Models for message transmission through a multi-channel satellite communications system
Jones, Charles Williams
Milch, Paul R.
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A satellite communication system has been proposed for use in improving naval communications. This system would feature random selection of channels by originators. For a message to be received successfully it must be alone on a channel during its transmission period. The number of transmissions by each unit and the total system transmission time must be minimized to prevent detection by enemy direction finding equipment. An expression is developed for the probability that a specified number of messages, s, of n original messages, will be received successfully after being trans mitted a number of times, m. An expression is derived for the probability that a specified number of messages, j, of n original messages, will be received successfully on the first transmission by some arbitrary time, t. A Monte Carlo computer simulation is conducted and is the basis for expressions for the maximum number of times any unit would have to transmit to be received successfully.
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