用加权子空间拟合和量子粒子群算法联合估计多普勒频率和波达方向

张志成1; 林君2; 石要武1; 王勇1

doi:10.3788/OPE.20132109.2445

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用加权子空间拟合和量子粒子群算法联合估计多普勒频率和波达方向

信息科学 | 更新时间：2020-08-12

- 用加权子空间拟合和量子粒子群算法联合估计多普勒频率和波达方向
- Joint estimation of Dopplers and DOAs by WSF-QPSO method
- 光学精密工程 2013年21卷第9期页码：2445-2451
- 作者机构：
  
  1. 吉林大学仪器科学与电气工程学院,吉林长春,130026
  2. 吉林大学通信工程学院，吉林长春 130012
- 作者简介：
- 基金信息：
  
  自然科学基金项目();吉林省产业技术研究与开发项目()
- DOI：10.3788/OPE.20132109.2445
  中图分类号： TP391.4
- 收稿日期：2013-01-15，
  
  修回日期：2013-03-22，
  
  网络出版日期：2013-09-30，
  
  纸质出版日期：2013-09-15
- 稿件说明：
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张志成林君石要武王勇. 用加权子空间拟合和量子粒子群算法联合估计多普勒频率和波达方向[J]. 光学精密工程, 2013,21(9): 2445-2451

ZHANG Zhi-cheng LIN Jun SHI Yao-wu WANG Yong. Joint estimation of Dopplers and DOAs by WSF-QPSO method[J]. Editorial Office of Optics and Precision Engineering, 2013,21(9): 2445-2451
张志成林君石要武王勇. 用加权子空间拟合和量子粒子群算法联合估计多普勒频率和波达方向[J]. 光学精密工程, 2013,21(9): 2445-2451 DOI： 10.3788/OPE.20132109.2445.

ZHANG Zhi-cheng LIN Jun SHI Yao-wu WANG Yong. Joint estimation of Dopplers and DOAs by WSF-QPSO method[J]. Editorial Office of Optics and Precision Engineering, 2013,21(9): 2445-2451 DOI： 10.3788/OPE.20132109.2445.

摘要

为了高效、准确地估计多普勒频率和波达方向（DOA），提出了基于加权子空间拟合（WSF）算法和量子粒子群优化（QPSO）算法的WSF-QPSO联合谱估计方法。首先，利用状态空间模型构造包含多普勒频率和DOA信息的广义可观测矩阵；用WSF算法拟合联合谱函数，将参数估计问题转化为多维非线性函数优化问题。然后，利用QPSO算法优化联合谱函数，得到多普勒频率和DOA的估计值。实验结果表明：在信源参数比较接近的情况下，WSF-QPSO方法在信噪比为0 dB时对多普勒频率和DOA估计的均方根误差仅为0.007 5 rad和0.25。与其他方法相比，该方法具有估计精度高、控制参数少、鲁棒性好、参数自动配对等特点，在低信噪比和小样本条件下依然能够得到较满意的参数估计结果。

Abstract

To estimate Doppler frequency and Direction-of-Arrival (DOA) accurately and efficiently

a joint spectrum estimation method based on Weighted Subspace Fitting (WSF) algorithm and Quantum-behaved Particle Swarm Optimization (QPSO) algorithm

namely WSF-QPSO

was presented. First

an extended observability matrix containing the information of Dopplers and DOAs was constructed by using a state-space model

and the joint spectrum function was fitted by using WSF algorithm. Then

the joint parameter estimation was converted to multidimensional nonlinear function optimization. Finally

the Dopplers and DOAs were estimated by optimizing the joint spectrum function using QPSO algorithm. Experimental results indicate that the Root Medium Square Errors (RMSEs) of Dopplers and DOAs estimated from the WSF-QPSO method are 0.007 5 rad and 0.25

respectively when SNR is 0 dB. The proposed method can get high resolution and robust parameter estimation with less control terms

and the parameters are paired automatically. In addition

the WSF-QPSO method can obtain acceptable estimation results even under the condition of low SNR or small snapshot number in comparison with the joint spectrum estimation methods based on subspace decomposition.

关键词

Keywords

references

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