Optimal far-field focusing of uniformly spaced arrays subject to arbitrary upper bounds in nontarget directions

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Optimal Synthesis of Sum and Difference Patterns With Arbitrary Sidelobes Subject to Common Excitations Constraints (2010, background): “For the sake of clarity, let us notice that the minus sign in (3) translates a maximization problem into a more common minimization one (a real and positive field in the target direction was looked for, differently from [11]), and in (4) the slope of the array factor is computed according to [13].”
An Effective Hybrid Approach for the Optimal Synthesis of Monopulse Antennas (2007, methodology): “, local) optimization schemes for both the sum [1], [2] and difference [3] cases.”
Application of Convex Relaxation to Array Synthesis Problems (2014, methodology): “The synthesis of a focused beam pattern can be formulated in a convex way as shown in [19], [20].”
Fast Low-Sidelobe Synthesis for Large Planar Array Antennas Utilizing Successive Fast Fourier Transforms of the Array Factor (2007, unknown): “Nearly all of the available numerical synthesis methods follow this approach and are essential only different in their choice of the error criterion and the algorithm used for the minimization, [1]‐[ 4 ].”