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oai:www.ideals.illinois.edu:2142/81036 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Do, Minh N. Lu, Yue 2015-09-25T20:09:21Z 2015-09-25T20:09:21Z 10000-01-01 2007 2007 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. Made available in DSpace on 2015-09-25T20:09:21Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3290305.pdf: 5978085 bytes, checksum: 1d94b23d4a2a3bb5408e02215d9ab085 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 82318 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 175 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/81036 (MiAaPQ)AAI3290305 eng Engineering, Electronics and Electrical Multidimensional Geometrical Signal Representation: Constructions and Applications text Electrical and Computer Engineering Electrical and Computer Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.