摘要
针对正交频分复用(OFDM)系统利用求根多重信号分类(Root-MUSIC)算法进行到达时间(TOA)和波达方向(DOA)联合估计时,由于多项式求根过程中所求根为共轭对称形式存在计算冗余的问题,提出一种基于谱分解的TOA和DOA联合估计算法——SF-Root-MUSIC算法。该算法基于劳伦特多项式的结构特点,利用谱分解将求根多项式的阶次降低一半,降低了计算复杂度,完成独立的TOA和DOA估计,并通过构造代价函数进行参数配对,完成联合估计。仿真结果表明,SF-Root-MUSIC算法与Root-MUSIC算法具有相似的估计性能,且复杂度更低,在阵元数为12、子载波个数为512、快拍数为512时复杂度可降低69.94%,在保证精度的同时,以更低的复杂度实现TOA和DOA的联合估计,更适用于实时计算。
When the OFDM system uses the Root-MUSIC algorithm to complete the joint TOA and DOA estimation,the required roots appeared in the form of conjugating symmetry which will be computational redundancy.Aiming at this problem,a Root-MUSIC algorithm based on spectral factorization—SF-Root-MUSIC algorithm is proposed.Based on the structural characteristics of Laurent polynomials,the algorithm uses spectral decomposition to reduce the order for the root polynomial by a half,which reduces the computational complexity,completes independent delay and angle estimation,and constructs a cost function of parameter pairing,complete the joint estimation.The simulation results show that the SF-Root-MUSIC algorithm has similar estimation performance with the Root-MUSIC algorithm,and its complexity is lower.When the number of array elements is 12,the number of subcarriers is 512 and the number of snapshots is 512,the complexity can be reduced by 69.94%.The proposed algorithm can achieve the joint estimation of TOA and DOA with lower complexity while ensuring the accuracy,which verifies the proposed algorithm is more suitable for real-time computing.
作者
李铭
侯艳丽
苏佳
Li Ming;Hou Yanli;Su Jia(School of Information Science and Engineering,Hebei University of Science and Technology,Shijiazhuang 050018,China)
出处
《电子测量技术》
北大核心
2023年第10期155-163,共9页
Electronic Measurement Technology
基金
河北省重点研发计划(21355901D)项目资助。
