According to the question the
Given
Total Bandwidth = 33 MHz
Channel bandwidth = 25 KHz simplex channels
i.e. duplex channels= 2*25 =50KHz
Total available channels= (33*1000)/50=33000/50=660 channels
a.
1. For N=4
Total number of channels available per cell= 660/4 =165 channels
2. For N= 7
Total number of channels available per cell = 660/7 = 94.285 i.e. 95 channels
3. For N=12
Total number of channels available per cell = 660/12= 55 channels
b.
We can assume that a 1 MHZ spectrum for control channels implies that there are 1000/50 = 20 control channels out of the 660 channels available. To evenly distribute the control and voice channels, simply allocate the same number of channels in each cell wherever possible. Now the 660 channels must be evenly distributed to each cell within the cluster. In practice, only the 640 voice channels would be allocated, since the control channels are allocated separately as 1 per cell.
1. For N = 4, we can have 5 control channels and 160 voice channels per cell. In practice, however, each cell only needs a single control channel (the control channels have a greater reuse distance that the voice channels). Thus, one control channel and 160 voice channels would be assigned to each cell.
2. For N = 7, 4 cells with 3 control channels and 92 voice channels, 2 cells with 3 control channels and 90 voice channels, and 1 cell with 2 control channels and 92 voice channels could be allocated. In practice, however each cell would have one control channel, four cells would have 91 voice channels, and three cells would have 92 voice channels.
3. For N = 12, we can have 8 cells with 2 control channels and 53 voice channels, and four cells with 1 control channel and 54 voice channels each. In an actual system, each cell would have 1 control channel, 8 cells would have 53 voice channels, and 4 cells would have 54 voice channels.
Frequency reuse depends on the following factors:
a. The power of the transmitted signal.
b. The frequencies used.
c. The type of antenna.
d. The height of the antenna
e. Weather
f. The terrain over which the signal is sent.
There are two set of of 7 cells. The set of frequeincies used by cell 1 of one set is reused by the cell 1 of the second set. These cells must maintain a minimum geographical distance, which is referred to as frequency reuse distance. Frequency reuse distance is computed as:
D/R= Ö3N
Where D= the distance between cells using the same frequency. R is the cell radius and N is the reuse pattern. Thus for a 7 cell group with cell radius r = 3 miles, the frequency reuse distance D is 13.74 miles. The equation indicates that an increase in D reduces the chance of co- channel interference from cells using the same frequencies. This also means that the number of channels assigned to each cell becomes smaller resulting in inefficiencies in managing the spectrum and the trunk.