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A Fast and Robust Spectrogram Reassignment Method

Author

Listed:
  • Vittoria Bruni

    (Department of Basic and Applied Sciences for Engineering, University of Rome La Sapienza, via Antonio Scarpa 16, 00161 Rome, Italy
    Institute for the Applications of Calculus, National Research Council, via dei Taurini 19, 00185 Rome, Italy)

  • Michela Tartaglione

    (Department of Basic and Applied Sciences for Engineering, University of Rome La Sapienza, via Antonio Scarpa 16, 00161 Rome, Italy)

  • Domenico Vitulano

    (Institute for the Applications of Calculus, National Research Council, via dei Taurini 19, 00185 Rome, Italy)

Abstract

The improvement of the readability of time-frequency transforms is an important topic in the field of fast-oscillating signal processing. The reassignment method is often used due to its adaptivity to different transforms and nice formal properties. However, it strongly depends on the selection of the analysis window and it requires the computation of the same transform using three different but well-defined windows. The aim of this work is to provide a simple method for spectrogram reassignment, named FIRST (Fast Iterative and Robust Reassignment Thinning), with comparable or better precision than classical reassignment method, a reduced computational effort, and a near independence of the adopted analysis window. To this aim, the time-frequency evolution of a multicomponent signal is formally provided and, based on this law, only a subset of time-frequency points is used to improve spectrogram readability. Those points are the ones less influenced by interfering components. Preliminary results show that the proposed method can efficiently reassign spectrograms more accurately than the classical method in the case of interfering signal components, with a significant gain in terms of required computational effort.

Suggested Citation

  • Vittoria Bruni & Michela Tartaglione & Domenico Vitulano, 2019. "A Fast and Robust Spectrogram Reassignment Method," Mathematics, MDPI, vol. 7(4), pages 1-20, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:358-:d:224384
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    Citations

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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. 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.

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