Method for nonlinear transfer function approximation
Sergey L. Loyka
Abstract
Sergey L. Loyka
Abstract
The application of the genetic algorithm to the approximation of nonlinear transfer functions is considered. It is shown that the GA approximation method gives better accuracy than the classical Chebyshev approximation, which is sometimes considered to be the best available method for the minimax criterion. Other advantages of the proposed method include the ability to carry out a global search for the optimal solution and easy implementation of various approximation criteria.
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The application of the genetic algorithm to the approximation of nonlinear transfer functions is considered. It is shown that the GA approximation method gives better accuracy than the classical Chebyshev approximation, which is sometimes considered to be the best available method for the minimax criterion. Other advantages of the proposed method include the ability to carry out a global search for the optimal solution and easy implementation of various approximation criteria.
Key concepts: Approximation theory, Minimax, Minimax approximation algorithm, Chebyshev filter, Function approximation, Equioscillation theorem, Nonlinear system, Approximation algorithm