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Application of Genetic Algorithms in Sinewave Fitting

Janeiro, F. M. ; Ramos, P.M.

Trans. on Systems, Signals and Devices Vol. 4, Nº 4, pp. 563 - 574, December, 2009.

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Abstract
In this paper, two genetic algorithm variants are applied to sine
fitting of acquired waveforms, to solve the convergence problems
that are usually associated with sine fitting algorithms. The genetic
algorithms are used to find the sinewaves’ frequency, amplitude,
phase and DC component that best fit, in a least-squares
sense, the acquired samples. The robustness of these algorithms
to convergence problems is also demonstrated. The algorithm is
then successfully applied to experimentally acquired waveforms.