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. 文中首先讨论了同态信号处理的基本思想,及计算机实现同态信号处理的方法,用理论振波的多次延迟叠加进行了数值模拟的检验,结果表明能明显得到各延迟信号的延迟时间。