On Some Limits of Lattice and Lifting Structures

نویسنده

  • Andreas Klappenecker
چکیده

We discuss the relation between lattice and ladder structures for two-channel lter banks. It is wellknown that both lattice and ladder steps are powerful enough to generate all perfect reconstructing lter banks provided that the lter coe cients may take arbitrary values in a eld. However, we will show that the two concept di er in general. We relate the two concepts by looking at three properties of the coe cient ring. We discuss a number of incompleteness results of these parametrizations and point out some connections to open problems in group theory.

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تاریخ انتشار 2007