In the presentation, I first compare the construction of orthonormal bases of wavelets from a multiresolution in the stationary and the non stationary case. Then, I expose some generalizations of characterizations of orthonormal bases of wavelets in the non stationary case. Finally, I speak about the non stationary case for the continuous wavelet transform
Wavelet packets provide an algorithm with many applications in signal processing together with a lar...
AbstractA multiresolution analysis was defined by Gabardo and Nashed for which the translation set i...
We build orthonormal and biorthogonal wavelet bases of L2(R2) with dilation matrices of determinant ...
The characterization of orthonormal bases of wavelets by means of convergent series involving only ...
Orthonormal bases of wavelets and wavelet packets yield linear, non-redundant time-scale and time-fr...
There exist a lot of continuous nowhere differentiable functions, but these functions do not have th...
We adapt ideas presented by Auscher to impose boundary conditions on the construction of multiresolu...
AbstractWe discuss several constructions of orthonormal wavelet bases on the interval, and we introd...
We first show that by combining monodimensional filter banks one can obtain nonseparable filter bank...
The multiresolution analysis is applied into the space of square integrable Wiener functionals for e...
AbstractThis article introduces families of nonadaptive directional wavelets. Unlike curvelets and c...
AbstractUsing the theory of basis generators we study various properties of multivariate Riesz and o...
AbstractConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable o...
peer reviewedConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suita...
AbstractAdapting the recently developed randomized dyadic structures, we introduce the notion of spl...
Wavelet packets provide an algorithm with many applications in signal processing together with a lar...
AbstractA multiresolution analysis was defined by Gabardo and Nashed for which the translation set i...
We build orthonormal and biorthogonal wavelet bases of L2(R2) with dilation matrices of determinant ...
The characterization of orthonormal bases of wavelets by means of convergent series involving only ...
Orthonormal bases of wavelets and wavelet packets yield linear, non-redundant time-scale and time-fr...
There exist a lot of continuous nowhere differentiable functions, but these functions do not have th...
We adapt ideas presented by Auscher to impose boundary conditions on the construction of multiresolu...
AbstractWe discuss several constructions of orthonormal wavelet bases on the interval, and we introd...
We first show that by combining monodimensional filter banks one can obtain nonseparable filter bank...
The multiresolution analysis is applied into the space of square integrable Wiener functionals for e...
AbstractThis article introduces families of nonadaptive directional wavelets. Unlike curvelets and c...
AbstractUsing the theory of basis generators we study various properties of multivariate Riesz and o...
AbstractConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable o...
peer reviewedConditions characterizing all orthonormal wavelets of L2(R) are given in terms of suita...
AbstractAdapting the recently developed randomized dyadic structures, we introduce the notion of spl...
Wavelet packets provide an algorithm with many applications in signal processing together with a lar...
AbstractA multiresolution analysis was defined by Gabardo and Nashed for which the translation set i...
We build orthonormal and biorthogonal wavelet bases of L2(R2) with dilation matrices of determinant ...