Bit flipping based LDPC code local searching and decoding method
A technology of LDPC code and bit flipping, which is applied to the application of error detection coding of multiple parity bits, error correction/detection using block codes, data representation error detection/correction, etc., which can solve the number of constraints and feasible solutions Increased search space, high hardware complexity, increased decoding time, etc.
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[0046] The present invention realizes that the used decoding mathematical model is specifically described as follows:
[0047] For an LDPC code with a length of n, the received message after the code word passes through a binary symmetric channel is a vector , through the piecewise function , Calculate the objective function coefficient vector of linear programming decoding , then the linear programming decoding model can be described as:
[0048]
[0049]
[0050] Among them, the solution vector To decode the desired transmitted codeword, Is the LDPC code variable node index set, H is the parity check matrix, Indicates that the solution vector x is a 0-1 vector of length n, and the operation is in the binary field within. Let the variable node set verified by the jth row of the parity check matrix H be , is the number of non-zero elements in the jth row of the parity check matrix H, then the jth row is the variable node The checksum is:
[0051] ...
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