Vortex shedding behind an elastically mounted circular cylinder in the presence of group focused waves propagating upstream was investigated using a classical approach (time series and FFT) nonclassical (complex 2D Morlet wavelets). Wavelet analysis emerged as novel solution this regard. Our results include wave trains with different nonlinearities water depths derived from three types spectra ...

geophysical data are always affected by different sources of anomaly. these sources are classified in to three groups: first group is relatively deep sources commonly called as regional effects, second group is near surface sources or local effects and third group is high frequency noises. the only common way to separate the anomaly is separation with respect to the signal frequency. there are ...

ABSTIUCT In our previous work, we introduced a new class of nonstationary stochastic processes whose spectral representation is associated with the wavelet transforms and established a mathematical framework for the analysis of such processes 111. We refer to these processes as uffine stptionary processes. These processes are indexed by the affine p u p , or ax+b group, which can be though of a...

‎This article presents a systematic study for structure of finite wavelet frames‎ ‎over prime fields‎. ‎Let $p$ be a positive prime integer and $mathbb{W}_p$‎ ‎be the finite wavelet group over the prime field $mathbb{Z}_p$‎. ‎We study theoretical frame aspects of finite wavelet systems generated by‎ ‎subgroups of the finite wavelet group $mathbb{W}_p$.

As the internet search evolves toward multimedia content based search and information retrieval, audio content identification and retrieval will likely become one of the key components of next generation internet search machines. In this paper we consider the specific problem of identifying the classical music composition from an unknown performance of the composition. We first explore the chal...

Here the problem of density estimation using wavelets is considered. Nonparametric wavelet density estimators have recently been proposed and seem to outperform classical estimators in representing discontinuities and local oscillations. The purpose of this paper is to give a review of different types of wavelet density estimators proposed in the literature. Properties, comparisons with classic...

It is conjectured that given positive integers l, m, n with l−1 + m−1 + n−1 < 1 and an integer g > 0, the triangle group ∆ = ∆(l,m, n) = 〈X,Y,Z|X l = Y m = Z = XY Z = 1〉 contains infinitely many subgroups of finite index and of genus g. A slightly stronger version of this conjecture is as follows: given positive integers l, m, n with l−1 + m−1 + n−1 < 1 and an integer g > 0, there are infinitel...

We investigate the scale-shift operator for discrete-time signals via action of hyperbolic Blaschke group. Practical implementation issues are discussed and given any arbitrary scale, in framework very classical linear filtering. Our group theoretical standpoint leads to a purely harmonic analysis definition Mellin transform signals. Explicit analytical expressions atoms Fourier-Mellin decompos...

This paper investigates the problem of image reconstruction of compressed sensing. First, an improved smoothed l0 norm (ISL0) algorithm is proposed by using modified Newton method to improve the convergence speed and accuracy of classical smoothed l0 norm (SL0) algorithm, and to increase calculation speed and efficiency. The choice of algorithm parameter is discussed and the algorithm convergen...