An improved envelope algorithm for eliminating undershoots

  • Authors:
  • Lijun Yang;Zhihua Yang;Lihua Yang;Ping Zhang

  • Affiliations:
  • Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, China and College of Mathematics and Informa ...;Information Science School, Guangdong University of Business Studies, China;Guangdong Province Key Laboratory of Computational Science, School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou, 510275, China;Department of Mathematics and Computer Science, Alcorn State University, USA

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2013

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Abstract

According to the drawbacks of current envelope algorithms, we present an improved envelope algorithm based on cubic spline and monotone piecewise cubic polynomial interpolations. The new envelope can eliminate the undershoots and meanwhile keep the smoothness property. In addition, we show that the developed method is valid when it is applied to the Empirical Mode Decomposition for non-stationary signal processing.