On the Completeness of the Lattice Factorization for Linear-Phase Perfect Reconstruction Filter Banks

Abstract—In this letter, we re-examine the completeness of the lattice factorization for-channel linear-phase perfect reconstruction filter bank (LPPRFB) with filters of the same length = in [1]. We point out that the assertion of completeness in [1] is incorrect. Examples are presented to show that the proposed lattice structure in [1] is not complete when 2. In addition, we verify that the lattice structure in [1] is complete only when 2. Index Terms—Completeness, lattice factorization, linear-phase perfect reconstruction filter bank. I