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Based on the idea of plurality voting, we develop a low-complexity symbol-reliability based message-passing decoding algorithm for nonbinary low-density parity-check (LDPC) codes over finite fields. A key feature of the algorithm is that the message passed in the Tanner graph is the field element with the highest reliability. This leads to a very simple check node update. The algorithm requires only...
In this paper, we first propose a general framework for constructing quasi-cyclic low-density parity-check (QC-LDPC) codes based on a two-dimensional (2-D) maximum distance separable (MDS) code. Two classes of QC-LDPC codes are defined, whose parity-check matrices are transposes of each other. We then use a 2-D generalized Reed-Solomon (GRS) code to give a concrete construction. The decoding parity-check...
Summary form only given: In all existing codec designs for asymmetric Slepian-Wolf coding (SWC), it is assumed that the source sequence is i.i.d and equiprobable. When it comes to more complex source statistics, the encoder should firstly remove the redundancy within the source. However, this increases the complexity of the encoder. In this paper, we propose an asymmetric SWC scheme which explores...
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