Basic definition and properties of Bessel multipliers
TLDR
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.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2007-01-01 and is currently open access. It has received 145 citations till now. The article focuses on the topics: Bessel polynomials & Bessel process.read more
Citations
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Journal Article
Multiple Exponential Sweep Method for Fast Measurement of Head-Related Transfer Functions
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.
Proceedings ArticleDOI
A fast Griffin-Lim algorithm
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.
Journal ArticleDOI
The linear time frequency analysis toolbox
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.
Book ChapterDOI
The Large Time-Frequency Analysis Toolbox 2.0
TL;DR: Main features of the second major release of the LTFAT toolbox, which includes generalizations of the Gabor transform, the wavelets module, the frames framework and the real-time block processing framework, are introduced.
Journal ArticleDOI
Weighted and controlled frames: Mutual relationship and first numerical properties
TL;DR: It is shown that controlled frames are equivalent to standard frames and so this concept gives a generalized way to check the frame condition, while offering a numerical advantage in the sense of preconditioning.
References
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Book
Adaptive Signal Processing
Bernard Widrow,Samuel D. Stearns +1 more
TL;DR: This chapter discusses Adaptive Arrays and Adaptive Beamforming, as well as other Adaptive Algorithms and Structures, and discusses the Z-Transform in Adaptive Signal Processing.
Book
An introduction to frames and Riesz bases
TL;DR: In this article, a generalized Shift-Invariant Systems in L2(Rd) is proposed for Gabor Frames in L 2(Z),L 2(0,L),CL.
Book
Foundations of Time-Frequency Analysis
TL;DR: The topics range from the elemen- tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita- tive methods in time-frequency analysis and the theory of pseudodifferential operators.
Book
A Course in Functional Analysis
TL;DR: In this article, an introductory text in functional analysis aimed at the graduate student with a firm background in integration and measure theory is presented, which helps the student to develop an intuitive feel for the subject.