Unifying results in CNN theory using delta operator

Martin Hanggi; Hari C. Reddy; George S. Moschytz

Unifying results in CNN theory using delta operator

Martin Hanggi, Hari C. Reddy, George S. Moschytz

Swiss Federal Institute of Technology Zurich

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

By means of the delta operator, a new type of CNN, the (δ,c)-CNN, is introduced. It is a superclass of continuous-time (CT) and discrete-time (DT) CNNs with any saturation-, high-gain-, or hardlimiting sign-nonlinearity. It is shown that the (δ,c)-CNN allows continuous transition between different types of nonlinearities and between CT- and DT-CNNs, providing a unifying framework for CNN theory. In particular, the problem of optimally robust template design can be dealt with in a unified manner.

Original language	English
Pages (from-to)	V-547-V-550
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	5
State	Published - 1999
Externally published	Yes
Event	Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99 - Orlando, FL, USA Duration: 30 May 1999 → 2 Jun 1999

Cite this

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AB - By means of the delta operator, a new type of CNN, the (δ,c)-CNN, is introduced. It is a superclass of continuous-time (CT) and discrete-time (DT) CNNs with any saturation-, high-gain-, or hardlimiting sign-nonlinearity. It is shown that the (δ,c)-CNN allows continuous transition between different types of nonlinearities and between CT- and DT-CNNs, providing a unifying framework for CNN theory. In particular, the problem of optimally robust template design can be dealt with in a unified manner.

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JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99

Y2 - 30 May 1999 through 2 June 1999

ER -

Unifying results in CNN theory using delta operator

Abstract

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