基于拟牛顿迭代的分数阶Fourier变换最佳阶次的搜索方法研究
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摘要
针对如何快速确定分数阶Fourier变换最佳阶次的问题,在分析拟牛顿迭代法基本原理的基础上,研究了其在这一实际应用中的具体实现步骤.通过仿真实验展现了拟牛顿迭代法搜索分数阶Fourier变换最佳变换阶次的收敛过程,分析讨论了其在实际应用中存在的利弊.
To realize effective searching of the optimal fractional Fourier transform order,this paper analyzes the basic principle of quasi-Newton method. The implementation steps of quasi-Newton method are studied specifically. Simulation presents the converging process of searching the optimal fractional Fourier transform order based on quasi-Newton method. The advantages and disadvantages of this method are discussed.
To realize effective searching of the optimal fractional Fourier transform order,this paper analyzes the basic principle of quasi-Newton method. The implementation steps of quasi-Newton method are studied specifically. Simulation presents the converging process of searching the optimal fractional Fourier transform order based on quasi-Newton method. The advantages and disadvantages of this method are discussed.
引文
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[3]张军,周旭.LFMCW雷达多目标检测技术研究[J].现代雷达,2013,35(6):29-33.Zhang Jun,Zhou Xu.A study on multi-object detection for LFMEW radar[J].Modern Radar,2013,35(6):29-33.(in Chinese)
[4]向崇文,刘锋,黄宇,等.基于FRFT循环处理的LFM-PRBC雷达信号截获与特征提取[J].弹箭与制导学报,2013,33(2):117-124.Xiang Chongwen,Liu Feng,Huang Yu,et al.Interception and feature extraction of LFM-PRBC Radar signal based on FRFT cyclic processing method[J].Journal of Projectiles,Rockets,Missiles and Guidance,2013,33(2):117-124.(in Chinese)
[5]陈小龙,关键,黄勇,等.分数阶Fourier变换在动目标检测和识别中的应用:回顾和展望[J].信号处理,2013,29(1):85-97.Chen Xiaolong,Guan Jian,Huang Yong,et al.Application of fractional fourier transform in moving target detection and recognition:development and prospect[J].Signal Processing,2013,29(1):85-97.(in Chinese)
[6]齐林,陶然,周思永,等.基于分数阶Fourier变换的多分量LFM信号的检测和参数估计[J].中国科学E辑,2003,33(8):749-759.Qi Lin,Tao Ran,Zhou Siyong,et al.Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform[J].Science in China E,2003,33(8):749-759.(in Chinese)
[7]卫红凯,王平波,蔡志明,等.分数阶Fourier变换极值搜索算法研究[J].电子学报,2010,38(12):2949-2952.Wei Hongkai,Wang Pingbo,Cai Zhiming,et al.Study of algorithm for extremum seeking in the fractional fourier transform[J].Acta Electronica Sinica,2010,38(12):2949-2952.(in Chinese)
[8]耿红梅.BFGS算法综述[J].大众科技,2011(11):3-4,10.Geng Hongmei.A summary of BFGS algorithm[J].Popular Science&Technology,2011(11):3-4,10.(in Chinese)
[9]陈宝林.最优化原理与算法[M].北京:清华大学出版社,2005:39-47.
[10]陶然,邓兵,王越.分数阶傅里叶变换及其应用[M].北京:清华大学出版社,2009:144-147.