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Base Station Antennas for Mobile Radio Systems        67

                  tower-top equipment including antennas, brackets, and headframes,
                  and the strength, weight, and visibility of the necessary supporting
                  structure. The downside is that a six-port antenna (three bands, two
                  polarizations) is a very complex device and failure in any of its six con-
                  stituent arrays will require its replacement, potentially putting three
                  networks off the air, possibly for several hours until rigging operations
                  are complete.

                  2.3.5  Feed Networks
                  A typical feed network is shown in Figure 2.12. In this example, the
                  input signal is divided in three stages. The primary power divider is a
                  two-way splitter feeding the upper and lower halves of the array; the
                  tertiary dividers each feed a pair of radiating elements; and the second-
                  ary dividers have the appropriate number of ports, depending on the
                  number of elements in the whole array. In an array with a number of
                  elements that is not a power of 2 (2, 4, 8, or 16), an additional stage of
                  power division is sometimes used.

                  2.3.5.1  General Design Considerations  The first step in feed network
                  design is to compute the required power division ratio needed at each
                  junction. As noted, it is common for adjacent elements to be assigned
                  currents with equal amplitudes, and this adjustment should be carried
                  out before designing the network as it reduces the number of different
                  power ratios needed.
                    Power dividers often have only two output ports, especially if cable
                  impedance matching sections are used. If a power divider feeds a dif-
                  ferent number of elements from each output, then the elements with
                  smaller currents are grouped together so that every power divider has
                  output powers that are as equal as possible; in general, it is easier
                  to ensure a constant ratio from a wideband divider when the output
                  powers are comparable.
                    The effects of mismatch at junctions can be mitigated by using hybrid
                  or Wilkinson power dividers, but these are expensive and may not be
                  practicable. Not only must the element impedances be well matched,
                  but also any transformation ratio needed between the junction and the
                  transmission line feeding the elements must be achieved in a manner
                  that provides stability over a wide bandwidth. To achieve this, it is
                  common to employ multisection impedance transformers that can be
                  designed initially by using a Smith Chart and then optimized using a
                  suitable simulation program. A high VSWR at the input of the second-
                  ary dividers will cause phase errors in the primary divider, resulting
                  in an unstable elevation beamtilt—a problem that must be avoided to
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