Error resilience and energy efficiency: An LDPC decoder design study

Iterative decoding algorithms for low-density parity check (LDPC) codes have an inherent fault tolerance. In this paper, we exploit this robustness and optimize an LDPC decoder for high energy efficiency: we reduce energy consumption by opportunistically increasing error rates in decoder memories, while still achieving successful decoding in the final iteration. We develop a theory-guided unequal error protection (UEP) technique. UEP is implemented using dynamic voltage scaling that controls the error probability in the decoder memories on a per iteration basis. Specifically, via a density evolution analysis of an LDPC decoder, we first formulate the optimization problem of choosing an appropriate error rate for the decoder memories to achieve successful decoding under minimal energy consumption. We then propose a low complexity greedy algorithm to solve this optimization problem and map the resulting error rates to the corresponding supply voltage levels of the decoder memories in each iteration of the decoding algorithm. We demonstrate the effectiveness of our approach via ASIC synthesis results of a decoder for the LDPC code in the IEEE 802.11ad standard, implemented in 28nm FD-SOI technology. The proposed scheme achieves an increase in energy efficiency of up to 40% compared to the state-of-the-art solution.