Method for transmitting 4-antenna precoding matrix, user equipment and base station
The present invention discloses a method for transmitting a 4-antenna precoding matrix, a user equipment, and a base station. The method includes determining a rank used for indicating the number of transmission layers, determining a first precoding matrix in a codebook set corresponding to the rank, determining a first PMI and a second PMI used for indicating the first precoding matrix, and sending the first PMI and the second PMI used for indicating the first precoding matrix to a base station.
1. A method for transmitting a 4-antenna precoding matrix, comprising:
determining a rank used for indicating a number of transmission layers;
determining a value of a first codebook index corresponding to one precoding matrix set in a codebook set, wherein the codebook set corresponds to the rank, and precoding matrices comprised in the codebook set are represented by the first codebook index and a second codebook index;
determining a jointly coded value corresponding to the rank and the value of the first codebook index, wherein the jointly coded value and the rank have a first correspondence, and the jointly coded value and the first codebook index have a second correspondence; and
sending the jointly coded value to a base station, wherein the precoding matrices (W) comprised in the codebook set satisfy the equation:
W=W 1 ×W 2 ;
wherein:
W
1
=
[
X
n
0
0
X
n
]
,
X
n
=
[
1
1
1
1
q
1
n
q
1
n
+
8
q
1
n
+
16
q
1
n
+
24
]
,
q
1
=
ⅇ
j
2
π
/
32
,
and a value range of n is a set {0, 1, 2, 3, 4, 5, 6, 7}, {8, 9, 10, 11, 12, 13, 14, 15}, {0, 2, 4, 6}, {1, 3, 5, 7}, {8, 10, 12, 14}, or {9, 11, 13, 15}; and
the first codebook index corresponds to one value of n, wherein the correspondence between the jointly coded value and the rank, and the correspondence between the jointly coded value and the first codebook index are determined according to the following Table D:
TABLE D
I RI/PMIl
RI
i 1
0-7
1
I RI/PMIl
8-15
2
I RI/PMIl − 8
wherein I RI/PMI1 represents the jointly coded value, RI represents the rank, and i 1 represents the first codebook index.
2. The method according to claim 1 , wherein when the rank is determined to be 1, and W 2 satisfies the following equation:
W
2
∈
{
1
A
[
Y
α
(
ⅈ
)
Y
]
,
1
A
[
Y
jα
(
ⅈ
)
Y
]
,
1
A
[
Y
-
α
(
ⅈ
)
Y
]
,
1
A
[
Y
-
jα
(
ⅈ
)
Y
]
}
,
wherein Yε{e 1 ,e 2 ,e 3 ,e 4 }, α(i)=q 1 2(i−1) , and when Y is e 1 , α(i) is α(1), when Y is e 2 , α(i) is α(2), when Y is e 3 , α(i) is α(3), when Y is e 4 , α(i) is α(4), e i represents a column vector with a dimension of 4×1, wherein an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and A is a constant.
3. The method according to claim 1 , wherein the rank is determined to be 2, and W 2 satisfies the following equation:
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
,
(
e
1
,
e
2
)
,
(
e
2
,
e
3
)
,
(
e
1
,
e
4
)
,
(
e
2
,
e
4
)
}
;
or
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
-
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
2
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
2
-
Y
1
]
,
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
3
)
,
(
e
2
,
e
4
)
,
(
e
3
,
e
1
)
,
(
e
4
,
e
2
)
}
wherein e i represents a column vector with a dimension of 4×1, an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and B is a constant.
4. A method for transmitting a 4-antenna precoding matrix, comprising:
receiving a jointly coded value sent by a user equipment; and
determining a value of a first codebook index and a rank used for indicating a number of transmission layers according to the jointly coded value, a correspondence between the jointly coded value and the rank, and a correspondence between the jointly coded value and the first codebook index, wherein:
the value of the first codebook index corresponds to one precoding matrix set in a codebook set, the codebook set corresponds to the rank, precoding matrices (W) comprised in the codebook set are represented by the first codebook index and a second codebook index, and the precoding matrices (W) comprised in the codebook set satisfy the equation W=W 1 ×W 2 ;
wherein:
W
1
=
[
X
n
0
0
X
n
]
,
X
n
=
[
1
1
1
1
q
1
n
q
1
n
+
8
q
1
n
+
16
q
1
n
+
24
]
,
q
1
=
ⅇ
j
2
π
/
32
,
and a value range of n is a set {0, 1, 2, 3, 4, 5, 6, 7}, {8, 9, 10, 11, 12, 13, 14, 15}, {0, 2, 4, 6}, {1, 3, 5, 7}, {8, 10, 12, 14}, or {9, 11, 13, 15}; and
the first codebook index corresponds to one value of n, wherein the correspondence between the jointly coded value and the rank, and the correspondence between the jointly coded value and the first codebook index are determined according to the following Table D:
TABLE D
I RI/PMIl
RI
i 1
0-7
1
I RI/PMIl
8-15
2
I RI/PMIl − 8
wherein I RI/PMI1 represents the jointly coded value, RI represents the rank, and i 1 represents the first codebook index.
5. The method according to claim 4 , wherein the rank is determined to be 1, and W 2 satisfies the following equation:
W
2
∈
{
1
A
[
Y
α
(
ⅈ
)
Y
]
,
1
A
[
Y
jα
(
ⅈ
)
Y
]
,
1
A
[
Y
-
α
(
ⅈ
)
Y
]
,
1
A
[
Y
-
jα
(
ⅈ
)
Y
]
}
,
wherein Yε{e 1 ,e 2 ,e 3 ,e 4 }, α(i)=q 1 2(i−1) , and when Y is e 1 , α(i) is α(1), when Y is e 2 , α(i) is α(2), when Y is e 3 , α(i) is α(3), when Y is e 4 , α(i) is α(4), e i represents a column vector with a dimension of 4×1, wherein an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and A is a constant.
6. The method according to claim 4 , wherein the rank is determined to be 2, and W 2 satisfies the following equation:
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
,
(
e
1
,
e
2
)
,
(
e
2
,
e
3
)
,
(
e
1
,
e
4
)
,
(
e
2
,
e
4
)
}
;
or
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
-
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
2
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
2
-
Y
1
]
,
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
3
)
,
(
e
2
,
e
4
)
,
(
e
3
,
e
1
)
,
(
e
4
,
e
2
)
}
wherein e i represents a column vector with a dimension of 4×1, an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and B is a constant.
7. A user equipment, comprising:
a processor;
a computer-readable storage medium storing a program to be executed by the processor, the program including instructions for:
determining a rank used for indicating a number of transmission layers;
determining a value of a first codebook index corresponding to one precoding matrix set in a codebook set, wherein the codebook set corresponds to the rank, and precoding matrices comprised in the codebook set are represented by the first codebook index and a second codebook index; and
determining a jointly coded value corresponding to the rank and the value of the first codebook index, wherein the jointly coded value and the rank have a first correspondence, and the jointly coded value and the first codebook index have a second correspondence; and
a transmitter, configured to transmit the jointly coded value to a base station; wherein the precoding matrices (W) comprised in the codebook set satisfy the equation W=W 1 ×W 2 ;
wherein:
W
1
=
[
X
n
0
0
X
n
]
,
X
n
=
[
1
1
1
1
q
1
n
q
1
n
+
8
q
1
n
+
16
q
1
n
+
24
]
,
q
1
=
ⅇ
j
2
π
/
32
,
and a value range of n is a set {0, 1, 2, 3, 4, 5, 6, 7}, {8, 9, 10, 11, 12, 13, 14, 15}, {0, 2, 4, 6}, {1, 3, 5, 7}, {8, 10, 12, 14}, or {9, 11, 13, 15}; and
the first codebook index corresponds to one value of n, wherein the correspondence between the jointly coded value and the rank, and the correspondence between the jointly coded value and the first codebook index are determined according to the following Table D:
TABLE D
I RI/PMIl
RI
i 1
0-7
1
I RI/PMIl
8-15
2
I RI/PMIl − 8
wherein I RI/PM1 represents the jointly coded value, RI represents the rank, and i 1 represents the first codebook index.
8. The user equipment according to claim 7 , wherein the determined rank is 1, and W 2 satisfies the following equation:
W
2
∈
{
1
A
[
Y
α
(
ⅈ
)
Y
]
,
1
A
[
Y
jα
(
ⅈ
)
Y
]
,
1
A
[
Y
-
α
(
ⅈ
)
Y
]
,
1
A
[
Y
-
jα
(
ⅈ
)
Y
]
}
,
wherein Yε{e 1 ,e 2 ,e 3 ,e 4 }, α(i)=q 1 2(i−1) , and when Y is e 1 , α(i) is α(1), when Y is e 2 , α(i) is α(2), when Y is e 3 , α(i) is α(3), when Y is e 4 , α(i) is α(4), e i represents a column vector with a dimension of 4×1, wherein an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and A is a constant.
9. The user equipment according to claim 7 , wherein when the determined rank is 2, W 2 satisfies the following equation:
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
,
(
e
1
,
e
2
)
,
(
e
2
,
e
3
)
,
(
e
1
,
e
4
)
,
(
e
2
,
e
4
)
}
;
or
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
-
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
2
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
2
-
Y
1
]
,
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
3
)
,
(
e
2
,
e
4
)
,
(
e
3
,
e
1
)
,
(
e
4
,
e
2
)
}
wherein e i represents a column vector with a dimension of 4×1, an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and B is a constant.
10. A base station, comprising: a receiver, configured to receive a jointly coded value sent by a user equipment;
a processor; and
a computer-readable storage medium storing a program to be executed by the processor, the program including instructions for:
determining a value of a first codebook index and a rank used for indicating a number of transmission layers according to the jointly coded value received by the receiver, a correspondence between the jointly coded value and the rank and a correspondence between the jointly coded value and the first codebook index;
wherein the value of the first codebook index corresponds to one precoding matrix set in a codebook set, the codebook set corresponds to the rank, precoding matrices comprised in the codebook set are represented by the first codebook index and a second codebook index, and the precoding matrices W comprised in the codebook set satisfy the equation W=W 1 ×W 2 ;
wherein:
W
1
=
[
X
n
0
0
X
n
]
,
X
n
=
[
1
1
1
1
q
1
n
q
1
n
+
8
q
1
n
+
16
q
1
n
+
24
]
,
q
1
=
ⅇ
j
2
π
/
32
,
and a value range of n is a set {0, 1, 2, 3, 4, 5, 6, 7}, {8, 9, 10, 11, 12, 13, 14, 15}, {0, 2, 4, 6}, {1, 3, 5, 7}, {8, 10, 12, 14}, or {9, 11, 13, 15}; and
the first codebook index corresponds to one value of n, wherein the correspondence between the jointly coded value and the rank, and the correspondence between the jointly coded value and the first codebook index are determined according to the following Table D:
TABLE D
I RI/PMIl
RI
i 1
0-7
1
I RI/PMIl
8-15
2
I RI/PMIl − 8
wherein I RI/PMI1 represents the jointly coded value, RI represents the rank, and i 1 represents the first codebook index.
11. The base station according to claim 10 , wherein the determined rank is 1, and W 2 satisfies the following equation:
W
2
∈
{
1
A
[
Y
α
(
ⅈ
)
Y
]
,
1
A
[
Y
jα
(
ⅈ
)
Y
]
,
1
A
[
Y
-
α
(
ⅈ
)
Y
]
,
1
A
[
Y
-
jα
(
ⅈ
)
Y
]
}
,
wherein Yε{e 1 ,e 2 ,e 3 ,e 4 }, α(i)=q 1 2(i−1) and when Y is e 1 , α(i) is α(1), when Y is e 2 , α(i) is α(2), when Y is e 3 , α(i) is α(3), when Y is e 4 , α(i) is α(4), e i represents a column vector with a dimension of 4×1, wherein an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and A is a constant.
12. The base station according to claim 10 , wherein when the determined rank is 2, W 2 satisfies the following equation:
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
,
(
e
1
,
e
2
)
,
(
e
2
,
e
3
)
,
(
e
1
,
e
4
)
,
(
e
2
,
e
4
)
}
;
or
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
Y
2
]
,
1
B
[
Y
1
Y
2
-
Y
1
-
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
2
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
1
-
Y
2
]
,
1
B
[
Y
1
Y
2
j
Y
1
-
j
Y
2
]
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
1
)
,
(
e
2
,
e
2
)
,
(
e
3
,
e
3
)
,
(
e
4
,
e
4
)
}
W
2
∈
{
1
B
[
Y
1
Y
2
Y
2
-
Y
1
]
,
}
(
Y
1
,
Y
2
)
∈
{
(
e
1
,
e
3
)
,
(
e
2
,
e
4
)
,
(
e
3
,
e
1
)
,
(
e
4
,
e
2
)
}
wherein e i represents a column vector with a dimension of 4×1, an i th element in e i is 1, all other elements are 0, and iε{1, 2, 3, 4}, and B is a constant.