A fault tolerant voter for approximate triple modular redundancy

Abstract

Approximate Triple Modular Redundancy has been proposed in the literature to overcome the area overhead issue of Triple Modular Redundancy (TMR). The outcome of TMR/Approximate TMR modules serves as the voter input to produce the final output of a system. Because the working principle of Approximate TMR conditionally allows one of the approximate modules to differ from the original circuit, it is critical for Approximate TMR that a voter not only be tolerant toward its internal faults but also toward faults that occur at the voter inputs. Herein, we present a novel compact voter for Approximate TMR using pass transistors and quadded transistor level redundancy to achieve a higher fault masking. The design also targets a better Quality of Circuit (QoC), a new metric which we have proposed for highlighting the ability of a circuit to fully mask all possible internal faults for an input vector. Comparing the fault masking features with those of existing works, the proposed voter delivered upto 45.1%, 62.5%, 26.6% improvement in Fault Masking Ratio (FMR), QoC, and reliability, respectively. With respect to the electrical characteristics, our proposed voter can achieve an improvement of up to 50% and 56% in terms of the transistor count and power delay product, respectively.