Battle-Lemarie wavelet systems of natural orders are established in the paper. The main result work is decomposition theorem Besov and Triebel-Lizorkin spaces with local Muckenhoupt weights, which performed terms bases generated by such a type. wavelets splines suit very well for study integration operators.

In this study, an image denoising algorithm is presented, which takes into account wavelet thresholding and bilateral filtering in transform domain. The proposed algorithm gives an extension of the bilateral filter i.e., multiresolution bilateral filter, in which bilateral filtering is applied to the approximation sub bands and normal shrink is used for thresholding the wavelet coefficients of ...

accuracy of inertial navigation system (ins) is limited by inertial sensors imperfections. before using inertial sensors signals in the data fusion algorithm, noise removal method should be performed, in which, wavelet decomposition method is used. in this method the raw data is decomposed into high and low frequency data sets. in this study, wavelet multi-level resolution analysis (wmra) techn...

Wavelet transforms include data decompositions and reconstructions. This paper is concerned with the authenticity issues of the data decomposition, particularly for data visualization. A total of six datasets are used to clarify the approximation characteristics of compactly supported orthogonal wavelets. We present an error tracking mechanism, which uses the available wavelet resources to meas...

A continuous wavelet transform, with Morlet wavelets as the basis functions, is used to map speech into the time-frequency domain. Forward and inverse FFT routines are used to implement the wavelet transforms. A coefficient covariance matrix is defined and an Eigenvalue decomposition is used to optimally determine significant wavelet based filters that accurately represent speech and potentiall...

The accurate identification of Very Fast Transient Overvoltage (VFTO) is the key overvoltage control in modern smart grids. In order to accurately identify VFTO generated by operation a disconnector Gas Insulated Substation (GIS), method based on Wavelet Transform (WT) and Singular Value Decomposition (SVD) proposed. simulation model established ATP-EMTP software first, then wavelet decompositi...

Biometrics refers to automatic recognition of individuals. It is based on their physiological and / or behavioral. The postural control, despite that is a human behavioral characteristic, has not been well developed in the field of biometrics. The work performed in this thesis is based on the stabilometric signals analysis ant biometric application. Firstly, a study of the postural information ...

Many important problems in engineering and science are well-modeled by Poisson processes. A common technique for noise reduction is to use a filter. Wiener filter, which utilizes the second-order statistics of the Fourier decomposition, and the median filter which is based on the theory of order statistion, are normally used to denoise degraded images. Wavelet-based methods are powerful tools f...

In this paper, we propose a hybrid video coder using the wavelet packet transform and motion compensation. To reduce the computational complexity of the wavelet packet decomposition, a novel criterion based on the rate-distortion function is proposed. After the wavelet packet transform, the successive quantization scheme and the adaptive arithmetic coder are applied for lossy wavelet coe cient ...