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Estimation and Signal

Non-standard analysis and representation of reality

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Pages 519-536 | Received 29 Jul 2007, Accepted 30 Jul 2007, Published online: 06 Oct 2010
 

Abstract

The aim of this paper is to show that the representation with the help of non-standard analysis of a real phenomenon, presenting different observation scales, allows an important simplification of language. Indeed, it is convenient to have available the concept of infinitely small and infinitely large quantities in dealing with the macroscopic effects of microscopic phenomena. This is illustrated on two examples: the representation of two time scales systems and the representation of noise.

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