Wavelet analysis, although used extensively in many areas of applied sciences, has not yet fully entered the economics discipline, even if many economic processes are the result of the actions of several agents who simultaneously operate at different horizons and/or have different term objectives. Wavelets provide a unique decomposition of time series observations that enable one to decompose t...

As one of the major directions in applied and computational harmonic analysis, the classical theory of wavelets and framelets has been extensively investigated in the function setting, in particular, in the function space L2(R). A discrete wavelet transform is often regarded as a byproduct in wavelet analysis by decomposing and reconstructing functions in L2(R) via nested subspaces of L2(R) in ...

This paper presents a robust method of determining the number of texture segments in an image. We take an N ×N image and decompose it into n × n blocks. A three-scale two-dimensional discrete wavelet transform is performed on each n × n block. For each n × n block, this transformation produces coefficients for 25 wavelet channels. The energy of each channel is used as a tuple for a vector in th...

In our contribution, we compute new edge wavelet filters for image compression and we compare errors for several image compression techniques. Our numerical experiments confirm the theoretical assumption that the error of the compression is smaller for the discrete wavelet transform with derived edge filters than for other methods using an extension of an image.

Received Nov 07, 2016 Revised Jan 13, 2017 Accepted Jan 23, 2017 An appropriate fault detection and classification of power system transmission line using discrete wavelet transform and artificial neural networks is performed in this paper. The analysis is carried out by applying discrete wavelet transform for obtained fault phase currents. The work represented in this paper are mainly concentr...

Insulation used in transformer is mostly oil pressboard insulation. Insulation failure is one of the major causes of catastrophic failure of transformers. It is established that partial discharges (PD) cause insulation degradation and premature failure of insulation. Online monitoring of PDs can reduce the risk of catastrophic failure of transformers. There are different techniques of partial d...

introduction: studying long-term trend changes of meteorological parameters is one of the routine methods in atmospheric studies, especially in the climate change subject. among the meteorological parameters, temperature is always considered as one of the most atmospheric elements and studying it in order to gain a better understanding of the climate change phenomenon, has been effective. in ad...

Gabor frames, especially digital Gabor filters, have long been known as indispensable tools for local time-frequency analysis of discrete signals. With strong orientation selectivity, tensor products discrete (tight) Gabor frames also see their applications in image analysis and restoration. However, the lack of multi-scale structures existing in MRA-based wavelet (tight) frames makes discrete ...

The discrete harmonic wavelet transform was developed by Newland in 1993 1, 2 . Similar to the ordinary discrete wavelet transform, the classical harmonic wavelet transform can also perform multiresolution analysis of a function. In addition, it has a fast algorithm based on fast Fourier transform for numerical implementation. A distinct advantage of harmonic wavelets is that they are disjoint ...

In this paper, we propose a watermarking technique based on Haar Discrete Wavelet Transform-Discrete Cosine Transform (HDWT-DCT) by using matrixbased Two-dimensional Linear Discriminant Analysis (2DLDA) for color images. By embedding the reference watermark and using matrix-based 2DLDA scheme, we do not need all the embedded information of watermark and apply only part of matrix-based samples f...