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Extended Kalman filter for frequency measurement based on two-order Taylor expansion |
(Institute of Microelectronics, Chinese Academy of Sciences, Beijing 100029, China) |
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Abstract In order to enhance the precision of the frequency estimation for the sine signal with occasionally changing frequency, a novel extended Kalman filter for frequency measurement was proposed, which used twoorder Taylor expansion to linearize the nonlinear system. The theoretical derivation of the new method was presented and the simulations were implemented. The precision of the frequency measurement in the different signal to noise ratio was assessed, and the convergence speed was calculated when the parameters of the sine signal changed. The results show that compared with the existing method useing the oneorder Taylor expansion, the frequency estimation error of the new method decreases by more than 10%, when the signal to noise ratio is between 1 dB and 30 dB. Especially, when the signal to noise ratio is between 5 dB and 20 dB, the frequency measurement error can decrease by more than 20%.
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