最小化ISL度量设计纯相位序列的快速迭代算法
A Fast Iterative Algorithm to design phase only sequences by minimizing the ISL metric
摘要：
具有类冲激非周期自相关函数的单模/纯相序列在雷达、声纳、密码学和无线（CDMA）通信系统中起着重要的作用。在本文中，我们提出了一种快速的迭代算法来设计相位只有任意长度的序列通过最小化的综合旁瓣电平（ISL）的度量，这是非常密切相关的序列的自相关属性。ISL最小化问题迭代求解，通过使用优化最小化（MM）技术，这确保了单调收敛到固定的最小点。为了突出所提出的算法的性能，我们进行了不同的序列长度，使用不同的初始化的数值实验，并与现有的算法进行比较。数值模拟表明，无论序列长度和初始化，该算法是执行更好的状态的最先进的算法在收敛速度方面。我们还展示了一种计算效率高的方法来实现我们提出的算法，通过使用FFT和IFFT操作。
英文摘要：
Unimodular/Phase only sequence having impulse like aperiodic auto-correlation function plays a central role in the applications of RADAR, SONAR, Cryptography, and Wireless (CDMA) Communication Systems. In this paper, we propose a fast iterative algorithm to design phase only sequences of arbitrary lengths by minimizing the Integrated Side-lobe Level (ISL) metric, which is very closely related to the auto-correlation property of a sequence. The ISL minimization problem is solved iteratively by using the Majorization-Minimization (MM) technique, which ensures a monotonic convergence to the stationary minimum point. To highlight the performance of a proposed algorithm, we conduct the numerical experiments for different sequence lengths using different initializations and also compare them with the existing algorithms. Numerical simulations show that irrespective of the sequence length and initialization, the proposed algorithm is performing better than the state-of-the-art algorithms in terms of speed of convergence. We also show a computationally efficient way to implement our proposed algorithm by using the FFT and IFFT operations.
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