Biomedical Imaging GroupSTI
English only   BIG > Publications > Iterated Filter Banks

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Iterated Filter Banks with Rational Rate Changes Connection with Discrete Wavelet Transforms

T. Blu

IEEE Transactions on Signal Processing, vol. 41, no. 12, pp. 3232-3244, December 1993.

Some properties of two-band filter banks with rational rate changes ("rational filter banks") are first reviewed. Focusing then on iterated rational filter banks, compactly supported limit functions are obtained, in the same manner as previously done for dyadic schemes, allowing a characterization of such filter banks. These functions are carefully studied and the properties they share with the dyadic case are highlighted. They are experimentally observed to verify a "shift property" (strictly verified in the dyadic ease) up to an error which can be made arbitrarily small when their regularity increases. In this case, the high-pass outputs of an iterated filter bank can be very close to samples of a discrete wavelet transform with the same rational dilation factor. Straightforward extension of the formalism of multiresolution analysis is also made. Finally, it is shown that if one is ready to put up with the loss of the shift property, rational iterated filter banks can be used in the same manner as if they were dyadic filter banks, with the advantage that rational dilation factors can be chosen closer to 1.

AUTHOR="Blu, T.",
TITLE="Iterated Filter Banks with Rational Rate Changes Connection
        with Discrete Wavelet Transforms",
JOURNAL="{IEEE} Transactions on Signal Processing",

© 1993 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.