Design of ultra high throughput rate NB-LDPC decoder

Abstract : The Non-Binary Low Density Parity Check (NB-LDPC) codes constitutes an interesting category of error correction codes, and are well known to outperform their binary counterparts. However, their non-binary nature makes their decoding process of higher complexity. This PhD thesis aims at proposing new decoding algorithms for NB-LDPC codes that will be shaping the resultant hardware architectures expected to be of low complexity and high throughput rate. The first contribution of this thesis is to reduce the complexity of the Check Node (CN) by minimizing the number of messages being processed. This is done thanks to a pre-sorting process that sorts the messages intending to enter the CN based on their reliability values, where the less likely messages will be omitted and consequently their dedicated hardware part will be simply removed. This reliability-based sorting enabling the processing of only the highly reliable messages induces a high reduction of the hardware complexity of the NB-LDPC decoder. Clearly, this hardware reduction must come at no significant performance degradation. A new Hybrid architectural CN model (H-CN) combining two state-of-the-art algorithms - Forward-Backward CN (FB-CN) and Syndrome Based CN (SB-CN) - has been proposed. This hybrid model permits to effectively exploit the advantages of pre-sorting. This thesis proposes also new methods to perform the Variable Node (VN) processing in the context of pre-sorting-based architecture. Different examples of implementation of NB-LDPC codes defined over GF(64) and GF(256) are presented. For decoder to run faster, it must become parallel. From this perspective, we have proposed a new efficient parallel decoder architecture for a 5/6 rate NB-LDPC code defined over GF(64). This architecture is characterized by its fully parallel CN architecture receiving all the input messages in only one clock cycle. The proposed new methodology of parallel implementation of NB-LDPC decoders constitutes a new vein in the hardware conception of ultra-high throughput rate decoders. Finally, since the NB-LDPC decoders requires the implementation of a sorting function to extract P minimum values among a list of size Ns, a chapter is dedicated to this problematic where an original architecture called First-Then-Second-Extrema-Selection (FTSES) has been proposed.
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Hassan Harb. Design of ultra high throughput rate NB-LDPC decoder. Signal and Image processing. Université de Bretagne Sud; Université libanaise, 2018. English. ⟨NNT : 2018LORIS504⟩. ⟨tel-02136786⟩

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