Identification for a signal composed of multiple sinusoids

X. Chen

doi:10.1049/iet-cta:20070197

Identification for a signal composed of multiple sinusoids

X. Chen

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A very simple on-line identification method for a measured periodic signal composed of multiple sinusoids is discussed. The bias of the signal and the multiple frequencies of the sinusoids are adaptively estimated based on an identity between a sinusoid and its second-order derivative. The amplitudes and the initial phases of the sinusoids are identified using the estimates of the bias and the multiple frequencies based on the state observer theory and state transformation. Simulation results show that the proposed method is effective.

Original language	English
Pages (from-to)	875-883
Number of pages	9
Journal	IET Control Theory and Applications
Volume	2
Issue number	10
DOIs	https://doi.org/10.1049/iet-cta:20070197
Publication status	Published - 2008 Oct 20

ASJC Scopus subject areas

Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Control and Optimization
Electrical and Electronic Engineering

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abstract = "A very simple on-line identification method for a measured periodic signal composed of multiple sinusoids is discussed. The bias of the signal and the multiple frequencies of the sinusoids are adaptively estimated based on an identity between a sinusoid and its second-order derivative. The amplitudes and the initial phases of the sinusoids are identified using the estimates of the bias and the multiple frequencies based on the state observer theory and state transformation. Simulation results show that the proposed method is effective.",

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AB - A very simple on-line identification method for a measured periodic signal composed of multiple sinusoids is discussed. The bias of the signal and the multiple frequencies of the sinusoids are adaptively estimated based on an identity between a sinusoid and its second-order derivative. The amplitudes and the initial phases of the sinusoids are identified using the estimates of the bias and the multiple frequencies based on the state observer theory and state transformation. Simulation results show that the proposed method is effective.

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