Abstract
The Bayes optimal detector is derived for a class of linear-period-modulated (LPM) signals whose velocities and times of arrival are uncertain. All terms necessary for claculating the a posteriori probability-density function of the uncertain parameters are shown to be available as a natural by-product of the optimal detector computations. The processor structure derived is general in that a priori knowledge of velocity and time of arrival other than complete uncertainty can be taken into account.
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