Abstract: The basic theory of convolution homomorphic signal processing and method of its computer realization are discussed in this paper. The dada processing of the reverberative theoretical signals verifies that this method works well in distinguishing delayed signals. Seismic records of Luquan earthquake which occurred in Yunnan province on April 18,1985 are analysed,and the result is pretty good. Convolution homomorphic signal processing seems to be an effective method for distinguishing the delayed signals from the reverberant signal.