Wide beam synthesis via convex modelling

As the solid state technology develops and cheapens down, using the same antenna aperture for different applications requiring different beam patterns has become possible. Since different applications use different beam-widths, synthesis of beam patterns with different beam-widths and high effective radiated powers (ERP) by using the same antenna aperture is an important problem. In this work, a new method for synthesizing beam patterns which are uniformly localized in the given azimuth interval and suppressed in the remaining parts with high ERPs for linear antenna arrays by using the antenna weights is proposed. The problem is formulated as a convex optimization problem first for finding the optimal values of antenna weights yielding a uniform distribution of the beam pattern in the given azimuth interval. By using the iterative beam synthesis method, high ERP condition is satisfied. Experiments for different beam-widths show that the proposed method is capable of forming beam patterns with required beam widths and high ERPs.