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2016•Optoelectronics Instrumentation and Data ProcessingOpen access

Current estimation of the derivative of a nonstationary process based on a recurrent smoothing spline

Елена Алексеевна Кочегурова, Ekaterina Gorokhova

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Abstract

A method of real-time reconstruction of the useful signal and its lower derivatives on the basis of a recurrent smoothing spline is presented. A calculation technique for a spline with the number of measurements at each segment greater than the number of nodes is given, and the spline coefficients are found by the variational approach.

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A method of real-time reconstruction of the useful signal and its lower derivatives on the basis of a recurrent smoothing spline is presented. A calculation technique for a spline with the number of measurements at each segment greater than the number of nodes is given, and the spline coefficients are found by the variational approach.

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Available abstract

A method of real-time reconstruction of the useful signal and its lower derivatives on the basis of a recurrent smoothing spline is presented. A calculation technique for a spline with the number of measurements at each segment greater than the number of nodes is given, and the spline coefficients are found by the variational approach.

Key concepts: Smoothing spline, Smoothing, Spline (mechanical), Thin plate spline, Hermite spline, M-spline, Mathematics, Applied mathematics

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