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A SPECTRAL APPROACH TO THE STUDY OF PROPAGATION PHENOMENA IN CNNs
Author(s) -
CIVALLERI PIER PAOLO,
GILLI MARCO
Publication year - 1996
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199601/02)24:1<37::aid-cta902>3.0.co;2-s
Subject(s) - cellular neural network , scalar (mathematics) , extension (predicate logic) , spectral function , spectral analysis , computer science , artificial neural network , spectral method , algorithm , biological system , mathematics , topology (electrical circuits) , statistical physics , artificial intelligence , physics , mathematical analysis , geometry , combinatorics , quantum mechanics , spectroscopy , biology , programming language , condensed matter physics
The propagation phenomena occurring in cellular neural networks (CNNs) described by a one‐dimensional template are investigated using a spectral technique. The CNN is represented as a scalar Lur'e system to which a suitable extension of the describing function technique is applied for predicting the existence and characteristics of spatiotemporal periodic oscillations. It is shown that such a method yields results that are in good agreement with those observed by time simulation of the system.