This study exploits high-order p-norm to uniformly represent the peak sidelobe level (PSL) and integrated sidelobe level (ISL) commonly used in waveform optimization, and presents a unified optimization objective function by considering the requirement that waveforms have good correlation properties in radar and communication systems. A novel and efficient waveform optimization algorithm is then proposed, which tackles the waveform and waveform set optimization of the PSL, the weighted sidelobe level, the ISL, and the weighted ISL. Applying the unified optimization objective function, the iteration factors are dynamically adjusted based on the quasi-Newton algorithm; in addition, the objective function is optimized with the gradient descent search algorithm and includes the optimization of autocorrelation and cross-correlation. Because certain application scenarios involve the Doppler sensitivity of waveforms, the problem is converted to cross-correlation optimization via channel division of Doppler frequency, and waveform with anti-Doppler sensitivity can be obtained. Multiple numerical simulations illustrate the positive performance of the proposed method. Furthermore, compared with certain traditional algorithms, the waveforms designed by this algorithm demonstrate improved correlation properties.

中文翻译：

---

使用 3-D 磁等效电路模型和绕组函数方法改进轴向磁阻旋转变压器的配置方案


本研究利用高阶p范数来统一表示波形优化中常用的峰值旁瓣电平（PSL）和积分旁瓣电平（ISL），并考虑波形具有良好相关性的要求，提出统一的优化目标函数。雷达和通信系统。然后提出了一种新颖且高效的波形优化算法，该算法解决了 PSL、加权旁瓣电平、ISL 和加权 ISL 的波形和波形集优化问题。采用统一优化目标函数，基于拟牛顿算法动态调整迭代因子；另外，目标函数采用梯度下降搜索算法进行优化，包括自相关和互相关的优化。由于某些应用场景涉及到波形的多普勒敏感性，通过对多普勒频率进行通道划分，将问题转化为互相关优化，可以获得具有抗多普勒敏感性的波形。多次数值模拟说明了该方法的积极性能。此外，与某些传统算法相比，该算法设计的波形表现出改进的相关性。