Gain scaling for multirate filter banks

Authors:
Christopher M. Brislawn
Affiliations:
Computer, Computational & Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, NM
Venue:
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Year:
2009

Citing 3
Cited 0

JPEG 2000: Image Compression Fundamentals, Standards and Practice

JPEG 2000: Image Compression Fundamentals, Standards and Practice
Gain normalization of lifted filter banks

Signal Processing
The polyphase-with-advance representation and linear phase lifting factorizations

IEEE Transactions on Signal Processing - Part I

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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.