K空间抽样格林函数在正向重构时的误差分析

唐 波; 苑秉成; 徐 瑜

doi:10.11993/j.issn.1673-1948.2012.02.004

K空间抽样格林函数在正向重构时的误差分析

doi: 10.11993/j.issn.1673-1948.2012.02.004

海军工程大学, 兵器工程系, 武汉湖北, 430033

详细信息

作者简介:
唐波(1980-), 男, 在读博士, 主要研究方向为制导与控制技术.

中图分类号: TJ630; TB525
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出版历程
- 收稿日期: 2011-08-27
- 修回日期: 2011-09-29
- 刊出日期: 2012-04-20

Error Analysis of Green′s Function Sampled in K-space for Forward Reconstruction

Department of weaponry Engineering, Naval University of Engineering, Wuhan 430033, China

摘要

摘要: 在近场声全息重构过程中, 当采用K空间抽样格林函数进行大距离正向重构时, 会产生极大的误差, 而传统的加窗处理不能有效抑制这种误差的产生。文中在分析了误差是K空间抽样格林函数幅值突变而产生的频谱泄露和边缘吉布斯效应的基础上, 提出了有针对性的改变窗函数的截止波数, 使格林函数幅值突变部位得到有效平滑, 进而抑制这种误差产生的方法。仿真结果表明, 经改进的窗函数能够对K空间抽样格林函数大距离正向重构时的误差起到明显的抑制作用, 使此条件下的全息重构具有更加良好的效果。
- 近场声全息 /
- K空间 /
- 格林函数 /
- 正向重构 /
- 窗函数
Abstract: During the near-field acoustic holographic reconstruction, tremendous errors will appear when using Green′s function sampled in K-space for long distance forward reconstruction, and conventional window function cannot restrain the error efficiently. In this paper, the error is analyzed to be generated by spectrum leakage and edge Gibbs phenomenon derived from amplitude discontinuity of Green′s function sampled in K-space, hence a corresponding method for changing the cut-off wave number of window function is represented to smooth the amplitude discontinuity and further to restrain the error. Simulation result shows that the improved window function can obviously reduce the error in the holographic aperture, and the present method is efficient in restraining the error generated by spectrum leakage and Gibbs phenomenon derived from amplitude discontinuity of Green′s function sampled in K-space.
- near-field acoustic holography /
- K-space /
- Green′s function /
- forward reconstruction /
- window function

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参考文献(9)

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