Burrus, C. Sidney2009-06-042009-06-041995Guo, Haitao. "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transforms." (1995) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13954">https://hdl.handle.net/1911/13954</a>.https://hdl.handle.net/1911/13954In this thesis, we generalize the classical discrete wavelet transform, and construct wavelet transforms that are shift-invariant, time-varying, undecimated, and signal dependent. The result is a set of powerful and efficient algorithms suitable for a wide variety of signal processing tasks, e.g., data compression, signal analysis, noise reduction, statistical estimation, and detection. These algorithms are comparable and often superior to traditional methods. In this sense, we put wavelets in action.122 p.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ElectronicsElectrical engineeringMathematicsComputer scienceThesisTHESIS E.E. 1995 GUO