ConceFT: Concentration of Frequency and Time via a multitapered synchrosqueezed transform

Abstract

A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a theoretical analysis are presented to assess its effectiveness.

References in corpus (4)

• Inference of Time-Evolving Coupled Dynamical Systems in the Presence of Noise
• The Modeling and Quantification of Rhythmic to Non-rhythmic Phenomenon in Electrocardiography during Anesthesia
• Convex Optimization approach to signals with fast varying instantaneous frequency
• When interpolation-induced reflection artifact meets time-frequency analysis

Cited by in corpus (20)

• High-Order Synchrosqueezing Transform for Multicomponent Signals Analysis -- With an Application to Gravitational-Wave Signal
• Low-energy collective oscillations and Bogoliubov sound in an exciton-polariton condensate
• Modeling the pulse signal by wave-shape function and analyzing by synchrosqueezing transform
• Analyzing transient-evoked otoacoustic emissions by concentration of frequency and time
• Sharp rates of convergence for accumulated spectrograms
• An Efficient Forecasting Approach to Reduce Boundary Effects in Real-Time Time-Frequency Analysis
• Denoising Click-evoked Otoacoustic Emission Signals by Optimal Shrinkage
• Wave-shape Function Model Order Estimation by Trigonometric Regression
• Dynamic Bayesian Multitaper Spectral Analysis
• Adaptive Short-time Fourier Transform and Synchrosqueezing Transform for Non-stationary Signal Separation
• Current state of nonlinear-type time-frequency analysis and applications to high-frequency biomedical signals
• Recursive Diffeomorphism-Based Regression for Shape Functions
• Time-Scale-Chirp_rate Operator for Recovery of Non-stationary Signal Components with Crossover Instantaneous Frequency Curves
• Recovering Hidden Components in Multimodal Data with Composite Diffusion Operators
• Analysis of Adaptive Short-time Fourier Transform-based Synchrosqueezing Transform
• Adaptive Synchrosqueezing Transform with a Time-Varying Parameter for Non-stationary Signal Separation
• When Ramanujan meets time-frequency analysis in complicated time series analysis
• Signal Separation Based on Adaptive Continuous Wavelet Transform and Analysis
• $3D$ Crystal Image Analysis based on Fast Synchrosqueezed Transforms
• IF equation: a feature extractor for high-concentration time-frequency representation of mixed signals