Ex$.4$

An FDD cellular telephone system that uses two $30kHz$ simplex channels to provide full duplex voice and control channels is allocated a total of $24MHz$ of bandwidth. Assume that each mobile phone user generates $0\mathrm{.}1$ Erlangs of traffic in accordance with Erlang B$.$

a$)$ For a $4-$cell re$-$use system, find the number of channels in each cell. total

b$)$ What is the maximum number of users that can be supported per cell if each cell is to offer capacity that is $90\%$ of perfect scheduling? Assume that omnidirectional antennas are used at each base station.

c$)$ When the maximum number of users are available in the user pool, what is the blocking probability of the system in part b$)?$

d$)$ If each cell uses $120$ sectoring for each user base station, what is the new total number of users that can be supported per cell for the same blocking probability as in c$)?$

e$)$ When each cell covers $5$ square kilometers, how many subscribers could be supported in an urban market that is $50km**50km$ for the case of omnidirectional base station antennas?

f$)$ If each cell covers $5$ square kilometers, then how many subscribers could be supported in an urban market that is $50km**50km$ for the case of $120$ sectored antennas?

$13$