Publication detail

Comparison of Measures of Time-Frequency Distribution Optimization

PIKULA, S. BENEŠ, P.

Original Title

Comparison of Measures of Time-Frequency Distribution Optimization

Type

conference paper

Language

English

Original Abstract

This article describes the problems of time-frequency representation optimization. The goal is to achieve compromise between good resolution and reduced cross terms. The quantitative measures used for this optimization are described. For the case of a simulated signal a measure based on mean squared error is proposed. The proposed method compares an optimized result to the ideal representation obtained as sum of Wigner-Ville distributions of mono-component signals. Three simulated signals are used to compare optimization of Choi-Williams Distribution, Gabor spectrogram, Short-time Fourier transform and S-method. The optimization is realized on the basis of four quantitative measures: Rényi entropy, Jones-Parks measure, Stankovic measure and proposed method. Results show problematic use of Jones-Parks measure for optimization and comparable optimization of all tested time-frequency distributions by means of three usable measures. For practical use with real signal, S-method with Rényi or Stankovic measure is recommended.

Keywords

Time-frequency representations; Wigner-Ville Distribution; Choi-Williams Distribution; Gabor transform; Short-time Fourier transform; S-method; Quantitative measures; Rényi entropy; Jones-Parks measure; Mean squared error

Authors

PIKULA, S.; BENEŠ, P.

Released

18. 10. 2016

Location

Lisabon

ISBN

978-1-4673-8817-7

Book

8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops - ICUMT

Pages from

314

Pages to

319

Pages count

6

URL

https://ieeexplore.ieee.org/document/7765378

BibTex

@inproceedings{BUT129995,
  author="Stanislav {Pikula} and Petr {Beneš}",
  title="Comparison of Measures of Time-Frequency Distribution Optimization",
  booktitle="8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops - ICUMT",
  year="2016",
  pages="314--319",
  address="Lisabon",
  doi="10.1109/ICUMT.2016.7765378",
  isbn="978-1-4673-8817-7",
  url="https://ieeexplore.ieee.org/document/7765378"
}