Simulation Study of Short Message Burst Signals Based on Poisson Distribution

The simulation of the random characteristics about short message burst signals is an important method to test the receiving performance, while the key is to find the random model of burst signals. This paper proposes a probability model of short burst signals based on the Poisson distribution by using the theorem of the binomial distribution to approximate the Poisson distribution, which can simulate the stochastic process of the signals entering the system. Based on the signals occupying system processing time obeys the negative exponential distribution, the M/M/n/n queuing model is constructed through the above probability model combined with the first-come-first-served principle of the simulation channels, which can analyze the system simulation performance for a given call loss rate. The Monte-Carlo method is used to simulate the signals inbound time and the channel processing time, which can reach the same conclusions as the theoretical analyses under the condition that the call loss rate of the general communication system is 0.5%. Thus, using Poisson distribution to model the short message inbound signals can realize the simulation of its random characteristics, which can provide the environment to test receiving performance for short message burst signals.