In this paper, we analyze complemented group Cellular Automata (CA) derived from Linear Hybrid Group CA with rules 60, 102 and 204. We analyze some properties of the CA. And we give rule vectors which determine the state transition of the CA dividing the entire state space into smaller spaces of equal lengths, and find conditions for the complement vectors corresponding to the rule vectors. And...

This paper presents a novel multi-Gb/s multi-mode LDPC decoder architecture and efficient design techniques for gigabit wireless communications. An efficient dynamic and fixed column-shifting scheme is presented for multi-mode architectures. A novel low-complexity local switch is proposed to implement the dynamic and fixed column-shifting scheme. Furthermore, an efficient quantization method an...

The representation of the desired behaviour of a logical discrete-event system (DES), using predicates and associated sets of blocking events, is introduced. The control of a regular DES consists in blocking events when a predicate concerning the system behaviour becomes true. If a blocking event is uncontrollable an algorithm is given which transforms the associated “uncontrollable” predicates...

The ability to prepare single-crystal faces has become central to developing and testing models for chemistry at interfaces, spectacularly demonstrated by heterogeneous catalysis and nanoscience. This ability has been hampered for hexagonal ice, Ih--a fundamental hydrogen-bonded surface--due to two characteristics of ice: ice does not readily cleave along a crystal lattice plane and properties ...

A regioselective [3 + 2] cycloaddition of benzofuranone type active olefins with allenoates catalyzed by trivalent phosphines has been developed, which provided an easy access to enriched functionalized spirocyclic benzofuranones. The reactions accommodated a number of benzofuranone type electron-deficient olefins and allenoates to give the desired 3-spirocyclopentane benzofuran-2-ones or 2-spi...

The sequential and indeterminate behavior of an end-around-carry (EAC) adder is examined. This behavior is commonly overlooked in the literature. Design modifications to impose determinism are provided. These modifications also eliminate the troublesome negative zero found in the one's complement number system.

Two kinds of configuration schemes about eight and ten single-axis vector magnetometers are put forward on the basis of describing the principle of underwater magnetic field localization. The measurement equations of magnetic field magnitude and gradients are educed on condition of two configuration schemes, and that the calculated precisions of both magnetic field magnitude and gradients are c...

The paper introduces an approach for crosstalk-free bitpermute-complement (BPC) permutations routing in hybrid optical variable-stage shuffle-exchange networks (SENs) of size where N=2, and the number of stages can vary in . The number of stages should be asserted as required by a given BPC permutation for its admissibility. The crosstalk is caused by interacting of two optical signals within t...

Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. We introduce exactly realizable desired trajectories as these trajectories which can be tracked exactly by an appropriate control. Exactly realizable trajectories are characterized mat...