TY - GEN

T1 - Parameter estimation for exponential signals by the quadratic interpolation

AU - Wu, Rong Ching

AU - Yang, Tai Yi

AU - Tsai, Jong Ian

AU - Ou, Ting Chia

PY - 2008

Y1 - 2008

N2 - This paper offers a complete method to find the exact frequency, damping, amplitude, and phase of the exponential molds. 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 steps, initial value setting, gradient method, and quadratic interpolation. In initial value setting, this method analyzes the mold parameter with the two highest amplitudes of each mold, 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 frequency, damping, amplitude, and phase of the exponential molds. 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 steps, initial value setting, gradient method, and quadratic interpolation. In initial value setting, this method analyzes the mold parameter with the two highest amplitudes of each mold, 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.

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M3 - Conference contribution

AN - SCOPUS:62449302451

SN - 9780889867321

T3 - Proceedings of the 4th IASTED Asian Conference on Power and Energy Systems, AsiaPES 2008

SP - 93

EP - 97

BT - Proceedings of the 4th IASTED Asian Conference on Power and Energy Systems, AsiaPES 2008

T2 - 4th IASTED Asian Conference on Power and Energy Systems, AsiaPES 2008

Y2 - 2 April 2008 through 4 April 2008

ER -