In this paper, a Neural Network (NN) approach for the recognition of the Arabic digits is presented. The two phases of training and testing in a Radial Basis Functions (RBF) type network is described. Biorthogonal Wavelets are constructed and used for analysis of generated subwords of the digits. This approach decomposes spoken Arabic digits based on the acoustical information contained within ...

Quasidefinite sesquilinear forms for Laurent polynomials in the complex plane and corresponding CMV biorthogonal Laurent polynomial families are studied. Bivariate linear functionals encompass large families of orthogonalities like Sobolev and discrete Sobolev types. Two possible Christoffel transformations of these linear functionals are discussed. Either the linear functionals are multiplied ...

We consider a finite element method based on biorthogonal or quasi-biorthogonal systems for the biharmonic problem. The method is based on the primal mixed finite element method due to Ciarlet and Raviart for the biharmonic equation. Using different finite element spaces for the stream function and vorticity, this approach leads to a formulation only based on the stream function. We prove optim...

In the present work we analyze the performance of orthogonal and Biorthogonal wavelet filters for image compression on variety of test images. The test images are of different size and resolution. The compression performance is measured, objectively peak signal to noise ratio and subjectively visual quality of image and it is found that Biorthogonal wavelets outperform the orthogonal ones in bo...

We compute the correlation functions mixing the powers of two non-commuting random matrices within the same trace. The angular part of the integration was partially known in the literature [16, 17]: we pursue the calculation and carry out the eigenvalue integration reducing the problem to the construction of the associated biorthogonal polynomials. The generating function of these correlations ...

In paper we describe a successful applications of the wavelet transforms to still image compression. The wavelet transforms were designed by the usage of discrete interpolatory splines. These filters outperform the traditional biorthogonal 9/7 filters which are frequenty used in wavelet based compression. The new filters and the biorthogonal 9/7 are incorporated into SPIHT in order to measure a...

The Gabor expansion, which maps the time domain signal into the joint time and frequency domain, has long been recognized as a very useful tool in signal processing. Its applications, however, were limited due to the difficulties associated with selecting the Gabor coefficients. Because timeshifted and frequency-modulated elementary functions in general do not constitute an orthogonal basis, th...

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9/7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by scaling functions that are not necessarily dilates of one another. We consider a dual pair of such multiresolutions, where the scaling functi...