Array synthesis problems via convex relaxation

Benjamin Fuchs (1)

1 IETR - Institut d'Électronique et des Technologies du numéRique

A general procedure, based on the SemiDefinite Re-laxation (SDR) technique, is presented to solve efficiently a wide range of difficult (because non-convex) array synthesis problems. This powerful approximation technique is easy to implement and the so-approximated problem can then be efficiently solved using off-the-shelf numerical routines. Examples of shaped beam and reconfigurable array synthesis are shown to illustrate the potentialities of the proposed approach.

Keywords: approximation theory; linear antenna arrays; nonlinear programming; shaped beam antennas; SDR technique; approximation technique; convex relaxation; general procedure; off-the-shelf numerical routines; reconfigurable array synthesis; semidefinite relaxation technique; shaped beam array synthesis; so-approximated problem

Domains: Engineering Sciences [physics]; Electronics

Benjamin Fuchs. Array synthesis problems via convex relaxation. APSURSI 2014 : Antennas and Propagation Society International Symposium, 2014, pp.1361 - 1362. ⟨10.1109/APS.2014.6905006⟩. ⟨hal-01082699⟩