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+// Exa 17.1

+//To calculate-

+//(a) average busy-hour traffic per subscriber,

+//(b) traffic capacity per cell,

+//(c) required number of base stations per zone, and

+//(d) the hexagonal cell radius for the zone. 

+

+ clc;

+ clear all;

+ 

+ Susage=150;//subscriber usage per month in mins

+ days=24;//days per month

+ busyhrs=6;//in a day

+ BW=4.8*10^3;  //in kHz

+ Freqreuse=4/12;//Frequency reuse plan

+ chwidth=200; //in kHz

+ subscriber=50000;//Present subscriber count

+ Sgrowth=0.05;//Growth rate per year

+ Area=500;  //in km

+ BTScapacity=30; //in Erlangs

+ N=4;  //Initial installation design years

+ 

+ //solution

+ Erlangspersub=Susage/(days*busyhrs*60);

+ printf('Average busy-hour traffic per subscriber is %.4f Erlangs \n ',Erlangspersub);

+ RFcarriers=BW/chwidth;

+ RFcarrier_percell=RFcarriers/((Freqreuse^-1)*4); //freq reuse factor of 4

+

+//Assuming 2 control channels per cell

+CC=2;//control channels

+TC_percell=2*RFcarriers/3-CC;

+//Referring Erlang-B table in Appendix A

+disp("Referring Erlang-B table in Appendix A,Traffic capacity of a GSM cell at 2% GoS for 14 channels = 8.2 Erlangs ");

+Tcapacity=8.2;// in Erlangs

+disp("There are 3 cells per BTS");

+BTS=3;

+Traffic_perBTS=Tcapacity*BTS;

+printf(' Traffic capacity per BTS is %.1f Erlangs ',Traffic_perBTS);

+disp("Therefore, Traffic per BTS is less than BTS capacity(30 Erlangs)")

+maxsubscriber=Traffic_perBTS/Erlangspersub;

+initialsub=subscriber*(1+Sgrowth)^N;

+BTS_perZone=initialsub/maxsubscriber;

+printf(' The required number of base stations per zone are %d \n ',round(BTS_perZone));

+cellRadius=(Area/(BTS_perZone*2.6))^0.5;

+printf('The hexagonal cell radius is %.1f km \n ',cellRadius);