Group-Theoretic Structure of Linear Phase Multirate Filter Banks
Group-Theoretic Structure of Linear Phase Multirate Filter Banks
Unique lifting factorization results for group lifting structures are used to characterize the group-theoretic structure of two-channel linear phase FIR perfect reconstruction filter bank groups. For <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex Notation="TeX">${\cal {D}}$</tex></formula> -invariant, order-increasing group lifting structures, it is shown that the associated lifting cascade group <formula formulatype="inline" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> …