From the abstract: Recent work on optimum threshold signal detection in non-additive non-Gaussian noise is extended here to include in addition to the non-Gaussian field the often important situation where the fields received by an antenna array are not uniform over the array elements. Non-uniformity of the noise fields introduces spatial sampling (in addition to the usual temporal sampling), which can noticeably improve detection. Space-time detector structures are derived from a stochastic expansion of the log-likelihood ratio in both coherent and incoherent modes and are shown to be locally optimum Bayes (LOB). The optimum detection algorithms obtained are nonlinear adaptive including the associated processes of beamforming and beamsteering as well as fading and Doppler “smear”. Moreover, their locally asymptotically normal character is shown to provide their statistics under both null (“no signal present”) and alternative (“signal present”) hypotheses. Thus, performance measures, i.e., error probabilities, are obtained together with the concepts of minimum detectable signal and processing gain which are useful for systems comparison.