Signal Detection in a Multi-User Random Access Channel

by Clifton C. Lovell

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Analysis of a problem relating to the design of a hardware system to allocate channel capacity among users. This report considers an ensemble of radio signals consisting of a number of individual signals of random duration turned on and off at random times and sharing a common radio band. A general expression is developed for the autocorrelation function of the ensemble from which the optimum receiver design can be deduced by well-known methods. Numerical examples are included of the particular case of a Poisson distribution of messages having fixed duration. Results are applicable to many modern communication problems.

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