Xinming Zhang Chaoying Zhou Jiaqi Liu Ke’an Liu 1 Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 2 Professor, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China 3, 4 Professor, Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Email: [email protected],[email protected] ABSTRACT: In this ...

We construct orthonormal wavelet bases of L 2 (IR 2) with compact support for dilation matrices of determinant 2. The key idea is to describe the set H 2 of all 2d scaling coeecients satisfying the orthogonality condition as an implicit function. This set includes the scaling coeecients for the induced 1d wavelets. We compute the tangent space of H 2 at H N , the scaling coeecients for the indu...

A low bit rate speech coder based on Gaussian adaptive wavelets is described. This speech coder ameliorates the problem of using two diierent mother wavelets to model voiced and unvoiced sounds as mentioned in. 1 In addition, it has been demonstrated in this paper, that Gaussian adaptive wavelets are better suited to model both voiced and unvoiced sounds as compared to Morlet and Daubechies' wa...

Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm.

We consider two types of Besov spaces on the closed snowflake, defined by traces and with the help of the homeomorphic map from the interval [0, 3]. We compare these spaces and characterize them in terms of Daubechies wavelets.

We consider two types of Besov spaces on the Koch curve, defined by traces and with the help of the snowflaked transform. We compare these spaces and give their characterization in terms of Daubechies wavelets.

The field of image processing deals with a major issue, i.e., the suppression of noise from the wanted images. The intention of this message is to highlight some of the unique properties of spline wavelets. In this paper image denoising is performed using simulated noise images with various characteristics with the help of semi-orthogonal spline wavelets in comparison with CDF 9/7 wavelets. B-s...

The properties of periodized Daubechies wavelets on 0; 1] are detailed and contrasted against their counterparts which form a basis for L 2 (R). Numerical examples illustrate the analytical estimates for convergence and demonstrate by comparison with Fourier spectral methods the superiority of wavelet projection methods for approximations. The analytical solution to inner products of periodized...

In this paper, Daubechies orthogonal wavelets are used to compress color spectra. Color spectra have many forms from sharp peaks to constant value. Compression is needed to save space in storing and bandwidth in transmission of spectra. The underlying idea of this paper is to nd suitable wavelets for compression. Quality of compression and reconstruction is measured with color diierence E from ...

We present a numerical algorithm for solving the Hamilton-Jacobi Bellman equation using a successive Galerkin-wavelet projection scheme. According to this scheme, the so-called Generalized-HamiltonJacobi-Bellman (GHJB) equation is solved iteratively starting from a stabilizing solution. As basis function for the Galerkin projections we consider the antiderivatives of the well-known Daubechies’ ...