in this paper‎, ‎using a generalized dunkl translation operator‎, ‎we obtain a generalization of titchmarsh's theorem for the dunkl transform for functions satisfying the$(psi,p)$-lipschitz dunkl condition in the space $mathrm{l}_{p,alpha}=mathrm{l}^{p}(mathbb{r},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.

This paper presents a transient power quality (PQ) disturbance classification approach based on a generalized S-transform and probabilistic neural network (PNN). Specifically, the width factor used in the generalized S-transform is feature oriented. Depending on the specific feature to be extracted from the S-transform amplitude matrix, a favorable value is determined for the width factor, with...

To improve the accuracy and speed of the fabric defect detection, a novel and automated algorithm is proposed in this paper. The method is based on the Stcokwell transform (or S-transform, ST), a mathematical operation that provides the frequency content at each time point within a time-varying signal. Firstly, gray level integral projection is performed on the fabric image data to obtain a one...

We introduce noncommutative extensions of the Fourier transform of probability measures and its logarithm in the algebra A(S) of complex-valued functions on the free semigroup on two generators S = FS({z,w}). First, to given probability measures μ, ν whose all moments are finite, we associate states μ̂, ν̂ on the unital free *-bialgebra (B, ǫ,∆) on two self-adjoint generators X,X ′ and a projecti...

In this paper, we propose a simple scheme which produces a new S-box from a given S-box. We use the well-known conversion technique between the polynomial functions over F2n and the boolean functions from F2 to F2. We have applied the scheme to Rijndael S-box and obtained 29 new S-boxes, of which only one is a bijection with better algebraic expression than the original Rijndael S-box and has t...

Purpose – The purpose of this paper is to compare the accuracy of tracking the amplitude and frequency changes of non-stationary electric signals. Design/methodology/approach – Short-time fourier transform (STFT) and S-transform algorithms were applied to analyze non-stationary signals originating from switching of capacitor banks in a power system. Findings – The S-transform showed possibiliti...

The laser Doppler flowmetry (LDF) technique is a non invasive method that measures the microvascular blood cell perfusion through tissue. It uses the principle of Doppler shifts. LDF signals are non stationary. As other physiological signals, the LDF ones need an appropriate method to be analyzed and the extraction of the microvascular activities dynamic evolution is not an easy task. For that ...

The wavelet transform is one of the most important method used in signal processing. In this study, we have introduced frequency-energy characteristics of local earthquakes using discrete wavelet transform. Frequency-energy characteristic was analyzed depend on difference between P and S wave arrival time and noise within records. We have found that local earthquakes have similar characteristic...

This paper presents a new approach for power signal time series data mining using S-transform based K-means clustering technique. Initially the power signal time series disturbance data are pre-processed through an advanced signal processing tool such as S-transform and various statistical features are extracted, which are used as inputs to the K-means algorithm for disturbance event detection....

The target echo of downward-looking radar can be simulated by a multicomponent Chirp signal with noise, which makes signal detection and parameter estimation a very important processing. Aiming at the problems of error detection caused by the cross-terms in WVDHough methods and other modified WVD distribution methods, and low precision due to poor time-frequency concentration in S-Hough transfo...