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Feature Extraction of a Non-Stationary Seismic-Acoustic Signal Using a High-Resolution Dyadic Spectrogram.

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  • 1Centro de Investigación en Ingeniería y Ciencias Aplicadas, Universidad Autónoma del Estado de Morelos, Campus Chamilpa, Ave. Universidad 1001, Col. Chamilpa, Cuernavaca CP 62209, Mexico.

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|July 14, 2023
PubMed
Summary
This summary is machine-generated.

Researchers developed the Te-gram, a novel tool for analyzing frequency components. It successfully isolated a 12 Hz band, outperforming conventional methods and revealing new insights into seismic signals.

Keywords:
T e transformT e -gramdyadic frequency spectrumscale–frequencyseismic–acoustic signal

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Area of Science:

  • Geophysics
  • Signal Processing
  • Wavelet Analysis

Background:

  • Conventional time-frequency analysis methods struggle to isolate specific frequency bands without distortion.
  • Existing techniques have limitations in accurately analyzing energy distribution within complex signals.
  • Identifying and isolating distinct frequency components is crucial for understanding seismic events and background noise.

Purpose of the Study:

  • To introduce and evaluate a novel mathematical tool, the Te-gram, for analyzing frequency components in seismic data.
  • To demonstrate the Te-gram's capability in isolating specific frequency bands, such as a 12 Hz band, that are inseparable using traditional methods.
  • To assess the Te-gram's effectiveness in attenuating cross-term energy and enhancing multi-sensitivity in the frequency domain.

Main Methods:

  • Utilized a novel mathematical tool, the Te-gram, for analyzing energy distribution in the scale-frequency plane.
  • Employed the Daubechies 45 wavelet function, known for its high attenuation (150 dB) in the rejection band.
  • Validated the Te-gram's performance using seismic signal data from the 19 September 2017 earthquake in Mexico, analyzing pre-, during-, and post-seismic activity.

Main Results:

  • Identified and successfully isolated a frequency band of approximately 12 Hz without distorting its constituent frequencies.
  • Demonstrated the Te-gram's superior performance in sensitivity and energy distribution analysis compared to conventional methods.
  • Revealed a distinct frequency band between 0.7 Hz and 1.75 Hz, identified as planet Earth noise, which remained inseparable by other techniques.

Conclusions:

  • The Te-gram is a powerful and effective tool for analyzing complex frequency distributions in seismic data.
  • This novel method surpasses existing techniques in isolating specific frequency bands and improving signal analysis.
  • The Te-gram offers significant advancements in multi-sensitivity and cross-term energy attenuation, providing valuable insights into seismic phenomena and Earth's natural noise.