In this thesis we study a numerical analysis problem motivated by the need to simulate an event such as an oil spill in a deep water environment. Numerical simulation can help to mitigate the disastrous effects of such events by aiding the management of risk assessment and recovery efforts.
However,...
Decimation and interpolation is shown to be an effective technique
for reducing the storage requirements for bandlimited time series.
Interpolation and decimation is theoretically developed using z-transform
theory and graphically interperted. A sequence of data acquired by sampling
a sonar signal is used to demonstrate the effects of decimation. Using...
The relation of the sampling theorem, developed by Shannon
for Information Theory, to the Whittaker interpolatory functions is
investigated and further extensions in this direction are suggested.
The theory of the Shannon sampling theorem with its application in
Information Theory is reviewed. The Kramer generalization of this
theorem is illustrated...
The purpose of this work is to broaden the theoretical foundations of interpolation of spatial data, by showing how ideas and methods from information theory and signal processing are applicable to the the work of geographers. Attention is drawn to the distinction between what we study and how we represent...
