*Multidimensional Multirate Systems: Characterization, Design, and Applications
Zhou, Jianping
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Permalink
https://hdl.handle.net/2142/80942
Description
Title
*Multidimensional Multirate Systems: Characterization, Design, and Applications
Author(s)
Zhou, Jianping
Issue Date
2005
Doctoral Committee Chair(s)
Do, Minh N.
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
"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."
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