Direct Design of Near Perfect Reconstruction Linear Phase Nonuniform Filter Banks with Rational Sampling Factors

A direct method of designing linear phase (LP) near perfect reconstruction (NPR) nonuniform filter banks (NUFBs) with rational sampling factors is presented. Conditions on the possible sampling factors of NUFBs are given. The band position relations and phase relations of the significant aliasing components are also analyzed. Based on these two relations, we derive a necessary condition on the elimination of significant aliasing distortion (ALD). Meanwhile LP property is met. Moreover, a set of relations of the filters are presented to minimize the ALD further. In our proposed method, the LP NUFBs with high stopband attenuation and low system delay can be easily designed without nonlinear optimization procedure

[1]  P. P. Vaidyanathan,et al.  New results and open problems on nonuniform filter-banks , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[2]  Truong Q. Nguyen,et al.  A simple design method for near-perfect-reconstruction nonuniform filter banks , 1997, IEEE Trans. Signal Process..

[3]  X.M. Xie,et al.  The theory and design of recombination nonuniform filter-banks with linear-phase analysis/synthesis filters , 2004, The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04..

[4]  Fabrizio Argenti,et al.  Design of pseudo-QMF banks with rational sampling factors using several prototype filters , 1998, IEEE Trans. Signal Process..

[5]  Robert Bregovic,et al.  Multirate Systems and Filter Banks , 2002 .

[6]  Shing-Chow Chan,et al.  Theory and design of a class of cosine-modulated non-uniform filter banks , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[7]  Masaaki Ikehara,et al.  Direct design of nonuniform filter banks , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  Jelena Kovacevic,et al.  Perfect reconstruction filter banks with rational sampling factors , 1993, IEEE Trans. Signal Process..