The theory of group lifting structures is applied to linear phase liftingfactorizations for the two nontrivial classes of two-channel linear phaseperfect reconstruction filter banks, the whole- and half-sample symmetricclasses. Group lifting structures defined for the reversible and irreversibleclasses of whole- and half-sample symmetric filter banks are shown to satisfythe hypotheses of the uniqueness theorem for group lifting structures. Itfollows that linear phase group lifting factorizations of whole- andhalf-sample symmetric filter banks are therefore independent of thefactorization methods used to construct them. These results cover thespecification of whole-sample symmetric filter banks in the ISO/IEC JPEG 2000image coding standard.
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