Adaptability Analysis of Common Measurement Matrices for Mechanical Vibration Signal

DOI

10.2991/cmfe-15.2015.174How to use a DOI?

Keywords

mechanical vibration signal; comprssed sensing; measurement matrices; sparse decomposition; reconstruction algorithm;

Abstract

In this paper, the construction method of common measurement matrices is studied, adaptability of common measurement matrices for mechanical vibration signal is analyzed. Typical measurement matrices are selected from commonly used measurement matrices, Gaussian random measurement matrix and Bernoulli random measurement matrix are chosen from totally random measurement ma-trices, Circulant measurement matrix and Toeplitz mea-surement matrix are selected from deterministic matrices, partially random Fourier measurement matrix and Hada-mard matrix are chosen from deterministic measurement matrices. The sensing performance of common measurement matrices for mechanical vibration signal is evaluated from the two perspective of reconstruction error and memory space. The simulation results show that two kinds of com-plete random matrices, Gaussian and Bernoulli matrices, can exactly reconstruct original vibration signal, but they occupy large memory space; deterministic matrices, Circulant and Toeplitz matrices, although need fewer memory space, obtained measurements which do not have information of global vibration signal lead to lower reconstruction results; partially random Fourier matrix is extremely coherent with sparse transforming base of vibration signal, so it has not exact result in the process of reconstructing original vibration signal, the requirement of Exponentiation of 2 seriously restrict its application.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Junfeng Guo
AU  - Jianxu Shi
AU  - Chunli Lei
AU  - Xingchun Wei
PY  - 2015/07
DA  - 2015/07
TI  - Adaptability Analysis of Common Measurement Matrices for Mechanical Vibration Signal
BT  - Proceedings of the International Conference on Chemical, Material and Food Engineering
PB  - Atlantis Press
SP  - 737
EP  - 741
SN  - 2352-5401
UR  - https://doi.org/10.2991/cmfe-15.2015.174
DO  - 10.2991/cmfe-15.2015.174
ID  - Guo2015/07
ER  -