On the completeness of the lattice factorization for linear-phase perfect reconstruction filter banks
Lu Gan, Kai‐Kuang Ma, Truong Q. Nguyen, Trac Duy Tran, Ricardo Lopes de Queiroz · IEEE Signal Processing Letters · 2002
In this letter, we re-examine the completeness of the lattice factorization for M-channel linear-phase perfect reconstruction filter bank (LPPRFB) with filters of the same length L=KM as discussed by Tran et al. (see IEEE Trans. Signal Processing, vol.48, p.133-47, Jan. 2000). We point out that the assertion of completeness is incorrect. Examples are presented to show that the proposed lattice structure of Tran et al. is not complete when K>2. In addition, we verify that the lattice structure is complete only when K/spl les/2.