Abstract
The cepstrum (power spectrum of the log power spectrum) and the pseudo-autocovariance (Fourier cosine transform of the log power spectrum) were proposed as a method to detect an echo in a time series, and for possible application as a substitute for autocorrelation to determine the depth of a seismic or acoustic source. The cepstrum and pseudoautocovariance are much more tolerant of the shape of the power spectrum of the echoed signal than is the autocorrelation. Computer-generated examples of white and colored echoed Gaussian signals in Gaussian noise are given that exhibit this property. [Work supported in part by the U. S. Navy Bureau of Ships.]
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