Construction of Binary LDPC Convolutional Codes Based on Finite Fields


Employing a finite field approach, a completely unique algebraic construction of low-density parity-check (LDPC) convolutional codes with fast encoding property is proposed. According to the matrices of quasi-cyclic (QC) codes made based on the multiplicative groups of finite fields and therefore the algebraic property that a binary circulant matrix is isomorphic to a finite ring, we tend to first generate a polynomial-kind parity-check matrix of an LDPC convolutional code under a given rate over a given finite field. Then some connected modifications are created upon the initial polynomial-type matrix to get the new one with fast encoding property. Simulation results show that the proposed LDPC convolutional codes have smart performance with the iterative belief propagation decoding algorithm.

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