Detection Modelling of Unsaturated and Partially Saturated Ocean Acoustic Signals

The basic problem in ocean detection of narrowband acoustic signals is studied for unsaturated sound propagation, whereas considerable progress has been made towards modeling the more general case of partially saturated acoustic detection process. In this paper, a two-state, discrete-time Markov model is first derived for the unsaturated ocean acoustic detection process. Closed-form expressions for the probability mass functions (PMF's) of the number of time steps separating either two successive detections (interarrival time) or one detection and the first subsequent downcrossing (holding time) are presented. Another Markov model is next derived for partially saturated narrowband acoustic signal propagation, and closed-form expressions for the PMF's for the relevant interarrival and holding times are presented.