Hans G. Feichtinger, Karlheinz Gröchenig  Home/Search
Context Related
| univie.ac.at/NuHAG/FEI/fi...fgchui92.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: univie.ac.at/NuHAG/FEI/finalps... (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: We study series expansions of signals with respect to Gabor wavelets and the equivalent problem of (irregular) sampling of the short time Fourier tranform. Using Heisenberg group techniques rather than traditional Fourier analysis allows to design stable iterative algorithms for signal analysis and synthesis. These algorithms converge for a variety of norms and are compatible with the timefrequency localization of signals. (Update)
Cited by: More
Coherent States from Nonunitary Representations - Zimmermann (Correct)
An Exotic Minimal Banach Space of Functions - Feichtinger, Zimmermann (2002) (Correct)
A Pedestrian's Approach to Pseudodifferential Operators - Gröchenig (2005) (Correct)
Active bibliography (related documents): More All
1.9: Non-Orthogonal Wavelet and Gabor Expansions, and Group.. - Feichtinger, Gröchenig (Correct)
1.4: A Group-theoretical Approach to Gabor Analysis - Feichtinger, Strohmer.. (1995) (Correct)
0.7: Amalgam Spaces and Generalized Harmonic Analysis - Feichtinger (1997) (Correct)
Similar documents based on text: More All
0.8: Proc. Conf. Akademie - Wiss Spie (Correct)
0.3: Efficient Numerical Methods In Non-Uniform Sampling Theory - Feichtinger, Gröchenig.. (1995) (Correct)
0.3: A Szegö Type Theorem For Gabor-Toeplitz Localization Operators - Feichtinger, Nowak (Correct)
Related documents from co-citation: More All
4: Density theorems for sampling and interpolation in the Bargmann-Fock space (context) - Brekke, Seip - 1993
4: Harmonic analysis in phase space (context) - Folland - 1989
3: Classical Harmonic Analysis and Locally Compact Groups (context) - Reiter - 1968
BibTeX entry: (Update)
H.G. Feichtinger and K. Grochenig. Gabor wavelets and the Heisenberg group: Gabor Expansions and Short Time Fourier transform from the group theoretical point of view. In C.K. Chui, editor, Wavelets -- A Tutorial in Theory and Applications, pages 359--397. Academic Press, Boston, 1992. http://citeseer.ist.psu.edu/feichtinger92gabor.html More
@incollection{ feichtingergabor,
author = "H. G. Feichtinger and K. Gr{\"o}chenig",
title = "{G}abor Wavelets and the {H}eisenberg Group: {G}abor expansions and short time {F}ourier transform from the group theoretical point of view",
booktitle = "\rm \cite{chu:tutorial}",
pages = "359--397",
url = "citeseer.ist.psu.edu/feichtinger92gabor.html" }
Citations (may not include all citations):259 Theory of Communication (context) - Gabor - 1946
171 Singular integrals and differentiability properties of funct.. (context) - Stein - 1975
128 Harmonic Analysis in Phase Space (context) - Folland - 1989
123 time-frequency localization and signal analysis (context) - Daubechies
100 Gabor transforms by neural networks for image analysis and c.. (context) - Daugman - 1988
88 Signal Analysis (context) - Papoulis - 1977
83 Continuous and discrete wavelet transforms - Heil, Walnut - 1989
57 A class of nonharmonic Fourier series (context) - Duffin - 1952
50 Generalized Coherent States and Their Applications (context) - Perelomov - 1986
47 New thought on Besov spaces (context) - Peetre - 1976
47 Time-frequency localization operators: a geometric phase spa.. (context) - Daubechies - 1988
45 Painless nonorthogonal expansions (context) - Daubechies, Grossmann et al. - 1986
32 A simple Wilson orthonormal basis with exponential decay (context) - Daubechies, St - 1989
28 The generalized Gabor scheme of image representation using e.. (context) - Porat
28 Banach spaces related to integrable group representations an.. (context) - Feichtinger, Grochenig - 1989
28 Banach spaces related to integrable group representations an.. (context) - Feichtinger, Grochenig - 1989
22 Classical Harmonic Analysis and Locally Compact Groups (context) - Reiter - 1968
19 Iterative Reconstruction of multivariate band-limited functi.. (context) - Feichtinger, Grochenig
13 Noncommutative Harmonic Analysis (context) - Taylor - 1986
11 Gabor's expansion of a signal into Gaussian elementary signa.. (context) - Bastiaans - 1980
11 Radar ambiguity functions and group theory (context) - Auslander, Tolimieri - 1985
10 Describing functions: Atomic decompositions versus frames (context) - Grochenig - 1991
10 a new Segal algebra (context) - Feichtinger - 1981
10 Wilson bases and modulation spaces (context) - Feichtinger, Grochenig et al. - 1991
9 Continuity properties of the Gabor frame operator (context) - Walnut - 1991
9 Coherent states -- Applications in Physics and Mathematical .. (context) - Klauder - 1985
8 Gabor representation of generalized functions (context) - Janssen - 1981
8 Harmonic analysis on the Heisenberg nilpotent Lie group (context) - Schempp - 1986
7 CBMNSF Regional Conference Serie Applied Mathematic (context) - CBMS, Conference et al. - 1992
7 and coherent states (context) - Janssen - 1982
7 Error analysis in regular and irregular sampling theory - Feichtinger, Grochenig
7 the role of the Heisenberg group in harmonic analysis (context) - Howe - 1980
5 Modulation spaces on locally compact abelian groups - Feichtinger - 1984
4 Un espace de Banach de distributions temp'er'ees sur les gro.. (context) - Feichtinger - 1980
3 An elementary approach to the generalized Fourier transform (context) - Feichtinger - 1988
3 Frames in the Bargmann space of entire functions (context) - Daubechies - 1988
2 Lattice size estimates for Gabor decompositions (context) - Walnut
2 Non-Orthogonal wavelet and Gabor expansions (context) - Feichtinger, Grochenig - 1991
2 Constructive Function Theory (context) - Feichtinger - 1989
2 the sliding-window representation in digital signal proc ess.. (context) - Bastiaans - 1985
2 Can one evaluate Gabor Expansion using Gabor 's Iterative Al.. (context) - Genossar - 1990
2 Function Spaces and Applications (context) - Feichtinger, Grochenig et al. - 1988
2 Massively parallel implementation for real-time Gabor decomp.. (context) - Dufaux - 1991
2 A Riesz basis for Bargmann-Fock space related to sampling an.. (context) - Grochenig
1 Non-orthogonal expansions of signals and some of their appli.. (context) - Cenker, Feichtinger et al. - 1990
1 Methoden der ZeitFrequenz Analyse (context) - der Zeit, Report et al. - 1990
1 Shape from texture using Gabor wavelets (context) - Super, Bovik - 1991
1 Recent Advances in Fourier Analysis and Its Applications (context) - Feichtinger - 1990
1 Quelques m'ethodes temps--fr'equence et temps--'echelle en t.. (context) - Flandrin - 1990
1 Hankel forms on the Fock space (context) - Janson, Peetre et al. - 1987
1 A unified theory of short-time spectrum analysis and synthes.. (context) - Allen - 1977
1 and Gabor's expansion of a signal in Gaussian elementary sig.. (context) - Bastiaans, theorem - 1981
1 Local-Frequency description of optical signals and systems (context) - Bastiaans - 1988
1 Zeevi: The generalized Gabor scheme in biological and machin.. (context) - Porat - 1988
1 Quatieri: Short-Time Fourier Transform (context) - Nawab - 1988
1 Unions et intersections d'espaces L invariantes par translat.. (context) - Bertrandias, Datry et al. - 1978
1 Coherent Optical Computing and Neural Computer Architecture .. (context) - Schempp
1 Koharente Reihendarstellungen von Distributionen (context) - Cenker - 1989
1 Image representation with position-frequency localization (context) - Gertner, Zeevi - 1991
1 New York - Heidelberg - Berlin (context) - Reiter - 1989
1 Institut Mittag Leffler (context) - Seip, Wallsteen - 1990
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.univie.ac.at/NuHAG/FEI/finalps/): More
An Exotic Minimal Banach Space of Functions - Feichtinger, Zimmermann (2002) (Correct)
A First Survey of Gabor Multipliers - Feichtinger, Nowak (2002) (Correct)
New Results on Regular and Irregular Sampling Based on Wiener.. - Feichtinger (1990) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC