M. Victor Wickerhauser

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Adapted waveform analysis uses a library of or-thonormal bases and an efficiency functional to match a basis to a given signal or family of signals. It permits efficient compression of a variety of signals such as sound and images. The predefined libraries of modulated waveforms include orthogonal wavelet-packets, and localized trigonometric functions, have(More)
To my parents Acknowledgments Let me begin by thanking my adviser Victor Wickerhauser for his encouragement and support over the past three years, and for his conndence in my ability to complete this dissertation. I owe special thanks to Guido Weiss for substituting as advisor while Victor Wickerhauser was on academic leave in the spring of 1998. I would(More)
— Compact Disc players have problems playing discs with surface defects such as scratches and finger prints. The problem is that handling normal disturbances such as mechanical shocks etc, require a high bandwidth of the controllers which keep the Optical PickUp focused and radial tracked on the information track on the disc. In order for the controllers to(More)
Noise reduction by constrained reconstructions in the wavelet-transform domain. Department of Mathematics, Dart-NONLINEAR WAVELET METHODS 203 Andrew Bruce and Carl Taswell for many discussions about wavelet software. The NMR datasets were provided by Chris Raphael (Figure 1) and Jee Hoch (Figure 11), the ESCA dataset by Jean-Paul Bib erian, the image(More)
Wavelet-based signal processing has become commonplace in the signal processing community over the past decade and wavelet-based software tools and integrated circuits are now commercially available. One of the most important applications of wavelets is in removal of noise from signals, called denoising, accomplished by thresholding wavelet coefficients in(More)