Branch-hopped wavelet packet division multiplexing

Central Publication

• Timothy N. Davidson, Zhi-Quan (Tom) Luo and K. Max Wong.
  Branch hopping schemes for wavelet packet division multiplexing.
  Manuscript. Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada. February 2000.

Abstract

• Wavelet Packet Division Multiplexing (WPDM) is a flexible, spectrally-efficient orthogonal multiplexing scheme in which wavelet packet basis functions are chosen as the coding waveforms. However, like other spectrally-efficient orthogonal multiplexing schemes, WPDM is susceptible to fading. Inspired by the robustness and security of frequency-hopped communication schemes, a `Branch-Hopped' WPDM scheme is introduced. This BH-WPDM scheme exploits an efficient modular switched transmultiplexer structure, and retains the spectral efficiency and a number of the desirable implementation features of WPDM. The effects of the switching strategies on the characteristics of the BH-WPDM scheme are analyzed and classes of `slow' and `fast' hopping schemes, which are analogous to their frequency-hopped counterparts, are determined. We construct several switching strategies which provide reliable performance, in a worst case mean square error sense, in frequency-selective and time-selective fading channels. We then provide a design algorithm for the transmultiplexer filters which optimizes the worst case performance. Finally, we demonstrate that such an optimized BH-WPDM scheme can provide greater mitigation of the effects of fading than other common spectrally-efficient orthogonal multiplexing schemes, such as time division (TDM), orthogonal frequency division (OFDM), and orthogonal code division multiplexing.

Additional References

• Earlier versions of this work appeared as:

  • T. N. Davidson, A.-J. Schott and K. M. Wong.
    Brach-hopped wavelet packet division multiplexing.
    In Proceedings of the 1998 International Conference on Acoustics, Speech, and Signal Processing,
    pages 3233-3236, Seattle, WA, USA, May 1998.
    (pdf file)

  • T. N. Davidson, Z.-Q. Luo and A.-J. Schott.
    Design of branch-hopped wavelet packet division multiplexing schemes.
    In Proceedings of the 1998 Symposium on Image, Speech, Signal Processing and Robotics,
    volume II, pages 97-102, Hong Kong, Sep. 1998.
    (pdf file)

• The original exposition of the WPDM scheme is here.

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