基于时域多分辨分析方法的长波信号时延预测  

Time-delay prediction of long wave signal based on Multiresolution Time-Domain method

作　　者：韩欣宇 何莉敏 杜永兴[1] HAN Xinyu;HE Limin;DU Yongxing(Information Engineering School,Inner Mongolia University of Science and Technology,Baotou 014010,China;Science School,Inner Mongolia University of Science and Technology,Baotou 014010,China)

机构地区：[1]内蒙古科技大学信息工程学院,内蒙古包头014010 [2]内蒙古科技大学理学院,内蒙古包头014010

出　　处：《内蒙古科技大学学报》2024年第2期178-182,共5页Journal of Inner Mongolia University of Science and Technology

基　　金：国家自然科学基金(61961033);内蒙古自治区自然科学基金(2021LHMS01006);内蒙古科技大学基本科研业务费专项(055)。

摘　　要：长波地波传播时延是决定陆基导航定位系统精度的关键,时域有限差分(Finite Difference-Time Domain,FDTD)方法可以提高其精度。但是FDTD方法在计算长距离的模型问题时迭代次数随之增多导致数值计算误差变大。主要通过基于圆柱坐标系下采用具有紧支撑特性的二阶矩Daubechies小波函数为尺度函数的时域多分辨分析(Multiresolution Time Domain,MRTD)方法来提高数值计算精度。随后对MRTD方法进行色散分析,最后将该方法应用于低频地波的传播预测中,提取观测点的衰减因子相位,与使用FDTD数值算法得到的结果进行对比,结果表明:MRTD方法可以在保持精度的前提下用时比FDTD更短。Long-wave ground wave propagation delay is the key to determine the accuracy of land-based navigation and positioning system,which can be improved by Finite Difference-Time Domain method.However,a larger amount of numerical calculation errors occur when this method are used in calculating long-distance model problems by increased number of iterations.In this paper,Multiresolution Time Domain method,the scale function that based on cylindrical coordinates using a second moment of Daubechies wavelet function with compactly supported characteristic are used to improve precision of the numerical calculation.Then,the dispersion analysis is carried out in this method.Finally,the method is applied to the low-frequency ground wave propagation prediction model,and the attenuation factor phase of the observation point is extracted.Compared with the results obtained by Finite Difference-Time Domain method,the Multiresolution Time Domain method use less time than the Finite Difference-Time Domain method on the premise of accuracy.

关 键 词：时域有限差分法 时域多分辨方法 衰减因子相位 Daubechies小波尺度函数 

分 类 号：TN011[电子电信—物理电子学]