Author
Peter Balazs
Other affiliations: Acoustics Research Institute
Bio: Peter Balazs is an academic researcher from Austrian Academy of Sciences. The author has contributed to research in topics: Frame (networking) & Hilbert space. The author has an hindex of 30, co-authored 123 publications receiving 2527 citations. Previous affiliations of Peter Balazs include Acoustics Research Institute.
Papers published on a yearly basis
Papers
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TL;DR: It is shown that wavelet transforms, constant-Q transforms and more general filter banks may be modeled in the framework of nonstationary Gabor frames and given the explicit formula for the canonical dual frame for a particular case, the painless case.
149 citations
TL;DR: In this paper, the concept of Bessel multipliers is introduced, which unifies the approach used for Gabor multipliers for arbitrary analysis/synthesis systems, which form Bessel sequences, like wavelet or irregular Gabor frames.
145 citations
Journal Article•
TL;DR: In this paper, the multiple exponential sweep method (MESM) was developed to speed up the HRTF measurement by overlapping sweeps in an optimized way and retrieves the impulse responses of the measured systems.
Abstract: Presenting sounds in virtual environments requires filtering free-field signals with headrelated transfer functions (HRTF). HRTFs describe the filtering effects of pinna, head, and torso measured in the ear canal of a subject. The measurement of HRTFs for many positions in space is a time-consuming procedure. To speed up the HRTF measurement, the multiple exponential sweep method (MESM) was developed. MESM speeds up the measurement by overlapping sweeps in an optimized way and retrieves the impulse responses of the measured systems. MESM and its parameter optimization are described. As an example of an application of MESM, the measurement duration of an HRTF set with 1550 positions is compared to the unoptimized method. Using MESM, the measurement duration could be reduced by a factor of four without a reduction of the signal-to-noise ratio.
133 citations
01 Oct 2013
TL;DR: A new algorithm to estimate a signal from its short-time Fourier transform modulus (STFTM) shows not only significant improvement in speed of convergence but it does as well recover the signals with a smaller error than the traditional GLA.
Abstract: In this paper, we present a new algorithm to estimate a signal from its short-time Fourier transform modulus (STFTM). This algorithm is computationally simple and is obtained by an acceleration of the well-known Griffin-Lim algorithm (GLA). Before deriving the algorithm, we will give a new interpretation of the GLA and formulate the phase recovery problem in an optimization form. We then present some experimental results where the new algorithm is tested on various signals. It shows not only significant improvement in speed of convergence but it does as well recover the signals with a smaller error than the traditional GLA.
128 citations
TL;DR: The Linear Time Frequency Analysis Toolbox is a MATLAB/Octave toolbox for computational time-frequency analysis that provides the basic Gabor, Wilson and MDCT transform along with routines for constructing windows and routines for manipulating coefficients.
Abstract: The Linear Time Frequency Analysis Toolbox is a MATLAB/Octave toolbox for computational time-frequency analysis. It is intended both as an educational and computational tool. The toolbox provides the basic Gabor, Wilson and MDCT transform along with routines for constructing windows (filter prototypes) and routines for manipulating coefficients. It also provides a bunch of demo scripts devoted either to demonstrating the main functions of the toolbox, or to exemplify their use in specific signal processing applications. In this paper we describe the used algorithms, their mathematical background as well as some signal processing applications.
127 citations
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Book•
01 Jan 1971
TL;DR: The cohomology group assoicated with cusp forms and arithmetic Fuschian groups of the first kind was introduced in this paper..., where we have shown that it is possible to construct an algebraic algebraic curve and a complex multiplication of elliptic curves.
Abstract: * uschian groups of the first kind * Automorphic forms and functions * Hecke operators and the zeta-functions associated with modular forms * Elliptic curves * Abelian extensions of imaginary quadratic fields and complex multiplication of elliptic curves * Modular functions of higher level * Zeta-functions of algebraic curves and abelian varieties * The cohomology group assoicated with cusp forms * Arithmetic Fuschian groups
1,146 citations
1,008 citations
01 Jan 2016
TL;DR: A course in functional analysis is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading a course in functional analysis. As you may know, people have look numerous times for their favorite books like this a course in functional analysis, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they juggled with some harmful virus inside their desktop computer. a course in functional analysis is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers spans in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Merely said, the a course in functional analysis is universally compatible with any devices to read.
868 citations