抑制特定区间距离旁瓣的恒模波形设计方法

Constant Modular Waveform Design Method for Suppressing Range Sidelobes in Specified Intervals

该文提出在特定的距离旁瓣区间具有极低相关幅值的恒模波形设计方法。该类波形可应用于具有发射自适应能力的雷达、声呐和通信系统,以抑制距离旁瓣遮蔽和多路径等干扰。该文使用0-1加权的积分旁瓣电平构造目标函数,将波形设计转化为无约束优化问题。针对目标函数的特点,基于功率谱拟合的思想提出了初始点选择算法,推导了目标函数梯度和Hessian矩阵的解析表达式,并利用子空间信赖域算法求解该优化问题,提高了优化过程的计算效率。计算机仿真表明,对于连续区间和多个离散点的距离旁瓣抑制,均能提供较好的效果。

A method of designing constant modulus waveforms with ultra-low range sidelobe in specified intervals is presented. This kind of waveform can be used in radar, sonar, and communication systems with transmit adaptivity to suppress range sidelobe masking and multipath interferences. The 0-1 weighted integrated sidelobe level is used to construct the objective function, and the waveform design issue is modeled as a non-constrained optimization issue. According to the characteristics of the objective function, an initial waveform design algorithm based on power spectrum approximation is proposed. The analytical forms of objective function gradient and the Hessian matrix are derived and the subspace trust region Mgorithm is used, thus the computation burden of solving this optimization issue is reduced. Finally, the numerical simulations demonstrate that the proposed method can suppress successive and discrete intervals of range sidelobes effectively.