Detection of transient weak signal based on wavelet transform and singular value decomposition
XU Yan-ka · Zhongguo Shiyou Daxue xuebao. Ziran kexue ban · 2014
The wavelet-threshold method and the singular value decomposition( SVD) were introduced for detection of transient weak signal.Detailed aspects in the methods were discussed,including how to select the maximum decomposition level,threshold function,wavelet basis function,window length and the effective singular value number.A new detecting method integrating the wavelet method and the singular value decomposition was put forward.In the method,the transient weak signal is decomposed by db2 wavelet,and then the wavelet coefficients which are de-noised by singular value decomposition are used to reconstruct the signal.Simulation results demonstrate that the proposed method is efficient in distinguishing the transient weak signal from noise.By comparison,the proposed method outperforms the wavelet-threshold method and SVD.