Title :
On the completeness of the lattice factorization for linear-phase perfect reconstruction filter banks
Author :
Gan, Lu ; Ma, Kai-Kuang ; Nguyen, Truong Q. ; Tran, Trac D. ; De Queiroz, Ricardo L.
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore
fDate :
4/1/2002 12:00:00 AM
Abstract :
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.
Keywords :
channel bank filters; lattice filters; linear phase filters; matrix decomposition; M-channel filter bank; completeness; lattice factorization; linear-phase perfect reconstruction filter bank; Equations; Filter bank; Gallium nitride; Lattices; Matrices;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2002.1001651
