LPDC code transmission method using row-orthogonal structure and apparatus therefor
A method for encoding a quasi-cyclic low-density parity-check (LDPC) code according to an embodiment of the present invention comprises: a step of generating a multi-edge LDPC code matrix which comprises a high rate code matrix and a single parity check code matrix; and a step of encoding a signal using the multi-edge LDPC code matrix, wherein the single parity check code matrix may be configured by connecting a first matrix which is configured as a quasi row-orthogonal structure matrix and a second matrix which is configured as a pure row-orthogonal structure.
1. A method of transmitting, by a transmitting device, an information block using a low density parity check (LDPC) base code in a wireless communication system, the method comprising:
encoding, by the transmitting device, the information block based on a parity check matrix; and
transmitting, by the transmitting device, the encoded information block,
wherein the parity check matrix is determined based on the LDPC base code
H
=
[
A
B
C
D
E
]
,
wherein each element subblock of the LDPC base code represents a zero matrix of dimensions Z*Z, or a circulant permutation matrix of dimensions Z*Z which is obtained by circularly shifting an identity matrix of dimensions Z*Z to the right a non-negative integer number of times, where Z is a positive integer,
wherein “[A B]” is a matrix of dimensions M b *(K b +M b ), where M b and K b are positive integers, respectively,
wherein “B” is a dual diagonal structure matrix of dimensions M b *M b , in which every element of “B” represents the zero matrix of dimensions Z*Z, except for M b elements at a first main diagonal of “B”, (M b −1) elements at a second diagonal right above the first main diagonal of “B” and two elements below a leftmost element of the first main diagonal of “B” among leftmost elements of “B”,
wherein “C” is a matrix of dimensions M b *M c , in which every element of “C” represents the zero matrix of dimensions Z*Z, where M c is a positive integer,
wherein “E” is a single diagonal structure matrix of dimensions M c *M c , in which every element of “E” represents the zero matrix of dimensions Z*Z except for M c elements at a diagonal of “E”,
wherein “D” is a matrix of dimensions M c *(K b +M b ), and
wherein “D” is a quasi-row orthogonal structure in which:
(i) every two consecutive rows of “D” have at most one element not representing the zero matrix of dimensions Z*Z in each column except for 2 leftmost columns of “D”, and
(ii) at least two consecutive rows of “D” have more than at most one element not representing the zero matrix of dimensions Z*Z in at least one column of the 2 leftmost columns.
2. The method according to claim 1 ,
wherein “A” is not a row orthogonal structure.
3. A transmitting device for transmitting an information block using a low density parity check (LDPC) base code in a wireless communication system, the transmitting device comprising:
an encoder configured to encode the information block based on a parity check matrix; and
a transmitter configured to transmit the encoded information block,
wherein the parity check matrix is determined based on the LDPC base code
H
=
[
A
B
C
D
E
]
,
wherein each element of the LDPC base code represents a zero matrix of dimensions Z*Z, or a circulant permutation matrix of dimensions Z*Z which is obtained by circularly shifting an identity matrix of dimensions Z*Z to the right a non-negative integer number of times, where Z is a positive integer,
wherein “[A B]” is a matrix of dimensions M b *(K b +M b ), where M b and K b are positive integers, respectively,
wherein “B” is a dual diagonal structure matrix of dimensions M b *M b , in which every element of “B” represents the zero matrix of dimensions Z*Z, except for M b elements at a first main diagonal of “B”, (M b −1) elements at a second diagonal right above the first main diagonal of “B” and two elements below a leftmost element of the first main diagonal of “B” among leftmost elements of “B”,
wherein “C” is a matrix of dimensions M b *M c , in which every element of “C” represents the zero matrix of dimensions Z*Z, where Me is a positive integer,
wherein “E” is a single diagonal structure matrix of dimensions M c *M c , in which every element of “E” represents the zero matrix of dimensions Z*Z except for M c elements at a diagonal of “E”,
wherein “D” is a matrix of dimensions M c *(K b +M b ), and
wherein “D” is a quasi-row orthogonal structure in which:
(i) every two consecutive rows of “D” have at most one element not representing the zero matrix of dimensions Z*Z in each column except for 2 leftmost columns of “D”, and
(ii) at least two consecutive rows of “D” have more than at most one element not representing the zero matrix of dimensions Z*Z in at least one column of the 2 for leftmost columns.
4. The transmitting device according to claim 3 ,
wherein “A” is not a row orthogonal structure.
5. A method of receiving, by a receiving device, an information block using a low density parity check (LDPC) base code in a wireless communication system, the method comprising:
receiving, by the receiving device, an encoded information block; and
decoding, by the receiving device, the encoded information block based on a parity check matrix to produce the information block,
wherein the parity check matrix is determined based on the LDPC base code
H
=
[
A
B
C
D
E
]
,
wherein each element of the LDPC base code represents a zero matrix of dimensions Z*Z, or a circulant permutation matrix of dimensions Z*Z which is obtained by circularly shifting an identity matrix of dimensions Z*Z to the right a non-negative integer number of times, where Z is a positive integer,
wherein “[A B]” is a matrix of dimensions M b *(K b +M b ), where M b and K b are positive integers, respectively,
wherein “B” is a dual diagonal structure matrix of dimensions M b *M b , in which every element of “B” represents the zero matrix of dimensions Z*Z, except for M b elements at a first main diagonal of “B”, (M b −1) elements at a second diagonal right above the first main diagonal of “B” and two elements below a leftmost element of the first main diagonal of “B” among leftmost elements of “B”,
wherein “C” is a matrix of dimensions M b *M c , in which every element of “C” represents the zero matrix of dimensions Z*Z, where M c is a positive integer,
wherein “E” is a single diagonal structure matrix of dimensions M c *M c , in which every element of “E” represents the zero matrix of dimensions Z*Z except for M c elements at a diagonal of “E”,
wherein “D” is a matrix of dimensions M c *(K b +M b ), and
wherein “D” is a quasi-row orthogonal structure in which:
(i) every two consecutive rows of “D” have at most one element not representing the zero matrix of dimensions Z*Z in each column except for 2 leftmost columns of “D”, and
(ii) at least two consecutive rows of “D” have more than one element not representing the zero matrix of dimensions Z*Z in at least one column of the 2 for leftmost columns.
6. The method according to claim 5 ,
wherein “A” is not a row orthogonal structure.
7. A receiving device for receiving an information block using a low density parity check (LDPC) base code in a wireless communication system, the receiving device comprising:
a receiver configured to receive an encoded information block; and
a decoder configured to decode the encoded information block based on a parity check matrix to produce the information block,
wherein the parity check matrix is determined based on the LDPC base code
H
=
[
A
B
C
D
E
]
,
wherein each element of the LDPC base code represents a zero matrix of dimensions Z*Z, or a circulant permutation matrix of dimensions Z*Z which is obtained by circularly shifting an identity matrix of dimensions Z*Z to the right a non-negative integer number of times, where Z is a positive integer,
wherein “[A B]” is a matrix of dimensions M b *(K b +M b ), where M b and K b are positive integers, respectively,
wherein “B” is a dual diagonal structure matrix of dimensions M b *M b , in which every element of “B” represents the zero matrix of dimensions Z*Z, except for M b elements at a first main diagonal of “B”, (M b −1) elements at a second diagonal right above the first main diagonal of “B” and two elements below a leftmost element of the first main diagonal of “B” among leftmost elements of “B”,
wherein “C” is a matrix of dimensions M b *M c , in which every element of “C” represents the zero matrix of dimensions Z*Z, where M c is a positive integer,
wherein “E” is a single diagonal structure matrix of dimensions M c *M c , in which every element of “E” represents the zero matrix of dimensions Z*Z except for M c elements at a diagonal of “E”,
wherein “D” is a matrix of dimensions M c *(K b +M b ), and
wherein “D” is a quasi-row orthogonal structure in which:
(i) every two consecutive rows of “D” have at most one element not representing the zero matrix of dimensions Z*Z in each column except for 2 leftmost columns of “D”, and
(ii) at least two consecutive rows of “D” have more than one element not representing the zero matrix of dimensions Z*Z in at least one column of the 2 for leftmost columns.
8. The receiving device according to claim 7 ,
wherein “A” is not a row orthogonal structure.