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A method for the approximate synthesis of cellular non‐linear networks—Part 2: Circuit reduction
Author(s) -
Repetto Lorenzo,
Storace Marco,
Parodi Mauro
Publication year - 2003
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.233
Subject(s) - orthonormality , reduction (mathematics) , piecewise linear function , resistive touchscreen , computer science , electronic circuit , nonlinear system , algorithm , mathematics , mathematical optimization , orthonormal basis , engineering , mathematical analysis , physics , geometry , quantum mechanics , electrical engineering , computer vision
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.