Synthesis of linear multi‐beam arrays through hierarchical almost difference set‐based interleaving

Abstract

The study presents an innovative ‘almost difference set (ADS)’‐based analytical approach for the design of fully interleaved arrays supporting Q > 2 independent functions on a shared aperture. Such a hierarchical subarraying methodology allows one to interweave, on the same lattice, Q = 2P non‐overlapped arrangements with beam properties a‐priori predictable from the descriptive parameters of the chosen ADSs. A general formulation for the pattern analysis of subarray layouts is derived and successively employed to assess features and potentialities of the multi‐level ‘ADS’ interleaved scheme. A set of representative numerical results, concerned with different apertures, balancing factors and number of interleaved functions, is presented to give some indications on the effectiveness, the efficiency and the reliability of the proposed approach.

Autocorrelation-Driven Synthesis of Antenna Arrays—The Case of DS-Based Planar Isophoric Thinned Arrays

“…7(c)]. Another interesting result of the general theory for DS-based arrays developed in (IV) is the feature of a-priori determining, thanks to (25), the grating lobe positions of the arising layout as well as, indirectly, the steering range/field of view of the DS-based isophoric arrays. As a matter of fact, the plot of P norm (u, v) in a domain larger than the visible range (u, v ∈ [−3, 3]) [Fig.…”

“…Otherwise, analytical thinning methods based on the exploitation of difference sets (DS) [16] [20] and almost difference sets (ADS) [17] [21] have been introduced. Thanks to their effectiveness and computational efficiency in dealing with arbitrary-wide isophoric arrays [16] [20], these approaches have been widely adopted for solving various array synthesis problems [22][23] [24] [25], even though a full control of the pattern features (e.g., only the mitigation of the sidelobes) [16] [17] [20] is often not possible still because of the limited number of variables in designing thinned arrays. To counteract such a limitation, this paper presents a new methodology for synthesizing thinned isophoric arrangements with controlled pattern features where the DoFs are (i) the geometry of the unit cell of the array lattice and (ii) the positions of the array elements on the lattice grid.…”

Optimum Sparse Subarray Design for Multitask Receivers

“…Three different radar applications of a shared aperture antenna using interleaved sparse subarrays on a common platform were considered in [4], namely, multifrequency shared aperture antenna, shared aperture antenna implementing polarization agility, and interleaved transmitting/receiving shared aperture antenna. The synthesis of linear multibeam arrays on a shared aperture through hierarchical almost difference set based interleaving was studied in [5].…”

Synthesizing Unequally Spaced Pattern-Reconfigurable Linear Arrays With Minimum Interspacing Control

“…In the past decades, many advanced techniques have been developed to synthesize the array with reconfigurable multiple patterns. These techniques mainly includes alternating projection approaches [5], [6], the modified Woodward-Lawson technique [7], stochastic optimization algorithms [8]- [11], and some other techniques [12]- [15]. For most of them, multiple patterns are generated by varying…”