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Title page for ETD etd-07162014-173530

Type of Document Dissertation
Author Davis, Jacqueline Teresa Haines
URN etd-07162014-173530
Title Spatio-temporal trade-off for quasi-uniform sampling of signals in evolutionary systems
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Akram Aldroubi Committee Chair
Doug Hardin Committee Member
Ed Saff Committee Member
Jerry Spinrad Committee Member
Larry Schumaker Committee Member
  • spatio-temporal trade-off
  • sampling theory
Date of Defense 2014-06-24
Availability unrestricted
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.

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