To gain the tradeoff between lower sidelobe and higher power amplifiers efficiency,a transmitting beam shaping scheme with limited amplitude weight values for satellite active phased array antenna is presented. The scheme is implemented by a dual coding genetic algorithm(GA). Phase and amplitude of array weight vectors for beam shaping are encoded by real coding and finite length binary coding,respectively,which,maintaining accuracy of results,reduces the amplitude dynamic range and improves the efficiency of power amplifiers. The presented algorithm,compared with complex-coded GA,increases the convergence rate due to the search space’s decrease. In order to overcome the prematurity and obtain better global optimization or quasi-global optimization,a new dual coding GA based on “species diversity retention” strategy and adaptive crossover and mutation probability are presented. To gain the tradeoff between lower sidelobe and higher power amplifiers efficiency, a transmitting beam shaping scheme with limited amplitude value for satellite active phased array antenna presented. The scheme is implemented by a dual coding genetic algorithm (GA). Phase and amplitude of array weight vectors for beam shaping are encoded by real coding and finite length binary coding, respectively, which, sustain accuracy of results, reduces the amplitude dynamic range and improves the efficiency of power amplifiers. The presented algorithm, compared with complex-coded GA, increase the convergence rate due to the search space’s decrease. In order to overcome the prematurity and obtain better global optimization or quasi-global optimization, a new dual coding GA based on “species diversity retention” strategy and adaptive crossover and mutation probability are presented.