Gain scaling for multirate filter banks

Christopher M. Brislawn

Type: Preprint

Publication Date: 2009-01-01

Citations: 0

DOI: https://doi.org/10.1109/acssc.2009.5469853

Abstract

Eliminating two trivial degrees of freedom corresponding to the lowpass DC response and the highpass Nyquist response in a two-channel multirate filter bank seems simple enough. Nonetheless, the ISO/IEC JPEG 2000 image coding standard manages to make this mundane task look totally mysterious. We reveal the true meaning behind JPEG 2000's arcane specifications for filter bank normalization and point out how the seemingly trivial matter of gain scaling leads to highly nontrivial issues concerning uniqueness of lifting factorizations.

Locations

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Works Cited by This (4)

Action	Title	Year	Authors
+	Factoring wavelet transforms into lifting steps	2005	Ingrid Daubechies Wim Sweldens
+ PDF Chat	Group Lifting Structures for Multirate Filter Banks II: Linear Phase Filter Banks	2010	Christopher M. Brislawn
+ PDF Chat	Group Lifting Structures for Multirate Filter Banks I: Uniqueness of Lifting Factorizations	2010	Christopher M. Brislawn
+	Factoring wavelet transforms into lifting steps	1998	Ingrid Daubechies Wim Sweldens