Theory and lattice factorization of oversampled linear-phase perfect reconstruction filter banks

This paper presents the theory and structure of a large family of oversampled linear-phase perfect reconstruction filter banks (OLPPRFBs). For such filter banks, we first derive the necessary existence conditions on the number of symmetric filters and antisymmetric filters. We then develop lattice factorizations of these OLPPRFBs, followed by two design examples to confirm the validity of the theory.