Threshold Signal Reception in Electromagnetic Interference Environments. Part 4. An Initial Conceptual Study of Signal Design Against Nongaussian Interference

摘要

In this fourth part of a continuing study, the problem of possible further optimization of the critical case of weak signal (or threshold) detection by waveform selection, or 'signal design' is examined from a conceptual viewpoint. The basic approach starts with the relevant threshold performance measures and establishes an extremum functional based on the (null hypothesis, (i.e., H) (variance of the optimum processing algorithm with one or more (additive) constraints involving input signal structure. Both discrete and functional variational techniques provide formal solutions, when these exists. In the present cases of independent (i.e., white). noise samples it is the signal-dependent structures alone which separately support possible further optimization.