基于空间差分平滑的非相关与相干信源数估计
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摘要
针对非相关信源与相干信源共存时信源数估计问题,提出了一种新的基于空间差分平滑的信源数估计算法。该算法首先利用SORTE法估计相互独立信源个数,结合非相关信源阵列导向矢量与噪声子空间正交关系特性,实现非相关信源数估计;其次基于空间差分法消除非相关信号并构造新矩阵,利用构造矩阵进行前向空间平滑,实现对相干信源解相干;最后利用SORTE法得到相干信源数估计。仿真实验结果验证了该算法的有效性。
The new spatial difference smoothing method is proposed for the number estimation of uncorrelated and coherent narrowbandsignalssimultaneously impinging on the far field of a uniform linear array. In the proposed method,the uncorrelated sources and coherent signal groupnumber is firstly estimated using the second order statistic of eigenvalues(SORTE)method. Theoretical analysis shows the coherent signals are not able to form peak in the MUSIC spectrum and the number of uncorrelated signals and coherent group can be obtained. Then the uncorrelated signals and noise can be eliminated from spatial differencessmoothing. A spatial differencing matrix that only contains the information of coherent signals is obtained. Finally thenumber of coherent signals is estimated based on the SORTE method. The theoretical analysis and simulationresults confirm the effectiveness of the method.
The new spatial difference smoothing method is proposed for the number estimation of uncorrelated and coherent narrowbandsignalssimultaneously impinging on the far field of a uniform linear array. In the proposed method,the uncorrelated sources and coherent signal groupnumber is firstly estimated using the second order statistic of eigenvalues(SORTE)method. Theoretical analysis shows the coherent signals are not able to form peak in the MUSIC spectrum and the number of uncorrelated signals and coherent group can be obtained. Then the uncorrelated signals and noise can be eliminated from spatial differencessmoothing. A spatial differencing matrix that only contains the information of coherent signals is obtained. Finally thenumber of coherent signals is estimated based on the SORTE method. The theoretical analysis and simulationresults confirm the effectiveness of the method.
引文
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[2]TUNCER T E,FRIEDLANDER B.Classical and modern direction-of-arrival estimation[M].Elsevier,Burlington:MA,2009.
[3]LIU G,CHEN H,SUN X,et al.Modified MUSIC algorithm for DOA estimation with nystro咬m approximation[J].IEEESensors Journal,2016,16(12):4673-4674.
[4]BASIKOLO T,ARAI H.Aprd-music algorithm DOAestimation for reactance based uniform circular array[J].IEEE Transactions on Antennas and Propagation,2016,64(10):4415-4422.
[5]CHEN F J,KWONG S,KOK C W.ESPRIT-like two-dimensional DOA estimation for coherent signals[J].IEEE Transactions on Aerospace&Electronic Systems,2010,46(3):1477-1484.
[6]ZHANG X,LI Y,YANG X,et al.Sub-array weighting un-music:a unified framework and optimal weighting strategy[J].IEEE Signal Processing Letters,2014,21(7):871-874.
[7]HUANG L,XIAO Y,LIU K,et al.Bayesian information criterion for source enumeration in large-scale adaptive antenna array[J].IEEE Transactions on Vehicular Technology,2016,65(5):3018-3032.
[8]YANG X,LI S,HU X,et al.Improved MDL method for estimation of source number at subarraylevel[J].Electronics Letters,2016,52(1):85-86.
[9]HUANG L,LONG T,MAO E,et al.MMSE-based MDLmethod for accurate source number estimation[J].IEEESignal Processing Letters,2009,16(9):798-801.
[10]HAN K,NEHORAI A.Improved source number detection and direction estimation with nested arrays and ULAs using jackknifing[J].IEEE Transactions on Signal Processing,2013,61(23):6118-6128.
[11]LU Z,ZOUBIR A M.Generalized bayesian information criterion for source enumeration in array processing[J].IEEE Transactions on Signal Processing,2013,61(6):1470-1480.
[12]叶中付,李春辉,贾红江,等.空间非平稳噪声下的信源数估计算法[J].兵工学报,2009,30(7):873-878
[13]SHAN T J,WAX M,KAILATH T.On spatial smoothing for direction-of-arrival estimation of coherent signals[J].IEEE Transactions on Acoustics Speech&Signal Processing,1985,33(4):806-811.
[14]PILLAI S U,KWON B H.Forward/backward spatial smoothing techniques for coherent signal identification[J].IEEE Transactions on Acoustics Speech&Signal Processing,1989,37(1):8-15.
[15]ZHANG L,LIU W.Robust beamforming for coherent signals based on the spatial-smoothing technique[J].Signal Processing,2012,92(11):2747-2758.
[16]刘兆霆,阮谢永,刘中.色噪声背景下基于声矢量阵列孔径扩展的相干目标波达方向估计[J].兵工学报,2011,32(3):257-263.
[17]QI C,WANG Y,ZHANG Y,et al.Spatial difference smoothing for DOA estimation of coherent signals[J].IEEE Signal Processing Letters,2005,12(11):800-802.
[18]QI C,CHEN Z,WANG Y,et al.DOA estimation for coherent sources in unknown nonuniform noise fields[J].IEEE Transactions on Aerospace&Electronic Systems,2007,43(3):1195-1204.
[19]MA X,DONG X,XIE Y.An improved spatial differencing method for DOA estimation with the coexistence of uncorrelated and coherent signals[J].IEEE Sensors Journal,2016,16(10):3719-3723.
[20]张进,叶中付,毛云祥.一种有效的相关噪声背景下宽带相干信号DOA估计算法[J].电子学报,2013,41(7):1278-1283.
[21]CHEN H,HOU C P,WANG Q,et al.Cumulants-based toeplitz matrices reconstruction method for 2-d coherent DOA estimation[J].IEEE Sensors Journal,2014,14(8):2824-2832.
[22]谢鑫,李国林,刘华文.采用单次快拍数据实现相干信号DOA估计[J].电子与信息学报,2010,30(3):604-608.
[23]CHEN F J,KWONG S,KOK C W.ESPRIT-like two-dimensional DOA estimation for coherent signals[J].IEEE Transactions on Aerospace&Electronic Systems,2010,46(3):1477-1484.