Design of error-resilient logic gates with reinforcement using implications

Operating circuits in the sub-threshold region can save power, but at the cost of higher susceptibility to noise. This paper analyzes various gate-level error-mitigation designs appropriate for sub-threshold circuits. Previous works have proposed a modified version of the Schmitt trigger gate that uses logic implications to reinforce correct functional behavior. However, the increased error resilience requires increased area, delay, and power overhead. To address these shortcomings, we introduce two alternative and less costly approaches to reinforcing correct logic behavior via implications. In addition, to provide more flexibility in implication selection, we consider not just simple implications that reinforce relationships between two signals, but also more complex 3-signal implications within the circuit. Our simulation results demonstrate that these alternative gate structures can outperform the Schmitt trigger version as long as the noise on the reinforcement signals themselves is sufficiently low.