Surface wavelet representations [1] are a generalization of classical wavelets on the real line. They allow us to build a multilevel model of spatial data that is defined on an irregular mesh describing a general domain. Such wavelet representations differ from the classical case in that the wavelet filters are spatially variant. Using surface wavelets, one can develop a biorthogonal geometry-a...

The advance of very large scale integrated (VLSI) systems has been continuously challenging today’s circuit simulators in both computational speed and stability. A novel numerical method, the fast wavelet collocation method (FWCM), was first proposed in [1] to explore a new direction of circuit simulation. The FWCM uses a totally different numerical means from the classical time-marching or fre...

With the continuous advancement of machine learning and increasing availability internet-based information, there is a belief that these approaches datasets enhance accuracy price prediction. However, this study aims to investigate validity claim. The examines effectiveness large dataset sophisticated methodologies in forecasting foreign exchange rates (FX) commodity prices. Specifically, we em...

In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of non-linear Hunter–Saxton equation. Firstly, operational matrices integration associated with are constructed by following strategy Chen Hsiao. The merged used to convert given problem into system algebraic equations that can be solved any classical method, such as Newt...

Finite affine groups are given by groups of translations and di- lations on finite cyclic groups. For cyclic groups of prime order we develop a time-scale (wavelet) analysis and show that for a large class of non-zero window signals/vectors, the generated full cyclic wavelet system constitutes a frame whose canonical dual is a cyclic wavelet frame.

This paper presents a new method of detecting Analog to Digital Converter harmonic distortion. The new method is based on Wavelet multi-resolution process to identify instantaneous harmonic components. In classical testing, Fourier transform algorithm was long adopted to estimate Total Harmonic Distortion by obtaining signal power spectrum. While the conventional method of Fourier transform ten...

We present a novel object-based spatiotemporal (3-D) subband/wavelet coding scheme for very low bit-rate video compression. First, the image sequence is segmented into objects based on motion and color. The objects are then independently decomposed by sub-band/wavelet analysis, both in the temporal and spatial domain. The temporal analysis is greatly facilitated over existing methods by the obj...

Introduction PACT Abstract Wavelet packets represent a generalization of the method of multiresolution decomposition and comprise the entire family of subband coded (tree) decompositions. Wavelet packet best basis selection has become a popular method in image compression, whereas the local discriminant bases algorithm is a relatively new feature extraction method based on a wavelet packet expa...

Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet estimation away from well control are a desirable tool to support seismic signal processing. One of these methods based on Homomorphic analysis has long intrigued as a potentially elegant solution to the wa...