基于联合优化松弛交替投影的组网雷达恒模波形设计

发布时间：2018-04-28 12:01

本文选题：组网雷达 + 稀疏频谱　；参考：《电子与信息学报》2016年07期

【摘要】：针对组网雷达工作频段拥塞、高自相关距离旁瓣及节点雷达间波形互干扰等问题,该文在恒模约束下引入联合优化松弛交替投影算法来设计稀疏频谱波形,使其同时具有低自相关旁瓣或低节点雷达间波形互扰特性。该算法利用功率谱与非周期相关函数的傅里叶变换关系将原优化问题转化为谱逼近问题,并通过多目标联合优化机制综合考虑各设计要求,引入松弛因子和加速因子扩展交替投影框架来优化收敛投影区,最终凭借快速傅里叶变换及加速交替投影机制实现迭代优化。仿真结果表明,该算法无需求解梯度,运算效率高且能够有效避免局部优化停滞,与当前流行投影算法及循环算法相比更适合工程实现。
[Abstract]:In order to solve the problems such as congestion of radar operating frequency band high autocorrelation range sidelobes and mutual interference between nodal radar waveforms this paper introduces a joint optimal relaxation alternating projection algorithm under constant modulus constraints to design sparse spectral waveforms. It also has the characteristics of low autocorrelation sidelobe or low node radar waveform interference. In this algorithm, the Fourier transform relation between power spectrum and aperiodic correlation function is used to transform the original optimization problem into spectral approximation problem, and the design requirements are considered synthetically through the multi-objective joint optimization mechanism. The relaxation factor and acceleration factor extended alternating projection frame are introduced to optimize the convergent projection region, and the iterative optimization is realized by means of fast Fourier transform (FFT) and accelerated alternating projector system. The simulation results show that the proposed algorithm does not need to solve the gradient, has high computational efficiency and can effectively avoid the stagnation of local optimization, and is more suitable for engineering implementation than the current popular projection algorithm and cyclic algorithm.
【作者单位】：哈尔滨工业大学电子与信息工程学院;
【基金】：国家自然科学基金(61371181)~~
【分类号】：TN959

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