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Title:Multidimensional Geometrical Signal Representation: Constructions and Applications
Author(s):Lu, Yue
Doctoral Committee Chair(s):Do, Minh N.
Department / Program:Electrical and Computer Engineering
Discipline:Electrical and Computer Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Engineering, Electronics and Electrical
Abstract:We propose a computational procedure to find all alias-free quantized sampling lattices with minimum sampling density for a given frequency support. Central to this algorithm is a novel condition linking alias-free sampling with the Fourier transform of the indicator function defined on the frequency support. We also derive simple closed-form expressions of these Fourier transforms for a fairly general class of support regions consisting of arbitrary N-dimensional polytopes. With these closed-form expressions, the search for desired alias-free sampling lattices becomes a purely analytical and computational testing procedure.
Issue Date:2007
Description:175 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
Other Identifier(s):(MiAaPQ)AAI3290305
Date Available in IDEALS:2015-09-25
Date Deposited:2007

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