关于小波分解原子时算法的有效性.pdfVIP

学兔兔 第36卷 第12期 仪 器 仪 表 学 报 V0l_36 No．12 2015年 12月 Chinese Journal of Scientific Instrument Dee．2015 关于小波分解 原子时 算法的有效性 刘娟花 ，柯熙政 (1．西安理工大学自动化与信息工程学院 西安 710048；2．西安工程大学电子信息学院 西安 710048) 摘 要：小波分解原子时算法已经在导航定位领域获得了应用，人们也试图将该算法推广到其他工程领域，已取得了初步的进 展。但该方法究竟是一种偶然的现象还是有其数学基础，是迫切需要解决的一个问题。从小波分析理论出发，从数学上解释了 小波分解原子时算法优于经典加权算法的数学原理。数学分析结果表明：小波分解原子时算法的计算精度优于经典加权算法， 为该算法的推广应用奠定了数学基础。最后，通过实例验证了小波分解原子时算法的有效性。 关键词：小波分解；数据融合；原子时算法；小波方差；Allan方差 中图分类号：TN911．23 TH714 文献标识码：A 国家标准学科分类代码：510．40 510．99 590．35 Effectiveness of the wavelet decomposition atomic time algorithm Liu Juanhua 一，Ke Xizheng (J．School ofAutomation and Information Engineering，Xi’an University of Technology，Xi’an 710048，China； 2．School ofElectronics and Information，Xi’an Polytechnic University，Xi’an 710048，China) Abstract：The atomic time algorithm using wavelet decomposition has been applied in navigation and localization fields，people are also trying to extend the algorithm to other engineering fields and have achieved initial progress．However，this method is an accidental phe— nomenon or has its mathematical foundation，which is an urgent problem to be solved．In this paper，starting from the wavelet analysis theory，the mathematical principle based on which the wavelet decomposition atomic time algorithm is better than the classical weighted algorithm is explained mathematically．Mathematical analysis result shows that the computational accuracy of the wavelet decomposition atomic time algorithm is superior tO the classical weighted algorithm，which lays the mathematical foundation for its popularization and application．Finally，the effectiveness of the wavelet decomposition atomic time algor