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Vestnik of Volga State University of Technology Ser Radio Engineering and Infocommunication Systems

Matrix Algorithm of the Simulation of Channel Binary and Nonbinary LDPC Codes

Vladimir Fadeev, Artur K. Gaysin, Adel Nadeev

Published Jun 30, 2018• 0 citations
Publisher
DOI
10.15350/2306-2819.2018.2.33

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In this paper, we study the rank of matrices over and propose two construction methods for algebraic-based nonbinary LDPC codes from an existing LDPC code, referred to as the original code. By multiplying all elements of each column of the binary parity-check matrix H corresponding to the original code with the same nonzero element of any field, the first class of nonbinary LDPC codes with flexible field order is proposed. The second method is to replace the nonzero elements of some columns in H with different nonzero field elements in a given field, and then another class of nonbinary LDPC codes with various rates is obtained. Simulation results show that the proposed nonbinary LDPC codes perform well over the AWGN channel with the iterative decoding algorithms.
The performances of nonbinary low-density parity-check(LDPC) codes are studied and simulated on the presented noise burst channel model.Compared to binary LDPC codes,the nonbinary LDPC codes have a better anti-burst-error performance.The reason is given by analyzing the process of decoding.The transformation between binary soft information and nonbinary initial soft information is also presented.Simulations show that nonbinary LDPC codes have advantages of error performance and iterative characteristics with different parameters for noise burst channels.