Symmetry-preserving reversible integer-to-integer wavelet transforms

TitleSymmetry-preserving reversible integer-to-integer wavelet transforms
Publication TypeConference Paper
Year of Publication2002
AuthorsAdams, M. D., and R. Ward
Conference NameAcoustics, Speech, and Signal Processing, 2002. Proceedings. (ICASSP '02). IEEE International Conference on
PaginationIII-2509 - III-2512 vol.3
Keywordsarbitrary length signals, channel bank filters, constant per-lifting-step extension, ELASF base filter bank, even-length analysis/synthesis filter, filtering theory, linear phase filters, linear-phase filter bank, odd-length analysis/synthesis filter, reversible integer-to-integer wavelet transforms, rounding functions, signal coding, symmetric extension, symmetry-preserving wavelet transforms, wavelet transforms

Two lifting-based families of symmetry-preserving reversible integer-to-integer wavelet transforms are studied. The transforms from both of these families are shown to be compatible with symmetric extension, which permits the treatment of arbitrary length signals in a nonexpansive manner. Throughout this work, particularly close attention is paid to rounding functions, and the properties that they must possess in various instances. Symmetric extension is also shown to be equivalent to constant per-lifting-step extension in certain circumstances.


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