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Optimum choice of free parameter in orthonormal approximations

Abstract : This correspondence investigates the choice of a free parameter, usually related to time scale, that minimizes the error energy when approximating a given signal with some widely used orthonormal basis functions. The proposed solution is the hest that can be achieved with the limited required knowledge of the signal. It is appealing for experimental data for which no exact mathematical expression is available.
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Noël Tanguy, Pierre Vilbé, Léon-Claude Calvez. Optimum choice of free parameter in orthonormal approximations. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 1995, 40 (10), pp.1811-1813. ⟨10.1109/9.467666⟩. ⟨hal-00439477⟩

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