Mahler's expansion and Boolean functions.
In this article, the problems of fault diagnosis (FD) and fault-tolerant control (FTC) are investigated for a class of nonlinear systems with output measurement noise. Due to the influence of measurement noise in the output sensor, the output observation error cannot be accurately obtained, which causes obstacles to the accuracy of FD. To address this issue, an output filter and disturbance estimator are constructed to decrease the negative effects of measurement noise and observer gain disturbances,...
This work presents the first self-checking Booth-3 multiplier and a new self-checking Booth-2 multiplier using parity prediction. We propose a method which combines error-detection of Booth-3 (or Booth-2) decoder cells and parity prediction. Additionally, code disjointness is ensured by reusing logic for partial product generation. Parity prediction is applied to a carry-save-adder with the standard sign-bit extension. In this adder almost all cells have odd fanouts and faults are detected by the...
We investigate the structure of “worst-case” quasi reduced ordered decision diagrams and Boolean functions whose truth tables are associated to: we suggest different ways to count and enumerate them. We, then, introduce a notion of complexity which leads to the concept of “hard” Boolean functions as functions whose QROBDD are “worst-case” ones. So we exhibit the relation between hard functions and the Storage Access function (also known as Multiplexer).