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
Abstract
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.
1

INTRODUCTION
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