Low Density Parity-Check codes are one of the hottest topics in coding theory nowadays. Equipped with very fast encoding and decoding algorithms, LDPC codes are very attractive both theoretically and practically. In this paper, A simplified algorithm for decoding Low-Density Parity-Check (LDPC) codes is proposed with a view to reduce the implementation complexity, this algorithm is based on a simple matrix equation which must be resolved in order to calculate all possible solutions of this equation, and then a simple circuit will be used to determine the errors produced during the transmission channel. First, we developed the design of the proposed algorithm second, we generated and simulated the hardware description language source code using Quartus software tools and finally we implemented the new algorithm of LDPC codes on FPGA card. Keywords: Bit-Flipping Algorithm, Error Detection, FPGA Card, LDPC Decoder, Matrix Equation.
Conception of a new LDPC decoder with hardware implementation on FPGA card
