Mt department Nazirova E. Sh

Orthogonal wavelet bases Our search for orthogonalwavelets begins with multiresolution approximations. For , the partial sum of wavelet coefficients can indeed be interpreted as the difference between two approximations of f at the resolutions and . Multiresolution approximations compute the approximation of signals at various resolutions with orthogonal projections on different spaces Section 1.3 proves that multiresolution approximations are entirely characterized by a particular discrete filter that governs the loss of information across resolutions. These discrete filters provide a simple procedure for designing and synthesizing orthogonal wavelet bases.