In this paper, waveforms of collided digital signal bits are analyzed by superposition of step responses of a distributed constant circuit for a transmission line. Our analysis indicates narrow voltage spike on the leading edge of bit pulses in collided waveforms. The width and peak of the spike calculated by our analysis were matched with those of experiments. Since the spike might cause signa...

We present three algorithms for supervisor synthesis in discrete-event systems. In all cases the desired language is not both controllable and observable. To allow supervisor synthesis, we approximate the desired language with languages that are controllable and observable. These languages are contained in the desired language, and are ‘large’ in some sense. We note that there exists algorithms...

UNLABELLED BACKGROUND The consumption of dietary supplements is widely spread and on the rise. These dietary supplements are generally used without prescriptions, proper counseling or any awareness of their health risk. The current study aimed at analyzing the metals in 33 samples of imported dietary supplements highly consumed by the Lebanese population, using 3 different techniques, to ens...

In this paper, we explore the possibilities and limitations of recovering sparse signals in an online fashion. Employing a mean field approximation to the Bayes recursion formula yields an online signal recovery algorithm that can be performed with a computational cost that is linearly proportional to the signal length per update. Analysis of the resulting algorithm indicates that the online al...

By an old result of Cohn (1965), a Hadamard matrix of order n has no proper Hadamard submatrix of order m > n/2. We generalize this result to maximal determinant submatrices of Hadamard matrices, and show that an interval of length ∼ n/2 is excluded from the allowable orders. We make a conjecture regarding a lower bound for sums of squares of minors of maximal determinant matrices, and give evi...

A vector algorithm is an algorithm that applies a bounded number of vector operations to an input vector, regardless of the length of the input. The allowable operations are usually restricted to bit-wise operations available in processors, including shifts and binary addition with carry. This paper studies automata for which it is easy to derive a vector algorithm to compute the sequence of st...

Motivated by the need to meaningfully implement the Institute of Medicine's (IOM's) definition of health care disparity, this paper proposes statistical frameworks that lay out explicitly the needed causal assumptions for defining disparity measures. Our key emphasis is that a scientifically defensible disparity measure must take into account the direction of the causal relationship between all...