One minimum only trellis decoder for non binary low-density parity-check codes

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Engineering

ONE MINIMUM ONLY TRELLIS DECODER FOR NON-BINARY
LOW-DENSITY PARITY-CHECK CODES
ABSTRACT:
A one minimum only decoder for Trellis-EMS (OMO T-EMS) and for Trellis-Min-max
(OMO T-MM) is proposed in this paper. In this novel approach, we avoid computing the second
minimum in messages of the check node processor, and propose efficient estimators to infer the
second minimum value. By doing so, we greatly reduce the complexity and at the same time
improve latency and throughput of the derived architectures compared to the existing
implementations of EMS and Min-max decoders. This solution has been applied to various NB-
LDPC codes constructed over different Galois fields and with different degree distributions
showing in all cases negligible performance loss compared to the ideal EMS and Min-max
algorithms. In addition, two complete decoders forOMO T-EMS andOMO T-MM were
implemented for the (837,726) NB-LDPC code over GF(32) for comparison proposals. A 90 nm
CMOS process was applied, achieving a throughput of 711 Mbps and 818 Mbps respectively at a
clock frequency of 250 MHz, with an area of 19.02mm 2and 16.10mm 2 after place and route. To
the best knowledge of the authors, the proposed decoders have higher throughput and area-time
efficiency than any other solution for high-rate NB-LDPC codes with high Galois field order.
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