Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Holighaus, Nicki"'
Autor:
Holighaus, Nicki, Voigtlaender, Felix
In a recent paper, we have shown that warped time-frequency representations provide a rich framework for the construction and study of smoothness spaces matched to very general phase space geometries obtained by diffeomorphic deformations of $\mathbb
Externí odkaz:
http://arxiv.org/abs/2407.16595
Autor:
Holighaus, Nicki, Koliander, Günther
We provide an example for the generating matrix $A$ of a two-dimensional lattice $\Gamma = A\mathbb{Z}^2$, such that the following holds: For any sufficiently smooth and localized mother wavelet $\psi$, there is a constant $\beta(A,\psi)>0$, such tha
Externí odkaz:
http://arxiv.org/abs/2307.13481
Publikováno v:
IEEE/ACM Transactions on Audio, Speech and Language Processing, 31:789--801, January 2023
The constant center frequency to bandwidth ratio (Q-factor) of wavelet transforms provides a very natural representation for audio data. However, invertible wavelet transforms have either required non-uniform decimation -- leading to irregular data s
Externí odkaz:
http://arxiv.org/abs/2301.01640
We provide the foundations of a Hilbert space theory for the short-time Fourier transform (STFT) where the flat tori \begin{equation*} \mathbb{T}_{N}^2=\mathbb{R}^2/(\mathbb{Z}\times N\mathbb{Z})=[0,1]\times \lbrack 0,N] \end{equation*} act as phase
Externí odkaz:
http://arxiv.org/abs/2209.04191
Autor:
Holighaus, Nicki, Voigtlaender, Felix
Warped time-frequency systems have recently been introduced as a class of structured continuous frames for functions on the real line. Herein, we generalize this framework to the setting of functions of arbitrary dimensionality. After showing that th
Externí odkaz:
http://arxiv.org/abs/2208.01342
Finding the best K-sparse approximation of a signal in a redundant dictionary is an NP-hard problem. Suboptimal greedy matching pursuit (MP) algorithms are generally used for this task. In this work, we present an acceleration technique and an implem
Externí odkaz:
http://arxiv.org/abs/2202.12380
Autor:
Průša, Zdeněk, Holighaus, Nicki
Signal reconstruction from magnitude-only measurements presents a long-standing problem in signal processing. In this contribution, we propose a phase (re)construction method for filter banks with uniform decimation and controlled frequency variation
Externí odkaz:
http://arxiv.org/abs/2202.07498
Publikováno v:
29th European Signal Processing Conference (EUSIPCO) 2021
The scattering transform is a non-linear signal representation method based on cascaded wavelet transform magnitudes. In this paper we introduce phase scattering, a novel approach where we use phase derivatives in a scattering procedure. We first rev
Externí odkaz:
http://arxiv.org/abs/2202.07484
Audio inpainting refers to signal processing techniques that aim at restoring missing or corrupted consecutive samples in audio signals. Prior works have shown that $\ell_1$- minimization with appropriate weighting is capable of solving audio inpaint
Externí odkaz:
http://arxiv.org/abs/2202.07479
Autor:
Prusa, Zdenek, Holighaus, Nicki
The phase vocoder (PV) is a widely spread technique for processing audio signals. It employs a short-time Fourier transform (STFT) analysis-modify-synthesis loop and is typically used for time-scaling of signals by means of using different time steps
Externí odkaz:
http://arxiv.org/abs/2202.07382