Adaptive fault tolerance for reliable LMS adaptive filtering

Adaptive fault tolerance (AFT) is introduced and applied to finite impulse response (FIR) adaptive filters, Fault-tolerant adaptive filters (FTAFs) that result from using the principles of AFT are analyzed with respect to convergence rate, computational complexity, and hardware overhead. A practical and useful FTAF based on the discrete Fourier transform (DFT) is developed that can tolerate numerous coefficient failures regardless of the input noise statistics. The aims of this paper are to demonstrate the principles of the AFT approach and to motivate future research in this area by drawing attention to similarities between AFT and other methods of fault tolerance that exploit adaptivity, such as neural networks.