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.
A method for the approximate synthesis of cellular nonlinear networks - Part 2: Circuit reduction
STORACE, MARCO;PARODI, MAURO
2003-01-01
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.
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