An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals

被引：4
|
作者：
Ushirobira, Rosane [1 ,2 ]
Perruquetti, Wilfrid [1 ,3 ]
Mboup, Mamadou [1 ,4 ]
机构：
[1] Inria, Non A Team, Villeneuve Dascq, France
[2] Univ Bourgogne, Inst Mathemat Bourgogne CNRS, Dijon, France
[3] Ecole Cent Lille & CRIStAL CNRS, Villeneuve Dascq, France
[4] Univ Reims, CReSTIC, Reims, France
来源：
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2016年 / 30卷 / 12期
关键词：
parameter identification; differential algebra; sinusoidal wave; noise; EXTENDED KALMAN FILTER; ADAPTIVE NOTCH FILTER; FREQUENCY ESTIMATION; NOISE; IDENTIFICATION; ALGORITHM; TRACKING;
D O I：
10.1002/acs.2688
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a novel algebraic method is proposed to estimate amplitudes, frequencies, and phases of a biased and noisy sum of complex exponential sinusoidal signals. The resulting parameter estimates are given by original closed formulas, constructed as integrals acting as time-varying filters of the noisy measured signal. The proposed algebraic method provides faster and more robust results, compared with usual procedures. Some computer simulations illustrate the efficiency of our method. Copyright (c) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：1689 / 1713
页数：25
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