用块优化-最小化方法设计具有良好自相关特性的单模序列
Designing unimodular sequence with good auto-correlation properties via Block Majorization-Minimization method
摘要：
具有低旁瓣自相关函数的恒模序列在声纳、雷达和数字通信等系统中有着重要的应用。在本文中，我们考虑的问题，最小化的综合旁瓣电平（ISL）度量，设计一个复杂的单模序列的任何长度。底层的优化问题迭代求解使用块优化-最小化（MM）技术，这确保了所得算法是单调的。我们还展示了一种计算效率高的方法来实现该算法使用快速傅里叶变换（FFT）和逆快速傅里叶变换（IFFT）操作。数值实验结果表明，该算法在计算复杂度和收敛速度方面均优于现有算法.
英文摘要：
Constant modulus sequence having lower side-lobe levels in its auto-correlation function plays an important role in the applications like SONAR, RADAR and digital communication systems. In this paper, we consider the problem of minimizing the Integrated Sidelobe Level (ISL) metric, to design a complex unimodular sequence of any length. The underlying optimization problem is solved iteratively using the Block Majorization-Minimization(MM) technique, which ensures that the resultant algorithm to be monotonic. We also show a computationally efficient way to implement the algorithm using Fast Fourier Transform (FFT) and Inverse Fast Fourier Transform (IFFT) operations. Numerical experiments were conducted to compare the proposed algorithm with the state-of-the art algorithms and was found that the proposed algorithm performs better in terms of computational complexity and speed of convergence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
