DFT-based Estimation of Damped Oscillation Parameters in Low-Frequency Mechanical Spectroscopy

被引：75

作者：

Duda, Krzysztof ^{[1
]}

Magalas, Leszek B. ^{[2
]}

Majewski, Mariusz ^{[2
]}

Zielinski, Tomasz P. ^{[3
]}

机构：

[1] AGH Univ Sci & Technol, Dept Measurement & Instrumentat, PL-30059 Krakow, Poland

[2] AGH Univ Sci & Technol, Fac Met Engn & Ind Comp Sci, PL-30059 Krakow, Poland

[3] AGH Univ Sci & Technol, Dept Telecommun, PL-30059 Krakow, Poland

来源：

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT | 2011年 / 60卷 / 11期

关键词：

Damping estimation; discrete Fourier transform (DFT); frequency estimation; interpolated DFT; logarithmic decrement; mechanical spectroscopy; signal processing; INTERNAL-FRICTION; INTERPOLATION ALGORITHMS; LOGARITHMIC DECREMENT; RELAXATION; WINDOWS;

D O I：

10.1109/TIM.2011.2113124

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we analyze and compare the properties of different well-known and also new nonparametric discrete Fourier transform (DFT)-based methods for resonant frequency and logarithmic decrement estimation in application to mechanical spectroscopy. We derive a new DFT interpolation algorithm for a signal analyzed with Rife-Vincent class-I windows and also propose new formulas that extend Bertocco and Yoshida methods. We study errors of the resonant frequency and logarithmic decrement estimation in realistic conditions that include measurement noise and a zero-point drift. We also investigate the systematic errors of the estimation methods of interest. A nonlinear least squares time-domain parametric signal fitting is used to determine the boundaries of statistical efficiency in all tests.

引用

页码：3608 / 3618

页数：11

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