Autocorrelation-Driven Synthesis of Antenna Arrays—The Case of <i>DS</i>-Based Planar Isophoric Thinned Arrays

Abstract

A new methodology for the design of isophoric thinned arrays with a priori\ncontrolled pattern features is introduced. A fully analytical and general\n(i.e., valid for any lattice and set of weights) relationship between the\nautocorrelation of the array excitations and the power pattern samples is first\nderived. Binary 2-D sequences with known autocorrelation properties, namely the\ndifference sets (DSs), are then chosen as a representative benchmark to prove\nthat it is possible to deduce closed-form synthesis formulas that a priori\nguarantee to fit requirements on the sidelobe level (SLL), the directivity, the\nhalf-power beamwidth, and the power pattern in user-defined directions. The\nselected results from a wide numerical assessment, which also includes\nfull-wave simulations with realistic radiators, are illustrated to validate the\nreliability and the accuracy of the proposed design equations and the\nassociated performance bounds.\n