this article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. it is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

In this paper we discuss the numerical solution of initial-boundary value problem for the fourth order parabolic partial integro-differential equation. We use the forward Euler scheme for time discretization and the quasi-wavelet method for space discretization. Sometimes, we give a new method about the treatment of boundary condition. Numerical experiment is included to demonstrate the validit...

In this paper, a practical quasi-lossless compression concept and corresponding compression ratio and quality requirements are proposed for the multiple band images database construction and web release application. The physical therapy of 3D wavelet analysis to the multiple band images data compression is discussed and the fast 3D wavelet transformation model and algorithm to the multiple band...

In neural network the connection strength of each neuron is updated through learning. Through repeated simulations of crisp neural network, we propose the idea that for each neuron in the network, we can obtain reduced model with more efficiency using wavelet based multiresolution analysis (MRA) to form wavelet based quasi fuzzy weight sets (WBQFWS). Such type of WBQFWS provides good initial so...

The wavelet transform is a widely used time-frequency tool for signal processing. However, with some rare exceptions, its use in signal processing is limited to discrete-time critically sampled transforms, which are particular cases of subband coding. On the other hand, interest in continuous wavelet analyses has been repeatedly demonstrated in the literature. However, implementation challenges...

This study contributes to a better understanding of the spatial and temporal patterns of ecosystem dynamics in Southern Africa in response to climatic variability. First, we identified the areas where NDVI is covarying with precipitation, and where rainfall anomalies are correlated with NDVI anomalies. The results suggest that these correlations are related to quasi-periodicities in rainfall pa...

The work of de Boor and Fix on spline approximation by quasiinterpolants has had far-reaching influence in approximation theory since publication of their paper in 1973. In this paper, we further develop their idea and investigate quasi-projection operators.We give sharp estimates in terms ofmoduli of smoothness for approximation with scaled shift-invariant spaces by means of quasi-projection o...

Many physiological signals may be described either as isolated pulses or as quasi-periodic sequences of isolated pulses. Wavelets are a powerful tool for the representation and analysis of such physiologic waveforms because a wavelet has finite duration (compact support) as contrasted with Fourier methods based on sinusoids of infinite duration. We show two examples of physiological signal proc...

This paper presents a wavelet Galerkin scheme for the fast solution of boundary integral equations. Wavelet Galerkin schemes employ appropriate wavelet bases for the discretization of boundary integral operators. This yields quasi-sparse system matrices which can be compressed to O(NJ) relevant matrix entries without compromising the accuracy of the underlying Galerkin scheme. Herein, O(NJ) den...