In this paper, we address the issue of adaptive mono-component mode decomposition based on synchroextracting operator (SEO). The emphasis is on how to characterize the instantaneous frequency (IF) of each mode precisely and detect all IF trajectories adaptively. To achieve this aim, we introduce a new technology called SEO, that can provide the ideal IF representation in the framework of SEO and benefit to the decomposition of mono-component modes. • This paper proposes an adaptive mono-component mode decomposition method based on the synchroextracting operator (SEO) within the synchrosqueezing transform framework. • By converting the instantaneous-frequency estimate into a binary SEO representation, the method decouples frequency information from amplitude, enabling sensitive detection of weak modes and improved robustness to heavy noise. • A new SEO-based ridge extraction and stopping criterion allow the number of active modes to be determined automatically and their instantaneous frequencies to be tracked accurately. • Numerical experiments on multi-component synthetic benchmarks and a real gravitational-wave signal from a black-hole binary inspiral demonstrate precise mode reconstruction, clear physical interpretability and broad applicability.
Yu et al. (Sun,) studied this question.