The main objective of this course is to conduct a study on wavelet theory from both theoretical and application perspective (such as signal compression, denoising, communication systems, and recognition) in a coherence manner. The course first builds up background on LTI operators and Fourier analysis (including Shannon’s sampling theory) and its short comings. Windowed Fourier Transform (WFT) ...

this paper presets a method including a combination of the wavelet transform and fuzzy function approximation (ffa) for high impedance fault (hif) detection in distribution electricity network. discrete wavelet transform (dwt) has been used in this paper as a tool for signal analysis. with studying different types of mother signals, detail types and feeder signal, the best case is selected. the...

This paper develops a new crop mapping method through combined utilization of both time and frequency information based on wavelet variance and Jeffries-Matusita (JM) distance (CIWJ for short). A two-dimensional wavelet spectrum was obtained from datasets of daily continuous vegetation indices through a continuous wavelet transform using the Mexican hat and the Morlet mother wavelets. The time-...

Rate scalable video compression techniques are very attractive, because they are able to encode the video in embedded way that makes the decoding process more flexible to the bandwidth changes. Embedded wavelet coding technology plays an important role in this area. Traditional wavelet transforms are globally optimized. It is very efficient to code the natural images where sudden transitions ra...

Drought forecasting is essential for risk management and preparedness of drought mitigation measures. The present study aims to evaluate the effectiveness proposed hybrid technique regional forecasting. Multiple Linear Regression (MLR), Artificial Neural Network (ANN), two wavelet techniques, namely, Discrete Wavelet Transform (DWT) Packet (WPT), were evaluated in up a lead time six months. Sta...

Structural damage of composite materials used in aeronautics and aerospace has attracted increasing attention. Efficient reliable Health Monitoring (SHM) systems are required to provide a probabilistic interpretation diagnostics. In this study, crack identification thick sandwich structure based on Gaussian Processes (GP) classification is reported by numerical simulations. The goal the study o...

In the last decade, Daubechies orthogonal wavelets have been successfully used and proved their practicality in many signal processing paradigms. The construction of these wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with them should exhibit. I...

Abstract This study aimed to predict monthly flows using an adaptive neuro-fuzzy inference system (ANFIS) and wavelet-ANFIS (W-ANFIS) determine the effect of wavelet transformation on success machine learning model. For this purpose, model inputs are divided into three subcomponents with Daubechies 10 mother wavelets. Subcomponents highest correlation were chosen as inputs. The most suitable mo...