2-D elementspace and beamspaceextensions of Friedlander’s wideband interpolated root-MUSIC technique are applied to azimuthvelocity source location using real seismic data from the GERESS array (Germany). We demonstrate that 2-D interpolated rootMUSIC is able to estimate the parameters of a typical seismic source with a good accuracy. The use of interpolated root-MUSIC and its beamspace modific...

The finite impulse response filters are inherently stable and have linear phase response property. The main drawback of these filters is lies in requirement of higher orders for similar magnitude response compared to Infinite Impulse response filters. Also the amount of computational complexity needed for the implementation of the filter, especially for the filters with narrow transition band i...

modulo the condition that ' (a) = a for all a 2 A if P holds. If ' is the injection map A B, then C is simply the union A [ fb 2 B : Pg, which is a subring of B. This is the case of most interest when dealing with discrete rings. Interpolated rings are used to construct Brouwerian examples. For example, the interpolated rings in Z Q provide a Brouwerian example of a discrete ring C and a …nitel...

The recent emergence of the discrete fractional Fourier transform (DFRFT) has caused a revived interest in the eigenanalysis of the discrete Fourier transform (DFT) matrix F with the objective of generating orthonormal Hermite-Gaussian-like eigenvectors. The Grünbaum tridiagonal matrix T – which commutes with matrix F – has only one repeated eigenvalue with multiplicity two and simple remaining...

We propose a design procedure for the real, equal-norm, lapped tight frame transforms (LTFTs). These transforms have been recently proposed as both a redundant counterpart to lapped orthogonal transforms and an infinite-dimensional counterpart to harmonic tight frames. In addition, LTFTs can be efficiently implemented with filter banks. The procedure consists of two steps. First, we construct n...

We introduce a new discrete fractional Fourier transform (DFrFT) based on only the DFT matrix and its powers. Eigenvectors of the DFT matrix are obtained in a simple-yetelegant and straightforward manner. We show that this DFrFT definition based on the eigentransforms of the DFT matrix mimics the properties of continuous fractional Fourier transform (FrFT) by approximating the samples of the co...

A fundamental result of free probability theory due to Voiculescu and subsequently refined by many authors states that conjugation by independent Haar-distributed random unitary matrices delivers asymptotic freeness. In this paper we exhibit many other systems of random unitary matrices that, when used for conjugation, lead to freeness. We do so by first proving a general result asserting “asym...

Background: Medical image interpolation is recently introduced as a helpful tool to obtain further information via initial available images taken by tomography systems. To do this, deformable image registration algorithms are mainly utilized to perform image interpolation using tomography images.Materials and Methods: In this work, 4DCT thoracic images of five real patients provided by DI...

background: a balanced nutrition schedule provides the essential substances for proper oral health. objectives: the aim of this study was to investigate the association between dental caries and body mass index in 6-11 year-old children in zahedan. materials and methods: in this cross-sectional study 1213 children (670 girls, 543 boys) were included. body mass index (bmi) and clinical examinati...