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On the completeness of the lattice factorization for linear-phase perfect reconstruction filter banks

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5 Author(s)
Lu Gan ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore ; Kai-Kuang Ma ; Nguyen, T.Q. ; Tran, T.D.
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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.

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Signal Processing Letters, IEEE  (Volume:9 ,  Issue: 4 )