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Existence of optimal paraunitary finite impulse response filter banks for continuous objective functionals [JPEG-2000 image compression applications]

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2 Author(s)
Quirk, M.D. ; Decision Applications Div., Los Alamos Nat. Lab., NM, USA ; Brislawn, C.M.

The aim of this work is to study the existence and design of perfect reconstruction finite impulse response filter banks that are optimal under explicitly stated criteria. Most of the theoretical results on optimal paraunitary filter banks are developed without restriction on the filter orders. A theorem on the existence of optimal finite impulse response filter banks with respect to continuous objectives is given. This theorem guarantees the existence of optimal filter banks regardless of the bit rate and bit allocation strategy. An algorithm to find these optimal filter banks is given. This algorithm may be used in the design of optimal two-channel finite impulse response filter banks that may be embedded into JPEG-2000 standard for more efficient compression of multicomponent images.

Published in:

Digital Signal Processing Workshop, 2004 and the 3rd IEEE Signal Processing Education Workshop. 2004 IEEE 11th

Date of Conference:

1-4 Aug. 2004