一种基于加权TOPS的宽带DOA估计新方法
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摘要
针对投影子空间正交性测试(Test of orthogonality of projected subspaces,TOPS)对宽带信号波达方向估计(Direction-of-arrival,DOA)存在角度分辨率较低,且易出现伪峰的问题,提出了一种加权TOPS的宽带DOA估计新方法。该方法通过最大化各频率点信号子空间与噪声子空间特征值区分度选择参考频点,同时利用信号子空间投影代替其零空间投影;然后利用正交频率子空间测试法(Test of orthogonality of frequency subspaces,TOFS)对平方TOPS法的判定矩阵进行加权修正;最后对判定矩阵求迹实现宽带DOA估计,避免了奇异值分解。与现有的TOPS法、平方TOPS以及TOFS相比,该方法提高DOA估计精度,能够有效剔除伪峰,降低了算法复杂度,且对间隔相近信源DOA估计分辨率更高。仿真实验结果验证了该方法的有效性。
Classical test of orthogonality of projected subspaces(TOPS)method is exposed to performance breakdown as the spurious peaks can largely appear in the pseudo spectrum. Here a new direction-of-arrival estimation method for wideband sources using weighted TOPS is introduced. First,it uses the single signal subspace of the reference frequency,where the difference between the smallest signal eigenvalue and the largest noise eigenvalue is the maximum. The proposed weighted TOPS uses the squared TOPS method and test of orthogonality of frequency subspaces(TOFS) method to improved DOA estimation performance,which can obtain the weighted matrix by suitable modification to extend the effectiveness of TOPS. Moreover,the weighted TOPS method uses signal subspace projection instead of null-space projection. Finally,direction-of-arrival estimation for wideband sources are estimated by using trace as performance metric instead of singular value decomposition in TOPS. Comparison of TOPS,squared TOPS and TOFS method,the proposed weighted TOPS can achieve reduction in spurious peaks,improve DOA estimation accuracy,and obtain better computational efficiency and resolution performance for closely spaced sources. Numerical simulations validate the effectiveness of the proposed method.
Classical test of orthogonality of projected subspaces(TOPS)method is exposed to performance breakdown as the spurious peaks can largely appear in the pseudo spectrum. Here a new direction-of-arrival estimation method for wideband sources using weighted TOPS is introduced. First,it uses the single signal subspace of the reference frequency,where the difference between the smallest signal eigenvalue and the largest noise eigenvalue is the maximum. The proposed weighted TOPS uses the squared TOPS method and test of orthogonality of frequency subspaces(TOFS) method to improved DOA estimation performance,which can obtain the weighted matrix by suitable modification to extend the effectiveness of TOPS. Moreover,the weighted TOPS method uses signal subspace projection instead of null-space projection. Finally,direction-of-arrival estimation for wideband sources are estimated by using trace as performance metric instead of singular value decomposition in TOPS. Comparison of TOPS,squared TOPS and TOFS method,the proposed weighted TOPS can achieve reduction in spurious peaks,improve DOA estimation accuracy,and obtain better computational efficiency and resolution performance for closely spaced sources. Numerical simulations validate the effectiveness of the proposed method.
引文
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[9]Shen Q,Liu W,Cui W,et al.Focused compressive sensing for underdetermined wideband DOA estimation exploiting high-order difference co-arrays[J].IEEE Signal Processing Letters,2017(99):86-90.
[10]Wang Y,Chen B,Zheng Y,et al.Joint power distribution and direction of arrival estimation for wideband signals using sparse Bayesian learning[J].IET Radar Sonar&Navigation,2017,11(1):52-59.
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[13]Okane K,Ohtsuki T.Resolution improvement of wideband direction-of-arrival estimation“squared-TOPS”[C]//2010 IEEEInternational Conference on Communications Foundations of Computational Mathematics.Cape Town,South Africa:IEEE,2010:1550-3607.
[14]Hayashi H,Ohtsuki T.DOA estimation for wideband signals based on weighted squared TOPS[J].Eurasip Journal on Wireless Communications&Networking,2016(1):243-254.
[15]Yu H,Liu J,Huang Z,et al.A new method for wideband DOA estimation[C]//International Conference on Wireless Communications,Networking and Mobile Computing.Shanghai,China:IEEE,2007:598-601
[2]Zhang D,Zhang Y,Zheng G,et al.Improved DOA estimation algorithm for co-prime linear arrays using root-MUSICalgorithm[J].Electronics Letters,2017,53(18):1277-1279.
[3]Zheng W,Zhang X,Sun H,et al.Non-circular generalised-ESPRIT algorithm for direction of arrival estimation[J].IET Radar Sonar&Navigation,2017,11(5):736-744.
[4]叶中付,罗大为,韦进强,等.相干信号波达方向估计技术综述[J].数据采集与处理,2017,32(2):258-265.Ye Zhongfu,Luo Dawei,Wei Jinqiang,et al.Review for coherent DOA estimation technique[J].Journal of Data Acquisition&Processing,2017,32(2):258-265.
[5]尤国红,邱天爽,兰天.脉冲噪声环境下宽带循环平稳信号DOA估计算法[J].数据采集与处理,2012,27(4):399-403.You Guohong,Qiu Tianshuang,Lan Tian.DOA estimation algorithm of wideband cyclostationary signals in impulsive noise environment[J].Journal of Data Acquisition&Processing,2012,27(4):399-403.
[6]Sellone F.Robust auto-focusing wideband DOA estimation[J].Signal Processing,2006,86(1):17-37.
[7]Zhao Y,Zhang L,Gu Y,et al.Efficient sparse representation method for wideband DOA estimation using focusing operation[J].IET Radar Sonar&Navigation,2017,11(11):1673-1678.
[8]曾帆,黄惠祥,童峰.采用压缩感知的麦克风阵列远场声源方位估计[J].兵器装备工程学报,2018,39(5):134-138.Zeng Fan,Huang Huixiang,Tong Feng.Far field compressed sensing microphone array DOA estimation[J].Journal of Ordnance Equipment Engineering,2018,39(5):134-138.
[9]Shen Q,Liu W,Cui W,et al.Focused compressive sensing for underdetermined wideband DOA estimation exploiting high-order difference co-arrays[J].IEEE Signal Processing Letters,2017(99):86-90.
[10]Wang Y,Chen B,Zheng Y,et al.Joint power distribution and direction of arrival estimation for wideband signals using sparse Bayesian learning[J].IET Radar Sonar&Navigation,2017,11(1):52-59.
[11]Yoon Y S,Kaplan L M,Mcclellan J H.TOPS:New DOA estimator for wideband signals[J].IEEE Transactions on Signal Processing,2006,54(6):1977-1989.
[12]Shaw A K.Improved wideband DOA estimation using modified TOPS(mTOPS)algorithm[J].IEEE Signal Processing Letters,2016,23(12):1697-1701.
[13]Okane K,Ohtsuki T.Resolution improvement of wideband direction-of-arrival estimation“squared-TOPS”[C]//2010 IEEEInternational Conference on Communications Foundations of Computational Mathematics.Cape Town,South Africa:IEEE,2010:1550-3607.
[14]Hayashi H,Ohtsuki T.DOA estimation for wideband signals based on weighted squared TOPS[J].Eurasip Journal on Wireless Communications&Networking,2016(1):243-254.
[15]Yu H,Liu J,Huang Z,et al.A new method for wideband DOA estimation[C]//International Conference on Wireless Communications,Networking and Mobile Computing.Shanghai,China:IEEE,2007:598-601