Method for transmitting LDPC code using row-orthogonal and apparatus therefor

A communication device for transmitting an information block in a wireless communication system, the communication device comprising:

• at least one processor;
• and
• at least one memory storing at least one code that causes the at least one processor to perform operations comprising:
• encoding the information block based on a low density parity check (LDPC) code matrix
• H
• =
• [
• A
• B
• C
• D
• E
• ]
• ;
• and
• transmitting the encoded information block,
• wherein each element of the LDPC code matrix represents a Z*Z zero matrix, or a Z*Z circulant permutation matrix obtained by circularly shifting a Z*Z identity matrix to the right a non-negative integer number of times,
• wherein “[A B]” is a Mb*(Kb+Mb) matrix,
• wherein “B” is a Mb*Mb dual diagonal matrix, in which every element of “B” represents the Z*Z zero matrix except for Mb elements at a first diagonal of “B”, (Mb−1) elements at a second diagonal right above the first diagonal of “B” and two elements below the first diagonal of “B” in a first column of “B”,
• wherein “C” is a Mb*Mc matrix, in which every element of “C” represents the Z*Z zero matrix,
• wherein “E” is a Mc*Mc single diagonal matrix, in which every element of “E” represents the Z*Z zero matrix except for Mc elements at a diagonal of “E”,
• wherein “D” is a Mc*(Kb+Mb) matrix consisting of (Mc−Y) upper rows and Y lower rows, where (Mc−Y) is a positive integer,
• wherein the Y lower rows are a row orthogonal structure in which every two consecutive rows of the Y lower rows have at most one element not representing the Z*Z zero matrix in each column, and
• wherein the (Mc−Y) upper rows are a quasi-row orthogonal structure in which:
• i) every two consecutive rows of the (Mc−Y) upper rows have at most one element representing a Z*Z circulant permutation matrix in each column, except for 2 leftmost columns of “D”;
• and
• ii) for each row i of the (Mc−Y) upper rows, where i=1, . . . , Mc−Y, the row i and a row right above the row i or the row i and a row right below the row i have more than one element representing a Z*Z circulant permutation matrix in at least one of the 2 leftmost columns.

A method of receiving, by a communication device, an information block in a wireless communication system, the method comprising:

• receiving, by the communication device, an encoded information block;
• and
• decoding, by the communication device, the encoded information block based on a low density parity check (LDPC) code matrix
• H
• =
• [
• A
• B
• C
• D
• E
• ]
• to produce the information block,
• wherein each element of the LDPC code matrix represents a Z*Z zero matrix, or a Z*Z circulant permutation matrix obtained by circularly shifting a Z*Z identity matrix to the right a non-negative integer number of times,
• wherein “[A B]” is a Mb*(Kb+Mb) matrix,
• wherein “B” is a Mb*Mb dual diagonal matrix, in which every element of “B” represents the Z*Z zero matrix except for Mb elements at a first diagonal of “B”, (Mb−1) elements at a second diagonal right above the first diagonal of “B” and two elements below the first diagonal of “B” in a first column of “B”,
• wherein “C” is a Mb*Mc matrix, in which every element of “C” represents the Z*Z zero matrix,
• wherein “E” is a Mc*Mc single diagonal matrix, in which every element of “E” represents the Z*Z zero matrix except for Mc elements at a diagonal of “E”,
• wherein “D” is a Mc*(Kb+Mb) matrix consisting of (Mc−Y) upper rows and Y lower rows, where (Mc−Y) is a positive integer,
• wherein the Y lower rows are a row orthogonal structure in which every two consecutive rows of the Y lower rows have at most one element not representing the Z*Z zero matrix in each column, and
• wherein the (Mc−Y) upper rows are a quasi-row orthogonal structure in which:
• i) every two consecutive rows of the (Mc−Y) upper rows have at most one element representing a Z*Z circulant permutation matrix in each column, except for 2 leftmost columns of “D”;
• and
• ii) for each row i of the (Mc−Y) upper rows, where i=1, . . . , Mc−Y, the row i and a row right above the row i or the row i and a row right below the row i have more than one element representing a Z*Z circulant permutation matrix in at least one of the 2 leftmost columns.

A communication device for receiving an information block in a wireless communication system, the communication device comprising:

• at least one processor;
• and
• at least one memory storing at least one code that causes the at least one processor to perform operations comprising:
• receiving an encoded information block;
• and
• decoding the encoded information block based on a low density parity check (LDPC) code matrix
• H
• =
• [
• A
• B
• C
• D
• E
• ]
• to produce the information block,
• wherein each element of the LDPC code matrix represents a Z*Z zero matrix, or a Z*Z circulant permutation matrix obtained by circularly shifting a Z*Z identity matrix to the right a non-negative integer number of times,
• wherein “[A B]” is a Mb*(Kb+Mb) matrix,
• wherein “B” is a Mb*Mb dual diagonal matrix, in which every element of “B” represents the Z*Z zero matrix except for Mb elements at a first diagonal of “B”, (Mb−1) elements at a second diagonal right above the first diagonal of “B” and two elements below the first diagonal of “B” in a first column of “B”,
• wherein “C” is a Mb*Mc matrix, in which every element of “C” represents the Z*Z zero matrix,
• wherein “E” is a Mc*Mc single diagonal matrix, in which every element of “E” represents the Z*Z zero matrix except for Mc elements at a diagonal of “E”,
• wherein “D” is a Mc*(Kb+Mb) matrix consisting of (Mc−Y) upper rows and Y lower rows, where (Mc−Y) is a positive integer,
• wherein the Y lower rows are a row orthogonal structure in which every two consecutive rows of the Y lower rows have at most one element not representing the Z*Z zero matrix in each column, and
• wherein the (Mc−Y) upper rows are a quasi-row orthogonal structure in which:
• i) every two consecutive rows of the (Mc−Y) upper rows have at most one element representing a Z*Z circulant permutation matrix in each column, except for 2 leftmost columns of “D”;
• and
• ii) for each row i of the (Mc−Y) upper rows, where i=1, . . . , Mc−Y, the row i and a row right above the row i or the row i and a row right below the row i have more than one element representing a Z*Z circulant permutation matrix in at least one of the 2 leftmost columns.

A non-transitory computer readable medium and comprising at least one code that, when executed, causes at least one processor to perform operations for a communication device, the operations comprising:

• encoding, by the communication device, an information block based on a low density parity check (LDPC) code matrix
• H
• =
• [
• A
• B
• C
• D
• E
• ]
• ;
• and
• transmitting, by the communication device, the encoded information block,
• wherein each element of the LDPC code matrix represents a Z*Z zero matrix, or a Z*Z circulant permutation matrix obtained by circularly shifting a Z*Z identity matrix to the right a non-negative integer number of times,
• wherein “[A B]” is a Mb*(Kb+Mb) matrix,
• wherein “B” is a Mb*Mb dual diagonal matrix, in which every element of “B” represents the Z*Z zero matrix except for Mb elements at a first diagonal of “B”, (Mb−1) elements at a second diagonal right above the first diagonal of “B” and two elements below the first diagonal of “B” in a first column of “B”,
• wherein “C” is a Mb*Mc matrix, in which every element of “C” represents the Z*Z zero matrix,
• wherein “E” is a Mc*Mc single diagonal matrix, in which every element of “E” represents the Z*Z zero matrix except for Mc elements at a diagonal of “E”,
• wherein “D” is a Mc*(Kb+Mb) matrix consisting of (Mc−Y) upper rows and Y lower rows, where (Mc−Y) is a positive integer,
• wherein the Y lower rows are a row orthogonal structure in which every two consecutive rows of the Y lower rows have at most one element not representing the Z*Z zero matrix in each column, and
• wherein the (Mc−Y) upper rows are a quasi-row orthogonal structure in which:
• i) every two consecutive rows of the (Mc−Y) upper rows have at most one element representing a Z*Z circulant permutation matrix in each column, except for 2 leftmost columns of “D”;
• and
• ii) for each row i of the (Mc−Y) upper rows, where i=1, . . . , Mc−Y, the row i and a row right above the row i or the row i and a row right below the row i have more than one element representing a Z*Z circulant permutation matrix in at least one of the 2 leftmost columns.