Singular value spectral decomposition and its application in acoustic vibration test data processing of a supersonic aircraft

In order to realize precise identification of acoustic vibration test data of a supersonic aircraft, a new filtering method combining phase space reconstruction and singular spectral decomposition was proposed. Firstly, the feasibility of this method was demonstrated through numerical simulation. Secondly, in order to separate the signal subspace and the noise subspace, the phase space reconstruction of the test data was conducted, and the attractor track matrix was also decomposed with singular value decomposition (SVD). Finally, aiming at shortages of the maximum difference spectrum theory, the concept of optimizing difference spectrum theory was presented, and the signal reconstruction was proposed on the basis of the peak position of the optimizing difference spectrum. Reconstruction results showed that the proposed method is suitable for processing the acoustic vibration test data of a supersonic aircraft, the result provided a good foundation for the precise description of a supersonic aircraft's flying state. ©, 2015, Chinese Vibration Engineering Society. All right reserved.