#5782. A chirplet transform-based mode retrieval method for multicomponent signals with crossover instantaneous frequencies

July 2026publication date
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Journal’s subject area:
Statistics, Probability and Uncertainty;
Applied Mathematics;
Computational Theory and Mathematics;
Electrical and Electronic Engineering;
Computer Vision and Pattern Recognition;
Signal Processing;
Artificial Intelligence;
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Abstract:
In nature and engineering world, the acquired signals are usually affected by multiple complicated factors and appear as multicomponent nonstationary modes. In such and many other situations, it is necessary to separate these signals into a finite number of monocomponents to represent the intrinsic modes and underlying dynamics implicated in the source signals. In this paper, we consider the mode retrieval of a multicomponent signal which has crossing instantaneous frequencies (IFs), meaning that some of the components of the signal overlap in the time-frequency domain. We use the chirplet transform (CT) to represent a multicomponent signal in the three-dimensional space of time, frequency and rate and introduce a CT-based signal separation scheme (CT3S) to retrieve modes.
Keywords:
Chirplet transform; Filter-matched chirplet transform; Mode retrieval; Multicomponent signals with crossing instantaneous frequencies; Signal separation

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