Constrained Least-Squares Optimization in Conformal Array Antenna Synthesis

The least mean square error of the constrained least-squares optimization method is studied. The phases of non-zero goal values and the phases of non-zero constraint values can be selected by a fast iteration for optimum fit to the goal function amplitude. This kind of modified least-squares optimization method opens up a fast and robust synthesis method for large conformal antenna arrays. Constraints can be written also for the element excitation amplitudes and a phase synthesis with predefined amplitudes can be done. Iterative weight-correction technique is used for accurate sidelobe control. Synthesis examples of two-dimensional elliptical and large three-dimensional conformal antenna arrays are presented