Naslov
An algebraic approach to on-line signal denoising and derivatives estimation

Autori
Kasać, Josip ; Majetić, Dubravko ; Brezak, Danko

Izvornik
Journal of the franklin institute-engineering and applied mathematics (0016-0032) 355 (2018), 15; 7799-7825

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Algebraic estimation ; Differentiators ; Signal denoising ; Linear systems ; Continuous-time filters

Sažetak
In this paper, a new algebraic approach to the on-line signal derivatives estimation is proposed. The proposed approach is based on the conversion of the truncated Taylor series expansion to the set of linearly independent equations regarding the signal derivatives. The nonhomogeneous parts of the obtained set of equations are convolution integrals, which can be transformed to the stable linear state-space filter realization. The proposed algebraic estimator provides stable convergence without the need for periodic re-initialization, as in the case of the conventional algebraic estimators. In contrast to the Taylor series-based tracking differentiators, the proposed estimator also provides an estimation of the arbitrary number of the higher-order signal derivatives. In addition, the tuning of the estimator parameters does not depends on the filter dimension. The efficiency of the proposed estimator is illustrated by the simulation examples and experimental results related to the monitoring of the surgical drilling process.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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