Abstract
A signal that is generated by a moving source is spatially encoded by both the angular dependent Doppler shift in frequency and the angular dependent beam patterns of the transmitter. This information is preserved in the resulting reverberation and it has been theorized [R. Halley, “An Application of the Analysis of Reverberation from a Remote Pinging Searchlight Sonar,” TM 262, Navy Electron. Lab., San Diego, Calif. (1957)] that it can be recovered by means of a spectral analysis of the reverberation that is collected by an arbitrarily positioned receiver. To investigate this theory a bi-dynamic model of reverberation has been developed that is based on the Poisson distributed discrete scatterer model of Faure, Olshevski, and Middleton. The correlation function of the reverberation field was developed for various cases and the corresponding time-dependent power spectra have been computed. Certain of these results have been compared with data that were collected at sea.
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