Hybrid WHT-RNS architectures for fault tolerant adaptive filtering

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 residue number system (RNS) arithmetic that has powerful error detection and correction capabilities. This paper investigates the hybrid combination of RNS error detection/correction with WHT-based adaptive fault tolerance to achieving a high level of fault tolerant performance that requires a modest amount of hardware overhead.