace between an interfering node l and a terminal k,
P km =interference projector matrix corresponding to an interference subspace between an interfering node m and the terminal k,
∥P kl −P km ∥ 2 =distance between interference projector matrices.
7. A method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein receive interference subspaces are adjusted iteratively until an alignment of the receive interference subspaces is reached,
wherein the precoders are calculated by an alternating minimization algorithm,
wherein at each iteration one precoder is calculated using a predefined method and its corresponding projector matrices are updated, wherein a next precoder is calculated based on the updated projector matrices, until convergence, and
wherein for fixed precoders F m ∀m≠l, an optimal precoder F l,opt is chosen as follows:
F
l
,
opt
=
arg
min
F
l
∑
k
≠
l
∑
m
≠
{
l
,
k
}
P
kl
-
P
km
F
2
wherein index k refers to the terminal, while indices l, m refer to the interfering nodes, wherein projector matrix P kl depends on precoder F l , and wherein P km depends on precoder F m , and wherein ∥P kl −P km ∥ F is the Frobenius norm of P kl −P km .
8. The method of claim 7 , wherein the nodes are connected over a backhaul network, and wherein an iterative calculation is performed in a central node of the wireless cellular network, or wherein the iterative calculation is distributed over a plurality of nodes of the wireless cellular network.
9. A method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein a receive filter in the terminal is selected independent of a design of the precoders at the interfering nodes, and
wherein, dependent on a network specification, a minimum mean-square-error, an interference-rejection-combining or a zero-forcing receiving filter is chosen.
10. A non-transitory computer program product comprising instructions stored on a machine-readable medium for performing a method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
when the instructions are executed on a computer,
wherein an interference projector matrix corresponding to an interference subspace between an interfering node l and a terminal k is an orthogonal projector onto a column space of H kl F l ,
wherein
H kl =channel matrix of a channel between the interfering node l and the terminal k,
F l =precoder matrix of the interfering node l.
11. A wireless cellular network, comprising:
a plurality of nodes; and
a terminal experiencing interference from at least some of the plurality of nodes,
wherein the wireless cellular network is configured to provide for a selection of precoders of nodes interfering with the terminal such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein an interference projector matrix corresponding to an interference subspace between an interfering node l and a terminal k is an orthogonal projector onto a column space of H kl F l ,
wherein
H kl =channel matrix of the channel between the interfering node l and the terminal k,
F l =precoder matrix of the interfering node l.
12. The wireless cellular network of claim 11 , comprising:
a backhaul network connecting the plurality of nodes, wherein the plurality of nodes are adapted to provide for a calculation of the precoders distributed among the plurality of nodes.
13. The wireless cellular network of claim 11 , comprising:
a central node; and
a backhaul network connecting the plurality of nodes and the central node,
wherein the central node is configured to provide for a centralized calculation of the precoders for the interfering nodes.
14. A node of a wireless cellular network, wherein the wireless cellular network comprises a terminal experiencing interference from the node and from one or more other interfering nodes in the network,
wherein the precoders of the interfering nodes are selected such that the sum of distances between the interference projector matrices for the terminal is minimized, and
wherein, after each iteration, the node is configured to calculate its precoder, to update its projector matrix accordingly, and to signal its updated projector matrix to all other interfering nodes.
15. A central node for a wireless cellular network comprising a plurality of nodes, a backhaul network connecting the plurality of nodes and the central node, and a terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, wherein the central node is configured to select precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein an interference projector matrix corresponding to an interference subspace between an interfering node l and a terminal k is a orthogonal projector onto a column space of H kl F l ,
wherein
H kl =channel matrix of a channel between the interfering node l and the terminal k,
F l =precoder matrix of the interfering node l.
16. A non-transitory computer program product comprising instructions stored on a machine-readable medium for performing a method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized, when the instructions are executed on a computer,
wherein receive interference subspaces are adjusted iteratively until an alignment of the receive interference subspaces is reached,
wherein the precoders are calculated by an alternating minimization algorithm, wherein at each iteration one precoder is calculated using a predefined method and its corresponding projector matrices are updated,
wherein a next precoder is calculated based on the updated projector matrices, until convergence, and
wherein for fixed precoders F m ∀m≠l, an optimal precoder F l,opt is chosen as follows:
F
l
,
opt
=
arg
min
F
l
∑
k
≠
l
∑
m
≠
{
l
,
k
}
P
kl
-
P
km
F
2
wherein index k refers to the terminal, while indices l, m refer to the interfering nodes, wherein projector matrix P kl depends on precoder F l , and wherein P km depends on precoder F m , and wherein ∥P kl −P km ∥ F is a Frobenius norm of P kl −P km .
17. A non-transitory computer program product comprising instructions stored on a machine-readable medium for performing a method for reducing interference at a terminal of a wireless cellular network, the terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, the method comprising:
selecting precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized, when the instructions are executed on a computer,
wherein a receive filter in the terminal is selected independent of a design of the precoders at the interfering nodes, and
wherein, dependent on a network specification, a minimum mean-square-error, an interference-rejection-combining or a zero-forcing receiving filter is chosen.
18. A wireless cellular network, comprising:
a plurality of nodes; and
a terminal experiencing interference from at least some of the plurality of nodes,
wherein the wireless cellular network is configured to provide for a selection of precoders of nodes interfering with the terminal such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein receive interference subspaces are adjusted iteratively until an alignment of the receive interference subspace is reached,
wherein the precoders are calculated by an alternating minimization algorithm, wherein at each iteration one precoder is calculated using a predefined method and its corresponding projector matrices are updated, wherein a next precoder is calculated based on the updated projector matrices, until convergence, and
wherein for fixed precoders F m ∀m≠l, an optimal precoder F l,opt is chosen as follows:
F
l
,
opt
=
arg
min
F
l
∑
k
≠
l
∑
m
≠
{
l
,
k
}
P
kl
-
P
km
F
2
wherein index k refers to the terminal, while indices l, m refer to the interfering nodes, wherein projector matrix P kl depends on precoder F l , and wherein P km depends on precoder F m , and wherein ∥P kl −P km ∥ F is a Frobenius norm of P kl −P km .
19. A wireless cellular network, comprising:
a plurality of nodes; and
a terminal experiencing interference from at least some of the plurality of nodes,
wherein the wireless cellular network is configured to provide for a selection of precoders of nodes interfering with the terminal such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein a receive filter in the terminal is selected independent of a design of the precoders at the interfering nodes, and
wherein, dependent on a network specification, a minimum mean-square-error, an interference-rejection-combining or a zero-forcing receiving filter is chosen.
20. A central node for a wireless cellular network comprising: a plurality of nodes, a backhaul network connecting the plurality of nodes and a central node, and a terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, wherein the central node is configured to select precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein receive interference subspaces are adjusted iteratively until an alignment of the receive interference subspace is reached,
wherein the precoders are calculated by an alternating minimization algorithm, wherein at each iteration one precoder is calculated using a predefined method and its corresponding projector matrices are updated, wherein the next precoder is calculated based on an updated projector matrices, until convergence, and
wherein for fixed precoders F m ∀m≠l, an optimal precoder F l,opt is chosen as follows:
F
l
,
opt
=
arg
min
F
l
∑
k
≠
l
∑
m
≠
{
l
,
k
}
P
kl
-
P
km
F
2
wherein index k refers to the terminal, while indices l, m refer to the interfering nodes, wherein projector matrix P kl depends on precoder F l , and wherein P km depends on precoder F m , and wherein ∥P kl−P km ∥ F is a Frobenius norm of P kl −P km .
21. A central node for a wireless cellular network comprising a plurality of nodes, a backhaul network connecting the plurality of nodes and the central node, and a terminal experiencing interference from a plurality of interfering nodes in the wireless cellular network, wherein the central node is configured to select precoders of the interfering nodes such that a sum of distances between interference projector matrices for the terminal is minimized,
wherein a receive filter in the terminal is selected independent of a design of the precoders at the interfering nodes, and
wherein, dependent on a network specification, a minimum mean-square-error, an interference-rejection-combining or a zero-forcing receiving filter is chosen.