In this paper, we address the intra-pulse coding for single-input single-output radar systems. As the design metric, we consider the peak sidelobe level (PSL), which is important to be small to avoid masking of the weak targets in the range sidelobes of a strong target. The optimization problem, i.e., minimizing the PSL, is Np-hard in general. The adopted constraint is constant modulus, which is practically important in radar systems, as transmit power amplifiers are typically working in saturation, i.e., transmitting constant amplitude probing signals. The imposed constraint is non-convex that increases the complexity of the problem. By the mathematical manipulation proposed in this paper, we convert the non-convex problem to a convex one and tackle it using semidefinite programming. Simulation and results show the obtained sequences have very small PSL values.

中文翻译：

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设计具有小 PSL 的单模序列

在本文中，我们解决了单输入单输出雷达系统的脉冲内编码。作为设计指标，我们考虑峰值旁瓣电平 (PSL)，这对于避免在强目标的距离旁瓣中掩盖弱目标很重要。优化问题，即最小化 PSL，通常是 Np-hard。所采用的约束是恒模，这在雷达系统中实际上很重要，因为发射功率放大器通常在饱和状态下工作，即发射恒定幅度的探测信号。强加的约束是非凸的，这增加了问题的复杂性。通过本文提出的数学运算，我们将非凸问题转换为凸问题，并使用半定规划解决它。