A Compressive-Sensing Inspired Alternate Projection Algorithm for Sparse Array Synthesis

Abstract

Abstract:In this paper, we propose a simple approach for sparse array synthesis. We employ a modified generalized alternate projection algorithm using 1 -norm constrained minimization in order to achieve the excitation and the position of the elements of a sparse array. The proposed approach is very flexible, since it deals with power pattern masks and allows the inclusion of the effects of element pattern and mutual coupling. Its implementation is relatively simple, thanks to the possibility to use well-known convex programming techniques. The presented method is particularly suitable for the synthesis of patterns commonly employed in radar systems; the numerical results provided show good performances with respect to concurrent methods available in open literature.

Antenna Arrays for Line-of-Sight Massive MIMO: Half Wavelength Is Not Enough

“…The synthesis of sparse arrays is one of the most studied antenna topics in the last 50 years, and a very large number of methods and algorithms has been developed for linear and planar arrays [36][37][38][39][40][41][42][43][44][45][46][47]. Unfortunately, none of these algorithms can be directly applied to an MU-MIMO system: our aim is to obtain the antenna positions, within a given range, that allow the best performances of a multi-user scenario, and this problem cannot be directly translated into a classical antenna pattern synthesis problem.…”

Grid Reconfiguration Method for Off-Grid DOA Estimation

“…In recent years, the rapid development of compressed sensing (CS) [8] and its application in array antenna and array signal processing [9][10][11][12][13][14][15][16][17][18][19], has provided a new solution for DOA estimation. A great deal of research has emerged, identifying the DOAs by formulating the problem as a sparse signal recovery problem.…”

Efficient Large Sparse Arrays Synthesis by Means of Smooth Re-Weighted L1 Minimization

“…The aforementioned classification is obviously a very simplified one, since the years hybrid and mixed strategies have been presented [35][36][37][38][39][40][41]; furthermore, the recent development of compressive sensing [42], and related algorithms, has provided effective and computationally-efficient algorithms [43][44][45][46][47][48][49][50][51][52][53]. In particular, the synthesis of sparse linear arrays of hundreds of wavelengths was shown in [53], a result that to the best knowledge of the authors is currently unmatched.…”