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A method for the approximate synthesis of cellular non‐linear networks—Part 2: Circuit reduction
Authors:Lorenzo Repetto  Marco Storace  Mauro Parodi
Abstract:In this paper, we face the problem of model reduction in piecewise‐linear (PWL) approximations of non‐linear functions. The reduction procedure presented here is based on the PWL approximation method proposed in a companion paper and resorts to a strategy that exploits the orthonormality of basis functions in terms of a proper inner product. Such a procedure can be favourably applied to the synthesis of the resistive parts of cellular non‐linear networks (CNNs) to reduce the complexity of the resulting circuits. As an example, the method is applied to a case study concerning a CNN for image processing. Copyright © 2003 John Wiley & Sons, Ltd.
Keywords:multi‐terminal non‐linear resistors  piecewise‐linear approximation  model reduction  cellular non‐linear networks
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