1 citations · 2 across the 15 of their papers we have counts for
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Theoretical analysis of phase-rectified signal averaging (PRSA) algorithm
Jiro Akahori, Joseph Najnudel, Hau-Tieng Wu +1
Phase-rectified signal averaging (PRSA) is a widely used algorithm to analyze nonstationary biomedical time series. The method operates by identifying hinge points in the time seri…
Time-Frequency Filtering Meets Graph Clustering
Marcelo A. Colominas, Stefan Steinerberger, Hau-Tieng Wu
We show that the problem of identifying different signal components from a time-frequency representation can be equivalently phrased as a graph clustering problem: given a graph $G…
On the Practical Use of Blaschke Decomposition in Nonstationary Signal Analysis
Ronald R. Coifman, Hau-Tieng Wu
The Blaschke decomposition-based algorithm, {\em Phase Dynamics Unwinding} (PDU), possesses several attractive theoretical properties, including fast convergence, effective decompo…
On Random Fields Associated with Analytic Wavelet Transform
Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu
Despite the broad application of the analytic wavelet transform (AWT), a systematic statistical characterization of its magnitude and phase as inhomogeneous random fields on the ti…
Uncertainty quantification of synchrosqueezing transform under complicated nonstationary noise
Hau-Tieng Wu, Zhou Zhou
We propose a bootstrapping framework to quantify uncertainty in time-frequency representations (TFRs) generated by the short-time Fourier transform (STFT) and the STFT-based synchr…
Probabilistic Analysis of Scalogram Ridges in Signal Processing
Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu
While ridges in the scalogram, determined by the squared modulus of analytic wavelet transform (AWT), is a widely accepted concept and utilized in nonstationary time series analysi…