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Information Entropy due to Multilevel Digitisation Phil Attard

Summary: Information Entropy due to Multi­level Digitisation
Phil Attard
Ian Wark Research Institute, University of South Australia, The Levels, SA 5095, Australia
(January 14, 1998. Submitted to Molec. Phys.)
Running title: Information Entropy of Signals
A generalised Markov superposition approximation is used for the higher
order correlation functions in a systematic expansion for the entropy. The
results are applicable to certain one dimensional problems, such as the
information content of time­series or signals, or possibly also to polymer
adsorption at a wall. The case of digitisation of the signal into many
levels is treated in detail, and the dependence of the information content
on sampling and digitisation is analysed.

In the early '70s John Barker and co­workers achieved a significant milestone in
statistical mechanics, namely the quantitative description of the macroscopic proper­
ties of argon calculated from its molecular parameters [1--3]. Amongst other things this
required going beyond the usual pair potential to include three body effects such as


Source: Attard, Phil - School of Chemistry, University of Sydney


Collections: Chemistry