       . 21 30 ) 21 (         ) 1 ( !" # ) 2 ( ) 1 % &’( ( ) * +,- ./ %’0 +1 23 %4 &5 678 ) 2  ( ) * +,- ./ %’0 +1 23 %4 &5 678 ::5 ; <=/ 1392 :?@ ; 0/ 1393 :&#’(  2A3      BC 6% D/ + E-( E    :% /  :7FGH %3 I   .%-     / %%J ? K D L  DM E- H%4 5   /  :7FGH %3 D/ :N=-  D(  ( E  :7FGH %3 D/ :N=-   :%   + E- H%4  ? L .%/ D’O P/ /  D’70/ DQ= K  /  +% %N B%8 DQ= K D/ B%8 7R  D’70/ DQ= D( % %C + <,- D L  .: B%8 7R %7H   DN  : D/ +%    +%’  < .%* :)"*+ ,-*+ SJ3 <%/ ; / E- H%4  +%’  :7FGH %3   Convex Optimization . Robust Beamforming Algorithms Sajad Dehqani (1) – Naser Parhizgar (2) (1) MSc - Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Fars, Iran sajaddehghani@gmail.com (2) Assistant Professor - Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Fars, Iran nasserpar@yahoo.com Adaptive beamforming methods are known to degrade in the presence of steering vector and covariance matrix uncertinity. In this paper, a new approach is presented to robust adaptive minimum variance distortionless response beamforming make robust against both uncertainties in steering vector and covariance matrix. This method minimize a optimization problem that contains a quadratic objective function and a quadratic constraint. The optimization problem is nonconvex but is converted to a convex optimization problem in this paper. It is solved by the interior-point method and optimum weight vector to robust beamforming is achieved. Index Terms: Robustness, uncertainty, minimum variance distortionless response beamforming, convex optimization. :./0 1)20 - T &5 < 23 %4 ) * +,-  &5 678 ، sajaddehghani@gmail.com