Abstract
A problem of great practical importance is the detection of distributed, fluctuating targets in reverberation limited, randomly time and space varying transmission media. An approach to this problem is formulated in terms of medium and target scattering functions. It is shown that the same problem formulation can be used for optimum target-parameter estimation. The target and medium scattering functions are stochastic Green's functions that completely determine the second order statistics of stochastic transmission channels and targets. The formulation of optimum detection and estimation problem in terms of scattering functions relates this problem to the theory of stochastic Green's functions. This relationship provides a fundamental and unified approach to the detection system optimization theory. This chapter discusses the concepts of random Green's functions and stochastic Green's function as originally defined by Adomian. It also discusses a number of specific random and stochastic Green's functions that are used for design of optimal detectors and estimators.
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