Peter Balazs

  • Start des FWF-Projekts "Time-Frequency Implementation of HRTFs"

    The FWF project "Time-Frequency Implementation of HRTFs" has started.

    Principal Investigator: Damian Marelli

    Co-Applicants: Peter BalazsPiotr Majdak

  • Amadee: Frame Theory for Sound Processing and Acoustic Holophon

    S&T cooperation project 'Amadee' Austria-France 2013-14, "Frame Theory for Sound Processing and Acoustic Holophony", FR 16/2013

    Project Partner: The Institut de recherche et coordination acoustique/musique (IRCAM)

  • ANACRES - Analysis and Acoustics Research

    Scientific and Technological Cooperation between Austria and Serbia (SRB 01/2018)

    Duration of the project: 01.07.2018 - 30.06.2020


    Project partners:

    Acoustics Research Institute, ÖAW (Austria)

    University of Vienna (Austria)

    University of Novi Sad (Republic of Serbia)


    Link to the project website:

  • BIOTOP: Adaptive Wavelet and Frame techniques for acoustic BEM. FWF Project I-1018-N25

    Biotop Beschreibung
    Workflow Biotop


    Die Lokalisierung von Schallquellen spielt eine wichtige Rolle im täglichem Leben. Die Form des menschlichen Kopfs, des Torsos und vor allem des Außenohrs (Pinna) bewirken einen Filtereffekt für einfallenden Schall und spielen daher eine wichtige Rolle bei der Ortung einer Schallquelle. Dieser Filtereffekt kann mittels der s.g. head related transfer functions (HRTFs, kopfbezogene Übertragungsfunktionen) beschrieben werden. Diese Filterfunktionen können mittels numerischer Methoden (zum Beispiel der Randelemente Methode, BEM) berechnet werden. In BIOTOP sollen diese Berechnungen durch Anwendung adaptiver Wavelet und Frame Methoden effizienter gemacht werden.


    Verglichen mit den herkömmlichen BEM Ansatzfunktionen haben Wavelets den Vorteil, besser an gegebene Schallverteilungen angepasst werden zu können. Als Verallgemeinerung von Wavelets sollen Frames dabei helfen, eine noch flexiblere Berechnungsmethode und damit eine noch bessere Anpassung an das gegebene Problem zu entwickeln. BIOTOP verbindet abstrakte mathematische Theorie mit numerischer und angewandter Mathematik. BIOTOP ist ein internationales DACH-Projekt (DFG-FWF-SFG) zwischen der Philipps-Universität Marburg (Stephan Dahlke), der Unicersität Basel (Helmut Harbrecht) und dem Institut für Schallforschung. Die gemeinsame Erfahrung dieser drei Forschungsgruppen soll helfen, neue numerische Strategien und Methoden zu entwickeln. Das Projekt wird vom FWF (Proj. Nummer: I-1018 N25) gefördert.


  • FLAME: Frames and Linear Operators for Acoustical Modeling and Parameter Estimation.

    START project of P. Balazs.



    Diese Seite ist eine Projektbeschreibung und als solche in englischer Sprache verfasst.

    This international, multi-disciplinary and team-oriented project will expand the group Mathematics and Acoustical Signal Processing at the Acoustic Research Institute in cooperation with NuHAG Vienna (Hans G. Feichtinger, M. Dörfler, K. Gröchenig), Institute of TelecommunicationVienna (Franz Hlawatsch), LATP Marseille (Bruno Torrésani) LMA (Richard Kronland-Martinet). CAHR (Torsten Dau, Peter Soendergaard), the FYMA Louvain-la-Neuve (Jean-Pierre Antoine), AG Numerics (Stephan Dahlke), School of Electrical Engineering and Computer Science (Damian Marelli) as well as the BKA Wiesbaden (Timo Becker).

    Within the institute the groups Audiological Acoustics and Psychoacoutics, Computational Acoustics, Acoustic Phonetics and Software Development are involved in the project.

    This project is funded by the FWF as a START price . It is planned to run from May 2012 to April 2018.






    General description:

    We live in the age of information where the analysis, classification, and transmission of information is f essential importance. Signal processing tools and algorithms form the backbone of important technologieslike MP3, digital television, mobile phones and wireless networking. Many signal processing algorithms have been adapted for applications in audio and acoustics, also taking into account theproperties of the human auditory system.

    The mathematical concept of frames describes a theoretical background for signal processing. Frames are generalizations of orthonormal bases that give more freedom for the analysis and modificationof information - however, this concept is still not firmly rooted in applied research. The link between the mathematical frame theory, the signal processing algorithms, their implementations andfinally acoustical applications is a very promising, synergetic combination of research in different fields.

    Therefore the main goal of this multidisciplinary project is to

    -> Establish Frame Theory as Theoretical Backbone of Acoustical Modeling

    in particular in psychoacoustics, phonetic and computational acoustics as well as audio engineering.



    For this auspicious connection of disciplines, FLAME will produce substantial impact on both the heory and applied research.

    The theory-based part of FLAME consists of the following topics:

    • T1 Frame Analysis and Reconstruction Beyond Classical Approaches
    • T2 Frame Multipliers, Extended
    • T3 Novel Frame Representation of Operators Motivated by Computational Acoustics

    The application-oriented part of FLAME consists of:

    • A1 Advanced Frame Methods for Perceptual Sparsity in the Time-Frequency Plane
    • A2 Advanced Frame Methods for the Analysis and Classification of Speech
    • A3 Advanced Frame Methods for Signal Enhancement and System Estimation

    Press information:




  • Frames for Psychoacoustics

    This page provides resources for the research article:

    "Frame Theory for Signal Processing in Psychoacoustics"

    by Peter Balazs, Nicki Holighaus, Thibaud Necciari, and Diana Stoeva

    to appear in the book "Excursions in Harmonic Analysis" published by Springer.

    Abstract: 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 presented and some proofs are provided to explain those concepts in some detail. The goal is to reveal to hearing scientists how this mathematical theory could be relevant for their research. In particular, we focus on frame theory in a filter bank approach, which is probably the most relevant view-point for scientists in audio signal processing. On the other side, basic psychoacoustic concepts are presented to stimulate mathematicians to apply their knowledge in this field.

    The present ZIP archive features Matlab/Octave scripts that will allow to reproduce the results presented in Figures 7, 10, and 11 of the article.

    IMPORTANT NOTE: The Matlab/Octave toolbox Large Time-Frequency Analysis (LTFAT, version 1.2.0 and above) must be installed to run the codes. This toolbox is freely available at Sourceforge.

    If you encounter any issue with the files, please do not hesitate to contact the authors.


  • FTAA: Frame Theory and Asymptotic Analysis

    Scientific and Technological Cooperation with Macedonia 2016-18
    Project duration: 01.07.2016 – 30.06.2018

    The main aim of the project is to combine the research areas of Frame Theory and Generalized Asymptotic Analysis.

    Project partner institutions:
    Acoustics Research Institute (ARI), Austrian Academy of Sciences, Vienna, Austria
    Ss. Cyril and Methodius University, Skopje, The Former Yugoslav Republic of Macedonia

    Project members:
    Diana T. Stoeva (Project coordinator Austria), Peter Balazs, Nicki Holighaus, Zdenek Prusa
    Katerina Hadzi-Velkova Saneva (Project coordinator FYROM), Sanja Atanasova, Pavel Dimovski, Zoran Hadzi-Velkov, Bojan Prangoski, Biljana Stanoevska-Angelova, Daniel Velinov, Jasmina Veta Buralieva

    Project Workshops and Activities:

    1) Nov. 24-26, 2016, Ss. Cyril and Methodius University, Skopje

    Project Kickoff-workshop

    Program of the workshop

    2) Nov. 15-19, 2017, ARI, Vienna

    Research on project-related topics

    3) April 14-19, 2018, ARI, Vienna

    Research on project-related topics


    ARI-Guest-Talk given at ARI on the 17th of April, 2018: Prof. Zoran Hadzi-Velkov, "The Emergence of Wireless Powered Communication Networks"

    4) May 25-30, Ss. Cyril and Methodius University, Skopje

    Research on project-related topics


    Workshop "Women in mathematics in the Balkan region" (May 28 - May 29, Ss. Cyril and Methodius University, Skopje)

    5) June 14-18, Ss. Cyril and Methodius University, Skopje

    Research on project-related topics


    Summer course "An Introduction to Frame Theory and the Large Time/Frequency Analysis Toolbox" (June 14-15), Lecturers: Diana Stoeva and Zdenek Prusa (from ARI)

    6) Mini-Symposium "Frame Theory and Asymptotic Analysis" organized at the European Women in Mathematics General Meeting 2018, Karl-Franzens-Universität Graz, Austria, 3-7 September 2018.

    Link to Conference website

    7) November 17-20, 2018, ARI, Vienna

    Work on project-related topics




  • INSIGHT: Infinite Dimensional Signal Processing Techniques for Acoustic Applications

    General Information

    Funded by the Vienna Science and Technology Fund (WWTF) within the  "Mathematics and …2016"  Call (MA16-053)

    Principal Investigator: Georg Tauböck

    Co-Principal Investigator: Peter Balazs

    Project Team: Günther Koliander, José Luis Romero  

    Duration: 01.07.2017 – 01.07.2021


    Signal processing is a key technology that forms the backbone of important developments like MP3, digital television, mobile communications, and wireless networking and is thus of exceptional relevance to economy and society in general. The overall goal of the proposed project is to derive highly efficient signal processing algorithms and to tailor them to dedicated applications in acoustics. We will develop methods that are able to exploit structural properties in infinite-dimensional signal spaces, since typically ad hoc restrictions to finite dimensions do not sufficiently preserve physically available structure. The approach adopted in this project is based on a combination of the powerful mathematical methodologies frame theory (FT), compressive sensing (CS), and information theory (IT). In particular, we aim at extending finite-dimensional CS methods to infinite dimensions, while fully maintaining their structure-exploiting power, even if only a finite number of variables are processed. We will pursue three acoustic applications, which will strongly benefit from the devised signal processing techniques, i.e., audio signal restoration, localization of sound sources, and underwater acoustic communications. The project is set up as an interdisciplinary endeavor in order to leverage the interrelations between mathematical foundations, CS, FT, IT, time-frequency representations, wave propagation, transceiver design, the human auditory system, and performance evaluation.


    compressive sensing, frame theory, information theory, signal processing, super resolution, phase retrieval, audio, acoustics




  • Irregular Frames of Translates


    General frame theory can be more specialized if a structure is imposed on the elements of the frame in question. One possible, very natural structure is sequences of shifts of the same function. In this project, irregular shifts are investigated.


    In this project, the connection to irregular Gabor multipliers will be explored. Using the Kohn Nirenberg correspondence, the space spanned by Gabor multipliers is just a space spanned by translates. Furthermore, the special connection of the Gramian function and the Grame matrix for this case will be investigated.


    A typical example of frames of translates is filter banks, which have constant shapes. For example, the phase vocoder corresponds to a filter bank with regular shifts. Introducing an irregular shift gives rise to a generalization of this analysis / synthesis system.


    • S. Heineken, Research Group on Real and Harmonic Analysis, University of Buenos Aires
  • TIFMOFUS: Time-Frequency Methods for Operators and Function Spaces

    Multilateral Scientific and Technological Cooperation in the Danube Region 2017-2018
    Austria, Czech Republic, Republic of Serbia, and Slovak Republic
    Project duration: 01.01.2017 - 31.12.2018

    Project website: