|Born||11 December 1970|
Tulln an der Donau, Austria
|Residence||Tulln an der Donau, Austria|
|Alma mater||University of Vienna|
|Fields||Mathematics, Signal processing, Acoustics|
|Institutions||Acoustics Research Institute, CNRS, Université catholique de Louvain|
|Doctoral advisor||Hans Georg Feichtinger|
Peter Balazs (born 11 December 1970 in Tulln an der Donau) is an Austrian mathematician working at the Acoustics Research Institute Vienna of the Austrian Academy of Sciences.
Tulln an der Donau is a historic town in the Austrian state of Lower Austria, the administrative seat of Tulln District. Because of its abundance of parks and gardens, Tulln is often referred to as Blumenstadt.
The Acoustics Research Institute (ARI) is a non-university research institution of the Austrian Academy of Sciences in Vienna. It was founded in 1972 as 'Kommission für Schallforschung', became a 'Forschungsstelle' in 1994 and since 2000 has the rank of an institute.
The Austrian Academy of Sciences is a legal entity under the special protection of the Republic of Austria. According to the statutes of the Academy its mission is to promote the sciences and humanities in every respect and in every field, particularly in fundamental research.
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".
Mathematics includes the study of such topics as quantity, structure, space, and change.
Physics is the natural science that studies matter, its motion, and behavior through space and time, and that studies the related entities of energy and force. Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves.
The University of Vienna is a public university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world. With its long and rich history, the University of Vienna has developed into one of the largest universities in Europe, and also one of the most renowned, especially in the Humanities. It is associated with 20 Nobel prize winners and has been the academic home to a large number of scholars of historical as well as of academic importance.
Peter Balazs has been part of the Acoustics Research Institute since 1999. His PhD thesis was written at NuHaG(Numerical Harmonic Analysis Group), Faculty of Mathematics, University of Vienna. The cooperation formed during his thesis also resulted in him becoming a fellow of the HASSIP (Harmonic Analysis and Statistics for Signal and Image Processing) EU network. He joined the LATP (Laboratoire d'Analyse, Topologie, Probabilités), CMI and LMA, CNRS Marseille from November 2003 to April 2004 and in March, May and June 2006. He also worked with the FYMA, UCL, Louvain-La-Neuve in August 2005.
For the project FLAME (Frames and Linear Operators for Acoustical Modeling and Parameter Estimation) Peter Balazs 2011 was honored with the high reputed Start-Preis.He is director of the Acoustics Research Institute since 2012.
The Start-Preis is the highest Austrian award for young scientists.
Peter Balazs has published 27 journal and 25 conference papers,a selection of which is presented below (in chronological order):
Hans Georg Feichtinger is an Austrian mathematician. He is Professor in the mathematical faculty of the University of Vienna. He is editor-in-chief of the Journal of Fourier Analysis and Applications (JFAA) and associate editor to several other journals. He is one of the founders and head of the Numerical Harmonic Analysis Group (NuHAG) at University of Vienna. Today Feichtinger's main field of research is harmonic analysis with a focus on time-frequency analysis.
A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing a sequence of values into components of different frequencies. This operation is useful in many fields, but computing it directly from the definition is often too slow to be practical. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse factors. As a result, it manages to reduce the complexity of computing the DFT from , which arises if one simply applies the definition of DFT, to , where is the data size. The difference in speed can be enormous, especially for long data sets where N may be in the thousands or millions. In the presence of round-off error, many FFT algorithms are much more accurate than evaluating the DFT definition directly. There are many different FFT algorithms based on a wide range of published theories, from simple complex-number arithmetic to group theory and number theory.
Time stretching is the process of changing the speed or duration of an audio signal without affecting its pitch.
A cepstrum is the result of taking the inverse Fourier transform (IFT) of the logarithm of the estimated spectrum of a signal. It may be pronounced in the two ways given, the second having the advantage of avoiding confusion with "kepstrum", which also exists. There is a complex cepstrum, a real cepstrum, a power cepstrum, and a phase cepstrum. The power cepstrum in particular has applications in the analysis of human speech.
Athanasios Papoulis was a Greek-American engineer and applied mathematician.
A sensor array is a group of sensors, usually deployed in a certain geometry pattern, used for collecting and processing electromagnetic or acoustic signals. The advantage of using a sensor array over using a single sensor lies in the fact that an array adds new dimensions to the observation, helping to estimate more parameters and improve the estimation performance. For example an array of radio antenna elements used for beamforming can increase antenna gain in the direction of the signal while decreasing the gain in other directions, i.e., increasing signal-to-noise ratio (SNR) by amplifying the signal coherently. Another example of sensor array application is to estimate the direction of arrival of impinging electromagnetic waves. The related processing method is called array signal processing. Application examples of array signal processing include radar/sonar, wireless communications, seismology, machine condition monitoring, astronomical observations fault diagnosis, etc.
A phase vocoder is a type of vocoder which can scale both the frequency and time domains of audio signals by using phase information. The computer algorithm allows frequency-domain modifications to a digital sound file.
Robert M. Haralick is Distinguished Professor in Computer Science at Graduate Center of the City University of New York (CUNY). Haralick is one of the leading figures in computer vision, pattern recognition, and image analysis. He is a Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and a Fellow and past president of the International Association for Pattern Recognition. Prof. Haralick is the King-Sun Fu Prize winner of 2016, "for contributions in image analysis, including remote sensing, texture analysis, mathematical morphology, consistent labeling, and system performance evaluation".
Thomas Shi-Tao Huang is a researcher and professor emeritus at the University of Illinois at Urbana-Champaign (UIUC). Huang is one of the leading figures in computer vision, pattern recognition and human computer interaction.
Bandwidth extension of signal is defined as the deliberate process of expanding the frequency range (bandwidth) of a signal in which it contains an appreciable and useful content, and/or the frequency range in which its effects are such. Its significant advancement in recent years has led to the technology being adopted commercially in several areas including psychacoustic bass enhancement of small loudspeakers and the high frequency enhancement of coded speech and audio.
MUSIC is an algorithm used for frequency estimation and radio direction finding.
Warped linear predictive coding is a variant of linear predictive coding in which the spectral representation of the system is modified, for example by replacing the unit delays used in an LPC implementation with first-order allpass filters. This can have advantages in reducing the bitrate required for a given level of perceived audio quality/intelligibility, especially in wideband audio coding.
Robert Jackson Marks II is an American electrical engineer. His contributions include the Zhao-Atlas-Marks (ZAM) time-frequency distribution in the field of signal processing, the Cheung–Marks theorem in Shannon sampling theory and the Papoulis-Marks-Cheung (PMC) approach in multidimensional sampling. He was instrumental in the defining of the field of computational intelligence and co-edited the first book using computational intelligence in the title. A Christian and an old earth creationist, he is a subject of the 2008 pro-intelligent design motion picture, Expelled: No Intelligence Allowed.
In estimation theory, estimation of signal parameters via rotational invariant techniques (ESPRIT) is a technique to determine parameters of a mixture of sinusoids in a background noise.
Bruce Raymond Davis is an electronic engineer, notable for his research in mobile communication systems, satellite communications, and high frequency data communication systems.
Time-domain harmonic scaling (TDHS) is a method for time-scale modification of speech, allowing the apparent rate of speech articulation to be changed without affecting the pitch-contour and the time-evolution of the formant structure. TDHS differs from other time-scale modification algorithms in that time-scaling operations are performed in the time domain.
Georgios B. Giannakis is a Greek–American Professor, engineer, and inventor. At present he is an Endowed Chair Professor of Wireless Telecommunications with the Department of Electrical and Computer Engineering, and Director of the Digital Technology Center at the University of Minnesota.
In music, the term chroma feature or chromagram closely relates to the twelve different pitch classes. Chroma-based features, which are also referred to as "pitch class profiles", are a powerful tool for analyzing music whose pitches can be meaningfully categorized and whose tuning approximates to the equal-tempered scale. One main property of chroma features is that they capture harmonic and melodic characteristics of music, while being robust to changes in timbre and instrumentation.
Mads Græsbøll Christensen is a Danish Professor in Audio Processing at Department of Architecture, Design & Media Technology, Aalborg University, where he is also head and founder of the Audio Analysis Lab which conducts research in audio and acoustic signal processing. Before that he worked at the Department of Electronic Systems at Aalborg University and has held visiting positions at Philips Research Labs, ENST, UCSB, and Columbia University. He has published extensively on these topics in books, scientific journals and conference proceedings, and he has given tutorials and keynote talks at major international scientific conferences.
Kasso Akochayé Okoudjou is a Professor of Mathematics at the University of Maryland, College Park. He works on pure and harmonic analysis, differential equations and fractals at the Norbert Wiener Center for Harmonic Analysis and Applications. He is the 2018 Martin Luther King Visiting Professor at Massachusetts Institute of Technology.