Title :
Optimum choice of free parameter in orthonormal approximations
Author :
Tanguy, N. ; Vilbé, P. ; Calvez, L.C.
Author_Institution :
Lab. d´´Electron. et Syst. de Telecommun., Univ. de Bretagne Occidentale, Brest, France
fDate :
10/1/1995 12:00:00 AM
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 best 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
Keywords :
approximation theory; minimisation; signal processing; error energy minimization; free parameter; optimum choice; orthonormal approximations; orthonormal basis functions; Filtering; Finite wordlength effects; Integral equations; Performance analysis; Polynomials; Signal analysis; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
