97 citations · 336 across the 30 of their papers we have counts for
33 papers
Training Set Synthesis for Bioacoustic Denoising: A Case Study With Mice
Reyhaneh Abbasi, Peter Balazs, Vincent Lostanlen +4
Bioacoustic recordings are often degraded by ambient noise, which complicates the analysis of weak or noise-overlapped vocalizations. Convolutional neural networks, particularly U-…
SELEBI: Percussion-aware Time Stretching via Selective Magnitude Spectrogram Compression by Nonstationary Gabor Transform
Natsuki Akaishi, Nicki Holighaus, Kohei Yatabe
Phase vocoder-based time-stretching is a widely used technique for the time-scale modification of audio signals. However, conventional implementations suffer from ``percussion smea…
Aliasing in Convnets: A Frame-Theoretic Perspective
Daniel Haider, Vincent Lostanlen, Martin Ehler +2
Using a stride in a convolutional layer inherently introduces aliasing, which has implications for numerical stability and statistical generalization. While techniques such as the…
Discretization of Continuous Frames by Quasi-Monte Carlo Methods
Jan Zimmermann, Andreas Klotz, Nicki Holighaus
We introduce a discretization scheme for continuous localized frames using quasi-Monte Carlo integration and discrepancy theory. By generalizing classical concepts, we define a dis…
ISAC: An Invertible and Stable Auditory Filter Bank with Customizable Kernels for ML Integration
Daniel Haider, Felix Perfler, Peter Balazs +2
This paper introduces ISAC, an invertible and stable, perceptually-motivated filter bank that is specifically designed to be integrated into machine learning paradigms. More precis…
Smoothness spaces for warped time-frequency representations -- Decomposition spaces and embedding relations
Nicki Holighaus, Felix Voigtlaender
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 pha…
Rotated time-frequency lattices are sets of stable sampling for continuous wavelet systems
Nicki Holighaus, Günther Koliander
We provide an example for the generating matrix of a two-dimensional lattice , such that the following holds: For any sufficiently smooth and localized mother…
Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation
Nicki Holighaus, Günther Koliander, Clara Hollomey +1
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…
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…
Time-Frequency Phase Retrieval for Audio -- The Effect of Transform Parameters
Andrés Marafioti, Nicki Holighaus, Piotr Majdak
In audio processing applications, phase retrieval (PR) is often performed from the magnitude of short-time Fourier transform (STFT) coefficients. Although PR performance has been o…
Schur-type Banach modules of integral kernels acting on mixed-norm Lebesgue spaces
Nicki Holighaus, Felix Voigtlaender
Schur's test states that if satisfies and , then the associated integral operator acts boundedly…
GACELA -- A generative adversarial context encoder for long audio inpainting
Andres Marafioti, Piotr Majdak, Nicki Holighaus +1
We introduce GACELA, a generative adversarial network (GAN) designed to restore missing musical audio data with a duration ranging between hundreds of milliseconds to a few seconds…
Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm
Nicki Holighaus, Günther Koliander, Zdenĕk Průša +1
We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new m…
Adversarial Generation of Time-Frequency Features with application in audio synthesis
Andrés Marafioti, Nicki Holighaus, Nathanaël Perraudin +1
Time-frequency (TF) representations provide powerful and intuitive features for the analysis of time series such as audio. But still, generative modeling of audio in the TF domain…
Audio inpainting of music by means of neural networks
Andrés Marafioti, Nicki Holighaus, Piotr Majdak +1
We studied the ability of deep neural networks (DNNs) to restore missing audio content based on its context, a process usually referred to as audio inpainting. We focused on gaps i…
Discretization in generalized coorbit spaces: extensions, annotations and errata for "Continuous Frames, Function Spaces and the Discretization Problem" by M. Fornasier and H. Rauhut
Nicki Holighaus, Peter Balazs
During the process of writing the manuscript ["Continuous warped time-frequency representations - Coorbit spaces and discretization", N. Holighaus, C. Wiesmeyr and P. Balazs], the…
Frame Theory for Signal Processing in Psychoacoustics
Peter Balazs, Nicki Holighaus, Thibaud Necciari +1
This review chapter aims to strengthen the link between frame theory and signal processing tasks in psychoacoustics. On the one side, the basic concepts of frame theory are present…
Inpainting of long audio segments with similarity graphs
Nathanael Perraudin, Nicki Holighaus, Piotr Majdak +1
We present a novel method for the compensation of long duration data loss in audio signals, in particular music. The concealment of such signal defects is based on a graph that enc…