Recursive trigonometric interpolation algorithms
Artikel i vetenskaplig tidskrift, 2010

Two new recursive algorithms for the calculation of the coefficients of the trigonometric polynomial that is fitted to measured data in the least-squares sense in a window of a sufficiently large size that is moving in time are proposed. Both algorithms use the strictly diagonally dominant property of the information matrix for a sufficiently large window size. The first one is based on a recursive inversion of the information matrix and the second one uses a priori estimate of the coefficients of the polynomial obtained from the Kaczmarz projection method. The algorithms are computationally suitable for selection of the order of a trigonometric polynomial in each step of a moving window in real-time applications. The results are verified by simulations.

Författare

Alexander Stotsky

Chalmers, Signaler och system, System- och reglerteknik, Reglerteknik

Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

0959-6518 (ISSN)

Vol. 224 1 65-77

Ämneskategorier

Beräkningsmatematik

Fundament

Grundläggande vetenskaper