Master of Science (MS)
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.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Champagne, Scott Jude, "The asymptotic Z-transform" (2005). LSU Master's Theses. 3680.