文章摘要
赵报川,杨涛,赵永峰.采用振速测量的改进统计最优近场声全息方法[J].,2017,36(5):445-454
采用振速测量的改进统计最优近场声全息方法
Improved statistically optimal nearfield acoustical holography base on particle velocity measurement
投稿时间:2016-12-11  修订日期:2017-08-14
中文摘要:
      针对常规统计最优近场声全息在空间多源声场重建过程中所需波函数项数多,重建精度不理想的问题,提出了一种基于振速测量的改进统计最优近场声全息算法。与常规算法往往选用单一的波函数来计算声场传递矩阵不同,改进算法通过根据声源的特点选取合适的波函数组合来计算重建过程中的声场传递矩阵,进而重建出目标声源的声场。通过两组仿真实验验证了该方法的准确性和有效性,并与常规算法进行了详细的对比分析。仿真结果表明改进算法与常规算法相比显著提高了重建精度,在不同频率下的相对误差波动较小,鲁棒性更强,且随着频率的增大相对误差有逐渐减小的趋势;此外,不同的波函数组合,重建结果的相对误差差异很大,当选取的波函数与声源共形且数量一致时重建效果最好。
英文摘要:
      To reconstruct the sound fields generated by multiple spatial sound sources, the conventional statistically optimized near-field acoustical holography(SONAH) needs a large number of higher-order elementary wave functions to represent the sound field, and the results of reconstruction are generally unsatisfactory. In general, it is more efficient to predict the sound fields by using a basis of wave functions that conform to the source shapes and fewer terms are required for an accurate reconstruction than a basis that does not reflect these source properties. In conventional method, a single wave function type is often used to reconstruct the sound fields, while the improved SONAH use a set of elementary wave functions which was selected depending on the features of sound sources to calculate the sound fields transition matrix to reconstruct the sound fields. The improved method can alleviate the need for higher-order elementary wave functions and decrease error. Two sets of numerical simulations are used to demonstrate the validity and applicability of reconstruction by using this improved method. The results show that the proposed method achieves more accurate results than that of the conventional SONAH methods. Moreover, the relative errors have a small disturbance (under 10%) with the frequency of sound sources changing from 200Hz to 2000Hz, which suggests that the improved method has a strong robustness to frequency domain. The selection of the sets of elementary wave functions has a great influence on the accuracy of a reconstruction. It is found that the improved method has an accurate reconstruction when the sets of elementary wave functions are conformal with the sound source shapes and equal to the number of sound sources.
DOI:10.11684/j.issn.1000-310X.2017.05.011
中文关键词: 振速测量  统计最优  声全息  降阶  波函数
英文关键词: velocity measurement  statistically optimization  near-field acoustical holography  order reduction  wave function
基金项目:国家自然科学基金(F011102),特殊环境机器人技术四川省重点实验室开放基金(13zxtk06)
作者单位E-mail
赵报川 西南科技大学 信息工程学院 ravying@outlook.com 
杨涛 西南科技大学 信息工程学院西南科技大学特殊环境机器人技术四川省重点实验室 yangtao@swust.edu.cn 
赵永峰 西南科技大学 信息工程学院 2388356024@qq.com 
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