Joint estimation of DOA and Doppler frequency by SQP

SHAN Ze-biao; SHI Yao-wu; SHAN Ze-tao; LIU Xiao-song

doi:10.3788/OPE.20152307.2079

您当前的位置：

首页 >

文章列表页 >

Joint estimation of DOA and Doppler frequency by SQP

更新时间：2020-08-12

- Joint estimation of DOA and Doppler frequency by SQP
- Optics and Precision Engineering Vol. 23, Issue 7, Pages: 2079-2085(2015)
- 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：
- DOI：10.3788/OPE.20152307.2079
  CLC： TN911;TP391
- Received：05 February 2015，
  
  Revised：03 April 2015，
  
  Published：25 July 2015
- 稿件说明：
移动端阅览
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.

关键词

Keywords

references

REDDY V V, NG B P, KHONG A W H. Derivative-constrained frequency-domain wideband DOA estimation [J]. Multidimensional Systems and Signal Processing, 2014, 25(1): 211-233.

ZHANG Z H, LIN J, SHI Y W. Application of artificial bee colony algorithm to maximum likelihood DOA estimation[J]. Journal of Bionic Engineering, 2013, 10(1):100-109.

张志成,温炎,石要武. 利用隔离小生境混合蛙跳方法联合估计波达方向和多普勒频率[J]. 光学精密工程,2014,22(9): 2565-2571. ZHANG ZH CH, WEN Y, SHI Y W. Joint estimation of DOAs and Doppler frequency using isolation niche shuffled frog leaping algorithm [J]. Opt. Precision Eng., 2014, 22(9): 2565-2571. (in Chinese)

张志成, 林君, 石要武,等. 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 ZH CH, LIN J, SHI Y W. Joint estimation of Doppler and DOAs by WSF-QPSO method [J]. Opt. Precision Eng., 2013, 21(9):2445-2451. (in Chinese)

JACKSON L B, CHIEN C H. Frequency and bearing estimation by two-dimensional linear prediction[C]. Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Washington, DC, USA: ICASSP, 1979,4: 665-668.

LIN J D, FANG W H, WANG Y Y, et al.. FSF MUSIC for joint DOA and frequency estimation and its performance analysis[J]. IEEE Transactions on Signal Processing, 2006, 54(12): 4529-4542.

LEMMA A N, VAN D V A J, DEPRETTERE E F. Analysis of ESPRIT based joint angle-frequency estimation[C]. Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Istanbul, Turkey: ICASSP, 2000: 3053-3056.

LEMMA A N, VAN D V A J, DEPRETTERE E F. Analysis of joint angle-frequency estimation using ESPRIT[J]. IEEE Transactions on Signal Processing, 2003, 51(5): 1264-1283.

ATHELEY F. Asymptotically decoupled angle-frequency estimation with sensor arrays[C]. The Thirty-Third Asilomar Conference on Signal, Systems and Computers, Pacific Grove, USA: ACSSC, 1999: 1098-1102.

王惠刚,刘强. 多普勒方位联合估计的蒙特卡洛算法[J]. 电子学报, 2009, 37(9):1965-1970. WANG H G, LIU Q. A Monte Carlo method for joint estimation of Dopplers and DOAs[J]. Acta Electronica Sinica, 2009, 37(9): 1965-1970. (in Chinese)

WANG H G, KAY S. Maximum likelihood angle-Doppler estimator using importance sampling[J]. IEEE Transactions on Aerospace and Electronics Systems, 2010, 46(2): 610-622.

岳武陵, 吴勇. 基于多目标优化的空间直线度误差评定[J]. 光学精密工程, 2008, 16 (8):1423-1428. YUE W L, WU Y. Evaluation of spatial straightness errors based on multi-target optimization[J]. Opt. Precision Eng., 2008, 16(8): 1423-1428. (in Chinese)

Views

398

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Estimation of DOA and polarition parameters for single electromagnetic vector sensor based on FLOCC

DOA tracking of moving targets by artificial bee colony algorithm

Quaternion min-norm algorithm for DOA estimation with acoustic vector sensor array

Joint estimation of Dopplers and DOAs by WSF-QPSO method

Camera tracking in industrial augmented reality

Related Author

Xiao-hui ZHAO

Xin-bo LI

Yao-wu SHI

Yi-ran SHI

ZHANG Zhi-cheng

LI Xin-bo

LI Xiao-qing

LIU Guo-jun

Related Institution

Changchun Meteorological Instrument Research Institute

College of Biological and Agricultural Engineering, Jilin University

Key Laboratory of Bionic Engineering of the Ministry of Education, Jilin University

School of Communication Engineering, Jilin University

School of Mechanical Science and Engineering, Jilin University

AI问答

Address：No.3888 Dong Nanhu Road, Changchun, Jilin, China Postal code：130033
Tel：0431-86176855 Email：gxjmgc@ciomp.ac.cn
Technical support is provided by Beijing Founder electronics co., LTD 吉ICP备11002662号-17 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰