Mirroring Properties of Sub-band Adaptive Beamforming Arrays using Quadrature Mirror Filter Banks

  • Sathish Chandran
Part of the Signals and communication technology book series (SCT)


The concept of the sub-band adaptive beamforming arrays (ABA) is derived from the conventional fullband adaptive antenna arrays. Instead of doing the beamforming for the entire frequency band as in the full band ABA, only one sub-band of the frequency band is subjected to the same in here. The sub-banding of the full frequency band is done here by a quadrature mirror filter (QMF) bank. In a previous attempt, an approximate method has been proposed to reproduce the higher sub-band output from the lower sub-band output [1]. However, the higher sub-band has higher centre frequency, which demands higher Nyquist bandwidth. This will increase the operational complexity of the sub-band ABA. Recently it has been shown that the QMF sub-band adaptive beamforming can be performed by optimising the higher sub-band output and then, multiplying the signal output with a transforming factor that generates the lower sub-band output [2]. The lower frequency band requires only lower Nyquist bandwidth. It is believed that this will reduce the hardware complexity, the cost and the workload of the earlier version of the QMF sub-band ABA system [1]. In this work, a hardware implementation and its characteristics of such a sub-band ABA to generate the combined output from the higher sub-band is investigated.


Mean Square Error Wideband Signal Quadrature Mirror Filter Lower Subband Entire Frequency Band 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. Chandran, “A novel hardware configuration for an adaptive beamforming array using quadrature mirror filter banks” Microwave and Optical Technology Letters, 21, 2, pp. 140–145, April 1999CrossRefGoogle Scholar
  2. 2.
    S. Chandran, “A novel scheme for a sub-band adaptive beamforming array implementation using quadrature mirror filter banks”, IEE Electronics Letters, 39,12, pp. 891–892, June 2003Google Scholar
  3. 3.
    S. Chandran and M. K. Ibrahim,“Multirate sub-band adaptive beamforming using different kernel QMF banks”, International Journal of Electronics, 83, 1, pp. 119–132, 1997CrossRefGoogle Scholar
  4. 4.
    S. Chandran and M. K. Ibrahim, “Adaptive beamforming techniques using QMF”, IEE Proc. Int. Conf. On Antennas and Propagation, Vol.1, pp. 257–260, Eindhoven, April 1995Google Scholar
  5. 5.
    L. Timmoneri, I. K. Proudler, A. Farina and J. W. McWhirter, “QRD-based MVDR algorithm for multipulse antenna array signal processing”, IEE Proc. Radar, Sonar, Navig., 141, pp. 93–102, 1994CrossRefGoogle Scholar
  6. 6.
    P. P. Vaidyanathan, Multirate Systems and Filter Banks, 1992, NJ: Prentice-Hall, Englewood CliffsGoogle Scholar
  7. 7.
    V. K. Jain, V. K. and R. E. Crochiere,“Quadrature mirror filter design in the time domain”, IEEE Trans ASSP., 32, pp. 353–361, 1984Google Scholar
  8. 8.
    S. Haykin, Adaptive Filter Theory. 1991, NJ: Prentice-Hall, Englewood CliffsGoogle Scholar
  9. 9.
    G. H. Golub and C. F. Van Loan, Matrix Computations, 1983, Baltimore, MD: John Hopkins University PressMATHGoogle Scholar
  10. 10.
    C. R. Ward, R J. Hargrave and J. G. McWhirter, “A novel algorithm and architecture for adaptive digital beamforming,” IEEE Trans. Antennas Propagat., 34, pp. 338–346, 1986CrossRefGoogle Scholar
  11. 11.
    J. D. Johnston, “A filter family designed for use in quadrature mirror filter banks’, in Proc. 1990 ICASSP, pp. 291–294, April 1990Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sathish Chandran
    • 1
  1. 1.RF ConsultantsBatu Caves, SelangorMalaysia

Personalised recommendations