Accession Number : ADA455882


Title :   Multiscale System Theory


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS


Personal Author(s) : Benveniste, Albert ; Nikoukhah, Ramine ; Willsky, Alan S


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a455882.pdf


Report Date : 21 Feb 1990


Pagination or Media Count : 30


Abstract : In many applications, it is of interest to analyze and recognize phenomena occurring at different scales. The recently introduced wavelet transforms provide a time-and-scale decomposition of signals that offers the possibility of such an analysis. Until recently, however, there has been no corresponding statistical framework to support the development of optimal, multiscale statistical signal processing algorithms. A recent work of some of the present authors and co-authors proposed such a framework via models of stochastic fractals on the dyadic tree. In this paper we investigate some of the fundamental issues that are relevant to system theories on the dyadic tree, both for systems and signals.


Descriptors :   *WAVELET TRANSFORMS , ALGORITHMS , FRACTALS , STOCHASTIC PROCESSES , MODELS , PROCESSING , THEORY


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE