Estimate the Call Duration Distribution Parameters in GSM System Based on K-L Divergence Method

This article analyses call duration probability density function and its parameters in GSM system. The sample data are obtained from an actual system, and the observed call duration is as long as 1800 seconds. K-L divergence method has been introduced to compare the goodness of candidate call duration probability density functions, and to estimate the parameters of three candidate probability density functions. Using these parameters, a day time hour performance of the GSM system is predicted. The comparison shows that lognormal distribution of call duration is more precise than exponential or Erlang distribution in the performance prediction in GSM system.