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[Time variant bispectral analysis based on adaptive recursive Fourier transformation].

M Helbig1, G Griessbach, H Witte

  • 1Institut für Biomed. Technik u. Informatik, Technische Universität Ilmenau, Deutschland. Marko.Helbig@tu-ilmenau.de

Biomedizinische Technik. Biomedical Engineering
|December 6, 2002
PubMed
Summary

Investigating quadratic phase couplings in non-stationary signals is crucial. This study introduces an adaptive Fourier transform for time-variant bispectral analysis, simplifying calculations for ongoing biomedical signals.

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Area of Science:

  • Signal Processing
  • Non-stationary Signal Analysis
  • Bispectral Analysis

Context:

  • Investigating quadratic phase couplings (QPC) in non-stationary signals necessitates time-variant bispectral analysis methods.
  • Traditional methods may lack efficiency or adaptability for real-time applications.

Purpose:

  • To present a novel approach for time-variant estimation of power spectrum and bispectrum.
  • To introduce an adaptively, recursively estimated Fourier transform (ADFT) for analyzing non-stationary signals.

Summary:

  • The proposed method utilizes an adaptively, recursively estimated Fourier transform (ADFT) for time-variant bispectral analysis.
  • Key advantages include reduced computational effort and the ability to calculate bispectra for specific frequency triples.
  • The recursive nature of ADFT makes it suitable for analyzing ongoing, real-time signals.

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Impact:

  • Facilitates more efficient and adaptable analysis of quadratic phase couplings in non-stationary signals.
  • Demonstrates practical application in analyzing both simulated and real biomedical signals.
  • Enables advanced signal analysis for time-variant spectral characteristics.