In this paper, we face the problem of the synthesis of cellular non-linear networks (CNNs) able to find approximate solutions of either partial differential equations or functional minimization problems. In particular, the paper deals with the approximate synthesis of the multi-terminal resistors that include all the non-linearities of such dynamic circuits. The proposed approximation method is based on the piecewise-linear (PWL) approach developed by Julian et al. in the last few years, but it resorts to a different definition of the inner product and hence to other PWL basis functions. The method is applied to a case-study concerning a CNN devoted to image processing.
A method for the approximate synthesis of cellular nonlinear networks - Part 1: Circuit definition
STORACE, MARCO;PARODI, MAURO
2003-01-01
Abstract
In this paper, we face the problem of the synthesis of cellular non-linear networks (CNNs) able to find approximate solutions of either partial differential equations or functional minimization problems. In particular, the paper deals with the approximate synthesis of the multi-terminal resistors that include all the non-linearities of such dynamic circuits. The proposed approximation method is based on the piecewise-linear (PWL) approach developed by Julian et al. in the last few years, but it resorts to a different definition of the inner product and hence to other PWL basis functions. The method is applied to a case-study concerning a CNN devoted to image processing.
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