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332             Chapter 17. Advanced communication Systems


                                                           Cell 2

                                                    Cell 7         Cell 3

                                                           Cell 1
                                                    Cell 6         Cell 4

                                           Cell 2           Cell 5

                                    Cell 7         Cell 3          Cell 2

                                           Cell 1          Cell 7          Cell 3
                                    Cell 6         Cell 4
                                                                   Cell 1
                                            Cell 5          Cell 6         Cell 4

                                                                   Cell 5





                           Figure 17.13: Illustration of frequency reuse concept. Cells with the same
                           name use the same set of frequencies. A small cluster is outlined in bold and
                           replicated over the coverage area. In this example, cluster size N = 7 and
                           frequency reuse factor is 1/7 since each cell contains one-seventh of the total
                           number of available channels.


                              Consider a cellular system which has a total of S duplex chan-
                              1
                           nels available for use. If each cell is allocated a group of K channels
                           (K < S) and if S channels are divided among N cells into unique
                           and disjoint channel groups with each have the same number of chan-
                           nels, 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.
                              The cells can be grouped in clusters of 7, 12 and 19 etc. to form a
                           repetitive pattern. If a cluster is replicated M times within the system,
                           the total number of duplex channels C, can be used as measure of

                              1
                              Two way communication by using the same channel


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