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An Adaptive Cellular Nonlinear Network and its Application

Koeppl, H. and Chua, L. O. (2007):
An Adaptive Cellular Nonlinear Network and its Application.
In: Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA), pages 15–18, Sept. 16-19, 2007, Vancouver, Canada., [Online-Edition: http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=417672...],
[Article]

Abstract

We propose the extension of the classical framework of Cellular Nonlinear Networks (CNN) to incorporate adaptivity of the cells. Adaptivity means that coupling template coefficients can evolve over time according to some specified rule. Here, the rule is described in terms of a differential equation for each template coefficient. It is proposed that this dynamics can be obtained from the gradient flow of an objective function imposed on the network. The extension is exemplified for a signal processing application, namely the principal subspace analysis (PSA). The application illustrates a top-down approach to self-organization from a global objective to local processing and adaptation rules.

Item Type: Article
Erschienen: 2007
Creators: Koeppl, H. and Chua, L. O.
Title: An Adaptive Cellular Nonlinear Network and its Application
Language: English
Abstract:

We propose the extension of the classical framework of Cellular Nonlinear Networks (CNN) to incorporate adaptivity of the cells. Adaptivity means that coupling template coefficients can evolve over time according to some specified rule. Here, the rule is described in terms of a differential equation for each template coefficient. It is proposed that this dynamics can be obtained from the gradient flow of an objective function imposed on the network. The extension is exemplified for a signal processing application, namely the principal subspace analysis (PSA). The application illustrates a top-down approach to self-organization from a global objective to local processing and adaptation rules.

Journal or Publication Title: Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA), pages 15–18, Sept. 16-19, 2007, Vancouver, Canada.
Divisions: 18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications
Date Deposited: 04 Apr 2014 12:47
Official URL: http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=417672...
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