A new algorithm is proposed for computing the embedding dimension and delay time in phase space reconstruction. It makes use of the zero of the nonbias multiple autocorrelation function of the chaotic time series to determine the time delay, which efficiently depresses the computing error caused by tracing arbitrarily the slop variation of average displacement (AD) in AD algorithm. Thereafter, ...

This correspondence proposes two methods for designing partially adaptive beamformers that satisfy a performance specification over a set of likely interference scenarios. Both methods choose the adaptation space in a sequential fashion; the dimension is increased one by one until the performance specification is attained. In the multilevel point design method, each dimension of the adaptation ...

Minimum sums of moments or, equivalently, distorsion of optimum quantizers play an important role in several branches of mathematics. Fejes Tóth’s inequality for sums of moments in the plane and Zador’s asymptotic formula for minimum distortion in Euclidean d-space are the first precise pertinent results in dimension d ≥ 2. In this article these results are generalized in the form of asymptotic...

The decomposed pyramid vector quantization (DPVQ) by using 16-dimensional Barnes-Wall lattice is presented and also its fast algorithm. DPVQ is motivated by a geometric structure of the memoryless Laplacian source of vectors. Its quantization vectors are the points that lie on the surface of 16-dimensional pyramid and also are points of BarnesWall lattice, which is an optimum one for this dimen...

The quantum basin hopping algorithm for continuous global optimisation combines a local search with Grover’s algorithm, and can locate the global optimum using effort proportional to the square root of the number of basins. This article establishes that Jordan’s quantum gradient estimation method can be incorporated into the quantum basin hopper, providing an extra acceleration proportional to ...

We determine the crossover exponents associated with the traceless tensorial quadratic field, the thirdand fourth-harmonic operators for O(n) vector models by re-analyzing the existing six-loop fixed dimension series with pseudo-ǫ expansion. Within this approach we obtain the most accurate theoretical estimates that are in optimum agreement with other theoretical and experimental results. PACS ...

Control of critical dimension (CD) variation is of extreme importance in modern semiconductor manufacturing processes. To be controlled, the nature of CD variation must be understood. This paper outlines a method for characterizing systematic spatial variation by means of dense electrical linewidth measurements, including actual sample data. In addition, since exhaustive sampling is prohibitive...