Lang, MarkusGuo, HaitaoOdegard, Jan E.Burrus, C. SidneyWells, R.O.2007-10-312007-10-311995-01-151995-01-15M. Lang, H. Guo, J. E. Odegard, C. S. Burrus and R. Wells, "Noise Reduction Using an Undecimated Discrete Wavelet Transform," 1995.https://hdl.handle.net/1911/20049Conference PaperA new nonlinear noise reduction method is presented that uses the discrete wavelet transform. Similar to Donoho and Johnstone, we employ thresholding in the wavelet transform domain but, following a suggestion by Coifman, we use an undecimated, shift-invariant, nonorthogonal wavelet transform instead of the usual orthogonal one. This new approach can be interpreted as a repeated application of the original Donoho and Johnstone method for different shifts. The main feature of the new algorithm is a significantly improved noise reduction compared to the original wavelet based approach, both the <i>l₂</i> error and visually, for a large class of signals. This is shown both theoretically as well as by experimental results.engTemporaryWavelet based Signal/Image ProcessingConference paperTemporary