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Mathematical and numerical aspects of frame theory - Part 2
Multi angle
Authors : Feichtinger, Hans G. (Author of the conference)
CIRM (Publisher )
15-XX - Linear and multilinear algebra; matrix theory
41-XX - Approximations and expansions [For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx]
42-XX - Harmonic analysis on Euclidean spaces
46-XX - Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
CIRM (Publisher )
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Abstract :
Motivated by the spectrogram (or short-time Fourier transform) basic principles of linear algebra are explained, preparing for the more general case of Gabor frames in time-frequency analysis. The importance of the singular value decomposition and the four spaces associated with a matrix is pointed out, and based on this the pseudo-inverse (leading later to the dual Gabor frame) and the Loewdin (symmetric) orthogonalization are explained.
CIRM - Chaire Jean-Morlet 2014 - Aix-Marseille Université
MSC Codes : CIRM - Chaire Jean-Morlet 2014 - Aix-Marseille Université
15-XX - Linear and multilinear algebra; matrix theory
41-XX - Approximations and expansions [For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx]
42-XX - Harmonic analysis on Euclidean spaces
46-XX - Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/11/14 Conference Date : 21/10/14 Subseries : Research School arXiv category : Functional Analysis ; Mathematical Physics Mathematical Area(s) : Analysis and its Applications ; Mathematics in Science & Technology Format : MP4 (.mp4) - HD Video Time : 01:36:11 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-10-21_Feichtinger_part2.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair - Doctoral school: Computational harmonic analysis - with applications to signal and image processing / Chaire Jean-Morlet - Ecole doctorale : Analyse harmonique computationnelle - avec applications au traitement du signal et de l'imageEvent Organizers : Feichtinger, Hans G. ; Torrésani, Bruno ; Anthoine, Sandrine ; Chaux, Caroline ; Mélot, Clothilde Dates : 20/10/14 - 24/10/14 Event Year : 2014 Event URL : https://www.chairejeanmorlet.com/1250.html
Citation Data
DOI : 10.24350/CIRM.V.18613903Cite this video as: Feichtinger, Hans G. (2014). Mathematical and numerical aspects of frame theory - Part 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18613903 URI : http://dx.doi.org/10.24350/CIRM.V.18613903 |
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