Director and Research Scientist
Mathematics and Signal Processing in Acoustics
Tel. +43 1 51581-2510
Peter Balazs studied mathematics and physics at the University of Vienna. In 2001, he graduated with honors in mathematics and an M.Sc. thesis on "Polynomials over Groups" ("Polynome über Gruppen"). He successfully defended his PhD thesis and graduated (with distinction) in June 2005. His PhD thesis is titled, "Regular and Irregular Gabor Multiplier with Application to Psychoacoustic Masking," and can be downloaded here.
Peter Balazs has been part of the Institute since 1999. His PhD thesis was written at NuHaG, Faculty of Mathematics, University of Vienna. The cooperation formed during his thesis also resulted in him becoming a fellow of the HASSIP EU network. He joined the LATP, CMI and LMA, CNRS Marseille from November 2003 - April 2004 and in March, May and June of 2006. He also worked with the FYMA, UCL, Louvain-La-Neuve in August 2005.
In 2011 he has won the START prize, the national equivalent of the ERC starting grant in Austria, and therefore the most prestiguos award for youg scientists in Austria. In the same year he wrote his habilitation thesis "New Concepts in Frame Theory Motivated by Acoustical Applications".
In 2012 he was appointed as director of ARI.
Peter Balazs is interested in Time Frequency Analysis, Gabor Analysis, Numerics, Frame Theory, Signal Processing, Acoustics and Psychoacoustics.
He is now working on the START project 'Frames and Linear Operators for Acoustical Modeling and Parameter Estimation', which aims at establishing frame theory as the mathematical backbone for acoustical modelling. For more details see here.
In particular, he currently works on the topic of frame multipliers, he has introduced in 2007, as well as on general frames theory and adaptive and adapted time-frequency transforms. For all those topics he works on the mathematicalö theory, but also poossible implementations and applications in acoustics.
- Dörfler M.; Balazs P.; Jaillet F. (2009) Removing Components from a Time-Frequency Representation. NAG/DAGA 2009 (M. M. Boone, ed.). Rotterdam S. 1596-1599.
- Jaillet F.; Balazs P.; Dörfler M.; Engelputzeder N. (2009) On the structure of the Phase around the Zeros of the Short-Time Fourier Transform. NAG/DAGA 2009 (M. M. Boone, ed.). Rotterdam S. 1584-1587.
- Balazs P. (2009) Matrix Representation of Bounded Linear Operators By Bessel Sequences, Frames and Riesz Sequence. SAMPTA'09. Marseille S. Online.
- Jaillet F.; Balazs P.; Dörfler M.; Engelputzeder N. (2009) Nonstationary Gabor Frames. SAMPTA'09. Marseille S. Online.
- Balazs P. (2008) Frames and Finite Dimensionality: Frame Transformation, Classification and Algorithms. APPLIED MATHEMATICAL SCIENCES, Bd. Vol 2, S. 2131-2144.
- Laback B.; Balazs P.; Toupin G.; Necciari T.; Savel S.; Meunier S.; et al. (2008) Additivity of auditory masking using Gaussian-shaped tones. . S. 3889-3894.
- Balazs P. (2008) Hilbert-Schmidt Operators and Frames - Classification, Approximation by Multipliers and Algorithms. International Journal of Wavelets, Multiresolution and Information Processing.
- Marelli D.; Fu M.; Balazs P.; Majdak P. (2008) An Iterative Method for Approximating LTI Systems using Subbands. .
- Balazs P. (2008) A Systematic Study of Frame Sequence Operators and their Pseudoinverses. International Mathematical Forum, Bd. 3, S. 229-239.
- Balazs P. (2008) Matrix Representation of Operators using Frames. Sampling Theory in Signal and Image Processing (STSIP).
- Balazs P.; Kreuzer W.; Waubke H. (2007) A stochastic 2D-model for Calculating Vibrations in Random Layers. Journal of Computational Acoustics, Bd. Vol: 15, S. 271-283.
- Majdak P.; Laback B.; Balazs P. (2007) Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions. Journal of the Acoustical Engineering Society (Journal of the Acoustical Engineering Society, ed.), Bd. No. 7/8, S. 623-637.
- Balazs P. (2007) Frames and Finite Dimensionality: Frame Transformation, Classification and Algorithms (preprint online). .
- Balazs P.; Antoine J.P. (2007) Weighted and controlled frames. .
- Marelli D.; Balazs P. (2007) A Zero-Pole Vocal Track Model Estimation Method for Noisy Speech Signals. .
- Balazs P. (2007) Basic Definition and Properties of Bessel Multipliers. Journal of Mathematical Analysis and Applications, Bd. 325, S. 571-585.
- Balazs P.; Feichtinger H.G.; Hampejs M.; Kracher G. (2006) Double Preconditioning for Gabor Frames. IEEE Transactions on Signal Processing, Bd. 54 Nr. 12.
- Kreuzer W.; Balazs P.; Waubke H. (2006) A 3D-stochastic model for simulating the propagation of waves in soil layers. .
- Balazs P.; Kreuzer W.; Waubke H. (2006) Effiziente Implementierung eines stochastischen Modells zur Berechnung von Erschütterungen in Böden und Fluiden. .
- Blazas P. (2006) Frame multiplier and irregular Gabor filters with application in time frequency masking. .
Professional societies and activities
His hobbies are: music (playing the drums), baseball, games (especially role-playing games), and using the computer. You can view Peter Balazs's personal homepage here.
He was the leader of the WWTF project Frame Multiplier: Theory and Application in Acoustics from 2008 - 2011. This project aimed to establish new results in the mathematic theory of frame multipliers - to integrate them into efficient digital signal processing algorithms, and to make them available for use in "real world" acoustic applications. This international, multi-disciplinary and team-oriented project has allowed P. Balazs to form the group 'Mathematics and Acoustical Signal Processing’ at the Acoustics Research Institute, in cooperation with NuHaG Vienna (Hans G. Feichtinger), the group Laboratoire PRISM of the LMA / CRNS Marseille (Richard Kronland-Martinet) and the Signal Processing Group of the LATP, CNRS Marseilles (Bruno Torrésani) as well as the FYMA, UCL, Louvain-La-Neuve (Jean-Pierre Antoine).
Regular and irregular Gabor multiplier with application to psychoacoustic masking was a focus of Balazs, even after finishing his PhD. and has developed into other projects like MulAc. With the Laboratoire PRISM, the Acoustics Research Institute has successfully implemented a WTZ-funded exchange project on "Time-Frequency Representation and Perception" for 2006 and 2007.
Balazs has also worked as a software developer at our Institute. When starting at the Institute in 1999, he was working on implementations in S_TOOLS-STx Macro & C++, documentation, user interface development, database structure concepts, and more. After finishing his studies, he has been delving deeper into the mathematical and theoretical background of signal processing.
His other projects include investigating the phase in acoustics, helping with the mathematical background in other projects, and some programming. He has also worked (and co-managed) in the project, "Vibrations in soils and liquids - Transform method for layers with random properties", a project of Dr. Ing. habil. Waubke funded by the FWF. Since June 2005 P. Balazs has been a permanent staff member of the Acoustics Research Institute.
His interests include discrete Gabor analysis and Gabor theory in the finite discrete setting, which is an area of high interest for any application. In 2006 he publshed a numerically efficient way to find an approximate dual window (a window that gives perfect reconstruction). He is using a special structure of Gabor analysis and synthesis via "Double Preconditioning for Gabor Frames".