Paper Title:
The Stability and Perturbation of Bivariate Gabor Frames and Applications in Material Engineering
  Abstract

Material science broadly encompasses the fundamental study of solid matter with the goal of engineering new materials with superior properties, and ultimately enabling altogether new types of devices The window functions and bivariate Gabor frames are introduced. The existence of bivariate Gabor frames with compact support is discussed. Sufficient conditions for irregular bivariate Gabor system to be frames are presented by means of frame multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal bivariate vector-valued wavelets with compact support is proposed, and their properties are investigated. The pyramid decomposition scheme is derived based on a generalized multiresolution structure.

  Info
Periodical
Chapter
Chapter 6: Related Themes
Edited by
Qingzhou Xu
Pages
737-740
DOI
10.4028/www.scientific.net/AMR.721.737
Citation
D. Y. Yuan, "The Stability and Perturbation of Bivariate Gabor Frames and Applications in Material Engineering", Advanced Materials Research, Vol. 721, pp. 737-740, 2013
Online since
July 2013
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Price
$32.00
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