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Directional dual-tree complex wavelet packet transforms for processing quadrature signals

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Abstract

Quadrature signals containing in-phase and quadrature-phase components are used in many signal processing applications in every field of science and engineering. Specifically, Doppler ultrasound systems used to evaluate cardiovascular disorders noninvasively also result in quadrature format signals. In order to obtain directional blood flow information, the quadrature outputs have to be preprocessed using methods such as asymmetrical and symmetrical phasing filter techniques. These resultant directional signals can be employed in order to detect asymptomatic embolic signals caused by small emboli, which are indicators of a possible future stroke, in the cerebral circulation. Various transform-based methods such as Fourier and wavelet were frequently used in processing embolic signals. However, most of the times, the Fourier and discrete wavelet transforms are not appropriate for the analysis of embolic signals due to their non-stationary time–frequency behavior. Alternatively, discrete wavelet packet transform can perform an adaptive decomposition of the time–frequency axis. In this study, directional discrete wavelet packet transforms, which have the ability to map directional information while processing quadrature signals and have less computational complexity than the existing wavelet packet-based methods, are introduced. The performances of proposed methods are examined in detail by using single-frequency, synthetic narrow-band, and embolic quadrature signals.

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Authors and Affiliations

  1. Biomedical Engineering Department, Bahcesehir University, Besiktas, Istanbul, Turkey

    Gorkem Serbes

  2. Biomedical Engineering Institute, Bogazici University, Kandilli, Istanbul, Turkey

    Halil Ozcan Gulcur

  3. Computer Engineering Department, Faculty of Electrical and Electronics, Yildiz Technical University, Davutpasa, Esenler, 34220, Istanbul, Turkey

    Nizamettin Aydin

Authors
  1. Gorkem Serbes
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  2. Halil Ozcan Gulcur
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  3. Nizamettin Aydin
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Correspondence to Nizamettin Aydin.

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Serbes, G., Gulcur, H.O. & Aydin, N. Directional dual-tree complex wavelet packet transforms for processing quadrature signals. Med Biol Eng Comput 54, 295–313 (2016). https://doi.org/10.1007/s11517-014-1224-0

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  • DOI: https://doi.org/10.1007/s11517-014-1224-0

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