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

HERTZ

Introduction,well-understood objects. A significant part of research has gone into the development of methods to find such representations. These methods have become important in many areas of our scientific and technological activity. They are used for instance in telecommunications, medical imaging, geophysics

ATOPY

抗体

Gabor systems and the Balian-Low Theorem, {..(. — .)}. with . = 1 forms an orthonormal basis for ..(ℝ) then The BLT was later extended from orthonormal bases to exact frames. This paper presents a tutorial on Gabor systems, the BLT, and related topics, such as the Zak transform and Wilson bases. Because of the fact that (.′)⋀(γ) = 2π.γĝ(γ)

Measured

A Banach space of test functions for Gabor analysis,lest time-frequency homogeneous Banach space of (continuous) functions. We also present other characterizations of .. turning it into a very flexible tool for Gabor analysis and allowing for simplifications of various proofs. A careful analysis of both the coefficient and the synthesis mapping in Ga

卡死偷电

Aspects of Gabor analysis on locally compact abelian groups,ly compact groups. First an uncertainty principle in terms of the short time Fourier transform is derived (Lieb’s inequalities). It captures the intuition that any signal occupies a region in the time-frequency plane of area at least one. Secondly, the Zak transform, introduced on locally compact ab

catagen

Horizon

Numerical algorithms for discrete Gabor expansions,r the design of efficient numerical algorithms. This presentation is the first systematic account of its kind. In particular, it is shown that different algorithms for the computation of the dual window correspond to different factorizations of the frame operator. Simple number theoretic conditions

描述

Oversampled modulated filter banks, the cost of greater computational complexity, oversampled FBs allowing an efficient implementation are of particular interest. In this chapter, we discuss oversampled DFT FBs and oversampled cosine modulated FBs (CMFBs) which allow efficient FFT- or DCT/DST- based implementations. We provide condit