Discrete-time wavelet transforms and their generalizations

Based on the continuous-time wavelet transforms, transforms for the expansion of discrete-time signals are derived. Biorthogonal discrete wavelet expansions are exactly implemented in critically sampled quadrature mirror filter banks. Scale-variant pseudowavelet transforms are defined as a natural generalization. Lattice parametrization of both finite- and infinite-response quadrature mirror filters leads to efficient implementations of orthogonal discrete wavelet transforms and allows for optimization techniques for the choice of basis