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Efficient wavelet ridge extraction method for asymptotic signal analysis.

Yu Dai1, Qiang Ma, Wenyan Tang

  • 1Department of Automatic Measurement and Control, Harbin Institute of Technology, Harbin 150001, People's Republic of China.

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Summary
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This study introduces an efficient wavelet ridge extraction method for estimating signal frequency and amplitude. The new approach significantly reduces computational load and achieves high accuracy in system identification tasks.

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Area of Science:

  • Signal Processing
  • Time-Frequency Analysis
  • Wavelet Transforms

Background:

  • Accurate estimation of instantaneous frequency and amplitude is crucial for analyzing asymptotic signals.
  • Conventional wavelet transform methods can be computationally intensive.

Purpose of the Study:

  • To propose an efficient wavelet ridge extraction method for improved signal analysis.
  • To reduce the computational complexity of continuous wavelet transform (CWT).
  • To enhance the reliability of ridge extraction in signal processing.

Main Methods:

  • Derivation of inequalities to determine optimal scale interval and sampling frequency for CWT.
  • Minimization of computational complexity by selecting optimal parameters.
  • Utilizing discontinuity points on the wavelet ridge for improved extraction.

Main Results:

  • The proposed method reduces computational load by approximately 1/6 compared to conventional methods.
  • Achieved a relative error below 0.08% in system identification tests with known moment of inertia.
  • Demonstrated efficient estimation of instantaneous frequency and amplitude.

Conclusions:

  • The proposed wavelet ridge extraction method offers significant computational efficiency.
  • The method provides reliable and accurate signal parameter estimation.
  • Optimal parameter selection enhances the performance of continuous wavelet transform.