Wave-shape function analysis: When cepstrum meets time–frequency analysis

CY Lin, L Su, HT Wu - Journal of Fourier Analysis and Applications, 2018 - Springer
We propose to combine cepstrum and nonlinear time–frequency (TF) analysis to study
multiple component oscillatory signals with time-varying frequency and amplitude and with …

Carrier frequencies, holomorphy, and unwinding

RR Coifman, S Steinerberger, H Wu - SIAM Journal on Mathematical Analysis, 2017 - SIAM
We prove that functions of intrinsic-mode type (a classical models for signals) behave
essentially like holomorphic functions: adding a pure carrier frequency e^int ensures that the …

Entropy-based time-varying window width selection for nonlinear-type time–frequency analysis

YL Sheu, LY Hsu, PT Chou, HT Wu - International Journal of Data Science …, 2017 - Springer
We propose a time-varying optimal window width (TVOWW) and an adaptive optimal
window width selection schemes to optimize the performance of several nonlinear-type time …

[HTML][HTML] Convex optimization approach to signals with fast varying instantaneous frequency

M Kowalski, A Meynard, H Wu - Applied and computational harmonic …, 2018 - Elsevier
Motivated by the limitation of analyzing oscillatory signals composed of multiple components
with fast-varying instantaneous frequency, we approach the time-frequency analysis …

Modeling the pulse signal by wave-shape function and analyzing by synchrosqueezing transform

HT Wu, HK Wu, CL Wang, YL Yang, WH Wu, TH Tsai… - PloS one, 2016 - journals.plos.org
We apply the recently developed adaptive non-harmonic model based on the wave-shape
function, as well as the time-frequency analysis tool called synchrosqueezing transform …

On the existence of optimizers for time–frequency concentration problems

F Nicola, JL Romero, SI Trapasso - Calculus of Variations and Partial …, 2023 - Springer
We consider the problem of the maximum concentration in a fixed measurable subset Ω⊂ R
2 d of the time-frequency space for functions f∈ L 2 (R d). The notion of concentration can …

FM Tone Transfer with Envelope Learning

F Caspe, A McPherson, M Sandler - Proceedings of the 18th …, 2023 - dl.acm.org
Tone Transfer is a novel deep-learning technique for interfacing a sound source with a
synthesizer, transforming the timbre of audio excerpts while kee** their musical form …

Graph-based structures in data science: fundamental limits and applications to machine learning

N Perraudin - 2017 - infoscience.epfl.ch
State-of-the-art data analysis tools have to deal with high-dimensional data. Fortunately, the
inherent dimensionality of data is often much smaller, as it has an internal structure limiting …

Continuous empirical wavelets systems

J Gilles - Advances in Data Science and Adaptive Analysis, 2020 - World Scientific
The recently proposed empirical wavelet transform was based on a particular type of filter. In
this paper, we aim to propose a general framework for the construction of empirical wavelet …

Efficient analysis and synthesis using a new factorization of the Gabor frame matrix

S Moreno-Picot, FJ Ferri… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
In this paper, we consider the case in which one needs to carry out Gabor analysis and
synthesis on large signals using a short support analysis window and its corresponding …