Abstract: Non stationary random signal can only transfer time domain method or frequency domain method if Fourier transformation is adopted.But wavelet transformation method can combine time domain and frequency domain together to analyze non stationary random signal.So wavelet transformation method is adopted to analyze non stationary random signal.The same blast vibration signals are analyzed by selecting different wavelet basis based wavelet transformation method and their difference have been stated.Decomposition and reconstruction for blast vibration signals through different wavelet base and reconstruction inaccuracy confirm optimum wavelet base.