变步长约束总体最小二乘空间配准算法

doi:10.16182/j.issn1004731x.joss.201810051

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (10): 4021-4028.doi: 10.16182/j.issn1004731x.joss.201810051

• 短文 • 上一篇

变步长约束总体最小二乘空间配准算法

李家强^1,3, 赵春艳², 陈金立^1,3, 赵荣华², 朱艳萍³

1. 南京信息工程大学气象灾害预报预警与评估协同创新中心,南京 210044;
2. 南京信息工程大学电子与信息工程学院,南京 210044;
3. 江苏省气象探测与信息处理重点实验室,南京 210044

收稿日期:2016-08-29 修回日期:2017-01-09 出版日期:2018-10-10 发布日期:2019-01-04
作者简介:李家强(1976-),男,安徽滁州,博士,副教授,硕导,研究方向为雷达信号/数据处理。
基金资助:
国家自然科学基金(61372066,61302188),江苏省自然科学基金(BK20131005)

Variable Step-size Constrained Total Least Squares Algorithm for Space Registration

Li Jiaqiang^1,3, Zhao Chunyan², Chen Jinli^1,3, Zhao Ronghua², Zhu Yanping³

1. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science & Technology, Nanjing 210044, China;
2. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China; 3.Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing 210044, China

Received:2016-08-29 Revised:2017-01-09 Online:2018-10-10 Published:2019-01-04

摘要/Abstract

摘要： 为了解决雷达组网中误差配准异常导致定位结果不准确这一问题,提出了一种变步长约束总体最小二乘法算法。该算法通过建立步长因子与步数之间的非线性函数关系,使得算法在初始阶段具有步长较大而稳态时步长较小的特点,因此能同时获得较快的收敛速度和较小的稳态误差,减少了收敛步数,提高了收敛后的稳定性,从而降低了异常误差配准对定位精度的影响,使定位结果更加准确。理论推导与仿真结果表明,变步长约束总体最小二乘算法优于约束总体最小二乘算法,进一步验证了该算法的有效性。

关键词: 误差配准异常, 步长因子, 收敛速度, 定位结果

Abstract: To solve the problem of location inaccuracy caused by abnormal error registration, a variable step-size constrained total least squares algorithm is presented. By building a nonlinear function relationship between step size and steps, algorithm step size is relatively large in initial stage and is very small during steady state. So this algorithm can achieve faster convergence rate and smaller steady-state imbalance noise at the same time. This algorithm reduces the convergence steps and improves the stability after convergence. Therefore this algorithm reduces the impact of abnormal error registration on location result. Meanwhile, this algorithm also makes location result more accurate. Theoretical derivation and simulation results show that variable step-size constrained total least squares algorithm is superior to constrained total least squares algorithm. Simulation results also verify the feasibility of the variable step-size constrained total least squares algorithm.

Key words: abnormal error registration, step-size, convergence rate, location result

中图分类号:

TN953

李家强, 赵春艳, 陈金立, 赵荣华, 朱艳萍. 变步长约束总体最小二乘空间配准算法[J]. 系统仿真学报, 2018, 30(10): 4021-4028.

Li Jiaqiang, Zhao Chunyan, Chen Jinli, Zhao Ronghua, Zhu Yanping. Variable Step-size Constrained Total Least Squares Algorithm for Space Registration[J]. Journal of System Simulation, 2018, 30(10): 4021-4028.

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变步长约束总体最小二乘空间配准算法

Variable Step-size Constrained Total Least Squares Algorithm for Space Registration

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