第20卷第1期 2012年1月
文章编号
1004-924X(2012)01-0197-07
光学精密工程
Optics and Precision Engineering
Vol.20No.1
Jan.2012
求解粒子群粒度分布的改进Projection算法
葛宝臻，，马云峰，魏耀林
（天津大学精密仪器与光电子工程学院光电信息技术教育部重点实验室，天津300072）
摘要：针对在激光粒度分布反演中由于选代算法的选代步长选取不当致使反演结果存在严重展宽和拖尾的间题，提出一种调整选代步长的方法应用于Projection算法来提高测量精度，该方法首先基于测距相似度原理得到光能分布列向量与光能系数矩阵行向量之间的相似度曲线，经滤波和归一化处理后得到被测粒子群的预测粒度分布；然后根据预测粒度分布结果确定送代步长的大小，使用本文提出的改进Projection算法测量国家标准物质GWB(E)120046的D50误差为 600（00%9%%90
误差为2.167。测量结果表明，该算法可有效地提高算法的抗噪声能力、测量精度和分辨率。关键词：激光粒度仅，粒度分市测量；Projection算法；造代步长
中图分类号：TP391.4
文献标识码：A
doi.10, 3788/OPE.20122001.0197
Improvedprojectionalgorithmfor measuring distribution of particle sizes
GE Bao-zhen', MA Yun-feng,WEI Yao-lin
(KeyLaboratoryof Opto-electronicsInformationTechnology of theMinistry ofEducation,
CollegeofPrecisionInstrumentsandOpto-electronicsEngineering,
TianjinUniversity，Tianjin300072,China)
Correspondingauthor，E-mail：ma_yunfeng851116@163.com
Abstract: In consideration of the serious size distribution broadening and tailing phenomena come from improper iterative steps in inversing laser particle size distribution, this paper presents a method to se-lect the iterative step for Projection algorithms to improve measurement accuracy. Based on the simi-larity theory, this method obtains the similarity between the row vector of light energy distribution and the course quantity of light energy coefficient matrix. Then, it gets the predict distribution of par-ticle size after filtering and normalized processing. Furthermore, according to the predicted result, the iteration step can be calculated. The measurement results for national standard particles GWB(E) 120046 show that the measuring errors for D50,D10,and D90 are0.6%,1.1% and -0.6%, respectively,and the light energy logarithm error of mix standard particles GWB(E)120041 and GWB(E)120049 is 2. 167. Results demonstrate that the algorithm can effectively improve noise immunity, measurement accuracy and resolution.
收稿日期：2011-04-14；修订日期：2011-07-30
基金项目：国家自然科学基金科学仪器专项基金资助项目（No.60527002）