Array of Arrays: Optimizing Phased Array Tiles

A Self-Replicating Single-Shape Tiling Technique for the Design of Highly Modular Planar Phased Arrays -- The Case of L-Shaped Rep-Tiles

“…[Fig. 8(b)], and the tile with the maximum value (i.e., q = 7) has been selected (10) To assess the effectiveness and the reliability of the RTAM to find the optimal tiling of the aperture A, that is (in other words), to prove that the solution c opt is the global optimum subject to the constraint Q ≤ Q max , the Algorithm-X has been used [43] [44] BW u = BW v = 0.274, and (u 0 , v 0 = 0, 0)] coded by the mask Ψ (u, v) in Fig. 9(a).…”

“…5(c)] and I (3) [Fig. 5(e)] array elements are the candidates for division (10) at the iteration h = 2 and h = H,…”

“…The capability of quickly reconfiguring the radiation pattern and its features by controlling the amplitude and/or the phase coefficients of the excitations of the array elements makes PAs a very attractive and promising technology. However, regularly-spaced digital PAs, where the radiating elements are arranged on a uniform lattice and each element is equipped with an independent transmit/receive module (TRM) and a digital channel, are too expensive and complex for standard applications [9] [10].…”

“…and divided into S = 4 reptiles of level (R − 1) with I (R−1) = 3 elements to yield the new array tiling c(h) h=1 in Fig.8(c) ( Q (h) h=1 =11). Once the Q(1) tiles of c(1) [Fig.8(d)] have been ranked(10) according to their STM values ( q = 2) [Fig.8(d)], a further iteration (h = 2) of the RTAM has been completed by deriving the tiled arrangement, c(h) h=2 , in Fig.8(e) (Q (h) h=2 = 14 being Q . The iterative procedure has been stopped (Step 2.5) after H = 2 iterations since the convergence condition on the maximum number of sub-arrays has been reached (i.e., Q (h) = Q max ) and the final clustered architecture has been set to the current one (c opt = c(2) ).…”