Abstract—A new interpretation for the wavelet analysis is reported, which can is viewed as an information processing technique. It was recently proposed that every basic wavelet could be associated with a proper probability density, allowing defining the entropy of a wavelet. Introducing now the concept of wavelet mutual information between a signal and an analysing wavelet fulfils the foundati...

Abstract: Unlike traditional approaches to synthesis of wavelet bases the proposed method uses a priori information on the signal shape and noise correlation function to adapt the wavelet analysis for experimental conditions. This helps to minimize the effect of noise on the results of signal analysis and to enhance measurement reliability.

We investigate how the regularity of nonharmonic Fourier series is related to the spacing of their frequencies. This is obtained by using a transform which simultaneously captures the advantages of the Gabor and Wavelet transforms. Applications to the everywhere irregularity of solutions of some PDEs are given. We extend these results to the anisotropic setting in order to derive directional ir...

Micro-earthquake activity is reported for the first 6 months of 2011 in Long Beach, CA using a density urban exploration seismic network. Detected events include at least four times as many man-made events as possible real earthquakes indicated by repeated locations, and distinct patterns in the hour-of-day and day-of-week origin times. Some discrimination appears possible utilized the earthqua...

Ö Z E T : Bu makalede, gravite anomalilerinin ayr›m problemi için DiscreteParameter Wavelet Transform (DPWT) 2-B Multi-Resolution Analizi (MRA) k u l l a n › l d › . Yüzeye yak›n kürelerin ortalama derinliklerini bulmak için güç spekturum analizi kullan›ld›. Yöntemin geçerlili¤ini test etmek için sentetik yap›lar kulland›k ve memnun edici neticeler bulduk. Gömülü cisimlerin ortalama derinlikler...

The present paper deals with the wavelet transform of fractional integral operator (the RiemannLiouville operators) on Boehmian spaces. By virtue of the existing relation between the wavelet transform and the Fourier transform, we obtained integrable Boehmians defined on the Boehmian space for the wavelet transform of fractional integrals.

The ability to detect and classify the type of fault plays a great role in the protection of power system. This procedure is required to be precise with no time consumption. In this paper detection of fault type has been implemented using wavelet analysis together with wavelet entropy principle. The simulation of power system is carried out using PSCAD/EMTDC. Different types of faults were stud...

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...