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Time delay estimation using wavelet transform for pulsed-wave ultrasound

X L Xu1, A H Tewfik, J F Greenleaf

  • 1Department of Physiology and Biophysics, Mayo Clinic and Foundation, Rochester, MN 55905, USA.

Annals of Biomedical Engineering
|September 1, 1995
PubMed
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A new wavelet transform-based cross-correlation (WTCC) method improves time delay estimation in pulsed-wave ultrasound. This technique offers more accurate and consistent measurements of tissue motion and blood flow velocity compared to existing methods.

Area of Science:

  • Ultrasound Imaging
  • Biomedical Signal Processing
  • Medical Physics

Background:

  • Pulsed-wave (PW) ultrasound utilizes windowed cross-correlation (WCC) for tissue motion and blood flow velocity estimation.
  • WCC estimates time delays of backscattered signals from consecutive echoes, offering advantages over Doppler methods.
  • Accurate time delay estimation is crucial for reliable ultrasound-based physiological measurements.

Purpose of the Study:

  • To introduce a novel wavelet transform-based cross-correlation (WTCC) technique for time delay estimation in PW ultrasound.
  • To evaluate the performance of WTCC in comparison to the conventional WCC method.
  • To assess the robustness and consistency of WTCC under various processing conditions.

Main Methods:

  • The proposed WTCC technique involves computing wavelet transforms of echoes, cross-correlations in the wavelet domain, and time delay estimation by maximizing correlations.

Related Experiment Videos

  • Both dyadic and continuous wavelets can be employed within the WTCC framework.
  • WTCC uniquely utilizes time-varying frequency windows, unlike the fixed windows of WCC.

    • Main Results:

    • Computer simulations demonstrated that WTCC yields superior time delay estimations compared to WCC, characterized by lower failure rates and reduced estimation errors.
    • The WTCC method exhibited more consistent performance across diverse conditions and greater robustness concerning window size.
    • Utilizing the emitted pulse as a continuous wavelet within WTCC further enhanced its performance over standard dyadic wavelets.

    Conclusions:

    • The wavelet transform-based cross-correlation (WTCC) technique represents a significant advancement for time delay estimation in PW ultrasound.
    • WTCC provides more accurate, consistent, and robust measurements of tissue motion and blood flow velocity.
    • The findings suggest WTCC is a promising alternative to conventional methods for quantitative ultrasound applications.