Ohio University
Mathematics
Abstract In this article, we study a class of biorthogonal sampling functions in the context of bandlimited wavelets, Meyer type wavelets. Originally raised in the construction of bandlimited wavelets, these sampling functions also... more
An Energy Difference of Multiresolution Analysis (EDMRA) method for power quality (PQ) disturbances analysis has been proposed in this paper. At each wavelet decomposition level, the squared value of the detail information is calculated... more
Abstract. To discern similarity and differences in partial DNA strings based on dissimilarity (distance/difference) among the various SNPs, one of the challenge aspects is to select felicitous metrics or measurements. Some of information... more
ABSTRACT This paper proposes an approach to integrate the self-organizing map (SOM) and kernel density estimation (KDE) techniques for the anomaly-based network intrusion detection (ABNID) system to monitor the network traffic and capture... more
Abstract—Interpolation using variate functions, such as polynomials and trigonometric functions are common methods used to process discrete signal samples. Since most electronic devices used for quantization provide equally spaced signal... more
Abstract For a time-independent Schrödinger equation with Hamiltonian operator H=−∆+ V on L2 (R3N) we call Gz= RzV, the Green function operator, where Rz is the resolvent of−∆. We consider an iteration scheme that is based on the operator... more
Abstract In the past of two decades, wavelet methods have been adopted enthusiastically in many engineering applications such as signal and image processing. However, like most of the classic orthogonal expansions, wavelet expansions also... more
ABSTRACT This paper presents a new nonparametric method to simulate probability density functions of some random variables raised in characterizing an anomaly based intrusion detection system (ABIDS). A group of kernel density estimators... more