A new method is studied in this paper for the synthesis of nonuniform linear antenna arrays with shaped power patterns.The method at first finds a satisfactory power pattern for the required radiation characteristics by solving a constrained linear least-squares problem.Then

factorize the polynomial associated with the power pattern by using polynomial root-finding

and consequently obtain the corresponding field patterns.Finally

the forward-backward matrix pencil method is used to obtain a nonuniform linear array with optimal excitation amplitudes

phases and locations for any choice of field patterns.The weighted least-squares solution of element excitations is compared in performance with the non-weighted solution

and the coupling effect between antenna elements on the array synthesis performance is also studied.Numerical results show the effectiveness and robustness of the proposed method.