Skip to main content
SpringerLink
Log in

M-Channel Nonuniform Filter Banks with Arbitrary Scaling Factors

  • Conference paper
Advances in Natural Computation (ICNC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4222))

Included in the following conference series:

  • 922 Accesses

Abstract

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.

Work supported by NSF of China (Grant No. 60372047) and NSF of Shaanxi Province, China (Grant No. 2005F18).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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. 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)

    Article  MATH  Google Scholar 

  3. Kovacevic, J., Vetterli, M.: Perfect reconstruction filter banks with rational sampling factors. IEEE Trans. Signal Processing 42, 2047–2066 (1993)

    Google Scholar 

  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)

    Article  Google Scholar 

  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. 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)

    Article  Google Scholar 

  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. 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. Ramstad, T.A.: Digital methods for conversion between arbitrary sampling frequencies. IEEE Trans. Acoust., Speech, Signal Process ASSP-32, 577–591 (1984)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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. 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. 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)

    Article  MathSciNet  Google Scholar 

  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. Crochiere, R.E., Rabiner, L.R.: Interpolation and decimation of digital signals-a tutorial review. IEEE Proceedings 69, 300–311 (1981)

    Article  Google Scholar 

  16. Vaidyanathan, P.P.: Multirate Systems and Filter Banks. Prentice-Hall, Englewood Cliffs (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronic Engineering, Xidian University, Xi’an, P.R. China

    Xuemei Xie, Liangjun Wang & Siqi Shi

Authors
  1. Xuemei Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liangjun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Siqi Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Life Science Research Center, School of Electronic Engineering, Xidian University, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  3. School of Electronic Engineering, Xidian Univ., P.O. Box, 710071, Xi’an, P.R. China

    Xinbo Gao

  4. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

  5. Multi-Agent Systems Lab,Department of Computer Science, University of Science and Technology of China, 230026, Hefei, China

    Feng Wu

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xie, X., Wang, L., Shi, S. (2006). M-Channel Nonuniform Filter Banks with Arbitrary Scaling Factors. In: Jiao, L., Wang, L., Gao, X., Liu, J., Wu, F. (eds) Advances in Natural Computation. ICNC 2006. Lecture Notes in Computer Science, vol 4222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881223_37

Download citation

  • DOI: https://doi.org/10.1007/11881223_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45907-1

  • Online ISBN: 978-3-540-45909-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation