Shaping filters can be used in the analysis of physical systems because they allow a system with a random input to be replaced by an augmented system (the original system plus the shaping filter) excited only by the white noise. This paper shows how shaping filters can be used to represent various realistic aircraft evasive maneuver policies. The shaping filter approach leads to efficient methods of performance evaluation without resorting to Monte Carlo techniques. The effectiveness of various realistic maneuver policies are compared in a simplified example in which the pursuing missile employs proportional navigation guidance.
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Paul Zarchan (1979) studied this question.