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

LI Xin-bo; LI Xiao-qing; LIU Guo-jun; SHI Yao-wu; YANG Zhi-gang

doi:10.3788/OPE.20142207.1969

您当前的位置：

首页 >

文章列表页 >

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

更新时间：2020-08-13

- Quaternion min-norm algorithm for DOA estimation with acoustic vector sensor array
- Optics and Precision Engineering Vol. 22, Issue 7, Pages: 1969-1975(2014)
- 作者机构：
  
  1. 吉林大学机械科学与工程学院,吉林长春,中国,130025
  2. 吉林大学通信工程学院,吉林长春,130022
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20142207.1969
  CLC： TP391
- Received：26 January 2014，
  
  Revised：05 March 2014，
  
  Published：25 July 2014
- 稿件说明：
移动端阅览
李新波, 李晓青, 刘国君等. 用于声矢量阵列波达方向估计的四元数最小范数法[J]. 光学精密工程, 2014,22(7): 1969-1975

LI Xin-bo, LI Xiao-qing, LIU Guo-jun etc. Quaternion min-norm algorithm for DOA estimation with acoustic vector sensor array[J]. Editorial Office of Optics and Precision Engineering, 2014,22(7): 1969-1975
李新波, 李晓青, 刘国君等. 用于声矢量阵列波达方向估计的四元数最小范数法[J]. 光学精密工程, 2014,22(7): 1969-1975 DOI： 10.3788/OPE.20142207.1969.

LI Xin-bo, LI Xiao-qing, LIU Guo-jun etc. Quaternion min-norm algorithm for DOA estimation with acoustic vector sensor array[J]. Editorial Office of Optics and Precision Engineering, 2014,22(7): 1969-1975 DOI： 10.3788/OPE.20142207.1969.

摘要

由于四元数MUSIC（Multiple Signal Classification）算法计算量较大，本文结合声矢量传感器的四元数导向矢量模型，提出了一种声矢量阵列波达方向估计的四元数最小范数法。首先，将声矢量阵列输出协方差矩阵奇异值分解所得到的（

M-N

）×

维（

为阵元数、

为信源数）噪声子空间依最小范数（Minimum-Norm，MN）准则构建为一个新的四元数域1×

维噪声矢量。接着，提出了简化的谱峰搜索公式，理论分析了四元数最小范数法在搜索计算量上的优势。对提出的算法与Q-MUSIC算法进行了对比。结果显示：该算法至少能节省50%的谱峰搜索量。同时，提出的算法构建的低维噪声矢量与导向矢量间的正交性优于高维噪声子空间与导向矢量间的正交性，在0 dB时，其范德蒙范数和谱峰分别为Q-MUSIC算法的1/3和3倍。另外，该算法在减小谱峰搜索量的同时，可以较好地分辨信源波达方向，且其统计特性与四元数MUSIC算法相当。提出的算法不局限于L线阵，也适用于双平行线阵及面阵。

Abstract

To reduce the calculation amount of quaternion Multiple Signal Classification (MUSIC) algorithm

a Minimum Norm(MN) quaternion method based on the quaternion form of an acoustic sensor vector was proposed for estimating Direction of Arrival (DOA).First

based on the MN principle

the

(M-N)×M

dimension (

is the number of array sensors

is the number of signal sources) orthogonal noise subspace vectors were converted to a 1×

dimension quaternion noise vector.Then

a simplified formula for peak search was proposed.The searching computation amount of Quaternion MN(Q-MN)was analyzed theoretically.Compared with the Q-MUSIC algorithm

the Q-MN algorithm can save at least 50% of the peak search volume.Experimental results show that the orthogonality of the steering vector with the low-dimensional noise vector derived by proposed method is superior to that with high dimensional noise subspace.When the Signal to Noise Ratio (SNR) is 0 dB

the Vandermonde norm and the spatial spectrum peak value of Q-MN algorithm are 1/3 times and 3 times as much as those of Q-MUSIC.The Q-MN algorithm can successfully identify the DOA of signal sources

and its resolution is equivalent to that of Q-MUSIC algorithm.Moreover

it can be applied to not only L-shaped arrays

but also plane arrays and parallel linear arrays.

关键词

Keywords

references

孙贵青,李启虎. 声矢量传感器研究进展[J]. 声学学报,2004,29(6):481-490. SUN G Q,LI Q H. Research progress on acoustic vector sensor[J]. Journal of Acoustics,2004,29(6):481-490. (in Chinese)

黄家才,陶建武,温秀兰. 电磁矢量传感器原位误差校正方法[J]. 电子学报,2009,37(2):351-356. HUANG J C,TAO J W,WEN X L. Original error correction of electromagnetic vector sensor[J]. Journal of Electronics,2009,37 (2) :351-356. (in Chinese)

张揽月,杨徳森. 基于MUSIC算法的矢量水听器阵源方位估计[J]. 哈尔滨工程大学学报,2006,1(25):30-33. ZHANG L Y,YANG D S. Vector hydrophone array source azimuth estimation based on MUSIC algorithm[J]. Journal of Harbin Engineering University,2006,1(25) :30-33. (in Chinese)

SEBASTIAN M,NICOLAS L B,JEROME I M. High resolution vector-sensor array processing using quaternions[J]. IEEE Transactions on Signal Processing, 2005,13:918-923.

康晓涛,王志洋,康博宇,等. 四元数在均匀圆形矢量传感器阵列信号参数估计中的应用[J]. 吉林大学学报工学版,2013,42(增刊):154-159. KANG X T,WANG ZH Y,KANG B Y,et al. Application of quaternion vector sensor in the uniform circular array signal parameter estimation[J]. Journal of Jilin University:Engineering and Technology Edition, 2013,42(sup.):154-159. (in Chinese)

SEBASTIANM,NICOLAS L B. High resolution vector-sensor array processing using quaternions. 2005 IEEE/SP 13th Workshop on Statistical Signal Processing,2005:918-923.

李新波,孙海欣,李晓青,等. 基于四元数MUSIC算法的声矢量传感器阵列二维波达角估计[J]. 吉林大学学报工学版,2014,43(cnki优先出版). LI X B,SUN H X,LI X Q,et al. 2-D direction of arrival estimation with acoustic vector sensor array based on quarternions MUSIC algorithm[J]. Journal of Jilin University:Engineering and Technology Edition),2014,43(Priority Publishing in CNKI). (in Chinese)

何光进,程锦房,张炜. 基于四元数的声压振速联合方位估计算法[J]. 武汉理工大学学报,2012,4(36):712-716. HE G J,CHENG J F,ZHANG W. Sound pressure and velocity joint estimation algorithm based on quaternion[J]. Journal of Wuhan University of Technology,2012,4(36) :712-716. (in Chinese)

NICOLAS L B,SEBASTIAN M,JEROME I M. MUSIC algorithm for vector-sensors array using biquaternions[J]. IEEE Transactions on Signal Processing, 2007,55(9):4523-4533.

SEBASTIAN M,NICOLAS L B,JEROME I M. Quaternion-MUSIC for vector-sensor array processing[J]. IEEE Transactions on Signal Processing, 2006,54(4):1218-1229.

LAVATE T B,KOKATE V K,SAPKAL A M. Performance analysis of MUSIC and ESPRIT DOA estimation algorithms for adaptive array smart antenna in mobile communication. IEEE Second International Conference on Computer and Network Technology (ICCNT),2010:308-311.

LI Y,ZH J Q,H B,et al. A novel 2-D quaternion ESPRIT for joint DOA and polarization estimation with crossed-dipole arrays. Industrial Technology (ICIT),2013:1038-1043.

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. ZH ZH CH,LIN J,SHI Y W,et al. Joint estimation of Dopplers and DOAs by WSF-QPSO method[J]. Opt. Precision Eng.,2013,21 (9) :2445-2451. (in Chinese)

张志成,石要武. 利用状态空间模型联合估计波达方向和频率[J]. 光学精密工程,2011,19(4):916-921. ZH ZH CH,SHI Y W. Estimation of direction of arrival and frequency based on state-space model.[J]. Opt. Precision Eng.,2011,19(4):916-921. (in Chinese)

HOBIGER M,CORNOU C,BARD P,et al. A quaternion-based array processing technique for surface wave polarization analysis. 2011 IEEE Statistical Signal Processing Workshop (SSP),2011:5-8.

朱明,孙继刚,梁伟,等. 四元数曲波变换多源多聚焦彩色图像融合[J]. 光学精密工程,2013,21(10):2671-2678. ZHU M,SUN J G,LIANG W,et al. Multiple multifocus color image fusion using quaternion curvelet transform[J]. Opt. Precision Eng. ,2013,21 (10) :2671-2678. (in Chinese)

石屹然. 有色噪声背景下极化阵列信号参数估计方法研究. 兰州:兰州理工大学电气工程与信息工程学院,2010. SHI Y R. Study on methods of parameter estimation of polarization sensitive array signal in colored noise. Lanzhou:Institute of Electrical Engineering and Information Engineering,Lanzhou University of Science and Technology,2010. (in Chinese)

Views

110

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

Quaternion sparse decomposition algorithm for DOA estimation with acoustic vector sensor array

Particle filtering algorithm for DOA tracking with acoustic vector sensor array

Joint estimation of DOA and Doppler frequency by SQP

Attitude estimation base on gravity/magnetic assisted Euler angle UKF

Related Author

Yi-ran SHI

Xiao-hui ZHAO

Xin-bo LI

Yao-wu SHI

Xin-bo LI

Yao-wu SHI

Yang ZHAO

YANG Zhi-gang

Related Institution

College of Communication Engineering, Jilin University

Changchun Meteorological Instrument Research Institute

College of Biological and Agricultural Engineering, Jilin University

School of Mechanical Science and Engineering, Jilin University, Changchun 130022, China

Nuobo Rubber Production Co., Ltd.

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