A sequence of increasing translation invariant subspaces can be defined by the Haar-system (or generally by wavelets). The orthogonal projection to the subspaces generates a decomposition (multiresolution) of a signal. Regarding the rate of convergence and the number of operations, this kind of decomposition is much more favorable then the conventional Fourier expansion. In this paper, starting...

The tenacity of this paper is logical investigation of prevailing ANPR system research by cataloguing existing methods analyzing and equate old and new techniques. Automatic number plate recognition is a technique to read character from image and isolate number using various processes and practices. Automatic number plate credit is a image processing techniques. In this paper we used efficient ...

Let us briefly describe the setting in which we are working. D denotes the set of all dyadic intervals contained in the unit interval. π : D → D denotes a permutation of the dyadic intervals. The operator induced by π is determined by the equation TπhI = hπ(I) where hI denotes the L∞-normalised Haar function supported on the dyadic intervall I. The main result of this paper treats general permu...

The aim of the present paper is to investigate series representations of the Riemann–Liouville process R, α > 1/2, generated by classical orthonormal bases in L2[0,1]. Those bases are, for example, the trigonometric or the Haar system. We prove that the representation of R via the trigonometric system possesses the optimal convergence rate if and only if 1/2 < α ≤ 2. For the Haar system we have...

in this article,we present a wavelet method for solving stochastic volterra integral equations based on haar wavelets. first, we approximate all functions involved in the problem by haar wavelets then, by substituting the obtained approximations in the problem, using the it^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...

In recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. The following method is based on vector forms of Haar-wavelet functions. In this paper, we will introduce one dimensional Haar-wavelet functions and the Haar-wavelet operational matrices of the fractional order integration. Also the Haar-wavelet operational matrices of ...