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Related Experiment Videos

Extracting instantaneous mean frequency information from Doppler signals using the Wigner distribution function

L Fan1, D H Evans

  • 1Division of Medical Physics, Faculty of Medicine, Leicester University, UK.

Ultrasound in Medicine & Biology
|January 1, 1994
PubMed
Summary

The Wigner distribution function (WDF) provides instantaneous frequency (IF) but struggles with multicomponent signals. A novel "pseudo-instantaneous mean frequency" method offers stable and accurate Doppler signal frequency tracking.

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Area of Science:

  • Signal Processing
  • Time-Frequency Analysis

Background:

  • The Wigner distribution function (WDF) enables instantaneous frequency (IF) extraction from non-stationary signals.
  • However, WDF-derived IF is prone to instability and spike artifacts for multicomponent signals, limiting its physical interpretability.
  • Existing methods face challenges in accurately tracking frequency variations in complex signal compositions.

Purpose of the Study:

  • To introduce and evaluate a "pseudo-instantaneous mean frequency" as a robust alternative for analyzing multicomponent signals.
  • To address the limitations of traditional WDF-based IF analysis, particularly spike problems and instability.
  • To provide a stable and accurate method for tracking frequency changes in Doppler signals.

Main Methods:

  • Utilizing the positive components of the Wigner distribution function (WDF).

Related Experiment Videos

  • Developing a "pseudo-instantaneous mean frequency" to track power distribution shifts among signal frequencies.
  • Conducting simulations to assess the performance and stability of the proposed method.

    • Main Results:

    • The proposed pseudo-instantaneous mean frequency method effectively mitigates spike problems inherent in traditional WDF IF analysis.
    • Simulation results demonstrate stable and relatively accurate tracking of frequency changes in multicomponent signals.
    • The method shows improved performance compared to standard WDF IF, even with high signal-to-noise ratios.

    Conclusions:

    • The pseudo-instantaneous mean frequency offers a simple, rapid, and stable approach for analyzing frequency variations in Doppler signals.
    • This method overcomes the interpretational ambiguities and instabilities associated with WDF for multicomponent signals.
    • Proper selection of sampling frequency is crucial for achieving optimal accuracy with this technique.