Parameterised time-frequency analysis methods and their engineering applications: A review of recent advances

Y Yang, Z Peng, W Zhang, G Meng - Mechanical Systems and Signal …, 2019 - Elsevier
It is well known that time-frequency analysis (TFA) characterises signals in time-frequency
plane. Theoretically, traditional non-parameterised TFA can analyze any signal, but it is …

Adapted and adaptive linear time-frequency representations: a synthesis point of view

P Balazs, M Dörfler, M Kowalski… - IEEE Signal Processing …, 2013 - ieeexplore.ieee.org
A large variety of techniques exist to display the time and frequency content of a given
signal. In this article, we give an overview of linear time-frequency representations, focusing …

A matlab toolbox for efficient perfect reconstruction time-frequency transforms with log-frequency resolution

C Schörkhuber, A Klapuri, N Holighaus… - Audio Engineering Society …, 2014 - aes.org
In this paper, we propose a time-frequency representation where the frequency bins are
distributed uniformly in log-frequency and their Q-factors obey a linear function of the bin …

The large time-frequency analysis toolbox 2.0

Z Průša, PL Søndergaard, N Holighaus… - Sound, Music, and …, 2014 - Springer
Abstract The Large Time Frequency Analysis Toolbox (LTFAT) is a modern Octave/Matlab
toolbox for time-frequency analysis, synthesis, coefficient manipulation and visualization. It's …

A framework for invertible, real-time constant-Q transforms

N Holighaus, M Dörfler, GA Velasco… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Audio signal processing frequently requires time-frequency representations and in many
applications, a non-linear spacing of frequency bands is preferable. This paper introduces a …

[PDF][PDF] Constructing an invertible constant-Q transform with non-stationary Gabor frames

GA Velasco, N Holighaus, M Dörfler, T Grill - Proceedings of DAFX11, Paris, 2011 - dafx.de
An efficient and perfectly invertible signal transform featuring a constant-Q frequency
resolution is presented. The proposed approach is based on the idea of the recently …

The linear time frequency analysis toolbox

PL Søndergaard, B Torrésani… - International Journal of …, 2012 - World Scientific
The Linear Time Frequency Analysis Toolbox is a MATLAB/Octave toolbox for computational
time-frequency analysis. It is intended both as an educational and computational tool. The …

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 …

An analytic wavelet transform with a flexible time-frequency covering

I Bayram - IEEE Transactions on Signal Processing, 2012 - ieeexplore.ieee.org
We develop a rational-dilation wavelet transform for which the dilation factor, the Q-factor
and the redundancy can be easily specified. The introduced transform contains Hilbert …

Characterization of analytic wavelet transforms and a new phaseless reconstruction algorithm

N Holighaus, G Koliander, Z Průša… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The
characterization is obtained as a byproduct of the theoretical foundations of a new method …