Design of perfect-reconstruction nonuniform recombination filter banks with flexible rational sampling factors

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 9, 2005, Pages 1965-1981

  Xie, X M ^a   Chan, S C ^a   Yuk, T I ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Cosine modulated filter banks (CSFBs); Dynamic recombination; FBs; Perfect reconstruction; Rational sampling factors

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTATIONAL COMPLEXITY; DISCRETE FOURIER TRANSFORMS; MODULATION; NATURAL FREQUENCIES; SIGNAL PROCESSING;

COSINE MODULATED FILTER BANKS (CSFBS); DYNAMIC RECOMBINATION; PERFECT RECONSTRUCTION NONUNIFORM RECOMBINATION FILTER BANKS; RATIONAL SAMPLING FACTORS;

DIGITAL FILTERS;

EID: 27144513545     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.852009     Document Type: Article

References (26)

1. P. P. Vaidyanathan, "Multirate digital filters, filter banks, polyphase network, and applications: A tutorial," Proc. IEEE, vol. 78, no. 1, pp. 56-93, Jan. 1990.
2. T. Blu, "An iterated rational filter bank for audio coding time-frequency and time-scale analysis," in Proc. IEEE Int. Symp. Signal Process., Jun. 1996, pp. 81-84.
3. R. V. Cox, "The design of uniformly and nonuniformly spaced pseudo-quadrature mirror filters," IEEE Trans. Acoust. Speech Signal Process., vol. ASSP-24, no. 5, pp. 1090-1096, Oct. 1986.
4. J. Kovacevic and M. Vetterli, "Perfect reconstruction filter bank with rational sampling factors," IEEE Trans. Signal Process., vol. 41, no. 6, pp. 2047-2066, Jun. 1993.
5. S. C. Chan, X. M. Xie, and T. I. Yuk, "Theory and design of a class of cosine-modulated nonuniform filter banks," in Proc. IEEE ICASSP'00, vol. 1, 2000, pp. 504-507.
6. X. M. Xie, S. C. Chan, and T. I. Yuk, "A class of biorthogonal nonuniform cosine-modulated filter banks with lower system delay," in Proc. IEEE ISCAS'01, vol. 2, 2001, pp. 25-28.
7. P. Q. Hoang and P. P. Vaidyanathan, "Nonuniform multirate filter banks: theory and design," in Proc. IEEE ISCAS'89, 1989, pp. 371-374.
8. S. Akkarakaran and P. P. Vaidyanathan, "New results and open problems on nonuniform filter banks," in Proc. IEEE ICASSP'99, vol. 3, 1999, pp. 1501-1504.
9. R. L. Queiroz, "Uniform filter banks with nonuniform bands: post-processing design," in Proc. IEEE ICASSP'98, vol. 3, 1998, pp. 12-15.
10. K. Nayebi, T. P. Barnwell III, and M. J. T. Smith, "Nonuniform filter banks: a reconstruction and design theory," IEEE Trans. Signal Process., vol. 41, no. 3, pp. 1114-1127, Mar. 1993.
11. J. Princen, "The design of nonuniform modulated filterbanks," IEEE Trans. Signal Process., vol. 43, no. 11, pp. 2550-2560, Nov. 1995.
12. R. D. Koilpillai and P. P. Vaidyanathan, "Cosine-modulated FIR filter banks satisfying perfect reconstruction," IEEE Trans. Signal Process., vol. 40, no. 4, pp. 770-783, Apr. 1992.
13. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
14. X. M. Xie and S. C. Chan, "On the application of modulation in designing perfect-reconstruction recombination nonuniform filter banks," in Proc. IEEE ICASSP (student paper forum), 2003.
15. R. D. Koilpillai, T. Q. Nguyen, and P. P. Vaidyanathan, "Some results in the theory of crosstalk-free transmultiplexers," IEEE Trans. Signal Process., vol. 39, no. 10, pp. 2174-2183, Oct. 1991,
16. F. Argenti, B. Brogelli, and E. Del Re, "Design of pseudo-QMF banks with rational sampling factors using several prototype filters" IEEE Trans. Signal Pmcess., vol. 46, no. 6, pp. 1709-1715, Jun. 1998.
17. X. M. Xie, S. C. Chan, and T. I. Yuk, "A class of perfect-reconstruction nonuniform cosine-modulated filter banks with dynamic recombination" in Proc. Eusipco'02, vol. 2, 2002, pp. 549-552.
18. T. W. Chen, L. Qiu, and E. W. Bai, "General multirate building structures with application to nonuniform filter banks" IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process.,., vol. 45, no. 8, pp. 948-958, Aug. 1998.
19. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
20. A. N. Akansu and R. A. Haddad, Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets. San Diego, CA: Academic, 2001.
21. N. J. Fliege, Multirate Digital Signal Processing: Multirate Systems, Filter Banks, Wavelets. Chichester, U.K.: Wiley, 1994.
22. H. S. Malvar, Signal Processing With Lapped Transforms. Boston, MA: Artech House, 1992.
23. J. Li, T. Q. Nguyen, and S. Tantaratana, "A simple design method for near-perfect reconstruction nonuniform filter banks," IEEE Trans. Signal Process., vol. 45, no. 8, pp. 2105-2109, Aug. 1997.
24. S. Wada, "Design of nonuniform division multirate FIR filter banks" IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 42, no. 2, pp. 115-121, Feb. 1995.
25. S. C. Chan and X. M. Xie, "Biorthogonal recombination nonuniform cosine-modulated filter banks and multiplierless realizations" in J. VLSI Signal Process., to be published.
26. P. N. Heller, T. Karp, and T. Q. Nguyen, "A general formulation of modulated filter banks," IEEE Trans. Signal Process., vol. 47, no. 4, pp. 986-1002, Apr. 1999.