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A trend extraction method based on logistic functions and envelopes.

Jingjing Zhang1, Jinglin Luo2, Xuan Zhang3

  • 1School of Mechatronic Engineering and Automation, Foshan University, Foshan, 528225, China.

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|January 12, 2022
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Summary
This summary is machine-generated.

A new method using logistic functions and envelopes (LFEs) accurately extracts step trends. This approach enhances accuracy and reduces computation time for signal analysis and industrial applications.

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Area of Science:

  • Signal Processing
  • Data Analysis

Background:

  • Accurate trend extraction is crucial for analyzing signals with step characteristics.
  • Existing methods may lack precision or require extensive prior knowledge.

Purpose of the Study:

  • To propose a novel method for step characteristic trend extraction using logistic functions and envelopes (LFEs).
  • To enhance accuracy and reduce computation time compared to existing techniques.

Main Methods:

  • Utilizing a logistic function to determine the starting position of step trends.
  • Employing upper and lower envelopes for local trend extraction.
  • Comparing the LFE method with triple smoothing, wavelet transform, and empirical mode decomposition.

Main Results:

  • The LFE method demonstrated reliable and accurate extraction of step trends from simulated and real shock signals.
  • The proposed technique showed improved accuracy and reduced computation time.
  • Less prior knowledge was required for effective trend extraction.

Conclusions:

  • The LFE method offers a robust and efficient solution for step characteristic trend extraction.
  • The technique is well-suited for industrial online applications requiring precise signal analysis.