Wavelets decomposition properties in the vicinity of Gibbs instabilities
نویسندگان
چکیده
Applicability of the wavelet decomposition method for detection of a mass lines on some complicated background just above the reaction phase space limit has been investigated. A possibility of circumventing so-called Gibbs instability by means of artificial background prolongation is reported.
منابع مشابه
Fault Strike Detection Using Satellite Gravity Data Decomposition by Discrete Wavelets: A Case Study from Iran
Estimating the gravity anomaly causative bodies boundary can facilitate the gravity field interpretation. In this paper, 2D discrete wavelet transform (DWT) is employed as a method to delineate the boundary of the gravity anomaly sources. Hence, the GRACE’ satellite gravity data is decomposed using DWT. DWT decomposites a single approximation coefficients into four distinct components: the appr...
متن کاملMonitoring Nonlinear Profiles Using Wavelets
In many manufacturing processes, the quality of a product is characterized by a non-linear relationship between a dependent variable and one or more independent variables. Using nonlinear regression for monitoring nonlinear profiles have been proposed in the literature of profile monitoring which is faced with two problems 1) the distribution of regression coefficients in small samples is unkno...
متن کاملNumerical Stability of Biorthogonal Wavelet Transforms
For orthogonal wavelets, the discrete wavelet and wave packet transforms and their inverses are orthogonal operators with perfect numerical stability. For biorthogonal wavelets, numerical instabilities can occur. We derive bounds for the 2-norm and average 2-norm of these transforms, including eecient numerical estimates if the number L of decomposition levels is small, as well as growth estima...
متن کاملA combined Wavelet- Artificial Neural Network model and its application to the prediction of groundwater level fluctuations
Accurate groundwater level modeling and forecasting contribute to civil projects, land use, citys planning and water resources management. Combined Wavelet-Artificial Neural Network (WANN) model has been widely used in recent years to forecast hydrological and hydrogeological phenomena. This study investigates the sensitivity of the pre-processing to the wavelet type and decomposition level in ...
متن کاملInterleaved Dimension Decomposition: a New Decomposition Method for Wavelets and Its Application to Computer Graphics
Wavelets in 2D or higher dimensions are often generated by a decomposition scheme from 1D wavelets. There are two decomposition schemes called the standard and the nonstandard decomposition which are used in most applications of higher dimensional wavelets. This paper introduces a new decomposition method, the interleaved dimension decomposition and compares its advantages and disadvantages wit...
متن کامل