Lattice factorization and design of perfect reconstruction filter banks with any length yielding linear phase

This paper introduces the lattice factorizations and designs of a large class of critically sampled linear phase perfect reconstruction filter banks. We deal with FIR filter banks with real-valued coefficients in which all filters have the same arbitrary length and symmetry center. Refined existence conditions on the length are given first. Lattice structures are developed for both even and odd channel filter banks. Compared to most existing design methods, the proposed approach can offer better trade off between performance and filter length. Finally, several design and application examples are presented to validate our approach.