Method of encoding and decoding using low density parity check code
A method of encoding and decoding using an LDPC code is disclosed, by which a memory for storing a parity check matrix necessary for the encoding or decoding using the LDPC code and calculation amount and complexity necessary for the encoding or decoding can be reduced. The present invention includes a step of encoding an input data using a parity check matrix H having a configuration of H=[H d |H p ] (H d is (n−k)×k dimensional, H p is (n−k)×(n−k) dimensional, k is a bit number of the input data, and n is a bit number of a codeword), wherein if the H d comprises a plurality of sub-matrices, each of the sub-matrices has predetermined regularity in a row or column weight.
1. A method of encoding input data using an LDPC (low density parity check) code, the method comprising:
encoding the input data using a parity check matrix H having a configuration of H=[H d |H p ] where H d is (n−k)×k dimensional, H p is (n−k)×(n−k) dimensional, k is a bit number of the input data, and n is a bit number of a codeword,
wherein if the H d comprises a plurality of sub-matrices, each of the plurality of sub-matrices has predetermined regularity in a row or column weight, and
wherein any two random rows of the entire H d do not have 1 on at least two columns simultaneously.
2. The method of claim 1 , wherein if the H d comprises m sub-matrices having (n−k)/m×k dimensions, a j th row of a specific sub-matrix of the m sub-matrices has W j consecutive 1's on a condition that the column weight of entire columns of the specific sub-matrix is 1.
3. The method of claim 2 , wherein the W j is identical to entire rows of the specific sub-matrix.
4. The method of claim 2 , wherein the W j irregularly increases or decreases for the entire rows of the specific sub-matrix.
5. The method of claim 1 , wherein if the H d comprises m sub-matrices having (n−k)/m×k dimensions, the row or column weight of a random sub-matrix configuring the H d is 1.
6. The method of claim 1 , wherein a number of occasions of a case that all combination-enabling two rows selected from three random rows of the entire H d have 1 at a same point is equal to or smaller than a preset critical value (C max ).
7. The method of claim 1 , wherein any two random rows of the entire parity check matrix H do not have 1 on at least two rows simultaneously.
8. The method of claim 7 , wherein a number of occasions of a case that all combination-enabling two rows selected from three random rows of the parity check matrix H have 1 at a same point is equal to or smaller than a preset critical value (C max ).
9. The method of claim 6 , wherein the critical value (C max ) is an arbitrary value within a range of 10˜100.
10. The method of claim 1 , wherein the H p is a dual diagonal matrix.
11. A method of decoding input data using a parity check matrix H, the method comprising:
decoding the input data using the parity check matrix H which has a configuration of H=[H d |H p ] where H d is (n−k)×k dimensional, H p is (n−k)×(n−k) dimensional, k is a bit number of the input data, and n is a bit number of a codeword,
wherein if the H d comprises a plurality of sub-matrices, each of the plurality of sub-matrices has predetermined regularity in a row or column weight, and
wherein any two random rows of the entire H d do not have 1 on at least two columns simultaneously.
12. The method of claim 11 , wherein if the H d comprises m sub-matrices having (n−k)/m×k dimensions, a j th row of a specific sub-matrix of the m sub-matrices has W j consecutive 1's on a condition that the column weight of entire columns of the specific sub-matrix is 1.
13. The method of claim 12 , wherein the W j is identical to entire rows of the specific sub-matrix.
14. The method of claim 12 , wherein the W j irregularly increases or decreases for the entire rows of the specific sub-matrix.
15. The method of claim 11 , wherein if the H d comprises m sub-matrices having (n−k)/m×k dimensions, the row or column weight of a random sub-matrix configuring the H d is 1.
16. The method of claim 11 , wherein a number of occasions of a case that all combination-enabling two rows selected from three random rows of the entire H d have 1 at a same point is equal to or smaller than a preset critical value (C max ).
17. The method of claim 11 , wherein any two random rows of the entire parity check matrix H do not have 1 on at least two rows simultaneously.
18. The method of claim 17 , wherein a number of occasions of a case that all combination-enabling two rows selected from three random rows of the parity check matrix H have 1 at a same point is equal to or smaller than a preset critical value (C max ).
19. The method of claim 16 , wherein the critical value (C max ) is an arbitrary value within a range of 10˜100.
20. The method of claim 11 , wherein the H p is a dual diagonal matrix.