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Robustness Properties of Local Maximum Synchrosqueezing Transform
  • Ran Zhang
Ran Zhang
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Abstract

The development of the synchrosqueezing techniques has been a very active research area in recent years. The synchrosqueezing transform (SST) is a powerful tool for time-frequency analysis of multicomponent nonstationary signals. The local maximum synchrosqueezing transform (LMSST) was recently introduced as a variant of SST. It directly uses the local maximum to reassign the time-frequency coefficient in order to obtain an energy-concentrated representation. However the theoretical foundation of LMSST is yet to be properly established. In this paper, we study the linear-chirp model based LMSST with the objective of obtaining its error bounds of mode separation/retrieval under noise-free and noisy conditions. Our theorems demonstrate the applicability of LMSST mathematically. Numerical experiments including synthetic and real-world signals are provided to illustrate the general theory.