A systematic approach for achieving low bit error rate of LDPC decoder using MWD algorithm

One of the most significant barriers for using Low Density Parity Check (LDPC) codes in many wireless communication system and magnetic storage devices is the bit error rate floor phenomena with their complex message passing iterative algorithm. LDPC codes are mostly used in communication system because of its outstanding performance achievement. There are various decoding algorithm for LDPC decoder. In this paper, we presented the mathematical analysis of Minimum Weight Decoding (MWD) algorithm and its error rate performance over Additive White Gaussian Noise (AWGN) channel. A comparison of bit error rate performance over signal to noise ratio (dB) is carried out for different codes such as hamming code, BCH code and LDPC code. This paper shows bit error performance of decoder using minimum weight decoding algorithm. The main significance of this paper is that it shows efficient performance of Minimum Weight Decoding (MWD) algorithm based LDPC Decoder. We presented three classes of codes (1) hamming code, (2) BCH code and (3) LDPC Codes. We demonstrate the effectiveness of LDPC decoder over other two code decoders for the code rate 1/2 and block length (16,8) which is tarnished for its error floors.