2026-09-20T03:26:17Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/80942 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Do, Minh N. Zhou, Jianping 2015-09-25T20:08:56Z 2015-09-25T20:08:56Z 10000-01-01 2005 2005 "This thesis focuses on the characterization, design, and applications of ""true"" multidimensional multirate systems. One key property of multidimensional multirate systems is perfect reconstruction, which guarantees the original input can be perfectly reconstructed from the outputs. The most popular multidimensional multirate systems are multidimensional filter banks, including critically sampled and oversampled ones. Characterizing and designing multidimensional perfect reconstruction filter banks have been challenging tasks. For critically sampled filter banks, previous one-dimensional theory cannot be extended to the multidimensional case due to the lack of a multidimensional factorization theorem. For oversampled filter banks, existing one-dimensional theory does not work in the multidimensional case. We derive complete characterizations of multidimensional critically sampled and oversampled filter banks and propose novel design methods for multidimensional filter banks. We illustrate our multidimensional multirate system theory by several image processing applications." Made available in DSpace on 2015-09-25T20:08:56Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3199201.pdf: 4538011 bytes, checksum: 1cd8d37d8dff8a58f0b979bec170cf2b (MD5) Previous issue date: 2005 Embargo set by: Seth Robbins for item 82224 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 171 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005. http://hdl.handle.net/2142/80942 (MiAaPQ)AAI3199201 eng Engineering, Electronics and Electrical *Multidimensional Multirate Systems: Characterization, Design, and Applications text Electrical Engineering Electrical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.