534 citations · 2k across the 96 of their papers we have counts for
10 papers · 1 filter
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application
Ziyu Chen, Hau-Tieng Wu
Analysis of signals with oscillatory modes with crossover instantaneous frequencies is a challenging problem in time series analysis. One way to handle this problem is lifting the…
Convergence analysis of Adaptive Locally Iterative Filtering and SIFT method
Antonio Cicone, Hau-Tieng Wu
Adaptive Local Iterative Filtering (ALIF) is a currently proposed novel time-frequency analysis tool. It has been empirically shown that ALIF is able to separate components and ove…
Carrier frequencies, holomorphy and unwinding
Ronald R. Coifman, Stefan Steinerberger, Hau-tieng Wu
We prove that functions of intrinsic-mode type (a classical models for signals) behave essentially like holomorphic functions: adding a pure carrier frequency ensures tha…
Convex Optimization approach to signals with fast varying instantaneous frequency
Matthieu Kowalski, Adrien Meynard, Hau-tieng Wu
Motivated by the limitation of analyzing oscillatory signals composed of multiple components with fast-varying instantaneous frequency, we approach the time-frequency analysis prob…
Real-time dynamics acquisition from irregular samples -- with application to anesthesia evaluation
Charles K. Chui, Yu-Ting Lin, Hau-tieng Wu
The first objective of this paper is to introduce a unified approach to the D/A conversion, a real-time algorithm referred to as {\it blending operator}, based on spline functions…
Spectral Convergence of the connection Laplacian from random samples
Amit Singer, Hau-tieng Wu
Spectral methods that are based on eigenvectors and eigenvalues of discrete graph Laplacians, such as Diffusion Maps and Laplacian Eigenmaps are often used for manifold learning an…
Using synchrosqueezing transform to discover breathing dynamics from ECG signals
Wu Hau-Tieng, Chan Yi-Hsin, Lin Yu-Ting +1
The acquisition of breathing dynamics without directly recording the respiratory signals is beneficial in many clinical settings. The electrocardiography (ECG)-derived respiration…
Instantaneous frequency and wave shape functions (I)
Hau-tieng Wu
Although one can formulate an intuitive notion of instantaneous frequency, generalizing "frequency" as we understand it in e.g. the Fourier transform, a rigorous mathematical defin…
Synchrosqueezing-based Recovery of Instantaneous Frequency from Nonuniform Samples
Gaurav Thakur, Hau-Tieng Wu
We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consid…
Synchrosqueezed Wavelet Transforms: a Tool for Empirical Mode Decomposition
Ingrid Daubechies, Jianfeng Lu, Hau-Tieng Wu
The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are t…