Optimum choice of free parameter in orthonormal approximations

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 knowle...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1995-10, Vol.40 (10), p.1811-1813
Main Authors: Tanguy, N., Vilbe, P., Calvez, L.C.
Format: Article
Language:English
Subjects:
Applied sciences
Computer Science
Computer science
control theory
systems
Control theory. Systems
Engineering Sciences
Exact sciences and technology
Filtering
Finite wordlength effects
Integral equations
Micro and nanotechnologies
Microelectronics
Modelling and identification
Performance analysis
Polynomials
Signal analysis
Signal and Image processing
Upper bound
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Summary: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.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.467666