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The capacity of a cellular system in fixed area is directly proportional to which of the following?
1. Number of directional antennas
2. Number of times a cluster is replicated
3. Number of users
4. Number of base stations

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Correct Answer - Option 2 : Number of times a cluster is replicated

Concept:

To understand the frequency reuse concept, consider a cellular system which has a total of S duplex channels available for use.

If each cell is allocated a group of k channels (k < S), and if the S channels are divided among N cells into unique and disjoint channel groups which each have the same number of channels, the total number of available radio channels can be expressed as

S = kN

The N cells which collectively use the complete set of available frequencies is called a cluster.

If a cluster is replicated M times within the system, the total number of duplex channels, C, can be used as a measure of capacity and is given by

C = MkN = MS

If the cluster size N is reduced while the cell size is kept constant, more clusters are required to cover a given area, and hence more capacity is achieved.

Conclusion:

The capacity of a cellular system is directly proportional to the number of times a cluster is replicated in a fixed area.

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