Convoluted C-cosine functions and semigroups in a Banach space setting extending the classes of fractionally integrated C-cosine functions and semigroups are systematically analyzed. Structural properties of such operator families are obtained. Relations between convoluted C-cosine functions and analytic convoluted C-semigroups, introduced and investigated in this paper are given through the co...

Numerical simulations of charged particle beams require an approximation to the particle distribution being simulated. We present a mathematical formalism for approximating two-dimensional (2D) particle distribution using a basis composed of scaled and translated Gauss-Hermite (STGH) functions. It is computationally efficient, because it only requires the values of the particle distribution at ...

Bit error rate computation for optical communication systems incorporating equal­ izers and under both noise and intersymbol interference (ISI) is discussed. An ac­ curate method based on a saddlepoint approximation is used for the computation. Previous work based on saddlepoint approximation has considered only the use of ba­ sic integration-and-dump detection. When ISI is strong, this simple ...

Electrical Department, V.J.T.I. Mumbai Abstract In recent researches, there are countless applications where sine and cosine wave are used, like in Physics, Digital Signal Processing for various transforms, several modulation and demodulation techniques etc. There are numerous ways to generate digital sine and cosine waves, the use of previously calculated tables is one of the choices, but it r...

The critical currents of Nb/AI, A1--oxide, AI/Nb tunnel junctions of various shapes have been measured as a function of the applied magnetic field. For the square junction and for some special shapes like the diamond, "1 + cosine" and quartic junctions the Ic (B) pattern falls off theoretically as 1/B ", with n respectively equal to 1, 2, 3 and 4. In general the measurements are in good agreeme...

The transform properties of several orthogonal basis functions are analysed in detail in this report, and their performance compared using a set of grayscale test images, containing both natural and artificial scenes. Well-defined image quality measures are used to determine the type of images that are most suitable for compression for a given basis function. The particular transforms that we h...

Similarity measure is an important tool in pattern recognition and fault diagnosis. This paper proposes two cotangent similarity measures for single-valued neutrosophic sets (SVNSs) based on cotangent function. Then, the weighted cotangent similarity measures are introduced by considering the importance of each element. Moreover, by the comparison between the cotangent similaritymeasures of SVN...

Recently, a nonlinear transformation of autocorrelation coefficients named Phase AutoCorrelation (PAC) coefficients has been considered for feature extraction [1]. PAC based features show improved robustness to additive noise as a result of two operations, performed during the computation of PAC, namely energy normalization and inverse cosine transformation. In spite of the improved robustness ...