Dyadic factorization of all pass IIR linear time varying analysis banks in multirate signal processing

We consider a factorization scheme for linear time varying (LTV) IIR all pass systems to be used specifically in the analysis bank of multirate subband coders. The factorization scheme is based on a certain base dyadic structure. Such LTV analysis banks are required to be square systems. It is known that linear time invariant (LTI) square all pass systems admit such dyadic factorizations and that a limited class of FIR LTV all pass square systems have a specialized dyadic factorization. We extend these results to all pass IIR LTV square systems that have uniformly completely observable and uniformly completely controllable realizations