Study of Algorithm for Extremum Seeking in the Fractional Fourier Transform

WEI Hong-kai; WANG Ping-bo; CAI Zhi-ming; YAO Wan-jun

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Study of Algorithm for Extremum Seeking in the Fractional Fourier Transform

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- Study of Algorithm for Extremum Seeking in the Fractional Fourier Transform
- Acta Electronica Sinica Vol. 38, Issue 12, Pages: 2949-2952(2010)
- 作者机构：
  
  1. 海军工程大学电子工程学院,湖北,武汉,430033
  2. 海军兵种指挥学院,广东,广州,510430
  3. 海军工程大学电子工程学院湖北武汉,430033
  4. 海军兵种指挥学院广东广州,510430
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP301
- Published：2010
- 稿件说明：
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WEI Hong-kai, WANG Ping-bo, CAI Zhi-ming, et al. Study of Algorithm for Extremum Seeking in the Fractional Fourier Transform[J]. Acta Electronica Sinica, 2010, 38(12): 2949-2952.
DOI：

WEI Hong-kai, WANG Ping-bo, CAI Zhi-ming, et al. Study of Algorithm for Extremum Seeking in the Fractional Fourier Transform[J]. Acta Electronica Sinica, 2010, 38(12): 2949-2952. DOI：

摘要

针对步进式搜索算法在分数阶Fourier变换域二维平面效率、精度低下的问题

通过推导分数阶Fourier域极值函数的一阶导数及其快速算法

将全局寻优效果好的混沌优化法和局部搜索能力强的多步拟牛顿法相结合

提出了分数阶Fourier变换极值混合优化算法.并对混合算法的全局收敛性进行了证明.最后

通过仿真实例

验证了混合算法的全局收敛性及其快速收敛能力.混合优化算法的收敛速度和精度均好于步进式搜索法、混沌优化法及步进式-多步拟牛顿混合法.

Abstract

In order to overcome the problem of step by step searching method in the two-dimensional Fractional Fourier domain

a hybrid algorithm combines chaos optimization method and multi-step Quasi-Newton method is proposed by deriving the first derivative and its fast computation algorithm.And the global convergence of the algorithm is proved and tested.The simulation result indicates that the presented method is preferable than that of direct searching method

chaos optimization algorithm and multi-step quasi-Newton method mixed with direct searching method considering computation efficiency and accuracy.

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