基于新循环算法的低旁瓣非周期单模序列设计
Design of Low Sidelobe Aperiodic Unimodular Sequences Based on New Cycling Algorithm
摘要: 针对雷达波形设计中旁瓣过高的问题，提出了一种基于快速傅里叶变换的新循环算法的单模非周期序列优化方法。首先，构建了以最小化积分旁瓣水平(integrated-sidelobe-level, ISL)为优化准则，以单模序列为约束条件的优化问题。由于该优化问题的非凸性，提出一种基于新循环算法的迭代优化算法对其进行求解。此外，还在理论上改进其算法的收敛性，确保它在迭代过程中能稳定地收敛到最优解或局部最优解。仿真实验结果表明，该方法有效降低非周期单模序列自相关旁瓣，提高单模非周期序列的优点因子。
Abstract: Because of the issue of high sidelobes in radar waveform design, we proposed a new optimization method for unimodular aperiodic sequences based on fast Fourier transform cyclic algorithm. Firstly, an optimization problem is constructed with the minimization of integrated sidelobe level (ISL) as the optimization criterion and single-mode sequences as constraint conditions. Due to the non-convex nature of the optimization problem, a new iterative optimization algorithm based on a new cycling algorithm is proposed to solve it. Furthermore, improvements are being made in the theoretical convergence of its algorithm, ensuring that it can stably converge to the optimal or local optimal solution during the iterative process. Simulation experiment results show that the method effectively reduces the autocorrelation sidelobes of single-mode non-periodic sequences, and improves the merit factor of single-mode non-periodic sequences.
文章引用：肖芷诺. 基于新循环算法的低旁瓣非周期单模序列设计[J]. 应用数学进展, 2024, 13(5): 2460-2468. https://doi.org/10.12677/aam.2024.135234

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