针对Capon波束形成器在导向矢量失配存在时的较差指向性能,利用模约束来提高算法的稳健性.详细分析了模不等式约束Capon波束形成器(NIcCB)解的存在情况,给出了NICCB中模不等式约束参数的选择范围.由于模等式约束远远强于不等式约束,所以模等式约束Capon波束形成器(NEccB)的稳健性要远远优于NICCB,故提出NEECB并进行了有效的求解.仿真分析验证了理论分析的正确性,当模约束参数在允许的范围内选择时,最优NICCB和NECCB的波束指向性能变化不是很明显,但是NECCB的性能要明显优于NICCB。
In order to improve the robustness against the array steering vector mismatch, the norm constraint on the weight vector is used. By the complete investigation on the norm inequality constraint Capon beamformer(NICCB), the existence of its solution is analyzed in detail, the choice of the norm inequality constraint parameter for NICCB is analyzed and the selecting bound is given.Since the norm equality constraint is stronger than the norm inequality constraint, the robustness of the norm equality constraint Capon beamformer(NFCCB)is more excellent than NICCB, and the NFCCB is proposed and solved efficiently. Numerical examples attest the correctness of the theory,and show that when the norm constraint parameter is selected in the allowable bound, the performances of the optimal NICCB and NECCB vary unobvious respectively, but NFCCB has the better performance than NICCB.