Space-time sampling and likelihood ratio processing in acoustic pressure fields

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Abstract
Space–time sampling plans based on a three-dimensional Whitaker sampling function are reviewed for single frequency and series band-limited time limited acoustic pressure fields. Following a brief discussion of probabilistic wave fields, likelihood ratio measurement procedure is outlined. Two examples are treated: the one-dimensional resolution problem for Gaussian signal in Gaussian noise, and the spacetime likelihood ratio processor for signal known exactly in Gauss and Markov-Gauss noise.