LDPC (low density parity check) codes with corresponding parity check matrices selectively constructed with CSI (cyclic shifted identity) and null sub-matrices
View Patent ↗LDPC (Low Density Parity Check) codes with corresponding parity check matrices selectively constructed with CSI (Cyclic Shifted Identity) and null sub-matrices. An LDPC matrix corresponding to an LDPC code is employed within a communication device to encode and/or decode coded signals for use in any of a number of communication systems. The LDPC matrix is composed of a number of sub-matrices and may be partitioned into a left hand side matrix and a right hand side matrix. The right hand side matrix may include two sub-matrix diagonals therein that are composed entirely of CSI (Cyclic Shifted Identity) sub-matrices; one of these two sub-matrix diagonals is located on the center sub-matrix diagonal and the other is located just to the left thereof. All other sub-matrices of the right hand side matrix may be null sub-matrices (i.e., all elements therein are values of zero “0”).
1. An apparatus, comprising:
an input to receive an LDPC (Low Density Parity Check) coded signal; and
an LDPC decoder to decode the LDPC coded signal using an LDPC matrix to make an estimate of an information bit encoded therein; and wherein:
the LDPC matrix, including a plurality of sub-matrices each having a common size, being partitioned into a left hand side matrix and a right hand side matrix;
each sub-matrix located on a diagonal of the right hand side matrix being a respective CSI (Cyclic Shifted Identity) sub-matrix corresponding to a cyclic shift of a respective value;
within the right hand side matrix, in every row between a top row and a next to bottom row, which being above and adjacent to a bottom row, inclusive, each sub-matrix located on a right hand side of the diagonal of the right hand side matrix being a respective zero-valued sub-matrix; and
each sub-matrix of the left hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix.
2. The apparatus of claim 1 , wherein:
the diagonal of the right hand side matrix extending from a top left most sub-matrix of the right hand side matrix to a bottom right most sub-matrix of the right hand side matrix.
3. The apparatus of claim 1 , wherein:
at least two sub-matrices of the left hand side matrix being respective CSI sub-matrices corresponding to a cyclic shift of a common value.
4. The apparatus of claim 1 , wherein:
within the right hand side matrix, in every row between a second row, which is below and adjacent to a top row, and a bottom row of the right hand side matrix, inclusive, each sub-matrix located on a left hand side of the diagonal of the right hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix.
5. The apparatus of claim 1 , wherein:
the apparatus being a communication device operative within at least one of a satellite communication system, a wireless communication system, a wired communication system, and a fiber-optic communication system.
6. An apparatus, comprising:
an input to receive an LDPC (Low Density Parity Check) coded signal; and
an LDPC decoder to decode the LDPC coded signal using an LDPC matrix to make an estimate of an information bit encoded therein; and wherein:
the LDPC matrix, including a plurality of sub-matrices each having a common size, being partitioned into a left hand side matrix and a right hand side matrix;
each sub-matrix located on a diagonal of the right hand side matrix being a respective CSI (Cyclic Shifted Identity) sub-matrix; and
within the right hand side matrix, in every row between a top row and a next to bottom row, which being above and adjacent to a bottom row, inclusive, each sub-matrix located on a right hand side of the diagonal of the right hand side matrix being a respective zero-valued sub-matrix.
7. The apparatus of claim 6 , wherein:
the diagonal of the right hand side matrix extending from a top left most sub-matrix of the right hand side matrix to a bottom right most sub-matrix of the right hand side matrix.
8. The apparatus of claim 6 , wherein:
each sub-matrix of the plurality of CSI sub-matrices on the diagonal of the right hand side matrix being a respective identity sub-matrix or a respective CSI matrix corresponding to a cyclic shift of 0.
9. The apparatus of claim 6 , wherein:
each sub-matrix of the left hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix; and
at least two sub-matrices of the left hand side matrix being respective CSI sub-matrices corresponding to a cyclic shift of a common value.
10. The apparatus of claim 6 , wherein:
a first sub-matrix located on the diagonal of the right hand side matrix being a first CSI sub-matrix corresponding to a cyclic shift of a first value; and
a second sub-matrix located on the diagonal of the right hand side matrix being a second CSI sub-matrix corresponding to a cyclic shift of a second value.
11. The apparatus of claim 6 , wherein:
each sub-matrix located on the diagonal of the right hand side matrix being a respective CSI sub-matrix corresponding to a cyclic shift of a respective value.
12. The apparatus of claim 6 , wherein:
within the right hand side matrix, in every row between a second row, which is below and adjacent to a top row, and a bottom row of the right hand side matrix, inclusive, each sub-matrix located on a left hand side of the diagonal of the right hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix.
13. The apparatus of claim 6 , wherein:
the apparatus being a communication device operative within at least one of a satellite communication system, a wireless communication system, a wired communication system, and a fiber-optic communication system.
14. A method for operating a communication device, the method comprising:
via an input of the communication device, receiving an LDPC (Low Density Parity Check) coded signal; and
decoding the LDPC coded signal using an LDPC matrix to make an estimate of an information bit encoded therein; and wherein:
the LDPC matrix, including a plurality of sub-matrices each having a common size, being partitioned into a left hand side matrix and a right hand side matrix;
each sub-matrix located on a diagonal of the right hand side matrix being a respective CSI (Cyclic Shifted Identity) sub-matrix; and
within the right hand side matrix, in every row between a top row and a next to bottom row, which being above and adjacent to a bottom row, inclusive, each sub-matrix located on a right hand side of the diagonal of the right hand side matrix being a respective zero-valued sub-matrix.
15. The method of claim 14 , wherein:
the diagonal of the right hand side matrix extending from a top left most sub-matrix of the right hand side matrix to a bottom right most sub-matrix of the right hand side matrix.
16. The method of claim 14 , wherein:
each sub-matrix of the plurality of CSI sub-matrices on the diagonal of the right hand side matrix being a respective identity sub-matrix or a respective CSI matrix corresponding to a cyclic shift of 0.
17. The method of claim 14 , wherein:
each sub-matrix of the left hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix; and
at least two sub-matrices of the left hand side matrix being respective CSI sub-matrices corresponding to a cyclic shift of a common value.
18. The method of claim 14 , wherein:
a first sub-matrix located on the diagonal of the right hand side matrix being a first CSI sub-matrix corresponding to a cyclic shift of a first value; and
a second sub-matrix located on the diagonal of the right hand side matrix being a second CSI sub-matrix corresponding to a cyclic shift of a second value.
19. The method of claim 14 , wherein:
within the right hand side matrix, in every row between a second row, which is below and adjacent to a top row, and a bottom row of the right hand side matrix, inclusive, each sub-matrix located on a left hand side of the diagonal of the right hand side matrix being either a respective all zero-valued sub-matrix or a respective CSI sub-matrix.
20. The method of claim 14 , wherein:
the communication device operative within at least one of a satellite communication system, a wireless communication system, a wired communication system, and a fiber-optic communication system.