In this work, a class of multivariate multiwavelet packages with multi-scale are introduced, which are generalizations of multivariant wavelet packages. A method for designing a sort of biorthogonal multiwavelet packages in higher dimensions is presented and their biorthogonality property is characterized by virtue of time-frequency analysis method, matrix theory, and operator theory. Three bio...

The reliability of cutting tools is critical to machining precision and production efficiency. The conventional statistic-based reliability assessment method aims at providing a general and overall estimation of reliability for a large population of identical units under given and fixed conditions. However, it has limited effectiveness in depicting the operational characteristics of a cutting t...

We show in this paper two ways to combine wavelet packets and total variation based deblurring methods. For this purpose, we first recall that it is possible to approximate a convolution by mean of an operator diagonal in a wavelet packet basis. Then, we show two possibilities, which uses this property, for combining wavelet packets and total variation approaches. We then show on experiments th...

Currently, the automatic wheezes detection methods are based on the identification of a particular shape of peaks in the respiratory power spectrum. These techniques present a high false detection rate, caused by the presence of peaks in normal sounds similar to those characterising wheezes. In this paper, a new method for automatic wheezes detection based on the wavelet packets was developed. ...

We introduce the multiscale analysis of seasonal persistent processes i e time series models with a singularity in their spectral density function at one or multiple frequencies in The discrete wavelet packet transform DWPT and an non decimated version of it known as the maximal overlap DWPT MODWPT are introduced as an alternative method to spectral techniques for analyzing time series that exh...

As proven by the success of OFDM, multicarrier modulation has been recognized as an efficient solution for wireless communications. Waveform bases other than sine functions could similarly be used for multicarrier systems in order to provide an alternative to OFDM. In this article, we study the performance of wavelet packet transform modulation (WPM) for transmission over wireless channels. Thi...

In this paper, we try to detect mechanical faults of induction motors. For this goal, the stator line current of motor is considered. Wavelet Packet Decomposition of this signal can provide good information about the occurrence, type and size of the fault. But it is better to have more understandable concept for an operator to find fault. Hence, fuzzy system is applied to wavelet features. Ecce...

In this paper, a chaotic encryption framework based on fractional wavelet packet transform (FrWPT) is proposed for securing palmprint data. The palmprint image is first transformed into FrWPT domain with chaotically generated transform orders followed by the alteration of FrWPT coefficients using Hessenberg decomposition. Finally, a reliable decryption scheme is presented to reconstruct origina...

This paper is devoted to the stability of a class of wavelets-packets multiresolution algorithms. These schemes allows to establish a contractivity property that leads to the stability.

ConUtriuUing subject-maner experts and reviewers Included: Bill Arnold PA SZ flow issues Scott Bennett WPD Waste package and design-related FEPs Jim Houseworth UZ UZ flow issues and fracture-related FEPs Dwayne Kicker Repository Modeling Rockfall-related FEPs Dennis O'Leary USGS Faulting-related and tectonic-related FEPs Carl Stepp Site Integration Tectonic-related, faulting-related, and seismi...