2 50 points a total of 32 76 mhz of bandwidth is available for a frequ

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2. (50 points) A total of 32.76 MHz of bandwidth is available for a frequency division
duplex (FDD) cellular system, which will be set up to provide duplex cellular
service in an urban area. Each simplex channel has 30 kHz bandwidth. Among the
available bandwidth, 1.68 MHz is dedicated to control channels. In total, 63 cells
are needed to cover the whole service area.
For voice channels, a minimal signal-to-interference ratio (SIR) of 15 dB is required
to satisfy customers' quality needs. Assume that all co-channel BSS are equal
distant from the mobile, i.e., D₁ = D, as shown in the figure below. Also assume a
path loss exponent n = 3.5. In this system, 120-degree sectoring antennas are used.
In addition, it is required that blocked call requests will be queued, with a 5%
probability of queued call. It is assumed that each subscriber makes an average of
one call per hour and each call lasts an average of 5 minutes during peak hours.
a) Determine the optimal value of cluster size.
b) Determine the number of duplex voice channels per cell in the system.
c) Determine the total number of subscribers the system can support.
Given bandwidth = 32.76 Mhz and each simplex channel has 30 Khz bandwi
sledicted to control channels.