Synthesis of linear antenna array pattern has been the subject of many investigations
and studies (Schelkunoff, 1943; Dolph, 1946; Taylor, 1953; Kennedy and Eberhart,
1995; Ratnaweera et al., 2004; Balanis, 2005; Mailloux, 2005; Zhang et al., 2008;
Abusitta et al., 2009; Sayidmarie and Plumb, 2010; Chatterjee et al., 2013a; 2013b;
and 2013c). One of the primary synthesis problems is to achieve Side Lobe Level (SLL)
reduction, where Dolph (1946) introduced a novel technique using Chebyshev
polynomial to obtain equal SLL pattern. The resulting array pattern is named Dolph
Chebyshev linear array or simply Chebysev linear array. Consequently, Taylor (1953)
gave a monotonically decreasing array pattern. Both methods resulted in linear array
with unequal excitation amplitude and main beam at broadside position.
In phased array, one of the major requirements is to have an antenna array system
with beam steering capabilities or to have null placement capability in a particular
direction along with beam steering. There are two generic approaches to beam
steering: dynamic phased array beam steering and adaptive beam steering. In dynamic
phased array beam steering, the main beam is placed towards desired direction
(Balanis, 2005; and Mailloux, 2005). In dynamic array, feed to each element is varied
in such a way that the received or transmitted signals from all the elements are in
phase in a given direction (Balanis, 2005; and Mailloux, 2005). The value of phase in
that case depends upon the main beam position.
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