论文标题
通过块最小化方法设计具有良好自动相关属性的单型序列
Designing unimodular sequence with good auto-correlation properties via Block Majorization-Minimization method
论文作者
论文摘要
恒定模量序列在其自动相关功能中具有较低的侧室水平，在声纳，雷达和数字通信系统等应用中起着重要作用。在本文中，我们考虑了最大程度地减少集成的旁路水平（ISL）度量的问题，以设计任何长度的复杂的单型序列。使用块最小化（MM）技术对基本优化问题进行迭代解决，从而确保所得算法是单调的。我们还展示了使用快速傅立叶变换（FFT）和逆快速傅立叶变换（IFFT）操作实现算法的计算有效方法。进行了数值实验，以将所提出的算法与最先进的算法进行比较，并发现所提出的算法在计算复杂性和收敛速度方面的性能更好。
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.
