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Nonlinear Wavelet Methods for Recovery of Signals Densities and Spectra From Indirect and Noisy Data


Author(s) : David L. Donoho, 
Publisher : N/A
Publication Date : 1993
ISSN : N/A
Abstract : Abstract. We describe wavelet methods for recovery of objects from noisy and incomplete data. The common themes: (a) the new methods utilize nonlinear operations in the wavelet domain; (b) they accomplish tasks which are not possible by traditional linear/Fourier approaches to such problems. We attempt to indicate the heuristic principles, theoretical foundations, and possible application areas for these methods. Areas covered: (1) Wavelet De-Noising. (2) Wavelet Approaches to Linear Inverse Problems. (4) Wavelet Packet De-Noising. (5) Segmented MultiResolutions.,