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This page was last updated on 07.11.2007

A mathematican named Klein
Thought the Moebius band was divine.
Said he: If you glue
The edges of two,
You'll get a weird bottle like mine.

I was studying maths(scientific) and maths/physics (for teaching) at the university of Vienna, at the department of mathematics! I have finished my studies in maths with honors on 07.12.01. Do you want to read my master thesis (in german) "Polynomials over groups" or just the preface ? With the beginning of the summer semester 2002 I have started my PhD studies.

On 22th june, 2005 I have finished my PhD studies (also with distinction). My PhD thesis has the title "Regular and irregular Gabor multiplier with application to psychoacoustic masking" (Link). It was written at NuHAG.

The parts of maths, I'm most interested, are algebra, harmonic analysis and topology and combinations thereof (for example topological algebra or fourier analysis on groups ). With my job and my activities with computers a bigger interest in numerical and applied mathematics plus signal processing has evolved.

My master thesis is named "Polynome über Gruppen", polynomials over groups. It deals first with the concept of polynomials and polynomial functions on universal algebras. This concept are then used for goups and investigated there.

I have been working as a programmer and mathematician at the Acoustics Research Institute of the Austrian Academy of Science. Therefore I have come into closer contact with algorithmics, signal processing and acoustics. At the Lab I can now merge three of my main interests: acoustics (I am a musician and have worked as sound technican at some concerts), mathematics and computers.

From november 2003 - april 2004 I was working on my PhD thesis at the Groupe de Traitement du Signal , Laboratoire d'Analyse Topologie et Probabilités, LATP/ CMI, Université de Provence, Marseille and the Modélisation, Synthèse et Contrôle des Signaux Sonores et Musicaux of the LMA / CRNS Marseille. This was funded by the HASSIP network and also supported by the ARI.

In August 2005 I stayed at the Unité de physique théorique et de physique mathématique – FYMA with J.P. Antoine to work on the connection of weighted frames and frame multipliers (among other things.)

In march, may and june 2006 I was working in Marseille. In cooperation with NuHAG and Groupe de Traitement du Signal we haved worked on Gabor software. With the MSCSS and the ARI we have dealt with 'time-frequency representations and perception'. The WTZ has approved an exchange and cooperation-project with the same topic between this intsitutes.

CV : My CV.

Students :

Master theses:

G. Toupin,"Development of software applications for psychoacoustic experiments", Ecole Centrale Nantes; together with B. Laback, M-F. Lucas (2007)

PhD theses:

T. Necciari,"Etude du masquage sonore temps-fréquence et application à l'analyse-synthèse des sons" (Study of the time-frequency masking and application to the analysis-synthesis of sounds), Cotutelle internationale de these: University of Vienna, Université de Provence, Marseille. official advisors: W. Deutsch, R. Kronland-Martinet (2006-2009)

Publications :

Master Thesis:

P. Balazs; "Polynome über Gruppen (Polynomials over groups)"; master thesis, University of Vienna (2001), link

PhD thesis:

P. Balazs; "Regular and Irregular Gabor Multiplier with Application to Psychoacoustic Masking"; PhD thesis , University of Vienna (2005), link, Codes: here

Journal Publications:

P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; "Double Preconditioning for Gabor Frames”; IEEE Transactions on Signal Processing, Vol. 54, No.12, December 2006 (2006), preprint
P. Balazs, "Basic Definition and Properties of Bessel Multipliers", Journal of Mathematical Analysis and Applications, Volume 325, Issue 1 , 1 January 2007, Pages 571-585, (2007), doi:10.1016/j.jmaa.2006.02.012, preprint
P. Balazs, W. Kreuzer, H. Waubke, "A stochastic 2D-model for calculating vibrations in random layers", Journal of Computational Acoustics (2006, accepted)
P. Balazs, "Matrix Representation of Operators Using Frames", Sampling Theory in Signal and Image Processing (STSIP) (2007, accepted), preprint
P. Majdak, P. Balazs, B.Laback, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions", Journal of the Acoustical Engineering Society , Vol. 55, No. 7/8, July/August 2007, Pages 623 - 637 (2007)
P. Balazs, "Hilbert-Schmidt Operators and Frames - Classification, Approximation by Multipliers and Algorithms" , International Journal of Wavelets, Multiresolution and Information Processing, (2007, accepted) preprint, Codes and Pictures: here
P. Balazs, M. El-Gebeily, "A Systematic Study of Frame Sequence Operators and their Pseudoinverses", International Mathematical Forum, to appear (2007)

Preprints:

D. Marelli, P. Balazs, "A Zero-Pole Vocal Tract Model Estimation Method Accurately Reproducing Spectral Zeros", submitted (2007)
P. Balazs, B. Laback, G. Eckel, W. Deutsch, "Perceptual Sparsity Modeled by Simultaneous Masking", (2006) , preprint
P. Balazs, J.-P. Antoine, A. Gryboś, "Weighted and controlled frames", submitted (2007), preprint
P. Balazs, "Frames and Finite Dimensionality: Frame Transformation, Classification and Algorithms", preprint, Codes and Pictures: here
P. Balazs, H.G. Feichtinger, "Approximation of Matrices by Irregular Gabor Multipliers", in preparation (2007)

Conference publications (proceedings):

P. Balazs, A. Noll, W.A.Deutsch, B.Laback; "Concept of the integrated signal analysis software system STX"; Proceedings ÖPG 2000 CD (2000)
P. Balazs, H. Waubke, W.A. Deutsch; "Phasenanalyse mit akustischen Anwendungsbeispielen"; DAGA 2003
H. Waubke, P. Balazs; "Verwendung der zeitliche Rücktransformation zur Berücksichtigung der Kausalität in Spektren mehrdimensionaler Fourier Transformationen"; DAGA 2003
H. Waubke, P. Balazs, B. Jilge, W. Kreuzer; “Waves in Random Layers with Arbitrary Covariance Functions”, 12th International Congress on Sound and Vibration, Lisbon , abstract, (2005)
H. Waubke, W. Kreuzer, P.Balazs, "Ein 3D-Modell zur Berechnung der Ausbreitung von Erschütterungen in Bodenschichten", DAGA '06, 20.-23.März, Braunschweig (2006)
W. Kreuzer, H. Waubke, P.Balazs, "Effiziente Implementierung eines stochastischen Modells zur Berechnung von Erschütterungen in Böden und Fluiden", DAGA '06, 20.-23.März, Braunschweig (2006)
P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; "Double Preconditioning for the Gabor Frame Operator”; Proceedings ICASSP '06, May 14-19, Toulouse, DVD (2006)
W. Kreuzer, H. Waubke, P. Balazs, "A 3D-stochastic model for simulating vibrations in soil layers"; Proceedings ICSV13, 13th International Congress on Sound and Vibration, July 2-6, 2006 (2006)
P. Balazs, "Frame multiplier and irregular Gabor filters with application in time frequency masking"; Proceedings ICSV13, 13th International Congress on Sound and Vibration, July 2-6, 2006 (2006)
P. Majdak, P. Balazs, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions"; 122nd AES Conference, 05.05.2007 (2007)
D. Marelli, P. Balazs, "A Zero-Pole Vocal Track Model Estimation Method Accurately Reproducing Spectral Zeros"; 122nd AES Conference, 05.05.2007 (2007)

Talks at conferences and workshops (with published abstracts):

P.Balazs, A. Noll; "STX: an application for harmonic analysis in psychoacoustics" ; HASSIP kick-off meeting, Marseilles (2002)
P.Balazs, "Masking, Maths, Marseille - An introduction to the phase vocoder, psychoacoustic masking and frame multiplier"; HASSIP minischool on Non-linear and Adaptive Approximation, December 1-5, 2003
P. Balazs, A. Noll; "STX : the software system of the ARI"; HASSIP minischool Marseille and at LMA Marseille (01.04.2004);
P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; “Double Preconditioning of the Gabor Frame Operator“, HASSIP Statistics workshop, Cambridge, September 13-17., 2004
P. Balazs, R. Kronland-Martinet, "Calculating the phase of an acoustical signal from its time frequency representation", ÖPG 2004, abstract
P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; “Double Preconditioning of the Gabor Frame Operator“, HASSIP Workshop 'Application Of Time Frequency Analysis In Acoustics', April 26 to 29, 2005
P. Balazs, “Double Preconditioning for Gabor Frames“, ESI05: Special Semester "Modern Methods of Time-Frequency Analysis", Fourth Workshop on "Noncommutative Computational Harmonic Analysis", Monday, July 4. - Thursday, July 7. 2005, abstract
P.Balazs, "Gabor Multipliers with Application to Psychoacoustics", Workshop on "Time-frequency analysis and nonstationary filtering" at the Banff International Research Station (BIRS); Saturday, September 24. - Thursday, September 29. 2005, abstract , talk
P. Balazs, "Gabor Multipliers Applied to Masking, from Theory to Application", Réunion senSons, 5. Mai 2006, web-site
P. Majdak, P. Balazs, “Schnelle Messung der Außenohrübertragungsfunktionen mittels der Multiple Exponential Sweep Methode”, presented at 56. Jahrestagung der Österreichischen Physikalischen Gesellschaft (ÖPG), Graz, September 2006.Abstract and Presentation here.
P. Majdak, P. Balazs, “Schnelle Messung der Außenohrübertragungsfunktionen mittels der Multiple Exponential Sweep Methode” presented at Meeting of Austrian Section of Audio Engineering Society (AES), Vienna, October 2006 Abstract and Presentation here.
P. Balazs, H. G. Feichtinger, "Double preconditioning for Gabor frames", 3. Austrian Numerical Analysis Day, 26.04.2007 (2007)
P. Balazs, J.-P. Antoine, "Weighted and Controlled Frames", STROBL07, Trends in Harmonic Analysis, June 18-22, 2007, Strobl, Salzburg, AUSTRIA (18.06.2007)

Posters

P. Balazs, A. Noll; "Masking filter, phase vocoder and STX - an introduction"; Poster SAMPTA 2003, link
W.A. Deutsch, S. Moosmüller, A. Noll, P. Balazs & J. White; "What is S_Tools-STx? PC based Software Package for Intelligent Sound Processing"; Poster Eurospeech 2003
P. Balazs, "Regular and Irregular Gabor Multipliers with Application to Psychoacoustic Masking", Modern Methods of Time-Frequency Analysis, Strobl, 23. - 28. Mai, 2005.
P. Balazs, H.G. Feichtinger, M. Hampejs, G. Kracher; "Double Preconditioning for the Gabor Frame Operator”; ICASSP06, May 17, Toulouse (2006)
P. Soendergaard, B. Torrésani, P. Balazs, "The Linear Time Frequency Analysis Toolbox, version 1.0", STROBL07, Trends in Harmonic Analysis, June 18-22, 2007, Strobl, Salzburg, AUSTRIA (19.06.2007)

Technical Reports:

P. Balazs, "Remarks on the chapter 'Numerical algorithms for discrete Gabor expansions'" (2007)

Others

A. Noll, W. A. Deutsch, P. Balazs & J. White ; "Intelligent Sound Processing S_TOOLS - STX User's Guide" ; Acoustics Research Institute, Austrian Academy of Sciences Vienna. (2001), link
P. Balazs, W. A. Deutsch, A. Noll, J. Rennison; "STX User's Guide", Version 3.6.1 ; Acoustics Research Institute, Austrian Academy of Sciences Vienna. (2004), link
P. Balazs, W. A. Deutsch, A. Noll, J. Rennison, J. White, "STx Programmer Guide", Version: 3.6.2, link (2005)

Talks:

"Fourier Analysis"; talk at ARI, link
"MPEG-7 Today's Multimedia Standard"; AES Meeting (2002), link
"STX: an application for harmonic analysis in psychoacoustics" ; HASSIP meeting, Marseilles (2002), abstract
several others about STX (e.g. at Science Week 2001)
"Masking, Maths, Marseille - An introduction to the phase vocoder, psychoacoustic masking and frame multipliers for the HASSIP minischool 2003 in Marseille"; HASSIP minischool on Non-linear and Adaptive Approximation December 1-5, 2003 (see HASSIP )
"STX : the software system of the ARI"; HASSIP minischool Marseille
"Masking and frame multiplier ", (17.12.2003) 'seminaire de traitement du signal' CMI, Université de Provence (invited)
"Masking, Maths, Marseille and More" (18.03.2004); at the group "Modélisation, Synthèse et Contrôle des Signaux Sonores et Musicaux" of the LMA / CNRS Marseille (invited)
"STX: the software system of the ARI" (01.04.2004); LMA Marseille (invited)
"Frames and Frame Multiplier" (15.04.2004); LMA Marseille (invited)
“Double Preconditioning for the Gabor Frame Operator“, (25.01.2005), Mini Gabor-workshop Vienna, January 2005
"Regular And Irregular Gabor Multipliers With Application To Psychoacoustic Masking", (22.06.2005) PhD Defense, June 2005
"Regular And Irregular Gabor Multipliers With Application To Psychoacoustic Masking", (27.06.2005) Evaluation at the Austrian Academy of Sciences , June 2005
"Gabor Multipliers With Application To Psychoacoustic Masking", (15.11.2005) at the LMA, CNRS Marseille, November 2005 (invited)
"Frame Multiplier", (26.01.2006) Joint HASSIP/DFG-SPP1114 Workshop: "Recent Progress in Wavelet Analysis and Frame Theory", 23 - 26 January 2006, Bremen, Germany
"Matrix Representation of Operators Using Frames", Multiscale Methods, Sparse Decompositions and Parsimonious Statistics HASSIP06 workshop, GSF-IBB, Neuherberg Munich, 11-14 September 2006
"Masking, Maths, Marseille and marginally More", HASSIP RIP workshop seminaires "reseau europeen HASSIP", LATP, CMI Marseille, (28.09.2006), presentation (invited)
"Mathematics in Acoustics", Amadeé mini.workshop, Acoustics Research Institute, Vienna, 3.-5.October 2006 (03.10.2006), presentation (invited)
"Concept of a Time Frequency Masking Model based on Gabor filters and 2D convolution", Amadeé mini.workshop, Acoustics Research Institute, Vienna, 3.-5.October 2006 (04.10.2006), presentation (invited)
"STX: the software system of the ARI" (15.06.2007); Computational Gabor Analysis workshop (13.06.15.06.2007), NuHAG, Faculty of Mathematics (invited)
"Weighted and Controlled Frames"(06.08.2007), EPFL Lausanne (invited)
"Frame Multiplier and Irregular Gabor Filters with Application In Time Frequency Masking" (12.10.2007), Centre for Applied Hearing Research (invited)

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