Fault Tolerant Adaptive Filters based on modified discrete fourier transform architectures

Previously it was shown that when an FFT-based transform domain Fault Tolerant Adaptive Filter (FTAF) operates on real-valued signals parameter redundancy inherent in the complex arithmetic provides fault tolerant capabilities for adaptive filters implemented in highly scaled nano-technologies that are prone to both soft errors and hardware faults. This work replaces the conventional DFT with the Modified Discrete Fourier Transform (MDFT) to provide frequency domain samples that are not constrained to be strictly real-valued. It is shown that the MDFT-FTAF architecture resulting from the MDFT provides considerable fault tolerant capabilities by means of the parameter redundancy in the complex arithmetic.