Method for early terminating decoding processes of serial concatenated coding and decoder using the same
A method and decoder for early terminating decoding processes of serial concatenated coding are disclosed. The method includes the steps of providing a codeword, encoded by a first coding and a second coding sequentially; setting a maximum syndrome weight; decoding the second coding for the codeword by iterative calculations for syndromes; terminating decoding of the second coding if a number of the iterative calculations reaches a preset number or a syndrome weight of one iterative calculation is equal to or smaller than the maximum syndrome weight, otherwise repeating the decoding step and the terminating step; and decoding the first coding for the codeword.
1. A method for early terminating decoding processes of a codeword coded by serial concatenated coding, comprising the steps of:
A. providing a codeword, encoded by a first coding and a second coding sequentially;
B. setting a maximum syndrome weight;
C. decoding the second coding for the codeword by iterative calculations for syndromes;
D. terminating decoding of the second coding if a syndrome weight of one iterative calculation is equal to or smaller than the maximum syndrome weight, otherwise repeating step C to step D; and
E. decoding the first coding for the codeword,
wherein the syndrome is a binary number which includes a plurality of “0” and “1”; and
wherein the syndrome weight is an amount of “1” in the syndromes and updated after step C is completed.
2. The method according to claim 1 , wherein step C comprises the steps of:
C1. checking node updating for the codeword by a parity check matrix;
C2. performing syndrome calculation to obtain the syndrome weight; and
C3. updating bit nodes for the codeword.
3. The method according to claim 1 , wherein the first coding is a convolutional code or turbo code.
4. The method according to claim 1 , wherein the first coding is a block code comprising Bose-Chaudhuri-Hocquenghem (BCH) code, Quasi-Cyclic Low-Density Parity Check (QC-LDPC) code, Low-Density Parity Check (LDPC) code, Hamming code, Reed-Solomon (RS) code or Quadratic Residue (QR) code.
5. The method according to claim 1 , wherein the second coding is QC-LDPC code or LDPC code.
6. A decoder for early terminating decoding processes of a codeword coded by serial concatenated coding, the decoder comprising:
an inner decoding module, receiving a codeword, encoded by a first coding and a second coding sequentially, for decoding the second coding for the codeword and sending a treated codeword, comprising:
a decoding circuit, for checking whether bit nodes of the codeword is updated by a parity check matrix and updating bit nodes for the codeword iteratively until a number of iterative calculation thereof reaches a preset number; and
a syndrome weight checking circuit, for checking a syndrome weight after the decoding circuit checks node updating for the codeword, and terminating decoding of the second coding when the syndrome weight is equal to or smaller than a maximum syndrome weight and keeping current form of the codeword as the treated codeword; and
an outer decoding module, linked to the inner decoding module, for receiving the treated codeword and processing decoding of the first coding for the treated codeword,
wherein the syndrome is a binary number which includes a plurality of “0” and “1”; and
wherein decoding of the second coding needs iterative calculations for syndromes and the syndrome weight is an amount of “1” in the syndromes.
7. The decoder according to claim 6 , wherein the first coding is a convolutional code or turbo code.
8. The decoder according to claim 6 , wherein the first coding is a block code comprising Bose-Chaudhuri-Hocquenghem (BCH) code, Quasi-Cyclic Low-Density Parity Check (QC-LDPC) code, Low-Density Parity Check (LDPC) code, Hamming code, Reed-Solomon (RS) code or Quadratic Residue (QR) code.
9. The decoder according to claim 6 , wherein the second coding is QC-LDPC code or LDPC code.