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Cellular neural networks with non-linear and delay-type template elements and non-uniform grids

✍ Scribed by Tamás Roska; Leon O. Chua


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
898 KB
Volume
20
Category
Article
ISSN
0098-9886

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✦ Synopsis


The cellular neural network (CNN) paradigm is a powerful framework for analogue non-linear processing arrays placed on a regular grid. In this paper we extend the current repertoire of CNN cloning template elements (atoms) by introducing additional non-linear and delay-type characteristics. In addition, architectures with non-uniform processors and neighbourhoods (grid sizes) are introduced. With this generalization, several well-known and powerful analogue array-computing structures can be interpreted as special cases of the CNN. Moreover, we show that the CNN with these generalized cloning templates has a general programmable circuit structure (a prototype machine) with analogue macros and algorithms. The relations with the cellular automaton (CA) and the systolic array (SA) are analysed. Finally, some robust stability results and the state space structure of the dynamics are presented.