Stationary Point Processes and Applications to Communications and Logistic Systems.
Annual status rept. 1 Jun 71-31 May 72,
MICHIGAN UNIV ANN ARBOR COMPUTER INFORMATION AND CONTROL ENGINEERING
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The research has proceeded along three distinct lines. 1 The behavior of closed loop control systems with randomly timed sampling within the feedback loop. Random sampling in a feedback context occurs in systems with a controller consisting of a time shared computer, control systems with imperfect samplers, and remote control whose feedback function is performed at a distance via a pulse coded transmission link. 2 Recovery of data from samples taken at random intervals, including time-multiplexed communication systems and real-time digital handling of data. 3 The applicability of martingale theory to stochastic point processes. In particular, the Doob decomposition for continuous-parameter supermartingales which is crucial to the modern theory of detection and estimation of stochastic signals corrupted by additive white noise. Author Modified Abstract
- Statistics and Probability