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A Fast and Robust Spectrogram Reassignment Method

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
Author to whom correspondence should be addressed.
Mathematics 2019, 7(4), 358;
Received: 17 March 2019 / Revised: 5 April 2019 / Accepted: 14 April 2019 / Published: 19 April 2019
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. View Full-Text
Keywords: time-frequency transform; reassignment method; time-frequency evolution law; multicomponent FM signals time-frequency transform; reassignment method; time-frequency evolution law; multicomponent FM signals
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Bruni, V.; Tartaglione, M.; Vitulano, D. A Fast and Robust Spectrogram Reassignment Method. Mathematics 2019, 7, 358.

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