Gain scaling for multirate filter banks

Conference · Thu Jan 01 00:00:00 EST 2009

DOI:https://doi.org/10.1109/ACSSC.2009.5469853· OSTI ID:979675

Brislawn, Christopher M ^[1]

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1. Los Alamos National Laboratory

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 979675
• Report Number(s): LA-UR-09-07904; LA-UR-09-7904; TRN: US201011%%372
• Resource Relation: Conference: Asilomar Conf. on Signals, Systems, & Computers ; November 1, 2009 ; Pacific Grove, CA
• Country of Publication: United States
• Language: English

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97 MATHEMATICS AND COMPUTING
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