Hybrid WHT-MRRNS architectures for fault tolerant adaptive filters

Previous work explored the Walsh-Hadamard transform (WHT) as a computationally efficient way of achieving adaptive fault tolerance in transform domain adaptive filters (TDAF). Since the WHT requires only addition and subtraction it is compatible with modulus replication RNS (MRRNS) arithmetic that has powerful error detection and correction capabilities as well as the potential for low power realizations. This paper investigates a hybrid WHT-MRRNS adaptive filter architecture to achieve fault tolerant performance while requiring a modest amount of hardware overhead.