Constrained total least squares method using TDOA measurements for jointly estimating acoustic emission source and wave velocity. (September 2021)

• Record Type: Journal Article
• Authors: Zhou, Zilong; Rui, Yichao; Cai, Xin; Lu, Jianyou
• Is Part Of: Measurement. Volume 182(2021)
• Publication Date: 2021-09
• Subjects: Acoustic emission -- Source localization -- Constrained total least squares -- Unknown wave velocity -- Time-difference-of-arrival; AE acoustic emission -- TDOA time-difference-of-arrival -- CRLB Cramér–Rao lower bound -- LS least squares -- CTLS constrained total least squares -- USBM United States Bureau of Mines method -- ESX extended spherical intersection method -- CTD complete TDOA measurements method; Weights and measures -- Periodicals; Measurement -- Periodicals; Measurement; Weights and measures; Periodicals; 530.8
• DOI: 10.1016/j.measurement.2021.109758
• Languages: English
• ISSNs: 0263-2241

Abstract

Highlights: Without measuring wave velocity, the influence of velocity error is eliminated. Use of total least squares eliminates accumulation error in system matrix. Quadratic constraint is fully used to further improve positioning accuracy. A good tradeoff between location accuracy and efficiency is achieved. Abstract: The measurements of time-difference-of-arrival (TDOA) and wave velocity have significant influence on localization accuracy. To reduce the loss in localization accuracy induced by TDOA noises and velocity errors, the constrained total least squares (CTLS) method using the TDOA measurements for jointly estimating AE source and wave velocity is proposed in this paper. The proposed method exploits the CTLS principle of unknown wave velocity, and the Newton's iterative method is combined to give the optimal solution. The simulation tests are implemented to quantitatively analyze the performance of the proposed method, and the results show that the location accuracy and velocity accuracy of the proposed method are optimal and can attain the Cramér–Rao lower bound (CRLB). In addition, the experiment results of pencil-lead breaks further indicate that the proposed method can achieve higher positioning accuracy than traditional methods with a relatively low computational cost.