عنوان

Gabor Analysis and Algorithms

شابک

9781461220169

شابک

9781461273820

شماره

b402853

عنوان اصلي

Gabor Analysis and Algorithms

نام عام مواد

[Book]

ساير اطلاعات عنواني

Theory and Applications /

نام نخستين پديدآور

edited by Hans G. Feichtinger, Thomas Strohmer.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Applied and Numerical Harmonic Analysis

متن يادداشت

1 The duality condition for Weyl-Heisenberg frames -- 2 Gabor systems and the Balian-Low Theorem -- 3 A Banach space of test functions for Gabor analysis -- 4 Pseudodifferential operators, Gabor frames, and local trigonometric bases -- 5 Perturbation of frames and applications to Gabor frames -- 6 Aspects of Gabor analysis on locally compact abelian groups -- 7 Quantization of TF lattice-invariant operators on elementary LCA groups -- 8 Numerical algorithms for discrete Gabor expansions -- 9 Oversampled modulated filter banks -- 10 Adaptation of Weyl-Heisenberg frames to underspread environments -- 11 Gabor representation and signal detection -- 12 Multi-window Gabor schemes in signal and image representations -- 13 Gabor kernels for affine-invariant object recognition -- 14 Gabor's signal expansion in optics.

بدون عنوان

0

متن يادداشت

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 occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher time-frequency density.

شماره استاندارد بين المللي کتاب و موسيقي

9781461273820

عنوان

Springer eBooks

موضوع مستند نشده

Engineering mathematics.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Feichtinger, Hans G.

مستند نام اشخاص تاييد نشده

Strohmer, Thomas.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301082400.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y