### Abstract

This paper discusses the online estimation problem of frequency, amplitude and initial phase of a measured sinusoidal signal by using the adaptive method and filter theory. The proposed method is based on an identity between a sinusoidal signal and its second order derivative. Firstly, the frequency is estimated by using the filters of the measured signal. Secondly, the derivative of the measured signal is estimated. Thirdly, by using the estimates of the frequency and the first order derivative of the signal, the amplitude is estimated. Finally, the initial phase is estimated. The estimation errors converge to zero exponentially. Simulation results show the effectiveness of the proposed new method. The robustness to measurement noises is also demonstrated by computer simulation.

Original language | English |
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Title of host publication | Proceedings of the SICE Annual Conference |

Pages | 513-516 |

Number of pages | 4 |

Publication status | Published - 2004 |

Event | SICE Annual Conference 2004 - Sapporo Duration: 2004 Aug 4 → 2004 Aug 6 |

### Other

Other | SICE Annual Conference 2004 |
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City | Sapporo |

Period | 04/8/4 → 04/8/6 |

### Fingerprint

### Keywords

- Adaptive method
- Identification
- Sinusoidal signal

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the SICE Annual Conference*(pp. 513-516). [WPI-8-1]

**Identification of a sinusoidal signal.** / Chen, Xinkai.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the SICE Annual Conference.*, WPI-8-1, pp. 513-516, SICE Annual Conference 2004, Sapporo, 04/8/4.

}

TY - GEN

T1 - Identification of a sinusoidal signal

AU - Chen, Xinkai

PY - 2004

Y1 - 2004

N2 - This paper discusses the online estimation problem of frequency, amplitude and initial phase of a measured sinusoidal signal by using the adaptive method and filter theory. The proposed method is based on an identity between a sinusoidal signal and its second order derivative. Firstly, the frequency is estimated by using the filters of the measured signal. Secondly, the derivative of the measured signal is estimated. Thirdly, by using the estimates of the frequency and the first order derivative of the signal, the amplitude is estimated. Finally, the initial phase is estimated. The estimation errors converge to zero exponentially. Simulation results show the effectiveness of the proposed new method. The robustness to measurement noises is also demonstrated by computer simulation.

AB - This paper discusses the online estimation problem of frequency, amplitude and initial phase of a measured sinusoidal signal by using the adaptive method and filter theory. The proposed method is based on an identity between a sinusoidal signal and its second order derivative. Firstly, the frequency is estimated by using the filters of the measured signal. Secondly, the derivative of the measured signal is estimated. Thirdly, by using the estimates of the frequency and the first order derivative of the signal, the amplitude is estimated. Finally, the initial phase is estimated. The estimation errors converge to zero exponentially. Simulation results show the effectiveness of the proposed new method. The robustness to measurement noises is also demonstrated by computer simulation.

KW - Adaptive method

KW - Identification

KW - Sinusoidal signal

UR - http://www.scopus.com/inward/record.url?scp=12744271945&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=12744271945&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:12744271945

SP - 513

EP - 516

BT - Proceedings of the SICE Annual Conference

ER -