The separation of overlapping components is a well-known and difficult problem in multicomponent signals analysis and it is shared by applications dealing with radar, biosonar, seismic, and audio signals. In order to estimate the instantaneous frequencies of a multicomponent signal, it is necessary to disentangle signal modes in a proper domain. Unfortunately, if signal modes supports overlap both in time and frequency, separation is only possible through a parametric approach whenever the signal class is a priori fixed. In this work, time-frequency analysis and Radon transform are jointly used for the unsupervised separation of modes of a generic frequency modulated signal in noisy environment. The proposed method takes advantage of the ability of the Radon transform of a proper time-frequency distribution in separating overlapping modes. It consists of a blind segmentation of signal components in Radon domain by means of a near-to-optimal threshold operation. The inversion of the Radon transform on each detected region allows us to isolate the instantaneous frequency curves of each single mode in the time-frequency domain. Experimental results performed on constant amplitudes chirp signals confirm the effectiveness of the proposed method, opening the way for its extension to more complex frequency modulated signals.

Radon spectrogram-based approach for automatic IFs separation / Bruni, Vittoria; Tartaglione, Michela; Vitulano, Domenico. - In: EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING. - ISSN 1687-6180. - 13:1(2020). [10.1186/s13634-020-00673-8]

Radon spectrogram-based approach for automatic IFs separation

Bruni, Vittoria;Tartaglione, Michela
;
Vitulano, Domenico
2020

Abstract

The separation of overlapping components is a well-known and difficult problem in multicomponent signals analysis and it is shared by applications dealing with radar, biosonar, seismic, and audio signals. In order to estimate the instantaneous frequencies of a multicomponent signal, it is necessary to disentangle signal modes in a proper domain. Unfortunately, if signal modes supports overlap both in time and frequency, separation is only possible through a parametric approach whenever the signal class is a priori fixed. In this work, time-frequency analysis and Radon transform are jointly used for the unsupervised separation of modes of a generic frequency modulated signal in noisy environment. The proposed method takes advantage of the ability of the Radon transform of a proper time-frequency distribution in separating overlapping modes. It consists of a blind segmentation of signal components in Radon domain by means of a near-to-optimal threshold operation. The inversion of the Radon transform on each detected region allows us to isolate the instantaneous frequency curves of each single mode in the time-frequency domain. Experimental results performed on constant amplitudes chirp signals confirm the effectiveness of the proposed method, opening the way for its extension to more complex frequency modulated signals.
Overlapping modes; non-linear FM signals; instantaneous frequency; ridge curves; Radon transfor; Radon-Wigner transform; spectrogram; ICI rule; minimum description length principle
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Radon spectrogram-based approach for automatic IFs separation / Bruni, Vittoria; Tartaglione, Michela; Vitulano, Domenico. - In: EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING. - ISSN 1687-6180. - 13:1(2020). [10.1186/s13634-020-00673-8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1381396
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