应用序列二次规划的波达方向与多普勒频率联合估计

单泽彪; 石要武; 单泽涛; 刘小松

doi:10.3788/OPE.20152307.2079

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应用序列二次规划的波达方向与多普勒频率联合估计

信息科学 | 更新时间：2020-08-12

- 应用序列二次规划的波达方向与多普勒频率联合估计
- Joint estimation of DOA and Doppler frequency by SQP
- 光学精密工程 2015年23卷第7期页码：2079-2085
- 作者机构：
  
  1. 吉林大学通信工程学院,吉林长春,中国,130012
  2. 诺博橡胶制品有限公司,河北保定,072550
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目(No.51475198)();吉林省青年科研基金资助项目(No.20140520064JH)()
- DOI：10.3788/OPE.20152307.2079
  中图分类号： TN911;TP391
- 收稿日期：2015-02-05，
  
  修回日期：2015-04-03，
  
  纸质出版日期：2015-07-25
- 稿件说明：
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单泽彪, 石要武, 单泽涛等. 应用序列二次规划的波达方向与多普勒频率联合估计[J]. 光学精密工程, 2015,23(7): 2079-2085

SHAN Ze-biao, SHI Yao-wu, SHAN Ze-tao etc. Joint estimation of DOA and Doppler frequency by SQP[J]. Editorial Office of Optics and Precision Engineering, 2015,23(7): 2079-2085
单泽彪, 石要武, 单泽涛等. 应用序列二次规划的波达方向与多普勒频率联合估计[J]. 光学精密工程, 2015,23(7): 2079-2085 DOI： 10.3788/OPE.20152307.2079.

SHAN Ze-biao, SHI Yao-wu, SHAN Ze-tao etc. Joint estimation of DOA and Doppler frequency by SQP[J]. Editorial Office of Optics and Precision Engineering, 2015,23(7): 2079-2085 DOI： 10.3788/OPE.20152307.2079.

摘要

为了快速准确地联合估计阵列信号波达方向(DOA)与多普勒频率

提出了将序列二次规划(SQP)应用于最大似然函数优化的联合谱估计算法。该方法利用空时信号模型通过Hankel矩阵构造出阵列流型中包含DOA与多普勒频率信息的广义天线阵模型

并推导出其最大似然函数

从而将参数估计问题转化为非线性函数优化问题。然后

将SQP方法应用于似然函数的优化求解中

得到DOA与多普勒频率的估计值。最后应用SQP方法、微分进化法、遗传算法和量子粒子群算法分别进行了优化的仿真对比实验。结果表明:提出的算法具有寻优时间短

估计精度高

参数自动配对等特点

在信噪比为0 dB时估计两个目标信号源的DOA与多普勒频率的均方根误差分别为0.263 6°和0.007 6 rad

基本达到了阵列信号处理中参数联合估计方法的设计要求。

Abstract

To estimate the Direction of Arrival (DOA) and Doppler frequency in array signal processing accurately and quickly

a joint spectrum estimation method based on maximum likelihood algorithm and Sequence Quadratic Program(SQP)was presented. With this method

a space-time signal model was used to construct a generalized array manifold matrix containing the information of DOAs and Doppler frequency based on the Hankel matrix

the joint spectrum was fitted using maximum likelihood algorithm

so that the joint parameter estimation was converted to multidimensional nonlinear function optimization. Then

the SQP algorithm was used to solve and optimize the maximum likelihood function and to obtain the estimation of DOAs and Doppler frequency. Finally

the simulation results were compared with the SQP method

differential evolution method

genetic method and quantum particle swarm optimization method. Experimental results indicate that the Root Mean Square Error(RMSE) of DOAs and Doppler frequency estimation are 0.2636°and 0.0076 rad respectively under the condition of estimating two signal sources with 0 dB for SNR. It satisfies the requirements of design of joint parameter estimation method in the array signal processing.

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Keywords

references

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