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142     Chapter Four

                    The electrical beamtilt is accomplished by
                  having a tilt unit that divides the available
                  power (on transmit) and changes the phase or               Subarray
                  time delay to each antenna element or each
                  subarray consisting of a number of antenna ele-
                  ments stacked vertically (see Figure 4.8). The
                  design of an antenna with electrical downtilt is
                  a trade-off between antenna performance and                Subarray
                  antenna system complexity and cost. Ideally,
                  each antenna element would be individually           Adjustable beamtilt unit
                  controlled with respect to amplitude and phase
                  of the excitation. With antenna elements spaced            Subarray
                  a fraction of a wavelength apart, this configu-
                  ration would not incur grating lobe problems,
                  but the solution would require a high-complex-
                  ity tilt unit as well as a large number of cables
                  in the antenna assembly. This is not considered            Subarray
                  a cost-effective solution and instead subarrays
                  are controlled by the tilt unit.
                    The subarrays have fixed distribution net-
                  works that are designed to give a desired fixed   Tilt control
                  tilt angle and beam shape. The subarrays may   Figure  4.8  Array  antenna
                  also be optimized to counteract the grating lobe   consisting of four subarrays,
                                                               an adjustable tilt unit, and
                  effects, i.e., generation of undesirable copies of   phase-matched cables
                  the main beam, that appear when controlling
                  the excitation of the groups of antenna elements (the subarrays) sepa-
                  rated by more than a wavelength. This is illustrated in Figure 4.9. The
                  array antenna consists of 16 radiating elements that are grouped into
                  4 identical subarrays. A fixed network in each subarray distributes the
                  power equally among the radiating elements. The subarray radiation
                  patterns are displayed as gray lines in Figure 4.9. A grating lobe appears
                  as the array antenna beam is scanned from 0° to 10° due to the large
                  spacing between subarrays as seen in Figures 4.9a, 4.9b, and 4.9c. The
                  grating lobe level can be reduced by introducing a fixed phase delay in
                  the subarray distribution network. This is shown in Figures 4.9d, 4.9e,
                  and 4.9f, where each subarray has a fixed scan angle of 5.5°. The total
                  array radiation pattern now has a grating lobe level not exceeding the
                  first sidelobe in the total array radiation pattern when scanned from
                  0° to 10°. The technique can be further extended with nonidentical or
                                  17
                  unequally spaced  subarrays.
                    The technique can be further extended by implementing nonlinear
                  phase-shifters or time delays when tilting the beam in elevation. This
                  allows an adaptive change of the beam shape or beamwidth of the radia-
                  tion pattern with tilt angle during operation of a cellular network. The
                  advantage of using antennas with a nonlinear type of phase-shifter is
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