We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of general coherent states associated to square integrable group representations. The parameter space X of our CWT is the product of SO(3) for motions and R+∗ for dilations on S2, which are embedded into the Lorentz group SO0(3,1) via the Iwasawa decomposition...

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 ...

In this short note we discuss the interplay between finite Coxeter groups and construction of wavelet sets, generalized multiresolution analysis and sampling.

This paper deals with the application of the wavelet transform to hierarchical texture analysis. The main goal is the design of texture-matched FIR-filterbanks as the dyadic (2-channel) orthogonal and the M-channel biorthogonal wavelet filterbanks. The new approach represents a generalization of the already known purely mathematically-oriented design methods for multirate and wavelet filterbank...

In this paper de-noising techniques are investigated in connection with secure wideband chaotic communication systems. An alternate version of the recently proposed Ueda chaotic communication system based on the initial condition modulation (ICM) of the chaotic carrier by the binary message to be transmitted is proposed and evaluated in the presence of noise, demonstrating a significant improve...

This paper offers a new regard on compactly supported wavelets derived from FIR filters. Although being continuous wavelets, analytical formulation are lacking for such wavelets. Close approximations for daublets (Daubechies wavelets) and their spectra are introduced here. The frequency detection properties of daublets are investigated through scalograms derived from these new analytical expres...