This detail-oriented text is intended for engineers and applied mathematicians who must
write computer programs to perform wavelet and related analysis on real data. It contains an …

We start with a description of the canonical coherent states (CS) and some historical
remarks on the evolution of the concept and its applications. Then we present in detail the …

The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit using
stationary phase approximations are investigated. In particular, it is shown how, under some …

One important field in the framework of computer music concerns the modeling of sounds. In
order to design digital models mirroring as closely as possible a real sound and permitting in …

The analysis of oriented features in images requires two-dimensional directional wavelets.
Among these, we study in detail the class of Cauchy wavelets, which are strictly supported in …

Aim of this research is to propose a wavelet-fractal model for detection of geochemical
anomaly based on a modified Morlet Wavelet Kernel (MMWK). This study was carried out for …

The discrete wavelet transform has been used in NMR spectroscopy by several authors. We
show here that the continuous wavelet transform (CWT) is also an efficient tool in that …

Suppressing the solvent peak is important in many applications of biomedical NMR
spectroscopy in order to quantify the metabolites with a great accuracy. Among the …

We survey the various applications in MRS of the wavelet transform and related time‐
frequency methods. For the sake of completeness, we first quickly review the mathematical …

The multi-level dynamics of an atmosphere system exhibits temporal structures in different
types of climate data. This article addresses two issues in multi-period analysis of climate …