In some cases, like the proposed IEEE 802.11ah draft specification [3], there arises a need to have a short Cyclic Redundancy Check (CRC) code to detect errors on the information bits in the various signal fields. While an optimum CRC of the required length can be chosen for this, in order to minimize complexity it may be desirable to “puncture” an existing CRC generator to reduce the number of...

Quantum-dot Cellular Automata (QCA) is one of the most substitute emerging nanotechnologies for electronic circuits, because of lower power consumption, higher speed and smaller size in comparison with CMOS technology. The basic devices, a Quantum-dot cell can be used to implement logic gates and wires. As it is the fundamental building block on nanotechnology circuits. By applying XOR gate the...

When parity equations are designed ad hoc., the low frequency gain of the fault-to-residual transfer function can become low or even zero which is highly undesirable. As a solution, a systematic design procedure, utilizing the freedom available in residual generator design, is proposed. The method is called residual shaping and guarantees reasonable performance. It is used together with RLS to ...

Absfruct We construct a class of codes derived from algebraic plane curves. The concepts and results from algebraic geometry we use are explained in detail, and no further knowledge of algebraic geometry is needed. Parameters, generator and parity-check matrices are given. The main result is a decoding algorithm which turns out to be a generalization of the Peterson algorithm for decoding BCH c...

In the Minimal Supersymmetric Standard Model (MSSM), the simultaneous appearance of lepton and baryon number violation causes the proton to decay much faster than the experimental bound allows. Customarily, a discrete symmetry known as R-parity is imposed to forbid these dangerous interactions. This work begins by arguing that there is no deep theoretical motivation for preferring R-parity over...

The Monte Carlo generator MERADGEN 1.0 for the simulation of radiative events in parity conserving doubly-polarized Møller scattering has been developed. Analytical integration wherever it is possible provides rather fast and accurate generation. Some numerical tests and histograms are presented.

Abstract: In this paper, an FD scheme for detecting sensor faults in Lateral dynamics system is presented. The main contribution is to present an analytical solution to design residual generator using parity space approach in order to handle the time varying parameter in the system. The designed residual generator is realized in an observer structure which provides numerical stability by on-lin...

The function of a parity generator/checker, which is an essential operation for detecting errors in data transmission, has been realized with multiphotochromic switches by taking advantage of a neuron-like fluorescence response and reversible light-induced transformations between the implicated isomers.

This paper deals with problems of parity space-based fault detection for a class of discrete-time linear Markovian jump systems. A new algorithm is firstly introduced to reduce the computation of mode-dependent redundancy relation parameter matrices. Different from the case of linear time invariant systems, the parity space-based residual generator for a Markovian jump system cannot be designed...

In this paper, it is shown how a residual generator can be synthesized for time-delay systems using parity relations. The goal of this study is to investigate the application of a modern symbolic computation like MAPLE to the development and the design of fault detection systems for time-delay systems. In the literature, the problem brougth up by time-delay systems has been solved in two differ...