Title page for ETD etd-07132005-180936

Type of Document Master's Thesis
Author Champagne, Scott Jude
Author's Email Address schamp@math.lsu.edu
URN etd-07132005-180936
Title The Asymptotic Z-Transform
Degree Master of Science (M.S.)
Department Mathematics
Advisory Committee
Advisor Name Title
Frank Neubrander Committee Chair
Ricardo Estrada Committee Member
Scott Baldridge Committee Member
  • ritt's theorem
  • z-transform
  • causal sequences
  • asymptotic
Date of Defense 2005-07-12
Availability unrestricted
Sequences of numbers and transformations from sequences to functions have been studied extensively, including the multiplication of two sequences through convolution and the equivalent multiplication of functions. The focal points of this thesis are the convolution field of causal sequences and their Z-transforms. Classically, the treatment of the Z-transform has been limited to those causal sequences for which the power series has a nontrivial radius of convergence. In this thesis it is shown that the Z-transform can be extended to all causal sequences without compromising any of the operational properties of the classical Z-transform.
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