Wavelet-based multiband dynamic range compression is developed to compensate for a common hearing impairment known as recruitment of loudness. The algorithm combines standard compression with intensity-level dependent gain calculation. Complexity and performance are similar to traditional techniques. Further, the methods established here can be applied to the more adaptive wavelet packets and l...

Top-down tree search algorithms with non-additive information cost comparisons as decision criteria have recently been proposed by Taswell for the selection of near-best bases in wavelet packet transforms. Advantages of top-down non-additive near-best bases include faster computation speed, smaller memory requirement, and extensibility to biorthogonal wavelets in addition to orthogonal wavelets...

This paper investigates the mathematical framework of multiresolution analysis based on irregularly spaced knots sequence. Our presentation is based on the construction of nested nonuniform spline multiresolution spaces. From these spaces, we present the construction of orthonormal scaling and wavelet basis functions on bounded intervals. For any arbitrary degree of the spline function, we prov...

Orthogonal frequency division multiplexing (OFDM) is a multi-carrier modulation (MCM) scheme where the sub carriers are orthogonal waves. The main advantages of OFDM are robustness against multi-path fading, frequency selective fading, narrowband interference, and efficient use of spectrum. Recently it is proved that MCM system optimization can be achieved by applying wavelet bases instead of c...

In this paper, a new image synthesis model based on the wavelet bases is proposed. In the proposed model, images are approximated from the sum of synthesis functions that are shifted to image edges. By applying the proposed model to sketch-based image coding, any iterative image recovery procedure is not required for image decoding. In the design of the synthesis functions, we define the synthe...

Global and local regularities of functions are analyzed in anisotropic function spaces, under the common framework supplied by hyperbolic wavelet bases. Local and directional regularity features are characterized by means of global quantities derived from the coefficients of hyperbolic wavelet decompositions. A multifractal analysis is introduced, that jointly accounts for scale invariance and ...

Abstract: The idea of summing pairs of so-called semi-wavelets has been found to be very useful for constructing piecewise linear wavelets over refinements of arbitrary triangulations. In this paper we demonstrate the versatility of the semi-wavelet approach by using it to construct bases for the piecewise linear wavelet spaces induced by uniform refinements of four-directional box-spline grids.

Abstract: Unlike traditional approaches to synthesis of wavelet bases the proposed method uses a priori information on the signal shape and noise correlation function to adapt the wavelet analysis for experimental conditions. This helps to minimize the effect of noise on the results of signal analysis and to enhance measurement reliability.

We present applications of variational – wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-MaxwellPoisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bas...

Numerical schemes taking advantage of the wavelet bases capabilities to compress both functions and operators are presented. Galerkin methods for the heat and Poisson equations in dimension two are developed and numerically tested. Then a pseudo-wavelet scheme, using collocation for the nonlinear term, is deened for the two-dimensional Navier-Stokes equations. Numerical tests prove its accuracy.