Generalized symmetric periodic extension for multiwavelet filter banks

Torsten Palfner; Erika Mueller

doi:10.1117/12.366777

26 October 1999 Generalized symmetric periodic extension for multiwavelet filter banks

Torsten Palfner, Erika Mueller

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366777
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

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.

Citation Download Citation

Torsten Palfner and Erika Mueller "Generalized symmetric periodic extension for multiwavelet filter banks", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366777

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