A smooth extension for the nonexpansive orthogonal wavelet decomposition of finite length signals

Toshiyuki Uto, Masaaki Ikehara

Research output: Contribution to journalConference article


In transform-based image coding, the periodic extension has the disadvantage that it might introduce high frequency components due to the artificial discontinuities at the signal boundaries. On the other hand, the symmetric extension can't be applied to the two-channel orthogonal filter bank because linear phase is not possible. This paper describes a smooth extension method, which provides the symmetric decimated outputs of the analysis filters at the boundary, for the two-channel orthogonal filter bank to obtain nonexpansive subband signals. In our approach, extended signal has the flexibility and we calculate the smooth one by singular value decomposition. Finally, several image coding and extended signal examples are shown to confirm the validity of the proposed approach.

Original languageEnglish
Pages (from-to)625-628
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publication statusPublished - 2003 Sep 25
Event2003 IEEE International Conference on Accoustics, Speech, and Signal Processing - Hong Kong, Hong Kong
Duration: 2003 Apr 62003 Apr 10


ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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