Abstract:

To deal with the problem that the data collector fails to obtain complete vibration data due to short circuit or environment changing or other reasons, a method combining compressed sensing and over complete dictionary is proposed. Firstly, lots of related vibration data are learned so as to obtain an over complete dictionary for the data remained to be recovered by K-singular value decomposition. Then a measurement matrix is constructed under the frame of compressed sensing. Finally, data recovery is implemented by regular orthogonal matching pursuit. Experiments of vibration database and practical aero engine vibration demonstrate the proposed method is superior to traditional methods based on discrete cosine transform or discrete Fourier transform and has certain robustness.