In this paper, the symmetric periodic extension method is generalized for multiwavelet filter banks. It is described how the sequences should be extended for any symmetry type of multifilter of size two and the corresponding pre- /postfilter and how the filtered sequence should be downsampled. The present paper shows that there are restrictions for any symmetry type of multifilter relating to the size of the sequence and the type of pre-/postfilter. Examples are given. The symmetric periodic extension method is compared with the periodic extension method and the effects on the transformed sequence are discussed.

Date Published: 26 October 1999
PDF: 12 pages
Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366777

Published in SPIE Proceedings Vol. 3813:
Wavelet Applications in Signal and Image Processing VII
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)