Title :
Gain scaling for multirate filter banks
Author :
Brislawn, Christopher M.
Author_Institution :
Comput., Comput. & Stat. Sci. Div., Los Alamos Nat. Lab., Los Alamos, NM, USA
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.
Keywords :
channel bank filters; high-pass filters; image coding; low-pass filters; JPEG 2000 image coding standard; filter bank normalization; gain scaling; highpass Nyquist response; lifting factorizations; lowpass DC response; two-channel multirate filter banks; Arithmetic; Channel bank filters; Electronic mail; Filter bank; Finite impulse response filter; IEC standards; ISO standards; Image coding; Laboratories; Matrix decomposition;
Conference_Titel :
Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4244-5825-7
DOI :
10.1109/ACSSC.2009.5469853
