Multidimensional Geometrical Signal Representation: Constructions and Applications

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Lu, Yue

Contributors dc:contributor

• Do, Minh N.

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3290305

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/81036