PROBABILITY GATE STATISTICS.
ARMY MEDICAL RESEARCH LAB FORT KNOX KY
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A probability gate presents a fixed but controllable transmission probability p to pulses arriving at its input. This report describes some statistical properties of the transformation imposed by a gate on the input distribution of interpulse intervals. The output distribution of interpulse intervals is derived in terms of the input density and p. A simple relation is shown to hold between the moment generating functions, and the first four output moments are derived in terms of the input moments and p. Certain restrictions on the kinds of obtainable output distributions are discussed. In particular, a condition is established which specifies when the output density is a replica of the input distribution. Author