TY - GEN

T1 - Parameter estimation for harmonics by the quadratic interpolation

AU - Wu, Rong Ching

AU - Yang, Tai Yi

AU - Ou, Ting Chia

PY - 2007

Y1 - 2007

N2 - This paper offers a complete method to find the exact amplitude, frequency, and phase of harmonics. A simulated signal is taken to fit the real one. When this simulated signal is equal to the real one, the parameters of the simulated signal are identical to the real values. This method includes three major processes, initial value setting, gradient method, and quadratic interpolation. In initial value setting, this process analyzes the scale data with the two highest amplitudes of each band, and the precise values will be found. The difference between simulated and practical signals could be expressed as a least mean square problem. The gradient method provides the initial condition for the quadratic interpolation. The minimum error search is accomplished by the quadratic interpolation, which could improve the search efficiency and reduce iteration time. After a few iterations, the method will obtain the exact harmonic parameters.

AB - This paper offers a complete method to find the exact amplitude, frequency, and phase of harmonics. A simulated signal is taken to fit the real one. When this simulated signal is equal to the real one, the parameters of the simulated signal are identical to the real values. This method includes three major processes, initial value setting, gradient method, and quadratic interpolation. In initial value setting, this process analyzes the scale data with the two highest amplitudes of each band, and the precise values will be found. The difference between simulated and practical signals could be expressed as a least mean square problem. The gradient method provides the initial condition for the quadratic interpolation. The minimum error search is accomplished by the quadratic interpolation, which could improve the search efficiency and reduce iteration time. After a few iterations, the method will obtain the exact harmonic parameters.

UR - http://www.scopus.com/inward/record.url?scp=78650759827&partnerID=8YFLogxK

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M3 - Conference contribution

AN - SCOPUS:78650759827

SN - 9780889867017

T3 - Proceedings of the IASTED Asian Conference on Modelling and Simulation

SP - 41

EP - 46

BT - Proceedings of the IASTED Asian Conference on Modelling and Simulation

T2 - IASTED Asian Conference on Modelling and Simulation

Y2 - 8 October 2007 through 10 October 2007

ER -