The purpose of this study was to develop an algorithm to classify muscle fatigue content in sports related scenarios. Mechanomyography (MMG) signals of the biceps muscle were recorded from thirteen subjects performing dynamic contractions until fatigue. For training and testing purposes, the signals were labeled in two classes (Non-Fatigue and Fatigue). A genetic algorithm was used to evolve a ...

A wavelet Galerkin finite-element method is proposed by combining the wavelet analysis with traditional finite-element method to analyze wave propagation phenomena in fluid-saturated porous medium. The scaling functions of Daubechies wavelets are considered as the interpolation basis functions to replace the polynomial functions, and then the wavelet element is constructed. In order to overcome...

Removing divergences in the negative moments of the multi-fractal partition function with the wavelet transformation ABSTRACT We present a promising technique which is capable of accessing the divergence free component of the partition function for the negative moments of the multi-fractal analysis of data using the wavelet transformation. It is based on implicitly bounding the local logarithmi...

In this paper, a new tool for crack detection in operating rotors based on wavelet theory is described. Customarily, two approximate methods of spectral analysis, i.e. ShortTime Fourier transform and Wigner distribution, have been used to analyse the vibration components of cracked rotors during run-up or run-down periods. However, for both methods, high resolution cannot be achieved simultaneo...

A fundamental principle for many applications of wavelets is that the size of the wavelet coeecients indicates the local smoothness of the represented function f. We show how explicit and best possible a priori bounds for wavelet coeecients can be obtained for any wavelet from the coeecients of its two scale relation.

We study p-adic multiresolution analyses (MRAs). A complete characterisation of test functions generating MRAs (scaling functions) is given. We prove that only 1-periodic test functions may be taken as orthogonal scaling functions. We also suggest a method for the construction of wavelet functions and prove that any wavelet function generates a p-adic wavelet frame.

A wavelet is a basis function used to construct a wavelet transform. The first known wavelet – Haar wavelet was proposed in 1909 by Alfred Haar. Wavelet theory has been applied to various problems including signal processing in communications, image compression-extraction, solution of the linear and nonlinear integral equations etc. Haar wavelet based discretization technique is adopted for sol...

A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton’s result on wavelet tight frames in L(IR) is generalized to the n-dimensional case. Two ways of constructing certain dual wavelet tight frames in L(IR) are suggested. Finally examples of smooth wavelet tight frames in L(IR) and H(IR) are provided. In...

In this paper, the influence of four key issues on wavelet-based analysis of hydrologic series’ complexity under multi-temporal scales, including the choice of mother wavelet, noise, estimation of probability density function and trend of series data, was first studied. Then, the complexities of several representative hydrologic series data were quantified and described, based on which the perf...

This study investigates the wavelet-based system identification capabilities on determining nonlinearity based impulse response function. Wavelet estimates of instantaneous envelopes and frequency are used to plot backbone curve. wavelet estimate is then values parameter for system. Two weakly nonlinear oscillators, which Duffing Van der Pol have been analyzed using this approach. A case a mode...