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 …

Gabor and wavelet methods are preferred to classical Fourier methods, whenever the time
dependence of the analyzed signal is of the same importance as its frequency dependence …

Finding optimal representations of signals in higher dimensions, in particular directional
representations, is currently the subject of intensive research. Since the classical wavelet …

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 …

For an efficient and directional representation of signals in higher dimensions, we propose
the non-isotropic angular Stockwell transform in the context of time-frequency analysis. The …

The linear canonical transform (LCT) has long been recognized as a competent tool for
optics and signal processing. However, the LCT cannot reveal the local LCT-frequency …

The aim of this article is to formulate some new uncertainty principles for the continuous
shearlet transforms in arbitrary space dimensions. Firstly, we derive an analogue of Pitt's …

The polar wavelet transform–a generalized form of the classical wavelet transform has been
extensively used in science and engineering for finding directional representations of …

In the field of optics and signal processing, the novel quadratic-phase Fourier transform
(QPFT) has emerged as a powerful tool. However, it has a drawback as it fails in locating the …

In this paper, we apply wavelet thresholding for removing automatically ground and
intermittent clutter (airplane echoes) from wind profiler radar data. Using the concept of …