The combination of ocean acoustical physics and signal processing has been the central theme of our research over the last twenty years. In particular, the thrust of our research has been in matched field processing, waveguide invariant physics, time reversal acoustics, acoustic communications, sensitivity kernel analysis, and correlation based noised processing. Common to all these areas is the complexity of the medium so that our research goals have been to either overcome the downside of the complexity or, more interestingly, actually utilize propagation and noise complexity and diversity in the extraction of signal and environmental acoustic information. We present examples emphasizing this common theme.

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