Skip to main content
  • Research Article
  • Open access
  • Published:

A Generalized Algorithm for Blind Channel Identification with Linear Redundant Precoders

Abstract

It is well known that redundant filter bank precoders can be used for blind identification as well as equalization of FIR channels. Several algorithms have been proposed in the literature exploiting trailing zeros in the transmitter. In this paper we propose a generalized algorithm of which the previous algorithms are special cases. By carefully choosing system parameters, we can jointly optimize the system performance and computational complexity. Both time domain and frequency domain approaches of channel identification algorithms are proposed. Simulation results show that the proposed algorithm outperforms the previous ones when the parameters are optimally chosen, especially in time-varying channel environments. A new concept of generalized signal richness for vector signals is introduced of which several properties are studied.

References

  1. Porat B, Friedlander B: Blind equalization of digital communication channels using high-order moments. IEEE Transactions on Signal Processing 1991,39(2):522-526. 10.1109/78.80846

    Article  Google Scholar 

  2. Tong L, Xu G, Kailath T: Blind identification and equalization based on second-order statistics: a time domain approach. IEEE Transactions on Information Theory 1994,40(2):340-349. 10.1109/18.312157

    Article  Google Scholar 

  3. Scaglione A, Giannakis GB, Barbarossa S: Redundant filter bank precoders and equalizers part II: blind channel estimation, synchronization, and direct equalization. IEEE Transactions on Signal Processing 1999,47(7):2007-2022. 10.1109/78.771048

    Article  Google Scholar 

  4. Manton JH, Neumann WD: Totally blind channel identification by exploiting guard intervals. Systems and Control Letters 2003,48(2):113-119. 10.1016/S0167-6911(02)00278-5

    Article  MathSciNet  Google Scholar 

  5. Pham DH, Manton JH: A subspace algorithm for guard interval based channel identification and source recovery requiring just two received blocks. Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '03), April 2003, Hong Kong 4: 317–320.

    Google Scholar 

  6. Su B, Vaidyanathan PP: A generalization of deterministic algorithm for blind channel identification with filter bank precoders. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '06), May 2006, Kos Island, Greece

    Google Scholar 

  7. Vaidyanathan PP: Multirate Systems and Filter Banks. Prentice-Hall, Englewood Cliffs, NJ, USA; 1993.

    MATH  Google Scholar 

  8. Lin Y-P, Phoong S-M: Perfect discrete multitone modulation with optimal transceivers. IEEE Transactions on Signal Processing 2000,48(6):1702-1711. 10.1109/78.845928

    Article  Google Scholar 

  9. Qiu W, Hua Y, Abed-Meraim K: A subspace method for the computation of the GCD of polynomials. Automatica 1997,33(4):741-743. 10.1016/S0005-1098(96)00244-0

    Article  MathSciNet  Google Scholar 

  10. Tong L, Xu G, Kailath T: A new approach to blind identification and equalization of multipath channels. Proceedings of the 25th Asilomar Conference on Signals, Systems, & Computers, November 1991, Pacific Grove, Calif, USA 2: 856–860.

    Google Scholar 

  11. Moulines E, Duhamel P, Cardoso J-F, Mayrargue S: Subspace methods for the blind identification of multichannel FIR filters. IEEE Transactions on Signal Processing 1995,43(2):516-525. 10.1109/78.348133

    Article  Google Scholar 

  12. Vaidyanathan PP, Vrcelj B: A frequency domain approach for blind identification with filter bank precoders. Proceedings of IEEE International Symposium on Circuits and Systems (ISCAS '04), May 2004, Vancouver, BC, Canada 3: 349–352.

    Google Scholar 

  13. Li Y, Ding Z: Blind channel identification based on second order cyclostationary statistics. Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '93), April 1993, Minneapolis, Minn, USA 4: 81–84.

    Google Scholar 

  14. Su B, Vaidyanathan PP: Generalized signal richness preservation problem and Vandermonde-form preserving matrices. to appear in IEEE Transactions on Signal Processing

  15. Golub GH, Van Loan CF: Matrix Computations. 3rd edition. Johns Hopkins University Press, Baltimore, MD, USA; 1996.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Borching Su.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Su, B., Vaidyanathan, P.P. A Generalized Algorithm for Blind Channel Identification with Linear Redundant Precoders. EURASIP J. Adv. Signal Process. 2007, 025672 (2006). https://doi.org/10.1155/2007/25672

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/25672

Keywords