A method for the approximate synthesis of cellular non-linear networks - Part 2: Circuit reduction

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 (C) 2003 John Wiley Sons, Ltd.