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1 results

  • 10 - Sharpening Spectrograms

  • from Part II - Geometry and Statistics
  • Patrick Flandrin
  • Book:
    Explorations in Time-Frequency Analysis
    Published online:
    22 August 2018
    Print publication:
    06 September 2018, pp 77-97

  • Summary

    Time-frequency energy distributions are faced with a trade-off between localization and interference. Different approaches exist for getting sharply localized that are almost interference-free: they are based either on some forms of post-processing (reassignment and synchrosqueezing, and variations thereof, which both move computed values in the plane) or by invoking sparsity arguments and replacing a Fourier-based transform by a constrained optimization. When targeting a sharpened distribution, another trade-off exists between localization and reconstruction capabilities: some methods are presented in order to overcome this limitation.