Decoding method, apparatus, and system for OvXDM system
This application discloses a decoding method for an OvXDM system, including: generating an augmented matrix B related to a received symbol information sequence; performing singular decomposition on the augmented matrix B; and performing decoding by using a total least square method, to obtain a decoded output information sequence. This application further discloses an OvXDM system. In a specific implementation of this application, decoding is performed by using the total least square method.
1. A decoding method for an Overlapped X Division Multiplexing (OvXDM) system, comprising:
receiving, at a receive end of the OvXDM system, a signal which is sent by a transmit end of the OvXDM system through an antenna and transmitted in a radio channel, wherein the signal comprises a received symbol information sequence;
generating, at the receive end, an augmented matrix B related to the received symbol information sequence, wherein the augmented matrix is B=[H, y], wherein H is a multiplexed waveform coefficient matrix, y is the received symbol information sequence, a size of the matrix B is (N+K−1)×(N+1), N is a data frame length, and K is a number of times of overlapped multiplexing;
performing, at the receive end, singular decomposition on the augmented matrix B;
performing, at the receive end, decoding by using a total least square method based on the singular decomposition of the augmented matrix B, to obtain a decoded output information sequence; and
outputting, at the receive end, the decoded output information sequence.
2. The decoding method for an OvXDM system according to claim 1 , wherein the performing singular decomposition on the augmented matrix B comprises: decomposing the augmented matrix B into B=UΣV H , wherein U is a unitary matrix of (N+K−1)×(N+K−1), Σ is a diagonal matrix of (N+K−1)×(N+K−1), and V is a unitary matrix of (N+1)×(N+1).
3. The decoding method for an OvXDM system according to claim 2 , wherein the performing decoding by using a total least square method based on the singular decomposition of the augmented matrix B specifically comprises: decoding the received symbol sequence by using a formula
x
TLS
=
-
1
v
(
N
+
1
,
N
+
1
)
[
v
(
1
,
N
+
1
)
⋮
v
(
N
,
N
+
1
)
]
,
wherein v(i, N+1) is the i th element of the (N+1) th column of V.
4. The decoding method for an OvXDM system according to claim 1 , wherein before the generating an augmented matrix B related to a received symbol information sequence, the method further comprises: performing synchronization processing and channel equalization on a received signal sequence.
5. The decoding method for an OvXDM system according to claim 2 , wherein before the generating an augmented matrix B related to a received symbol information sequence, the method further comprises: performing synchronization processing and channel equalization on a received signal sequence.
6. The decoding method for an OvXDM system according to claim 3 , wherein before the generating an augmented matrix B related to a received symbol information sequence, the method further comprises: performing synchronization processing and channel equalization on a received signal sequence.
7. A decoding apparatus for an Overlapped X Division Multiplexing (OvXDM) system, wherein the decoding apparatus is provided at a receive end of the OvXDM system and comprises a hardware processor and a memory, wherein the hardware processor is configured to execute the following program modules stored in the memory:
a receiving module, configured to receive a signal which is sent by a transmit end of the OvXDM system through an antenna and transmitted in a radio channel, wherein the signal comprises a received symbol information sequence;
a processing module, configured to generate an augmented matrix B related to the received symbol information sequence, wherein the augmented matrix is B=[H, y], wherein H is a multiplexed waveform coefficient matrix, y is the received symbol information sequence, a size of the matrix B is (N+K−1)×(N+1), N is a data frame length, and K is a number of times of overlapped multiplexing;
a decomposition module, configured to perform singular decomposition on the augmented matrix B;
a decoding module, configured to perform decoding by using a total least square method based on the singular decomposition of the augmented matrix B, to obtain a decoded output information sequence; and
an outputting module, configured to output the decoded output information sequence.
8. The decoding apparatus for an OvXDM system according to claim 7 , wherein the hardware processor is configured to further execute the following program module stored in the memory:
a preprocessing module, configured to perform synchronization processing and channel equalization on a received signal sequence.
9. The decoding apparatus for an OvXDM system according to claim 7 , wherein
the decomposition module is further configured to decompose the augmented matrix B into B=UΣV H , wherein U is a unitary matrix of (N+K−1)×(N+K−1), Σ is a diagonal matrix of (N+K−1)×(N+K−1), and V is a unitary matrix of (N+1)×(N+1).
10. The decoding apparatus for an OvXDM system according to claim 9 , wherein
the decoding module is further configured to decode the received symbol sequence by using a formula
x
TLS
=
-
1
v
(
N
+
1
,
N
+
1
)
[
v
(
1
,
N
+
1
)
⋮
v
(
N
,
N
+
1
)
]
,
wherein v(i, N+1) is the i th element of the (N+1) th column of V.
11. An Overlapped X Division Multiplexing (OvXDM) system, comprising a decoding apparatus for an OvXDM system provided at a receive end of the OvXDM system, wherein
the decoding apparatus for the OvXDM system comprises a hardware processor and a memory, wherein the hardware processor is configured to execute the following program modules stored in the memory:
a receiving module, configured to receive a signal which is sent by a transmit end of the OvXDM system through an antenna and transmitted in a radio channel, wherein the signal comprises a received symbol information sequence;
a processing module, configured to generate an augmented matrix B related to a the received symbol information sequence, wherein the augmented matrix is B=[H, y], wherein H is a multiplexed waveform coefficient matrix, y is the received symbol information sequence, a size of the matrix B is (N+K−1)×(N+1), N is a data frame length, and K is a number of times of overlapped multiplexing;
a decomposition module, configured to perform singular decomposition on the augmented matrix B;
a decoding module, configured to perform decoding by using a total least square method based on the singular decomposition of the augmented matrix B, to obtain a decoded output information sequence; and
an outputting module, configured to output the decoded output information sequence,
wherein the OvXDM system comprises an OvTDM system, an OvFDM system, an OvCDM system, an OvSDM system, or an OvHDM system.
12. The OvXDM system as claimed in claim 11 , wherein the hardware processor in the decoding apparatus for the OvXDM system is configured to further execute the following program module stored in the memory:
a preprocessing module, configured to perform synchronization processing and channel equalization on a received signal sequence.