基于BP优化算法的PSD非线性校正

张欣婷;亢磊;吴倩倩;张婉怡;李玉瑶

应用光学 ›› 2016, Vol. 37 ›› Issue (3) : 415-418.

应用光学 ›› 2016, Vol. 37 ›› Issue (3) : 415-418. DOI: 10.5768/JAO201637.0303003

基于BP优化算法的PSD非线性校正

  • 张欣婷1, 亢磊2, 吴倩倩1, 张婉怡1, 李玉瑶1
作者信息 +

PSD nonlinear correction based on BP optimization algorithm

  • Zhang Xinting1, Kang Lei2, Wu Qianqian1, Zhang Wanyi1, Li Yuyao1
Author information +
文章历史 +

摘要

针对位置敏感探测器(PSD)固有的非线性,提出一种基于BP优化算法的PSD非线性校正方法。以传统的牛顿算法为基础,推导了LevenbergMarquardt算法,即BP优化算法的相关原理。采用Matlab软件编程,网络采用具有2个中间隐层的结构形式,2个隐层使用的神经元数分别为40和30,最大训练次数取500次,利用sim函数计算并仿真网络输出,网络输出误差均在0.001 mm之内,其中最大误差不超过0.003 mm,实现了对PSD非线性的校正。

Abstract

For the inherent nonlinearity of position sensitive detector (PSD),a PSD nonlinear correction method based on backpropagation (BP) optimization algorithm was proposed.Based on the traditional Newton algorithm , the relevant principle of LevenbergMarquardt algorithm was deduced, that is the BP optimization algorithm.The Matlab software was used for programming, the network utilized the structure having 2 hidden layers,and the numbers of neurons for them were 40 and 30,respectively,the max training time was 500,and finally the results were computed by sim function and outputed through simulated network.Through verified by experiment, the network output error is almost within 0.001 mm, of which the maximum error is less than 0.003 mm, achieving the PSD nonlinear correction.

关键词

神经网络 / BP优化算法 / PSD非线性

Key words

neural networks / BP optimization algorithm / PSD nonlinear

引用本文

导出引用
张欣婷, 亢磊, 吴倩倩, 张婉怡, 李玉瑶. 基于BP优化算法的PSD非线性校正. 应用光学. 2016, 37(3): 415-418 https://doi.org/10.5768/JAO201637.0303003
Zhang Xinting, Kang Lei, Wu Qianqian, Zhang Wanyi, Li Yuyao. PSD nonlinear correction based on BP optimization algorithm. Journal of Applied Optics. 2016, 37(3): 415-418 https://doi.org/10.5768/JAO201637.0303003

基金

吉林省教育厅项目(高精度光电定心仪的研究)

参考文献

1]Ortega J M,Rheinboldt W G. Iterative solution of nonlinear equations in several variables[M].New York:Academic Press,2010.
[2]Li Qian,Li Tianze,Xie Aizhang. Two-dimensional PSD nonlinear correction based on newton interpolation algorithm[J]. Journal of Shandong University of Technology, 2015,16 (3): 112-116.
李倩,李田泽,谢爱章.基于牛顿插值算法的二维PSD非线性校正[J].山东理工大学报,2015,16(3):112-116.
[3]Horn R A,Johonson C R. Matrix analysis[M].Cambridge: Cambridge University Press,2013.
[4]Lipschutz S. Theory and problems of linear algebra[M].New York:McGraw-Hill,2012.
[5]Li Bo,Gao Yi,Cao Guohua. Study on the nonlinear correction method of shafting test system based on the PSD [J].Electrical and Mechanical Engineering, 2013,19 (3): 58-66.
李博,高艺,曹国华,等.基于PSD的轴系对中测试系统非线性校正方法研究[J].机电工程,2013,19(3): 58-66.
[6]Gao Juan. Artif

13

Accesses

0

Citation

Detail

段落导航
相关文章

/