A new optimized Stockwell transform applied on synthetic and real non-stationary signals

The aim of this paper is to improve the energy concentration of the Stockwell transform (S-transform) in the time-frequency domain. A modified S-transform is proposed with several parameters to control the width of a hybrid Gaussian window. A constrained optimization problem is proposed based on an energy concentration measure as objective function and inequalities constraints to define the bounds of the Gaussian window. An active-set algorithm is applied to resolve the optimization problem. The optimization of the energy concentration in the time-frequency plane can lead to more reliable applications for non-stationary signals. The simulation results show a significant improvement of the proposed methodology most notably in the presence of noise comparing with the standard S-transform and existing modified S-transform in the literature. Moreover, comparison with other known time-frequency transforms such as Short-time Fourier transform (STFT) and smoothed-pseudo Wigner-Ville distribution (SPWVD) is also performed and discussed. The proposed S-transform is tested also on real non-stationary signals through an example of split detection in heart sounds.

• Publication year

  2015

• Venue

  Digit. Signal Process.

• Publication date

  2015-11-01

• Fields of study

  Computer Science, Engineering

• Identifiers
  DOI 10.1016/j.dsp.2015.07.003
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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