6 research outputs found

    Embedding n-Dimensional Crossed Hypercube into Pancake Graphs

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    Among Cayley graphs on the symmetric group, the pancake graph is one as a viable interconnection scheme for parallel computers, which has been examined by a number of researchers. The pancake was proposed as alternatives to the hypercube for interconnecting processors in parallel computers. Some good and attractive properties of this interconnection network include: vertex symmetry, small degree, a sub-logarithmic diameter, extendability, and high connectivity (robustness), easy routing, and regularity of topology, fault tolerance, extensibility and embeddability of other topologies. In this paper, we present the many-to-one dilation 5 embedding of n-dimensional crossed hypercube into n-dimensional pancake patients. These predictors, however, need further work to validate reliability

    A non linear adaptive filter for digital data communication

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    This paper presents a recursive time-varying adaptation step algorithm for updating the linear and quadratic coefficients vectors of a second-order Volterra filter. Simulations are carried in an equalization setup to compare the performance of this algorithm with other variable step least mean square (LMS) algorithms. The obtained results show that this algorithm brings substantial increase in the adaptation speed while keeping simplicity of the conventional LMS algorithm

    Exact Solutions of the Razavy Cosine Type Potential

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    International audienceWe solve the quantum system with the symmetric Razavy cosine type potential and find that its exact solutions are given by the confluent Heun function. The eigenvalues are calculated numerically. The properties of the wave functions, which depend on the potential parameter , are illustrated for a given potential parameter . It is shown that the wave functions are shrunk to the origin when the potential parameter increases. We note that the energy levels () decrease with the increasing potential parameter but the energy levels () first increase and then decrease with the increasing
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