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An iterative approach for spectrogram reassignment of frequency modulated multicomponent signals

Author

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  • Bruni, Vittoria
  • Tartaglione, Michela
  • Vitulano, Domenico

Abstract

In this paper, an evolution law for the modulus of the Short Time Fourier Transform, referred as spectrogram, of a frequency modulated multicomponent signal is proposed. Based on this result, an iterative reallocating method for the enhancement of spectrogram resolution is proposed. Compared to the standard reassignment method, the presented procedure allows us to obtain a time–frequency representation which better localizes the individual modes of a multicomponent signal even in the non separable case. The proposed method is computationally advantageous and robust to modes interference, then it could be employed for accurate instantaneous frequency estimation, which is a fundamental goal in applications dealing with non stationary signals such as radar, surveillance and audio signals.

Suggested Citation

  • Bruni, Vittoria & Tartaglione, Michela & Vitulano, Domenico, 2020. "An iterative approach for spectrogram reassignment of frequency modulated multicomponent signals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 96-119.
    • Handle: RePEc:eee:matcom:v:176:y:2020:i:c:p:96-119
    DOI: 10.1016/j.matcom.2019.11.006
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    Cited by:

    1. Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2021. "A pde-Based Analysis of the Spectrogram Image for Instantaneous Frequency Estimation," Mathematics, MDPI, vol. 9(3), pages 1-26, January.
    2. Loretta Mastroeni & Alessandro Mazzoccoli & Greta Quaresima & Pierluigi Vellucci, 2021. "Wavelet analysis and energy-based measures for oil-food price relationship as a footprint of financialisation effect," Papers 2104.11891, arXiv.org, revised Mar 2022.
    3. Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2020. "A Signal Complexity-Based Approach for AM–FM Signal Modes Counting," Mathematics, MDPI, vol. 8(12), pages 1-33, December.
    4. Mastroeni, Loretta & Mazzoccoli, Alessandro & Quaresima, Greta & Vellucci, Pierluigi, 2022. "Wavelet analysis and energy-based measures for oil-food price relationship as a footprint of financialisation effect," Resources Policy, Elsevier, vol. 77(C).

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