Reversible Transforms for One-Dimensional Data Processing

P017 Reversible Transforms for One-Dimensional Data Processing W.A. Burnett* (The University of Texas at Austin) & R.J. Ferguson (The University of Texas at Austin) SUMMARY An alternative approach to interpolation based data processing methods is presented here. Any processing step that can be viewed as nonstationary shift can be applied as an integral transform under the theory of nonstationary filtering (Margrave 1998). Using the advantages of nonstationary filtering theory in the mixed-domain the general form of forward and inverse integral transforms is developed for onedimensional processing steps. This type of transform is exactly reversible and can be implemented with matrix-vector