97 citations · 336 across the 30 of their papers we have counts for
7 papers · 1 filter
Time-frequency analysis on flat tori and Gabor frames in finite dimensions
Luis Daniel Abreu, Peter Balazs, Nicki Holighaus +2
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}\tim…
Coorbit theory of warped time-frequency systems in
Nicki Holighaus, Felix Voigtlaender
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 s…
Fast Matching Pursuit with Multi-Gabor Dictionaries
Zdeněk Průša, Nicki Holighaus, Peter Balazs
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…
Non-iterative Filter Bank Phase (Re)Construction
Zdeněk Průša, Nicki Holighaus
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 f…
Phase-Based Signal Representations for Scattering
Daniel Haider, Peter Balazs, Nicki Holighaus
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…
Audio Inpainting via -Minimization and Dictionary Learning
Shristi Rajbamshi, Georg Tauböck, Peter Balazs +1
Audio inpainting refers to signal processing techniques that aim at restoring missing or corrupted consecutive samples in audio signals. Prior works have shown that - minim…
Phase Vocoder Done Right
Zdenek Prusa, Nicki Holighaus
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 u…