M-Channel Nonuniform Filter Banks with Arbitrary Scaling Factors

  • Xuemei Xie
  • Liangjun Wang
  • Siqi Shi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4222)


In conventional filter banks, the sampling factors are restricted to rational numbers and frequency partition is always rather inflexible, stemming from the fact that certain constraint on each subband position is always placed. In this paper, we present a class of M-channel nonuniform filter banks with arbitrary sampling factors including integer, rational, and even irrational numbers. Consequently, the frequency partitioning in the proposed filter bank is much more flexible, which is very attractive in many applications.


Filter Bank Irrational Number Sampling Factor Synthesis Part Decimation Factor 


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  1. 1.
    Hoang, P.Q., Vaidyanathan, P.P.: Non-uniform multirate filter banks: Theory and design. In: Proc. Int. Symp. Circuits Syst., pp. 371–374 (1989)Google Scholar
  2. 2.
    Nayebi, K., Barnwell, T.P., Smith, M.J.T.: Nonuniform filter banks: A reconstruction and design theory. IEEE Trans. Signal Processing 41, 1114–1127 (1993)MATHCrossRefGoogle Scholar
  3. 3.
    Kovacevic, J., Vetterli, M.: Perfect reconstruction filter banks with rational sampling factors. IEEE Trans. Signal Processing 42, 2047–2066 (1993)Google Scholar
  4. 4.
    Li, J., Nguyen, T.Q., Tantaratana, S.: A simple design method for near-perfect-reconstruction nonuniform filter banks. IEEE Trans. Signal Processing 45, 2105–2109 (1997)CrossRefGoogle Scholar
  5. 5.
    Liu, B., Bruton, L.T.: The design of N-band nonuniform-band maximally decimated filter banks. In: Proc. Asilomar Conf., pp. 1281–1285 (1993)Google Scholar
  6. 6.
    Xie, X.M., Shan, S.C., Yuk, T.I.: On the design of a class of PR nonuniform cosine modulated filter banks with flexible rational sampling. IEICE trans. Circuits and Systems 1 52, 1965–1981 (2005)CrossRefGoogle Scholar
  7. 7.
    Xie, X.M., Chan, S.C., Yuk, T.I.: A design of recombination nonuniform filter banks with linear-phase analysis and synthesis filters. IEEE Trans. Signal Processing (2006) (accepted for publication)Google Scholar
  8. 8.
    Adams, J.W., Bayma, R.W., Nelson, J.E.: Digital filter design for generalized interpolation. In: Proc. IEEE Int. Symp. Circuits Syst., vol. 2, pp. 1299–1302 (1989)Google Scholar
  9. 9.
    Ramstad, T.A.: Digital methods for conversion between arbitrary sampling frequencies. IEEE Trans. Acoust., Speech, Signal Process ASSP-32, 577–591 (1984)CrossRefGoogle Scholar
  10. 10.
    Ramstad, T.A.: Digital two-rate IIR and hybrid IIR/FIR filters for sampling rate conversion. IEEE Trans. Commun. COM-30, 1466–1476 (1982)CrossRefGoogle Scholar
  11. 11.
    Pei, S.C., Kao, M.P.: A two-channel nonuniform perfect reconstruction filter bank with irrational down-sampling factors. IEEE Signal Processing Letters 12 (2005)Google Scholar
  12. 12.
    Zhao, W., Rao, R.M.: Continuous-dilation discrete-time self-similar signals and linear scale-invariant systems. In: Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., vol. 3, pp. 1549–1552 (1998)Google Scholar
  13. 13.
    Lee, S., Zhao, W., Narasimha, R., Rao, R.M.: Discrete-time models for statistically self-similar signals. IEEE Trans. Signal Process. 51, 1221–1230 (2003)CrossRefMathSciNetGoogle Scholar
  14. 14.
    Zhao, W., Rao, R.M.: Discrete-time continuous-dilation wavelet transforms. In: Proc. IEEE-SP Int. Symp. Time-Frequency Time-Scale Anal., pp. 233–236 (1998)Google Scholar
  15. 15.
    Crochiere, R.E., Rabiner, L.R.: Interpolation and decimation of digital signals-a tutorial review. IEEE Proceedings 69, 300–311 (1981)CrossRefGoogle Scholar
  16. 16.
    Vaidyanathan, P.P.: Multirate Systems and Filter Banks. Prentice-Hall, Englewood Cliffs (1992)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Xuemei Xie
    • 1
  • Liangjun Wang
    • 1
  • Siqi Shi
    • 1
  1. 1.School of Electronic EngineeringXidian UniversityXi’anP.R. China

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