Quantum field theory (QFT) describes nature using continuous fields, but physical properties of QFT are usually revealed in terms measurements observables at a finite resolution. We describe multiscale representation free scalar bosonic and Ising model fermionic QFTs wavelets. Making use the orthogonality self-similarity wavelet basis functions, we demonstrate some well-known relations such as ...

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...

Wavelet, a powerful tool for signal processing, can be used to approximate the target function. For enhancing the sparse property of wavelet approximation, a new algorithm was proposed by using wavelet kernel Support Vector Machines (SVM), which can converge to minimum error with better sparsity. Here, wavelet functions would be firstly used to construct the admitted kernel for SVM according to...

Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, engineering and medical sciences. Signal transmission based on of a series numbers. The representation function important all types signal transmission. wavelet technique. We can say that transform the improved version Fourier transform. In this study, classical compared with tools.

Wavelet packets have been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal nonseparable five-variantl wavelet packets is introduced. A new approach for de-signing them is presented by iteration method. We proved that the fivevariant wavelet packets are of the orthogonality trait. We give three orthogonality formulas regarding...

The orthogonal wavelet lowpassed filters coefficients with arbitrary length are constructed in this paper. When N=2k and N k = − 1 2 , the general analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and many other wavelet filters are tested by the proposed novel method, which is very useful for wavelet theory research and many applica...

During the past decade, with the birth of wavelet theory and multiresolution analysis, image processing techniques based on wavelet transform have been extensively studied and tremendously improved. JPEG 2000 uses wavelet transform and provides an integrated toolbox to better address increasing needs for compression. In this report, we study the basic concepts of JPEG2000, the LeGall 5/3 and Da...

Using the Daubechies wavelet theory we establish rational wavelet decompositions of the Hardy–Sobolev classes on the half-plane. The decay of wavelet coefficients is analyzed and error bounds for approximation are given. We give applications to the modeling of linear systems and to the model reduction of infinite-dimensional systems.

The field is expanded in a wavelet series and the wavelet coefficients are varied in a simulation of the 2D φ 4 field theory. The drastically reduced autocorrelations result in a substantial decrease of computing requirements, compared to those in local Metropolis simulations. The improvement is shown to be the result of an additional freedom in the choice of the allowed range of change at the ...