研究了在相似性约束下的多输入多输出(MIMO)雷达恒模波形设计问题。在存在信号依赖性干扰和高斯白噪声条件下,以最大化信干噪比为目标函数,以恒模和相似性为约束构建了数学优化模型,并采用迭代方式对发射波形和接收滤波器进行更新。在对波形序列优化过程中,由于恒模约束是非凸的,该数学优化模型为一非凸数学优化问题,计算难度较大。文中提出了相位域乘子法对MIMO雷达恒模波形优化问题进行快速求解。该算法将对恒模波形序列的直接优化问题转化为对波形相位序列的优化问题,降低计算复杂度。通过数值仿真手段将该算法与现有方法进行比较,结果证明了该算法能够有效获得具有低自相关积分旁瓣水平的波形,且具有较低的计算复杂度。

The problem of designing a unimodular waveform with the similarity constraint for the colocated multiple-input multipleoutput radar is investigated. A new approach named by the phase-based multiplier method is proposed to optimize the waveform subject to both the constant modular constraint and the similarity constraint to maximize the signal-to-interference-plus-noise ratio in presence of the signal-dependent interference and the additive Gaussian white noise. The waveform and the filter are devised alternately. Because of the existence of the constant modular constraint, the problem of optimizing the waveform is non-convex, which is hard to deal with. For the purpose of obtaining the solution efficiently, the proposed method converts the manner of updating the waveform vector directly to optimizing the phase vector of waveform vector. Compared with the existing alternative methods, the new method has lower computational complexity. Furthermore, the numerical simulations demonstrate that the performance of the proposed algorithm outperforms the existing methods and the method possesses a low computational complexity.

TN973