In order to solve the selection of the optimal wavelet basis for the gas pipeline leak monitoring, the feature of wavelet basis especially for gas pipeline leak monitoring and positioning has been summarized based on the analyze of wavelet basis parameters characteristic and gas pipeline leak negative pressure wave signal feature. A parameter which named reconstruction and mutation joint factor...

Wavelet packet functions provide a new class of orthogonal expansions in L(R) and comprise a rich family of building block functions, localized in time and offer more flexibility than wavelets in representing different types of signals. It is a simple, but very powerful extension of wavelets and multiresolution analysis (MRA). The power of wavelet packet lies in the fact that we have much more ...

In the present paper, Wavelet Networks, are proven to be, as well as many other neural paradigms, a speci c case of the generic paradigm named Weighted Radial Basis Functions Networks. Moreover, a fair comparison between Wavelet and more traditional WRBF networks for function approximation is attempted, in order to demonstrate that the performance depends only on how good the chosen mother/acti...

The objective of this study is to propose multiresolution data fusion scheme using multiresolution analysis (MRA). Three techniques compared, respectively based on Haar wavelet basis (HWB), Daubechies wavelet basis (DWB), and IHS transform. Daubechies Wavelet Basis (DWB) is far more efficient than the HWB and IHS transform, thus establishing the advantages for data fusion of formally multiresol...

In this paper we first introduce the Gabor Wavelet Network (GWN) as a model-based approach for effective and efficient object representation. GWNs combine the advantages of the continuous wavelet transform with RBF networks. They have additional advantages such as invariance to some degree with respect to affine deformations. The use of Gabor filters enables the coding of geometrical and textur...

Wavelet analysis as a p–adic harmonic analysis Abstract New orthonormal basis of eigenfunctions for the Vladimirov operator of p–adic fractional derivation is constructed. The map of p–adic numbers onto real numbers is considered. This map (for p = 2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L 2 (R) generated fro...

In this paper, we present a direct solution method based on wavelet networks for image compression. Wavelet networks are a combination of radial basis function (RBF) networks and wavelet decomposition, where radial basis functions were replaced by wavelets. The results show that the wavelet networks approach succeeded to improve high performances in terms of compression ratio and reconstruction...