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Data compression collecting method for vibration signals based on optimal deterministic measurement matrix
Guo, Junfeng; Dang, Jiangting
刊名Zhendong yu Chongji/Journal of Vibration and Shock
2019-04-15
卷号38期号:7页码:195-203
关键词Data acquisition Data compression Digital storage Iterative methods Signal sampling Singular value decomposition Contraction algorithms Measurement matrix Mechanical vibration signals Mutual coherence Nyquist sampling theorem Reconstruction accuracy Singular value decomposition algorithms Vibration signal
ISSN号10003835
DOI10.13465/j.cnki.jvs.2019.07.028
英文摘要Aiming at frequency bandwidth of mechanical vibration signals being getting wider and wider, when using Nyquist sampling theorem for data collection, a huge amount of vibration data are acquired to bring difficulties of storage, transmission and processing. Here, combining the compression sensing theory, a data compression collecting method for vibration signals based on optimal deterministic measurement matrix was proposed. The core of this method was to design a measurement matrix. Firstly, based on Toeplitz matrix, an orthogonal symmetric Toeplitz (OST) measurement matrix model was established. Secondly, in order to reduce the mutual coherence between the measurement matrix and sparse bases, the threshold iterative contraction algorithm was used for OST matrix iteration to get a modified OST matrix. Finally, to improve the column independence of the OST matrix, the singular value decomposition (SVD) algorithm was used to optimize the OST matrix to acquire the optimal deterministic measurement matrix. The simulation results showed that compared with Toeplitz matrix, Gaussian one and the OST one before optimization, the proposed optimal deterministic measurement matrix has higher reconstruction accuracy when reconstructing vibration signals, and it is easy to implement in engineering. © 2019, Editorial Office of Journal of Vibration and Shock. All right reserved.
语种中文
出版者Chinese Vibration Engineering Society
内容类型期刊论文
源URL[http://ir.lut.edu.cn/handle/2XXMBERH/113938]  
专题机电工程学院
作者单位School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式
GB/T 7714
Guo, Junfeng,Dang, Jiangting. Data compression collecting method for vibration signals based on optimal deterministic measurement matrix[J]. Zhendong yu Chongji/Journal of Vibration and Shock,2019,38(7):195-203.
APA Guo, Junfeng,&Dang, Jiangting.(2019).Data compression collecting method for vibration signals based on optimal deterministic measurement matrix.Zhendong yu Chongji/Journal of Vibration and Shock,38(7),195-203.
MLA Guo, Junfeng,et al."Data compression collecting method for vibration signals based on optimal deterministic measurement matrix".Zhendong yu Chongji/Journal of Vibration and Shock 38.7(2019):195-203.
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