Abstract:In this paper, the recovery of transient signals embedded in noise is studied. It is noticed that there is different feature between the transient signal s Gabor coefficients and the noise s Gabor coefficients distributed in time-frequency plane, the Gabor series method is presented for recovering transient signals embedded in noise in terms of hypothesis test theory. The computer simulation is implemented for exponential transient signal. This method is also used to process real-life signals.