An Empirical Study on Time-Correlation of GSM Telephone Traffic

Abstract--In this paper, we investigate possible timecorrelation of answered call arrivals in sets of real GSM telephone traffic data. Instead of attempting to model the empirical distribution of the call interarrival time, as done in several previous works in literature, we emphasize results obtained by the Modified Allan Variance (MAVAR), a widely used time-domain quantity with excellent capability of discriminating power-law noise types. The call arrival rate exhibits a diurnal trend, with peak hours in the morning and late afternoon. Besides this diurnal rate change, the number of call arrivals in a second is found perfectly uncorrelated to the number of arrivals in other seconds and Poisson distributed, with good consistency by X2 test evaluation. Uniform and accurate whiteness of call arrivals per second is verified in all hours, regardless the time of the day. In all series analyzed, the empirical statistics of both originated and terminated call arrivals proves excellent consis...

• Type: Journal
• Year: 2008
• Where: TWC
• Authors: Stefano Bregni, Roberto Cioffi, Maurizio Decina
• Keywords: Diurnal Rate Change, GSM Telephone Traffic, Modified Allan Variance, TWC 2008