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Version 1.11.1.

This page was last updated on 12.09.2014


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.

I have sucessfully applied for a WWTF-project with the title ' Frame Multiplier: Theory and Application in Acoustics'. This is an international, multi-disciplinary and team-oriented project has allowed me to form and head a small group 'Mathematics and Acoustical Signal Processing ’ at the Acoustics Research Institute.This project started in March 2008 and will last until August, 2011. In 2011 I also got the Recognition Award for Scientists from Lower Austria (see here).

In 2011 I won the START-price, the most prestigeous price for young scientists in Austria (see below):

In 2012 I was appointed the director of the Acoustics Research Institute.



START-Price FLAME

In 2011 I was granted the START-Price for the project 'Frames and Linear Operators for Acoustical Modeling and Parameter Estimation (FLAME)'. It will run from 2012 to 2018, providing a succesfull midterm evaluation.

Presse-Spiegel:
OEAW
University of Vienna
Article in Standard
APA
Falter

Die PresseP. Balazs, D. Stoeva, "Representation of the inverse of a multiplier as a multiplier", submitted, preprint on arxiv (2014)

Forschen und Entdecken



Curriculim Vitae : My CV (September 2011)


Students :


Publications :

(see also my ArXiv-page.)
  1. 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, pp. 4597-4610 (2006) (link to preprint)
  2. P. Balazs, "Basic Definition and Properties of Bessel Multipliers", Journal of Mathematical Analysis and Applications, Vol. 325, Issue 1 , 1 January 2007, pp. 571-585, (2007), doi:10.1016/j.jmaa.2006.02.012 (preprint on axiv)
  3. P. Majdak, P. Balazs, B.Laback, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions", Journal of the Audio Engineering Society , Vol. 55, No. 7/8, July/August 2007r, pp. 623 - 637 (2007) (link to preprint, for personal use only)
  4. P. Balazs, W. Kreuzer, H. Waubke, "A stochastic 2D-model for calculating vibrations in random layers", Journal of Computational Acoustics, Vol. 15, No. 3, pp. 271 - 283, September 2007
  5. P. Balazs, M. El-Gebeily, "A Systematic Study of Frame Sequence Operators and their Pseudoinverses", International Mathematical Forum Vol. 3, 2008, no. 5, pp.229 - 239, online journal edition, online paper
  6. P. Balazs, "Matrix Representation of Operators Using Frames", Sampling Theory in Signal and Image Processing (STSIP) Vol. 7, No. 1, Jan. 2008, pp. 39-54 (preprint on arxiv)
  7. P. Balazs, "Hilbert-Schmidt Operators and Frames - Classification, Approximation by Multipliers and Algorithms" , International Journal of Wavelets, Multiresolution and Information Processing, Vol. 6, No. 2, pp. 315 - 330, March 2008 (preprint on arxiv), Codes and Pictures: here
  8. P. Balazs, "Frames and Finite Dimensionality: Frame Transformation, Classification and Algorithms", Applied Mathematical Sciences, Vol. 2, no. 41-44, pp. 2131-2144, (2008) (preprint on arxiv), Codes and Pictures: here
  9. P. Balazs, B. Laback, G. Eckel, W. Deutsch, "Time-Frequency Sparsity by Removing Perceptually Irrelevant Components Using a Simple Model of Simultaneous Masking", IEEE Transactions on Audio, Speech and Language Processing, Vol. 18 (1) , pp. 34-49,  (2010)  (link to preprint)
  10. D. Marelli, P. Balazs, "On Pole-Zero Model Estimation Methods Minimizing a Logarithmic Criterion for Speech Analysis", IEEE Transactions on Audio, Speech and Language Processing, Vol. 18 (2), pp. 237 - 248 (2010)
  11. P. Balazs, J.-P. Antoine, A. Gryboś, "Weighted and Controlled Frames: Mutual Relationship and first Numerical Properties"International Journal of Wavelets, Multiresolution and Information Processing, Vol. 8 (1), pp. 109-132, DOI,  (2010) (preprint on arxiv)
  12. A. Rahimi, P. Balazs, "Multipliers for  p-Bessel sequences in Banach spaces", Integral Equations and Operator Theory,  Vol. 68 (2), 193-205, DOI: 10.1007/s00020-010-1814-7,  (2010) (preprint on arxiv)
  13. W. Kreuzer, H. Waubke, G. Rieckh, P. Balazs, "A 3D Model to Simulate Vibrations in a Layered Medium with Stochastic Material Parameters", Journal of Computational Acoustics, Vol. 19 (2), pp.139-154 (2011)
  14. B. Laback, P. Balazs, T. Necciari, S. Savel,  S. Ystad, S. Meunier, R. Kronland-Martinet, "Additivity of auditory masking for short Gaussian-shaped sinusoids"The Journal of the Acoustical Society of America. Vol. 129, pp. 888-897 (2011)
  15. P. Balazs, D. Stoeva, J. P. Antoine, "Classification of General Sequences by Frame-Related Operators", Sampling Theory in Signal and Image Processing (STSIP), Vol. 10 (1-2), pp. 151-170 (2011) (preprint on arxiv)
  16. J. P. Antoine, P. Balazs, "Frames and Semi Frames", Journal of Physics A: Mathematical and Theoretical, Vol. 44 (20) 205201 (2011) (preprint on arxiv)
  17. P. Balazs, C. Cabrelli, S. Heineken, U. Molter, "Frames by Multiplication", Current Development in Theory and Applications of Wavelets, Vol. 5 (2-3), pp. 165-186 (2011)  (preprint on arxiv)
  18. P. Balazs, M. Dörfler, N. Holighaus, F. Jaillet and G. Velasco, “Theory, Implementation and Application of Nonstationary Gabor Frames", Journal of Computational and Applied Mathematics,Vol. 236 (6), pp. 1481-1496 (2011), (link to preprint)
  19. E. Enzinger, P. Balazs, "Speaker Verification using Pole/Zero Estimates of Nasals", Analele Universitatii "Eftimie Murgu", Vol. 18 (2), pp. 33-44 (2011)
  20. P. Balazs, G. Rieckh, "Oversampling Operators: Frame Representation of Operator", Analele Universitatii "Eftimie Murgu", Vol. 18 (1), pp. 107-114 (2011)
  21. G. Rieckh, W. Kreuzer, H. Waubke, P. Balazs, "A 2.5D-Fourier-BEM-model for vibrations in a tunnel running through layered anisotropic soil", Engineering Analysis with Boundary Elements, Vol. 36, pp. 960-967 (2012)
  22. P. Balazs, D. Bayer, A. Rahimi, "Multipliers for continuous frames in Hilbert spaces", Journal of Physics A: Mathematical and Theoretical, Vol. 45(24), 244023 (2012)
  23. D. Stoeva, P. Balazs, "Invertibility of Multipliers"Applied and Computational Harmonic Analysis, Vol. 33 (2), pp. 292-299 (2012)
  24. P. Soendergaard, B. Torresani, P. Balazs, "The Linear Time Frequency Analysis Toolbox"International Journal of Wavelets, Multiresolution and Information Processing, Vol. 10 (4), 1250032 (2012) (link to preprint)
  25. J. P. Antoine, P. Balazs, "Frames, Semi-Frames, and Hilbert Scales", Numerical Functional Analysis and Optimization, Vol. 33(7-9), pp. 736-769 (2012) (preprint on arxiv)
  26. D. Stoeva, P. Balazs, "Canonical forms of unconditionally convergent multipliers",  Journal of Mathematical Analysis and Applications, Vol. 399, pp. 252-259 (2013) (preprint on arxiv)
  27. D. Stoeva, P. Balazs, "Detailed characterization of unconditional convergence and invertibility of multipliers", Sampling Theory in Signal and Image Processing (STSIP), Vol. 12 (2), pp. 87 - 125 (2013)  (preprint on arxiv)
  28. P. Balazs, M. Dörfler, M. Kowalski, B. Torrésani, "Adapted and adaptive linear time-frequency representations: a synthesis point of view"IEEE Signal Processing Magazine, Vol. 30 (6) (special issue: Time-Frequency Analysis and Applications), pp. 20-31 (2013)
  29. B. Laback, T. Necciari, P. Balazs, S. Savel, and S. Ystad, "Simultaneous masking additivity for short Gaussian-shaped tones: Spectral effects", The Journal of the Acoustical Society of America, Vol. 134 (2) (2013)
  30. P. Balazs, D. Stoeva, "Representation of the inverse of a multiplier"Journal of Mathematical Analysis and Applications, to appear (2014) (preprint on arxiv)
  1. T. Necciari, P. Balazs, R. Kronland-Martinet, S. Ystad, B. Laback, S. Savel, S. Meunier, "Auditory Time-Frequency Masking: Psychoacoustical Data and Application to Audio Representations", in Post proceedings of the 8th international Computer Music Modeling and Retrieval symposium (CMMR 2011). Bhubaneswar, India (Springer, in press) (2012)
  2. D. Stoeva and P. Balazs, "Riesz Bases Multipliers", in Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation, Birkhäuser, Vol. 236, Hedenmalm, H.; Kaashoek, M. A.; Montes-Rodríguez, A. & Treil, S. R. (Eds.) pp. 477-484 (2013)
  1. 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)
  2. D. Marelli,  M. Fu, P. Balazs, P and P. Majdak, "An Iterative Method for Approximating LTI Systems using Subbands", IEEE Conference on Acoustics, Speech, and Signal Processing, ICAASP08, March 30 - April 4, 2008
  3. P. Balazs, "Matrix Representation of Bounded Linear Operators By Bessel Sequences, Frames and Riesz Sequence", SAMPTA'09, Marseille, May 18-22, 2009
  4. F. Jaillet, P. Balazs, M. Dörfler, "Nonstationary Gabor Frames", SAMPTA'09, Marseille, May 18-22, 2009 
  5. D. Stoeva and P. Balazs, “Weighted Frames and Frame Multipliers”, Proceedings of the International Conference UACEG2009: Science & Practice, 29-31 October 2009
  6. P. Majdak, P. Balazs, W. Kreuzer  and M. Dörfler, “A Time-Frequency Method for Increasing the Signal-To-Noise Ratio in System Identification with Exponential Sweeps”, ICASSP 2011, Prague, 2011
  7. E. Enzinger, P. Balazs, D. Marelli and T. Becker,”A Logarithmic Based Pole-Zero Vocal Tract Model Estimation for Speaker Verification” ICASSP 2011, Prague, 2011
  8. M. Liuni, P. Balazs, A. Röbel, "Sound Analysis and Synthesis Adaptive in Time and Two Frequency bands", Proc. of the 14th Int. Conference on Digital Audio Effects (DAFx-11), Paris, France, September 19-23, 2011 
  9. T. Necciari, P. Balazs, R. Kronland-Martinet, S. Ystad, B. Laback, S. Savel and S. Meunier, "Perceptual optimization of Audio Representations Based on Time-Frequency Masking Data for Maximally-Compact Stimuli", in: Proceedings of the 45th AES conference on Applications of Time-Frequency Processing in Audio. Helsinki, Finland (2012)
  10. T. Necciari, P. Balazs, N. Holighaus, and P. Søndergaard, "The ERBlet Transform: An Auditory-Based Time-Frequency Representation with Perfect Reconstruction", accepted for: Proceedings of the 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP2013)
  11. N. Perraudin, N. Holighaus, P. Søndergaard, P. Balazs, "Gabor dual windows using convex optimization", Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  12. D. Bayer, P. Balazs, "(Non-)Density Properties of Discrete Gabor Multipliers",Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  13. P. Balazs, D. Stoeva, "A Review of the Invertibility of Frame Multipliers", Proceeedings of the 10th International Conference on Sampling theory and Applications (SAMPTA 2013)
  14. N. Perraudin, P. Balazs, P. Søndergaard, "A Fast Griffin-Lim Algorithm", 2013 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA 2013)
  15. Z. Průša, P. Søndergaard, N. Holighaus, P. Balazs, "LTFAT: A Matlab/Octave Toolbox for Sound Processing", Proceeedings of the 10th international Symposium on Computer Music Multidisciplinary Research (CMMR 2013)
  16. Z. Průša, P. Søndergaard, N. Holighaus, P. Balazs, "Real-Time Audio Processing in the Large Time Frequency Analysis Toolbox", Proceeedings of the 10th international Symposium on Computer Music Multidisciplinary Research (CMMR 2013)
  1.  P. Balazs, A. Noll, W.A.Deutsch, B.Laback; "Concept of the integrated signal analysis software system STX"; Proceedings ÖPG 2000 CD (2000)
  2.  P. Balazs, H. Waubke, W.A. Deutsch; "Phasenanalyse mit akustischen Anwendungsbeispielen"; DAGA 2003
  3. H. Waubke, P. Balazs; "Verwendung der zeitliche Rücktransformation zur Berücksichtigung der Kausalität in Spektren mehrdimensionaler Fourier Transformationen"; DAGA 2003
  4. 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)
  5. H. Waubke, W. Kreuzer, P. Balazs, "Ein 3D-Modell zur Berechnung der Ausbreitung von Erschütterungen in Bodenschichten", DAGA '06, 20.-23.März, Braunschweig (2006)
  6. 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)
  7. 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)
  8. 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)
  9. P. Majdak, P. Balazs, "Multiple Exponential Sweep Method for Fast Measurement of Head Related Transfer Functions"; 122nd AES Conference, 05.05.2007 (2007)
  10. D. Marelli, P. Balazs, "A Zero-Pole Vocal Track Model Estimation Method Accurately Reproducing Spectral Zeros"; 122nd AES Conference, 05.05.2007 (2007)
  11. B. Laback, P. Balazs, G. Toupin, T. Necciari, S. Savel, S. Meunier, S. Ystad and R. Kronland-Martinet, "Additivity of auditory masking using Gaussian-shaped tones", Acoustics'08, Paris, 29.06.-04.07.2008 (03.07.2008)
  12. F. Jaillet, M. Dörfler, P. Balazs and N. Engelputzeder, "On the Structure of the Phase around the Zeros of the Short-Time Fourier Transform", 35th German Convention on Acoustics (DAGA 2009), Rotterdam, 23.- 26. March 2009.
  13. M. Dörfler, P. Balazs and F. Jaillet, "Removing Components from a Time-Frequency Representation", 35th German Convention on Acoustics (DAGA 2009), Rotterdam, 23.- 26. March 2009.
  14. G. Rieckh, P. Balazs and W. Kreuzer, "Frames and Acoustic BEM", in: Proceedings of the DAGA 2010. Berlin, CD-ROM. (2010)
  15. G. Rieckh, P. Balazs, W. Kreuzer and H. Waubke, "Frames for acoustic BEM", in: Proceedings of the INTERNOISE 2010. Lisbon, CD-ROM. (2010)
  16. W. Kreuzer, P. Balazs and D. Marelli, "Vokaltraktmodellierung unter Verwendung eines Pol-Nullstellen Modells", in : Tagungsband DAGA 2011, Düsseldorf, 21.03-24.03.2011 (2011)
  17. Z. Prusa, P. Søndergaard and P. Balazs, "The Large Time Frequency Analysis Toolbox: Wavelets", OctConf 2013, Milano, Italy (2013)

Notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

My Erdös Number: 4 (Calculated with MathSciNet)

My h-index: 11 (manually corrected), 12 (Google Scholar), 7 (Scopus), 6 (Thomson).

Citations:
420 (Google Scholar), 121 (Scopus) , 83 (Thomson)

Some scientific links:

EMIS ELibEMS: Mathematical Journals

xxx Mathematics Archive

arXiv.org e-Print archive

Eric Weisstein's World of Mathematics


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Audio Engineering Society

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© Peter Balazs