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

  • Gorkem Serbes
  • Halil Ozcan Gulcur
  • Nizamettin AydinEmail author
Special Issue – Original Article

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.

Keywords

Quadrature signal Complex wavelet packet transform Embolic signals Ultrasound 

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Copyright information

© International Federation for Medical and Biological Engineering 2014

Authors and Affiliations

  • Gorkem Serbes
    • 1
  • Halil Ozcan Gulcur
    • 2
  • Nizamettin Aydin
    • 3
    Email author
  1. 1.Biomedical Engineering DepartmentBahcesehir UniversityBesiktas, IstanbulTurkey
  2. 2.Biomedical Engineering InstituteBogazici UniversityKandilli, IstanbulTurkey
  3. 3.Computer Engineering Department, Faculty of Electrical and ElectronicsYildiz Technical UniversityIstanbulTurkey

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