SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS

Dynamical sampling is a new type of sampling problem that results from sampling an evolving signal at various times and asks the question: when do coarse samplings taken at varying times contain the same information as a finer sampling taken at the earliest time? In other words, under what condition...

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Main Author:	Davis, Jacqueline Teresa Haines
Other Authors:	Jerry Spinrad
Format:	Others
Language:	en
Published:	VANDERBILT 2014
Subjects:	Mathematics
Online Access:	http://etd.library.vanderbilt.edu/available/etd-07162014-173530/

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spelling	ndltd-VANDERBILT-oai-VANDERBILTETD-etd-07162014-1735302014-07-26T05:18:11Z SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS Davis, Jacqueline Teresa Haines Mathematics Dynamical sampling is a new type of sampling problem that results from sampling an evolving signal at various times and asks the question: when do coarse samplings taken at varying times contain the same information as a finer sampling taken at the earliest time? In other words, under what conditions on an evolving system, can time samples be traded for spatial samples? In this dissertation, this problem is answered for evolution rules given by convolution and sampling sets that are quasi-uniform. The problem is studied in finite dimensions, infinite dimensions, and shift-invariant spaces. Jerry Spinrad Larry Schumaker Ed Saff Doug Hardin Akram Aldroubi VANDERBILT 2014-07-25 text application/pdf http://etd.library.vanderbilt.edu/available/etd-07162014-173530/ http://etd.library.vanderbilt.edu/available/etd-07162014-173530/ en restrictsix I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Vanderbilt University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Davis, Jacqueline Teresa Haines SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
description	Dynamical sampling is a new type of sampling problem that results from sampling an evolving signal at various times and asks the question: when do coarse samplings taken at varying times contain the same information as a finer sampling taken at the earliest time? In other words, under what conditions on an evolving system, can time samples be traded for spatial samples? In this dissertation, this problem is answered for evolution rules given by convolution and sampling sets that are quasi-uniform. The problem is studied in finite dimensions, infinite dimensions, and shift-invariant spaces.
author2	Jerry Spinrad
author_facet	Jerry Spinrad Davis, Jacqueline Teresa Haines
author	Davis, Jacqueline Teresa Haines
author_sort	Davis, Jacqueline Teresa Haines
title	SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
title_short	SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
title_full	SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
title_fullStr	SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
title_full_unstemmed	SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS
title_sort	spatio-temporal trade-off for quasi-uniform sampling of signals in evolutionary systems
publisher	VANDERBILT
publishDate	2014
url	http://etd.library.vanderbilt.edu/available/etd-07162014-173530/
work_keys_str_mv	AT davisjacquelineteresahaines spatiotemporaltradeoffforquasiuniformsamplingofsignalsinevolutionarysystems
_version_	1716709331907379200

SPATIO-TEMPORAL TRADE-OFF FOR QUASI-UNIFORM SAMPLING OF SIGNALS IN EVOLUTIONARY SYSTEMS

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