Hybrid Wavelet-Based Algorithms with Fast Reconstruction Features
Ileana-Diana Nicolae, Petre-Marian Nicolae, Marian-Ştefan Nicolae · 2012
Abstract — The paper is concerned with various algorithms used for the analysis based on the Discrete Wavelet Transform (DWT) of (non)stationary regimes involving almost sinusoidal waves and for data communication applications respectively. Different techniques are employed to perform analysis based on (de)compositions using two different trees: an unbalanced 10 level tree and a 6 level binary tree respectively. Our hybrid algorithms (for filters of length 4 and 6) are described and discussed. Their usability is demonstrated both for high and low power applications, a significant advantage being related to their fast “exact reconstruction ” property. Considering the results and other important criteria (run time, memory consumptions), practical recommendations are made with respect to the selection of a proper reliable and fast DWT algorithm depending on the real applicability scenario. Keywords-discrete wavelet transform; hybrid algorithms; signals reconstruction; digital transmissions. I.