基于Hilbert-Huang变换的数字全息图中的零级项抑制

计算物理 ›› 2009, Vol. 26 ›› Issue (4): 603-608.

基于Hilbert-Huang变换的数字全息图中的零级项抑制

柴晓冬¹, 李晓辉²

上海工程技术大学轨道交通学院, 上海 201620;
2. 安徽大学计算智能与信号处理教育部重点实验室, 安徽合肥 230039

收稿日期:2007-12-13 修回日期:2008-09-08 出版日期:2009-07-25 发布日期:2009-07-25
作者简介:柴晓冬(1962-),男,河南固始,教授,博士,主要从事全息成像技术及信号处理等领域的研究.
基金资助:
国家自然科学基金(60572129);上海市教育委员会重点学科建设(J51401)资助项目

Suppression of Zero-order Term in Digital Holography Based on Hilbert-Huang Transform

CHAI Xiaodong¹, LI Xiaohui²

1. College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China;
2. The Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China

Received:2007-12-13 Revised:2008-09-08 Online:2009-07-25 Published:2009-07-25

摘要/Abstract

摘要： 针对数字全息图中的零级项问题,提出一种用Hilbert-Huang变换对零级项进行抑制的方法.首先将二维数字全息图数据展开为一维数据,然后用Hilbert-Huang变换进行经验模型分解,得到第一层的本征模函数,该函数包含了全息图的高频分量,继续分解,得到第二层的本征模函数,该函数包含了全息图的直流分量.实验结果证明,将第一层的本征模函数进行再现,即为零级项得到有效抑制的共轭像,第二层的本征模函数为零级项.该方法只需在空域中进行一次经验模型分解就可有效抑制零级项,较好地保存了原物波信息,在计算速度上具有明显优势.

关键词: 信息光学, 光学信号处理, 数字全息图, Hilbert-Huang变换, 零级项

Abstract: A zero-order term suppression method for digital holography with Hilbert-Huang transform is proposed.Two-dimensional hologram data are changed into one-dimensional data.The first order of intrinsic mode functions containing high frequency of hologram is obtained by Hilbert-Huang transform through empirical mode decomposition.The second order of intrinsic mode functions containing direct current component of hologram is obtained similarly.Experiments show that reconstructed image of the first order of intrinsic mode functions represents conjugate image with suppressed zero-order term,and the second order of intrinsic mode functions represent the zero-order term.The proposed method preserves effectively information of original complex-wave and shows advantage in computational speed since it decomposes empirical mode decomposition once and obtains suppressed zero-order term in space frequency field well.

Key words: information optics, optical signal processing, digital holography, Hilbert-Huang transform, the zero-order term

中图分类号:

O438

柴晓冬, 李晓辉. 基于Hilbert-Huang变换的数字全息图中的零级项抑制[J]. 计算物理, 2009, 26(4): 603-608.

CHAI Xiaodong, LI Xiaohui. Suppression of Zero-order Term in Digital Holography Based on Hilbert-Huang Transform[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(4): 603-608.