A Uni ed View on Filter Banks
نویسندگان
چکیده
An impressive variety of multirate lter banks evolved during the past twenty years. We present an algebraic approach that subsumes many concepts developed so far (e. g. multi lters, nonseparable multidimensional lter banks, cyclic lter banks, lter banks with values in nite elds, etc.). In our approach the signals and lters are viewed as elements of a group ring. We give necessary and su cient conditions for perfect reconstruction and derive complete parametrizations in terms of ladder (or lifting) structures.
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