未知传输时间下基于凸优化的稳健TOA定位  

Robust TOA Localization Based on Convex Relaxation With Unknown Transmission Time

作　　者：余柳飞 俞建定[1] 李博辉 YU Liufei;YU Jianding;LI Bohui(College of Information Science and Engineering,Ningbo University,Ningbo 315000,China;Jiangsu Dake Information Technology Co.,Ltd,Nanjing 210000,Jiangsu)

机构地区：[1]宁波大学信息科学与工程学院,浙江宁波315000 [2]江苏达科信息科技有限公司,江苏南京210000

出　　处：《无线通信技术》2024年第3期7-12,共6页Wireless Communication Technology

基　　金：国家自然科学基金(61571250);浙江省自然科学基金(LY22F010018)。

摘　　要：本文考虑了传输时间未知时基于到达时间(TOA)的源定位问题。首先采用加权最小二乘(WLS)准则构建了基于约束加权最小二乘(CWLS)的源定位问题,然后利用凸松弛技术,将CWLS问题松弛为一个新的拟凸分式规划(FP)问题,最终将其转化为一个等价的半定和二阶锥混合规划(SD/SOCP)问题以提供有效的求解算法。进一步通过一系列二阶锥约束和一个惩罚项来进一步收紧约束条件,从而提高估计精度。计算机仿真结果表明,新方法能够达到Cramer-Rao下界(CRLB),并且对惩罚因子的选择具有良好的鲁棒性。This paper discusses the Time of Arrival(TOA)based source localization problem when the transmission time is unknown.A constrained weighted least squares(CWLS)problem based on weighted least squares(WLS)criterion is proposed.To provide an effective solution algorithm,this problem is relaxed into a novel quasi-convex fractional programming(FP)problem by using the con-vex relaxation technique,which is then transformed into an equivalent mixed semidefinite and second-order cone programming(SD/SOCP)problem.By adding a series of second order cone con-straints and a penalty term,this SD/SOCP problem is further tightened to increase the estimation ac-curacy.Computer simulation results show that the proposed method can reach the Cramer-Rao lower bound(CRLB)and has good robustness in selecting penalty factors.

关 键 词：源定位 到达时间 分式规划 半定和二阶锥规划 

分 类 号：TN929.5[电子电信—通信与信息系统]