Multiplicative Abrupt Changes (ACs) have been considered in many applications. These applications include image processing (speckle) and random communication models (fading). Previous authors have shown that the Continuous Wavelet Transform (CWT) has good detection properties for ACs in additive noise. This work applies the CWT to AC detection in multiplicative noise. CWT translation invariance...

Application of high-precision non-intrusive flow field measurement techniques in transonic cryogenic wind tunnels (CWT) is confined to the lack suitable tracer particles. The present study explored feasibility utilizing non-equilibrium condensing nitrogen droplets as A numerical model condensation was established. Accordingly, process and analysis tracing were investigated. results reveal that ...

This paper concerns the issue of wavelet analysis of signals by continuous and discrete wavelet transforms (CWT – Continous Wavelet Transform, DWT – Discrete Wavelet Transform). The main goal of our work was to develop a program which, through the CWT and the DWT analyses, would obtain graph of time-scale changes and would transform it into the spectrum, that is a graph of frequency changes. In...

The low voltage level synchrophasor measurement data are investigated to estimate the damping ratio and to detect any oscillation mode using Fast Fourier Transform (FFT) and Continuous Wavelet Transform (CWT). Complex Morlet (CM) is selected as a mother wavelet function considering its ability to reveal time and frequency localization simultaneously. A Two Area Four Machine System (TAFMS) model...

This study presents a novel method for the extraction and screening of knee joint vibroarthrographic (VAG) signals using an independent component analysis (ICA) technique. Compared to existing VAG methods, the proposed technique has the advantages of a lower computational complexity, a rapid convergence speed, and feature detection. A continuous wavelet transformation (CWT) technique is propose...

We present a group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) x J&, embedded into the Lorentz group S00(3, 1) via the Iwasawa decomposition, and X Y SO,(3,1)/C. The space L2(S2, a!~) carries a unitary irreduci...

In this paper, we present variants of the Dual-Tree Complex Wavelet Transform (DT-CWT) in order to automatically classify endoscopic images with respect to the Marsh classi cation. The feature vectors either consist of the means and standard deviations of the subbands from a DT-CWT variant or of the Weibull parameter of these subbands. To reduce the e ects of di erent distances and perspectives...

The dual-tree complex wavelet transform (CWT) is a relatively recent enhancement of the discrete wavelet transform (DWT) with important additional properties: It is nearly shift-invariant and directionally selective in two and higher dimensions. It achieves this with a redundancy factor of only 2 for d-dimensional signals, which is substantially lower than the undecimated DWT. The multidimensio...

Recently, a Monte Carlo approach was proposed for processing highly redundant continuous frames. In this paper, we present and analyze applications of new theory. The computational complexity the method relies on frame being so-called linear volume discretizable (LVD). LVD property means that number samples in coefficient space required by is proportional to resolution discrete signal. We show ...

Localization is one of the current challenges in indoor navigation research. The conventional global positioning system (GPS) affected by weak signal strengths due to high levels interference and fading environments. Therefore, new solutions tailored for environments need be developed. In this paper, we propose a deep learning approach localization. However, performance depends on quality featu...