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Titlebook: Gabor Analysis and Algorithms; Theory and Applicati Hans G. Feichtinger,Thomas Strohmer Book 1998 Springer Science+Business Media New York

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書目名稱Gabor Analysis and Algorithms
副標(biāo)題Theory and Applicati
編輯Hans G. Feichtinger,Thomas Strohmer
視頻videohttp://file.papertrans.cn/381/380312/380312.mp4
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Gabor Analysis and Algorithms; Theory and Applicati Hans G. Feichtinger,Thomas Strohmer Book 1998 Springer Science+Business Media New York
描述In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by time-and frequency- shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated time-depending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi- cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposal-as far as I know there were no seri- ous attempts to implement it for communication purposes in practice, and in fact, at the critical time-frequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] . . . ) but it does not constitute what we now call a frame, leading to numerical insta- bilities. The Balian-Low theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occ
出版日期Book 1998
關(guān)鍵詞Analysis; Signal; algorithm; algorithms; calculus; detection; harmonic analysis; image processing; numerical
版次1
doihttps://doi.org/10.1007/978-1-4612-2016-9
isbn_softcover978-1-4612-7382-0
isbn_ebook978-1-4612-2016-9Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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Multi Degrees of Freedom Systemshed subspace detectors for this problem and discuss their optimality. We investigate the sensitivity of matched subspace detectors to mismatch in the model parameters. Motivated by the sensitivity analysis, we develop robust matched subspace detectors and analyze their performance.
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Oversampled modulated filter banks,ions for perfect reconstruction and a frame-theoretic analysis. We show that, concerning both perfect reconstruction properties and frame-theoretic properties, oversampled cosine modulated filter banks are closely related to DFT filter banks with twice the oversampling factor.
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Gabor representation and signal detection,hed subspace detectors for this problem and discuss their optimality. We investigate the sensitivity of matched subspace detectors to mismatch in the model parameters. Motivated by the sensitivity analysis, we develop robust matched subspace detectors and analyze their performance.
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